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Hot Topics! Reading List
for...
Mathematics
and for more
Mathematical
Fiction, check this list by Alex Kasman, College of Charleston
The Youngest
Mathematicians (preschool through late elementary)

Actual
Size by Steve Jenkins
 Compare the crocodile to the Goliath frog, the Atlas moth to the dwarf
goby... see how these reallife bugs, fish, and animals compare in size through
amazing paper collages...

The Adventures of Penrose the Mathematical Cat: The Mathematical Cat by Theoni Pappas
 Penrose, a cat with a knack for math, takes children on an adventurous tour of mathematical concepts from fractals to infinity.
Don't miss the sequel,
Further
Adventures of Penrose the Mathematical Cat...
 Amanda Bean's Amazing Dream by Marilyn Burns
 Known as Bean Counter, young Amanda Bean happily counts "anything and everything" by ones, twos, fives, and tens. Although her teacher tells her that multiplication is important, Amanda remains unconvinced until a strange dream...

Anno's
Counting House by Mitsumasa Anno
 On the first page all we see is a barren winter landscapea hazy, blue sky
above a hazy, white hill. Nothing to count here. But wait, this is zero! On the
next page the scene brightens: one tree, one bird, one house. Turn the page
again...

Anno's
Mysterious Multiplying Jar by Masaichiro and Mitsumasa Anno
 Multiplication and factorials, presented for all ages!

The
Best of Times: Math Strategies that Multiply by Greg Tang
 Giving kids tools rather than rules and more memorization, pays off once
again, using rhymes and commonsense tricks to walk through the multiplication
tables from zero to 10 (multiplication)
 A Cloak for the Dreamer by Aileen Friedman
 A tailor's three sons make cloaks for the Archduke. One uses only rectangles; the second, squares and triangles; but the third son makes his of circles the shape of the globe. While beautiful, it's filled with open spaces...

The Grapes of Math: Mind Stretching Math Riddles by Greg Tang
 If children can open their minds to new ways of perceiving math, anything is possible! Greg Tang shows readers creative ways to use patterns and combinations of numbers to solve math puzzles quickly and effectively
(addition to multiplication)
 The Greedy Triangle by Marilyn Burns
 An introduction to shapes and polygons, a bored triangle is turned into a quadrilateral after a visit to the shapeshifter. Delighted with his new career opportunities he decides the more angles the better, until an accident teaches him a lesson

The
HandsOn Marvelous Ball Book by Bradford HansenSmith
 A picture book for all ages, from 4 or 5 to adult. Jimmy discovers a
marvelous ball that keeps shifting its shape, size, and color, this book offers
directions for making threedimensional geometric figures from simple materials:
thin paper plates, bobby pins, and masking tape... You can, too!
 If
You Made a Million by David Schwartz
 Entertaining introduction to money, a little and a lot, with the
theme that "enjoying your work is more important than money," and "making money
means making choices"
 The King's Chessboard by David Birch
 When the wise man refuses to accept a reward for his service to the king, the king insists and so the wise man asks for a payment of rice for each square of the king's chessboardthe amount to be doubled each day...

Making
Faces by Norman Messenger
 An introduction to permutations and combinations, with split pages to create
65,000 different faces!

Math
Appeal by Greg Tang
 Problems  how squares on a kite can be added quickly or peas in a pod
grouped  with hints for their solutions (patterns and addition)

The Math Curse
by Jon Scieszka
 Did you ever have one of those days where everything is a math problem? You have 10 things to do, and 30 minutes till the bus leaves. Is there enough time? You have 3 shirts and 2 pairs of pants. How many outfits can you make?
Also read
Science Verse...

Math
for All Seasons by Greg Tang
 With a few simple tricks, math can become fun! Encourages kids to
think through problems, rather than relying on memorization and formulas (patterns
and addition)
 Mummy
Math: An Adventure in Geometry by Cindy Neuschwander
 Matt and Bibi go to Egypt in search of an ancient pharaoh's mummy. When the
twins are accidentally shut in the pyramid, they decide to explore. Using
hieroglyphic clues...
 Patterns
in Peru: An Adventure in Patterning by Cindy Neuschwander
 This time Matt and Bibi accompany their scientist parents to Peru. By
interpreting patterns woven into an Inca shawl, the youngsters follow clues to
the Lost City of Quwi, whose location has eluded explorers for centuries...
 On Beyond a Million: An Amazing Math Journey by David Schwartz
 Professor X and his dog, Y, introduce counting by powers of 10  leaping quickly from 1, 10, and 100 on to exponentially greater numbers such as millions, quindecillions, and googols. Sidebars include realworld examples of large numbers, and the conclusion clears up misconceptions about infinity

One
Grain Of Rice: A Mathematical Folktale by Demi
 Exotic Indian tale and illustrations introduce exponents and exponential
growth... quick as you can imagine!

One
Monday Morning by Uri Shulevitz
 The days of the week, told in a royal tale with a new character each day...

Quack
and Count by
Keith Baker
 Board book. Seven uniquely marked ducklings slide, chase bees, and play
peekaboo as they group on doublespread pages to illustrate ways to add up to
seven..

Roman
Numerals I to MM: Liber De Difficillimo Computando Numerum by
Arthur Geisert
 Roman Numerals go to the pigs... thousands of them! A great
introduction to Roman numerals...

