Sunday, February 28, 2010

MATH BOOKS (BY AUTHOR NAMES)

This is something I wrote up a LONG time ago. I thought getting all the popular (in our home ie) math authors, their books, web pages under one link would help to follow up on the books we own already. This post is purely inspired by my family's addiction to math books. My ds provided all the math authors and book links, and my dd added advanced math books titles that otherwise I would not have known.

My dd has been such a pure joy in our family since a young age, showing us all the beauty of real mathematics, as she always sees it all around her. She introduces some of the most beautiful math and science topics and thoughts in an unusual way. And she connects various things in life beautifully to mathematics, from Shakespeare to nature. When I say she is passionate about math, I do not mean arithmetic or just solving equations, or finishing up math texts, but something even deeper, elegant and more attuned to 'true math'. She writes a lot of her thoughts about math, and someday I hope to share them here with her permission.

But most of the time our family decides on books by purely visiting various university libraries, general and technical book stores, public and private libraries, used book stores etc. We never fail to take an opportunity to check out book stores wherever we travel, irrespective of whether we are in US, Canada, or elsewhere. For a long time, I never shared this craziness with anyone, but it feels right for our family to have scouted book stores while we were in Italy and France, amidst covering all the popular landmarks. Some of our books came from such travel purchases. We spent quite a bit of time just looking at the book shelves, checking/sampling the books right there with the books on the floors(quite an annoyance to the other customers who would be trying to get to the shelves). And we have been collecting math and science books even before kids arrived, so it just seem to be an addictive habit.

I have recommended many of these books to the homeschool families over the years. Some of these books are for advanced math kids. I can never tell what is normal. Because my kids read some of these books at a fairly young age, and some of the advanced books got my dd totally engrossed. I have also included a list of books for general math oriented reading that can be enjoyed by just about anyone.

  • Martin Gardner
    (We have enjoyed many of his books and they are awesome. Quite a few are fun puzzle books. Many of