Round
Buildings, Square Buildings, and Buildings that Wiggle Like a Fish by
Phillip M. Isaacson
 Explore architecture around the world, through amazing photographs and
descriptions...

A
Second Is A Hiccup by Hazel Hutchins and Kady
MacDonald Denton
 Time is a relative thing, and A Second is a Hiccup brings the abstract to
life in a fun, educational way!

Sir Cumference and the First Round Table: A Math Adventure by Cindy Neuschwander
 Assisted by his knight, Sir Cumference, and using ideas offered by his wife and son, King Arthur finds the perfect shape for his table

Sir Cumference and the Dragon of Pi: A Math Adventure by Cindy Neuschwander
 A young boy gives his father the wrong potion to cure a bellyache, and must solve the riddle of the ratio of a circle's circumference to its diameter to get the dosage to cure him
 Sir Cumference and the Great Knight of Angleland by Cindy Neuschwander
 Sir Cumference's son, Radius, is in a quest to earn his knighthood by rescuing a king. The circular medallion (a protractor) given to Radius by his father and his mother, Lady Di of Ameter, aid him in examining every angle along the way...
 Sir Cumference and the
Sword in the Cone by Cindy Neuschwander
 Sir Cumference, Radius, and Sir Vertex search for Edgecalibur, the sword
that King Arthur has hidden in a geometric solid...

Sir
Cumference and the Isle of Immeter by Cindy Neuschwander
 Sir Cumference returns to introduce readers to the concepts of perimeter and
area...

Spaghetti and Meatballs for All: A Mathematical Story by Marilyn Burns
 When Mrs. Comfort's guests rearrange all of her carefully placed tables and chairs, dinnertime at the family reunion becomes a complete mess, in a playful introduction to the concepts of area and perimeter

Spotted
Yellow Frogs: Foldout Fun with Patterns, Colors, 3D Shapes, Animals by
Matthew Van Fleet
 Speckled bugs and spotted frogs, fold the shapes and find the patterns,
count them all! Flap book with foldout surprises... Also read Van Fleet's
One Yellow Lion,
Fuzzy Yellow Ducklings
and Alphabet

Squarehead
by Harriet Ziefert
 George is a squarehead, living in his square house and square world... but
what spherical wonders invade his dreams? Not only a book about shapes, but also
an introduction to differences...

Tiger Math: Learning to Graph from a Baby Tiger by Ann Whitehead Nagda
 T. J., a Siberian tiger cub, is born at the Denver Zoo. Ten weeks later, the death of his mother puts his survival in question. Follow the little tiger through the difficult months ahead. The text is paired with different types of graphs (picture, circle, bar, and line) that display information such as the numbers and types of tigers in the wild, T. J.'s food consumption, and his weight compared with that of his father at the same age

The
Wing on a Flea: A Book about Shapes by Ed Emberley
 First published in 1961, this fun rhyme introduces geometric shapes in real
life...

You
Can Count on Monsters
by Richard Evan Schwartz
 The playful and colorful monsters are designed to give children (and even
older audiences) an intuitive understanding of the building blocks of numbers
and the basics of multiplication. The introduction and appendices are designed
to help adult readers answer questions about factoring from their young audience...

Murderous Maths by Kjartan Poskitt.
Visit Horribles! for the whole Horrible collection!
 Murderous
Maths (or from the Amazon.co.uk
Murderous Maths)

More Murderous Maths (or from the Amazon.co.uk
More Murderous Maths)
Fractions and Averages: The Mean and Vulgar Bits (or from the Amazon.co.uk
Fractions and Averages...)

Do
You Feel Lucky?: The Secrets of Probability (or from the Amazon.co.uk
Do You Feel Lucky?)

Vicious Circles and Other Savage Shapes (or from the Amazon.co.uk
Vicious Circles and Other Savage Shapes)

The Essential Arithmetricks (or from the Amazon.co.uk
The Essential Arithmetricks)

Numbers: the Key to the Universe (or from the Amazon.co.uk
Numbers: the Key to the Universe)
 An introduction to number Theory

Professor Fiendish's Book of Diabolical Brainbenders (or from the
Amazon.co.uk
Professor Fiendish's Book...)

Desperate Measures (or from the Amazon.co.uk
Desperate Measures)
 All about measurement...

The Fiendish Angletron (or from the Amazon.co.uk
The Fiendish Angletron)

Phantom X (or from the Amazon.co.uk
Phantom X)
 All about algebra...
 The
Perfect Sausage and Other Fundamental Formulas (or from the Amazon.co.uk
The Perfect Sausage...)

Su
Doku (or from the Amazon.co.uk
Su Doku)

Kakuro
and Other Fiendish Number Puzzles (or from the Amazon.co.uk
Kakuro and Other Fiendish Number Puzzles)
 Math in the same vein as Terry Dreary's Horrible Science... fun
for everyone!


As They Grow in Mathematics
 Afterwards: Folk and Fairy Tales With Mathematical Ever Afters by Peggy Kaye
 Delight in reading these multicultural stories and then solving the math
problems that cleverly involve the main characters...
 Calculus by and for Young People (Ages 7, Yes 7 and Up) by Donald Cohen
 A description of how young people, Don and some mathematicians, solved problems which involve infinite series, infinite sequences, functions, graphs, algebra, +,  important mathematical ideas. Also available,
Calculus by and for Young People Worksheets (some say all you need)...

The
Cat in Numberland by Ivar Ekeland
 The story of a straight line that falls in love with a dot
 The Dot and the Line: A Romance in Lower Mathematics by Norman Juster
 The story of a straight line that falls in love with a dot

Fractals, Googols and Other Mathematical Tales by Theoni Pappas
 Explore mathematical concepts including real numbers, exponents, dimensions, tangrams, and geometry in both serious and humorous ways

Fractal
Universe 2010 Wall Calendar
 Digital images of the intriguing and beautiful world of fractals, where art
and science blend to create a myriad of colors, forms, and patterns
 From Zero to Infinity: What Makes Numbers Interesting by Constance Reid
 A classic of popular mathematical literature (since 1955) that combines the mathematics and the history of number theory with descriptions of the mystique that has, on occasion, surrounded the numbers even among great mathematicians

G Is for Googol: A Math Alphabet Book
by David Schwartz
 Entries include abacus, binary, cubit, diamond ("There are no diamonds in math. We put diamond in this book so you would know it doesn't belong here"), equilateral, exponent, Fibonacci, googol, yaxis, and zillion

Go
Figure!: A Totally Cool Book About Numbers
by Johnny Ball
 Filled with puzzles and problems to solve, 4 sectionsWhere do numbers come
from? Magic numbers, Shaping up, and The world of mathcover the history of
counting, zero, number theory, Pi, chance, logic, fractals, and more, including
brief histories of mathematical greats from Ahmose to Einstein...

How Math Works by Carol Vonderman
 Fascinating explanations, activities, profiles of history's most noted mathematical thinkers, and experiments introduce young readers to the world of mathematics
 The
I Hate Mathematics! Book
by Marilyn Burns
 Events, gags, magic tricks, and experiments to change one from a
mathematical weakling into a mathematical heavyweight. Written especially for
children who have been convinced by the attitudes of adults that mathematics is
impossible and only for bright kids. It shows that math is nothing more than a
way of looking at the world and that it can be relevant to everyday life and
fun...

It's
Alive: It's Math Like You've Never Known It Before...and May Never Know It Again
by Asa Kleiman and David Washington

It's
Alive and Kicking ... Math the Way It Ought to BeTough, Fun, and a Little
Weird by Asa Kleiman and David Washington
 A twobook set of weird, crazy, and bizarre math problems guaranteed to
challenge, stimulate, and grossout math students everywhere. In addition to
making math highly motivational, this set of books focuses on teaching students
to translate real life problems and questions into mathematical equations. All
of the problems are based on known facts...
 The Joy of Mathematics by Theoni Pappas

More Joy of Mathematics: Exploring Mathematics All Around You by Theoni Pappas
 Part of the joy of mathematics is that it is everywhere in soap bubbles, electricity, da Vinci's masterpieces, even in an ocean wave. Written by the wellknown mathematics teacher consultant, this two volume collection of over 500 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the "real" world

The
Little Book of Scientific Principles, Theories, & Things by Surendra Verma
 Serious science, presented in an easytoaccess way, in historical order...
great introduction to 200 topics and people, and a way to answer all their
science and math questions!


The
Mathematics Calendar 2010 by Theoni
Pappas
 A problem a day, all year long! Plus facts, curiosities, and
challenging problems...

Math
Dictionary for Kids: The Essential Guide to Math Terms, Strategies, and Tables
by Theresa R. Fitzgerald
 Covering everything from "addend" to "zero," this comprehensive resource
gives kids definitions, illustrations, and examples that can help them
investigate math fun and solve math problems...

Math
for Kids & Other People Too! by Theoni Pappas
 Help kids discover what mathematics is all about  not dreary, repetitive
computations, but concepts brought to life by stories, puzzles, and challenges.
With a section dedicated to puzzles, games, and tricks
 Make Shapes Series No. 1 by Gerald Jenkins
 19 mathematical models for children to cut out of the book, glue, and decorate
 Make Shapes Series No. 2 by Gerald Jenkins
 Make Shapes Series No. 3 by Gerald Jenkins
 More mathematical models for children...
 The Man Who Counted: A Collection of Mathematical Adventures by Malba Tahan
 The Arabian adventures of a man with remarkable mathematical skills, which
he uses to settle conflict and give wise advice

Math Wizardry for Kids by Margaret Kenda, Phyllis S. Williams
 Over 200 math puzzles, games and designs for kids, also available as a kit with a protractor, various triangles, a ruler, compass, and other essential tools

Mathematics: From the Birth of Numbers by Jan Gullberg
 If a family is to have only one mathematics book on the reference shelf, then this is the one...

Math
Olympiad Contest Problems for Elementary and Middle Schools by George
Lenchner
 Four hundred challenging math problems provide kids with a book of
problems which introduces many different problemsolving strategies...

Primary
Grade Challenge Math
by Edward Zaccaro
 Challenge math now available for younger kids, too...
or
from
Amazon.co.uk
 Sideways Arithmetic from Wayside School by Louis Sachar
 A collection of wacky, mindboggling math puzzles and brain teasers challenges young readers...
 More Sideways Arithmetic from Wayside School by Louis Sachar
 A sequel to the original collection of brain twisters and math puzzles includes ""How much is PEPPERS + PIG LIPS?"" and ""If Jenny's shirt has sparkles on it, will Todd have egg in his hair?""
Between Arithmetic and Higher Math

1000
Play Thinks: Puzzles, Paradoxes, Illusions & Games
by Ivan Moscovich
 Visual challenges, riddles, and puzzles to help push thinking into these new
frontiers, some original; others are adaptations of classic challenges. Bold,
bright, colorful, and genuinely inviting, they are arranged by mathematical or
scientific category, and ranked by a degree of difficulty from 1 to 10...

25
Real Life Math Investigations That Will Astound Teachers and Students by
Edward Zaccaro and Jack Berg
 Find the wondrous side of mathematics, the music that's made with the scales
of basic arithmetic. Discover the power of mathematics as the danger of
shortterm loans, investigate math mistakes in the news media and their
potential consequences, watch as mathematics shows the futility of depending on
cornbased ethanol to lower our dependence on oil imports, learn the surprising
answer to how much money a hybrid car will save its owner, and much more...

Amazing
"Aha!" Puzzles by Lloyd King
 Improve your ability to think "outside the box" and boost your creativity
with these mixed bag puzzles  some are easy, some are not!

Becoming
a Problem Solving Genius: A Handbook of Math Strategies
by Edward Zaccaro
 Every math student needs a tool belt of problem solving strategies to call
upon when solving word problems. In addition to many traditional strategies,
this book includes new techniques such as Think 1, the 210 method, and more...

A
Beginner's Guide to Constructing the Universe: Mathematical Archetypes of
Nature, Art, and Science by Michael S. Schneider
 In the spiral of the nautilus shell, in the veins of a maple leaf, in the
bonds of the benzene ringeverywhere he looks, we see a cosmic geometry...

The Cartoon Guide to Statistics by Larry Gonick
 A signpost directing you toward "Statistical Literacy," "Enlightenment," and "Diploma"; within, you'll find lucid explanations of probability, distributions, error functions, hypothesis testing, and other basic tools of statistics

Challenge Math For the
Elementary and Middle School Student
by Edward Zaccaro
 "Math is often taught as all scales and no music. This book contains the music!"
I couldn't have said it better myself  tons of fun problems...
or
Amazon.co.uk

Fantasia
Mathematica: Being a Set of Stories, Together With a Group of Oddments and
Diversions, All Drawn from the Universe of Mathematics by Clifton Fadiman
 This anthology of mathematically oriented short stories and poems should
delight a new generation of readers...
 The
Mathematical Magpie: Being More Stories, Mainly Transcendental, Plus Subjects of
Essays, Rhymes, Music, Anecdotes, Epigrams, and Other Prime oddments and
diversions, rational and irrational, all derived from the infinite domain of
mathematics by Clifton
Fadiman
 Fantasia Mathematica, volume two...

Fractals, Googols and Other Mathematical Tales
by Theoni Pappas
 Explores real numbers, exponents, dimensions, the golden rectangle in both serious and humorous ways. Penrose the cat, the parable of p, the numberline that fell apart, Leonhard the magic turtle and many others offer an amusing and entertaining way to explore mathematical ideas...
 Life
by the Numbers by Keith Devlin
 Most of us think mathematics is about numbers and counting. That's just the
basics, though, and Keith Devlin's companion book to the PBS series "Life
By the Numbers" gives examples of the versatility of math as a tool for
understanding just about everything. Original VHS series sometimes
available used, and sometimes even the
7volume DVD set...


Math
Doesn't Suck: How to Survive MiddleSchool Math Without Losing Your Mind or
Breaking a Nail by Danica McKellar

Gives girls the tools they need to master the math concepts that confuse
middleschoolers most, including fractions, percentages, prealgebra, and more.
Features hip, realworld examples, stepbystep instruction, and engaging
stories of Danica’s own childhood struggles in math (and stardom). In addition,
borrowing from the style of today’s teen magazines, it even includes a Math
Horoscope section, Math Personality Quizzes, and RealLife
Testimonials—ultimately revealing why math is easy and cool... Also read
McKellar's Kiss
My Math: Showing PreAlgebra Who's Boss
 Math
for Real Kids by David B. Spangler
 Fun math book for upper elementary gifted kids (middle school
notmathgifted), that makes it easy to understand the context  why do I need
to know this? Sports scores, restaurant tips, probability of guessing on
tests... lots of kidfriendly examples...

Math
for Smarty Pants
by Marilyn Burns
 Fundamental math concepts explained through entertaining puzzles, tricks and
word problems. For the numbersaverse, this book proves that numbers are only a
part of math; for the math whiz, it offers plenty of challenges, too...
 Mathematics, A
Human Endeavor by Harold R. Jacobs
 Subtitled "A book for those who think they don't like the subject." A wonderful way to learn mathematics! (text book,
a bit expensive)


The Number Devil: A Mathematical Adventure
by Hans Magnus Enzensberger
 In 12 dreams, a 12yearold boy who hates math discovers the amazing world of numbers: infinite numbers, prime numbers, Fibonacci numbers, numbers that magically appear in triangles, and numbers that expand without end...

the Planiverse: computer contact with a twodimensional world
by A.K. Dewdney
 Imagine you live in a twodimensional world. Practically speaking, you're
going to need your eyes on the side of your head. Imagine you have a house
in your 2D world. How can you construct a door that a 2D person can open up? If
you have a front and rear door, and friends open both at once, will the roof of
your house collapse? Dewdney explores cool 2D inventions and solutions,
with simple diagrams. A great problemsolving eyeopener...

Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and
Amazing Math Tricks
by Arthur Benjamin and Michael Shermer
 Learn neat math tricks to make complex calculations easy, and amaze your
friends and yourself. Amazing tricks to multiply large numbers, memorize
digits of pi or any other sequence of numbers, figure squares and cubes almost
instantly. For
a sample, watch
Arthur
Benjamin does "Mathemagic" TED Talk!

The
Triumph of Numbers: How Counting Shaped Modern Life
by I.B. Cohen
 We think about almost everything in numerical terms, but this engaging essay
shows that this mindset developed only gradually. Explore the colonization of
the modern mind by numbers...
Ready for Algebra, Geometry, and more
 A Gebra Named Al: A Novel by Wendy Isdell
 Julie hates algebrauntil she meets a gebra named Al, and the Periodic horses journey through the Land of Mathematics, where the Orders of Operations are real places and fruits that look like Bohr models grow on chemistrees... Also available, a teachers guide Using a Gebra Named Al in the Classroom

Aha! Insight and Aha! Gotcha by Martin Gardner
 144 wonderful puzzles from the reigning king of recreational mathematics. In
this combined volume, you will find puzzles ranging over geometry, logic,
probability, statistics, number, time, combinatorics, and word play. Aha!
problems "seem difficult, and indeed are difficult if you go about trying to
solve them in traditional ways. But if you can free your mind from standard
problem solving techniques..."

Algebra the Easy Way by Douglas Downing
(← look for this author, he's excellent in The Easy Way series)
 an algebra text in the form of a fantasy novel, with the story's characters solving problems by using algebra.
Also... Trigonometry the Easy Way by Douglas Downing,
Calculus the Easy Way by Douglas Downing

Algebra
Survival Guide: a Conversational Guide for the Thoroughly Befuddled by Josh
Rappaport
 Cartoon based study guide, fun yet functional! Also
Algebra
Survival Guide Workbook

The
Art of Problem Solving, Volume 1: the Basics by Sandor Lehoczky and
Richard Rusczyk
The
Art of Problem Solving, Volume 2: and Beyond by Sandor Lehoczky and
Richard Rusczyk
 A problemsolving tutorial that can be used to prepare for mathematics
competitions. Written at the high school level...

The Book of Numbers by John Horton Conway and Richard K. Guy
 A fascinating review of numbers: from Egyptian fractions to surreal numbers; prime numbers, Fibonacci numbers, Catalan numbers, Fermat numbers; from numbers so large they cannot be imagined (and barely be named) to rulerandcompass

Calculus by and for Young PeopleWorksheets by Donald Cohen
 This is a book of problems to work on and think about. Archimedes, Newton,
Euler, my students and I have worked on them also  they are important...
 Chances
Are: Adventures in Probability by Michael and Ellen Kaplan
 A fascinating layman's trek through probability theory, from its roots in
dice games in the seventeenth century to its role in modernday thermodynamics,
tackles humanity's innate need to seek order in even the most chaotic
phenomena...
 In Code: A Mathematical Journey by Sarah Flannery
 British bestseller by and about the 16yearold who stunned the world by inventing a way of making publickey encryption much more efficient; an engaging, almost playful, book in which the reader is encouraged to spend lots of time working out mathematical puzzles
 Crossing
the River with Dogs: Problem Solving for College Students by Ken Johnson,
Ted Herr, & Judy Kysh
 Great problemsolving techniques for reallife mathematics, designed for
college kids, but useful for gifted kids starting in late elementary school!
 Elementary
Algebra by Harold R. Jacobs
 A terrific way to learn algebra! (text book, and good!)
 e:
The Story of a Number by Eli Maor
 The interest earned on a bank account, the arrangement of seeds in a
sunflower, and the shape of the Gateway Arch in St. Louis are all intimately
connected with the mysterious number e. In this informal and engaging history...

E=mc^{2}:
A Biography of the World's Most Famous Equation by David Bodanis
 We grow up knowing that the equation E=mc^{2} changed the shape of our world,
but never understanding what it actually means Read the "biography" of one
of the greatest scientific discoveries in historythat the realms of energy and
matter are inescapably linkedand learn a seemingly impenetrable theory is
actually a dramatic human achievement and an uncommonly good story...
 Everything
and More: A Compact History of Infinity by David Foster Wallace
 Is infinity a valid mathematical property or a meaningless abstraction? The
nineteenthcentury mathematical genius Georg Cantor's answer to this question
not only surprised him but also shook the very foundations upon which math had
been built. Cantor's counterintuitive discovery of a progression of larger and
larger infinities created controversy in his time, but it also helped lead to
the development of set theory, analytic philosophy, and even computer
technology...

Fantasia
Mathematica edited by Clifton Fadiman
 Anthology of mathematically
oriented short stories and poems should delight a new generation of readers...
 Flatland: A Romance of Many Dimensions by Edwin Abbott Abbott
 Visit a completely flat world of two physical dimensions where all the inhabitants are geometric shapes, who think the planar world of length and width that they know is all there is. But one inhabitant discovers the existence of a third physical dimension...

Sphereland: A Fantasy About Curved Spaces and an Expanding Universe by Dionys Burger

 The sequel, sort of...

Geometry,
Relativity, and the Fourth Dimension by Rudolf V. B. Rucker

 Fourth dimension and concepts of relativity, as the Flatland characters
continue their adventures...
The
Fourth Dimension: A Guided Tour of the Higher Universes by Rudolf Rucker
Pulls together study and conjecture about higher dimensions (everything from
Abbot's Flatland to Einstein's relativity theory), and explains it using easy to
understand analogies and imprecise cartoons...
Geometry: Seeing, Doing, Understanding by Harold R. Jacobs
A great way to learn geometry! (text book, and good!)
Godel Escher Bach: An Eternal Golden Braid by Douglas Hofstadter
a Pulitzer prizewinning treatise on genius, explores the workings of brilliant people's brains with the help of historical examples and brainteaser puzzles
The
Golden Ratio: The Story of Phi, the World's Most Astonishing Number by Mario
Livio
Theoretical astrophysicist Livio gives pi's overlooked cousin phi its due
with this lively account, the first on the subject written for the layperson...
Innumeracy:
Mathematical Illiteracy and Its Consequences
by John Allen Paulos
Sprinkling his discussion of numbers and probabilities with quirky stories
and anecdotes, Paulos ranges freely over many aspects of modern life, from
contested elections to sports stats, from stock scams and newspaper psychics to
diet and medical claims, sex discrimination, insurance, lotteries, and drug
testing. Readers of Innumeracy will be rewarded with scores of
astonishing facts...
The Last Universe
by William Sleator After a brief introduction to the uncertainty of quantum
mechanics, the paradox of Schrodinger's cat, and the possibility of infinite
universes, Sleator launches into a story inspired by these ideas.
Fourteenyearold Susan feels burdened by her parents' expectation that she will
provide help and companionship for her older brother, Gary, an invalid who is
wheelchairbound and becoming progressively weaker. Exploring their large
garden, they discover that entering the ofteninvisible maze at its center will
enable them to travel to other times and even different versions of the present
reality
Letters
to a Young Mathematician by Ian Stewart
Letters from a fictitious mathematician to his niece, over a period of 20
years, from the time the niece is thinking about studying mathematics in high
school through the early years of her academic career. Introduces readers to the
basics of the discipline of mathematics while providing a sense of what
mathematicians actually do...
Making
Mathematics with Needlework: Ten Papers and Ten Projects edited by Sarahmarie
Belcastro and Carolyn Yackel
Investigate the interplay between mathematics and needlework, with stories
of what happens when mathematicians turn to their hobbies but still continue to
think about mathematics. Great math, carefully explained, with simple
knitting projects. Read KFinn's review for Hoagies' Page on Amazon...
The Man Who Loved Only Numbers: The Story of Paul Erdos
and the Search for Mathematical Truth by Paul Hoffman
The biography of an amazing and prolific mathematician whose life as a
worldwandering numerical nomad. Also read a different biography...
My
Brain is Open: The Mathematical Journeys of Paul Erdos by Bruce Schechter
A Mathematician Reads the Newspaper
by John Allen Paulos
Reveals the hidden mathematical angles in countless media stories. Real life
perspective on the statistics we rely on and how they can mislead is for anyone
interested in gaining a more accurate view of their world. Humorous and
knowledgeable...
The
Mathematics of Oz: Mental Gymnastics from Beyond the Edge by Clifford A.
Pickover
Grab a pencil. Relax. Then take off on a mindboggling journey to the
ultimate frontier of math, mind, and meaning as acclaimed author Clifford
Pickover, Dorothy, and Dr. Oz explore some of the oddest and quirkiest highways
and byways of the numerically obsessed...
Misteaks:
And How to Find Them Before the Teacher Does by Barry Cipra
Written in a humorous vein that encourages one to realize that mathematics
is very often enjoyable, even to the novice, the book contains sound advice that
the student might heed in order to avoid unnecessary errors....This essay
certainly helps to bring mathematics to its rightful placethe real world.
The
Möbius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games,
Literature, Art, Technology, and Cosmology by Clifford A. Pickover
Today Möbius's strip is everywhere: it forms the familiar recycling symbol;
freestyle skiers attempt a stunt called a "Möbius flip"; and it appears in the
works of artists like M.C. Escher and writers like Arthur C. Clarke. Pickover
uses the strip as a jumpingoff point for a wideranging exploration of objects
that are "chiral" (objects that are mirror images yet cannot be superimposed on
each other) or have unusual properties of continuity. His travels take us from
Earth to the outer reaches of space...
A
Passion for Mathematics: Numbers, Puzzles, Madness, Religion, and the Quest for
Reality by Clifford A. Pickover
An educational, entertaining trip through the curiosities of the math world,
blending an eclectic mix of history, biography, philosophy, number theory,
geometry, probability, huge numbers, and mindbending problems into a
delightfully compelling collection that is sure to please math buffs, students,
and experienced mathematicians alike...
Pi:
A Biography of the World's Most Mysterious Number by Alfred S Posamentier &
Ingmar Lehmann
Reveals the mystery behind the constant number Pi
the Planiverse: computer contact with a twodimensional world
by A.K. Dewdney
Imagine you live in a twodimensional world. Practically speaking, you're
going to need your eyes on the side of your head. Imagine you have a house
in your 2D world. How can you construct a door that a 2D person can open up? If
you have a front and rear door, and friends open both at once, will the roof of
your house collapse? Dewdney explores cool 2D inventions and solutions,
with simple diagrams. A great problemsolving eyeopener...
Prime
Numbers: The Most Mysterious Figures in Math by David Wells
Brings to life the strange attraction of primes, from their current use in
codes and cryptography to the Fermat and Fibonacci numbers, Goldbach's
Conjecture, the Mersenne primes, and the number mysticism of old Pythagoras;
from prime records and mathematicians, ingenious efforts to find primes
(including a 2002 breakthrough algorithm), all the way to the unproven Riemann
Hypothesis and the extraordinary zeta function
Prof.
E. McSquared's Original, Fantastic & Highly Edifying Calculus Primer: Expanded
Intergalactic Version by Johnson Swann
A comic book of Calculus... it's fun!
Real World Algebra: Understanding the Power of Mathematics
by Edward Zaccaro
Amazon.co.uk
The Ten Things All Future Mathematicians and Scientists Must Know (But are
Rarely Taught) by Edward Zaccaro
Mathematicians and scientists have been closely tied to many famous
disasters. This book presents the ten things our future mathematicians and
scientists must know to prevent these kinds of tragedies from occurring...
The SandReckoner by Gillian Bradshaw
Armed with just a few antique facts, Bradshaw ably recreates the
extraordinary life of Archimedes, the great mathematician and engineer who built
sophisticated weapons during the first Punic War...
Scammed
by Statistics
by Ed ZaccaroWe all need this book! We are continually bombarded by
charts, graphs, and quotes from various studies with the goal of influencing
our opinions, health, or buying habits, yet we seldom know if we are being
manipulated, deceived, and lied to by those presenting the data. We need to
know how to interpret statistics and are aware of the numerous techniques
that are used to distort and misuse numbers. Using real examples Zaccaro
illustrates the good and evil of numbers while providing the knowledge to
properly interpret statistical data, ask the right questions...
Science
of Hitting by Ted WilliamsThe classic handbook of baseball by
it's greatest hitter, but at the same time, a fascinating study in
mathematics of hitting and of baseball...
Surely You're Joking, Mr. Feynman!:
Adventures of a Curious Character by Dr. Richard Feynman
A series of anecdotes shouldn't by rights add up to an autobiography, but
that's just one of the many pieces of received wisdom that Nobel Prizewinning
physicist Richard Feynman (191888) cheerfully ignores in his engagingly
eccentric book, a bestseller ever since its initial publication in 1985...
Surreal
Numbers by Donald Knuth
How two exstudents turned on to pure mathematics and found total happiness.
(adult with strong math skills)
Uncle
Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession by
Apostolos Doxiadis
The narrator, a young man living with his parents in Athens, is fascinated
with his reclusive Uncle Petros, considered a failure by his family. When his
nephew shows a zeal for math, Petros offers him a problem that the youth cannot
solve even after a summer's work: proof that any even number greater than two is
the sum of two primes. The narrator soon learns that this problem, called
Goldbach's Conjecture, is more than 200 years old and has remained famously
unsolved...
Unit
Origami: Multidimensional Transformations by Tomoko Fuse
Tomoko Fuse is recognized at home and abroad as one of the most original and
exciting of all upandcoming origami talents. In this book, she explains her
method for combining foldedpaper units in an insertion fashion that results in
an endless sequence of multidimensional variations giving new life and freshness
to oldfashioned origami classics...
For more Origami books, visti Hot
Topics Reading List: Origami...
Vedic Mathematics or Sixteen Simple Mathematical Formulae from the Vedas by
Sri Bharati Krisna Tirthaji and V.S. Agarwala
The ancient Indian method and its secret techniques are examined and shown
to be capable of solving various problems of mathematics...
What Do You Care What Other People Think? by Dr. Richard Feynman
Anecdotal, unpretentious, and lively, its mathematics!
Why
Do Buses Come in Threes? by Rob Eastaway and Jeremy Wyndham
successfully navigate statistics, codes, coincidences, and many other parts
of our lives, peeling away the surface to show what's really going on to
make things so weird and wonderful...
Zome
Geometry: Hands on Learning With Zome Models by George W. Hart, Henri
Picciotto
Geometry using our favorite Zome System pieces!
Young Adults

The Da Vinci Code
by Dan Brown
 A murder in the Louvre reveals a sinister plot to uncover a secret that has
been protected since the days of Christ. The victim manages to leave gruesome clues at the scene that only his granddaughter,
noted cryptographer Sophie Neveu, and Robert Langdon, a famed symbologist, can
untangle... (some sexual content, offends some by overlap of fact and fiction)

Angels
& Demons
by Dan Brown
 Worldrenowned Harvard symbologist Robert Langdon is summoned to a Swiss
research facility to analyze a cryptic symbol seared into the chest of a
murdered physicist. What he discovers is unimaginable: a deadly vendetta against
the Catholic Church. Desperate to save the Vatican from a powerful time bomb, Langdon
joins mysterious scientist Vittoria Vetra, to embark on a frantic hunt through
sealed crypts, dangerous catacombs, deserted cathedrals... Prequel to
The Da Vinci Code
(sexual and violent content, offends some by overlap of fact and fiction)

Deception
Point
by Dan Brown
 When a NASA satellite discovers an astonishingly rare object buried deep in
the Arctic ice, the floundering space agency proclaims a muchneeded victory. To
verify the authenticity, the White House calls upon the skills of intelligence
analyst Rachel Sexton. Accompanied by a team of experts, Rachel travels to the
Arctic and uncovers the unthinkable: evidence of scientific trickery...

Digital
Fortress
by Dan Brown
 When the NSA's invincible codebreaking machine encounters a mysterious code
it cannot break, the agency calls its head cryptographer, Susan Fletcher, a
brilliant, beautiful mathematician. What she uncovers sends shock waves through
the corridors of power. The NSA is being held hostagenot by guns or bombs 
but by a code so complex... (some violent content)

Freakonomics [Revised and Expanded]: A Rogue Economist
Explores the Hidden Side of Everything by Steven D. Levitt and Stephen J. Dubner
 There isn't really a grand theory of everything here, except perhaps the
suggestion that selfstyled experts have a vested interest in promoting
conventional wisdom even when it's wrong. Instead, Dubner and Levitt deconstruct
everything from the organizational structure of drugdealing gangs to
babynaming patterns. Includes a detailed look at Levitt's controversial linkage
between the legalization of abortion and a reduced crime rate two decades later.
Underlying all these research subjects is a belief that complex phenomena can be
understood if we find the right perspective...

In
Pursuit of the Unknown: 17 Equations That Changed the World
by Ian Stewart
 Celebrated mathematician Ian Stewart uses a handful of mathematical
equations to explore the vitally important connections between math and human
progress...

The World's 20 Greatest Unsolved Problems by John R. Vacca
 Current debates in astronomy and cosmology, physics and astrophysics,
biology and paleontology, neuroscience, geology, chemistry, and energy
For All Ages!

G Is for Googol: A Math Alphabet Book
by David Schwartz
 Entries include abacus, binary, cubit, diamond ("There are no diamonds in math. We put diamond in this book so you would know it doesn't belong here"), equilateral, exponent, Fibonacci, googol, yaxis, and zillion

Powers of Ten
by Philip & Phylis Morrison
 Starting with a view of a billion lightyears, the book moves inward, with each page being 1/10^{th} the scale of the previous one. In 25 steps, you're looking at a picnic by the shores of Lake Michigan, then plunging into a human hand, down through the cells inside it, the DNA inside the cells...

What is the Name of this Book?: The Riddle of Dracula & Other Logical Puzzles
by Raymond Smullyan
 A progression of logical conundrums, a subtle introduction to Godel's
Incompleteness Theorems, suitable for kids and adults! Check out Smullyan's
other books
The Riddle of Scheherazade: And Other Amazing Puzzles
Lady or the Tiger? And Other Logic Puzzles Including a
Mathematical Novel That Features Godel's Great Discovery
Programming and Robotics!

Building
Robots With Lego Mindstorms: The Ultimate Tool for Mindstorms Maniacs
and don't forget
Lego Mindstorms
kit!
 Sound like anyone you know? A companion book...

The
Code Book for Young People: How to Make It, Break It, Hack It, Crack It by
Simon Singh
 Calling upon accounts of political intrigue and tales of life and death,
author Simon Singh tells history's most fascinating story of deception and
cunning: the science of cryptographythe encoding and decoding of private
information (adapted for a younger audience)

Code:
The Hidden Language of Computer Hardware and Software by Charles Petzold

Carefully researched gem that will appeal to anyone who wants to understand
computer technology at its essence. Learn about number systems through Petzold's
patient (and frequently entertaining) prose, and discover the logical systems
that are used to process them. There's loads of historical information, too...

Hello
World! Computer Programming for Kids and Other Beginners by Warren and
Carter Sande
 Gives kidsor anyone who wants to learn programming from a
fresh perspectivea gentle but thorough introduction to the world of computer
programming, using the Python language, a free, open source language which is
ideal as a teaching tool...
 In
Code: A Mathematical Journey by Sarah Flannery
 At 16, Flannery made worldwide headlines as Ireland's 1999
Young Scientist of the Year for her discovery and presentation of the
CayleyPurser algorithm, an innovative encryption system roughly 22 times faster
than the worldwide standard RSA algorithm. She declines the "genius" label, and
a method for cracking her algorithm has since been discovered, but this only
makes the book more interesting and unpredictable. It's more about the journey's
adventure than the destination and less about Sarah's specialness than her
spirit

Robotics:
Discover the Science and Technology of the Future with 20 Projects (Build It
Yourself) by by Kathy Ceceri (grades 35, younger for gifted)
 By building simple projects (including a few electronic hacks) you'll come
away with an idea of what's going on behind all that complicated circuitry. But
you'll also see how technology opens the door for creativity and innovation  a
true melding of STEM (science, technology, engineering, and math) with Art to
create STEAM education!
 Teaching Kids Programming
 A great list of software (Win and MAC) and books for kids learning programming!
Purchases made through Amazon links benefit Hoagies' Gifted Education Page 
thanks!
Last updated
June 18, 2014
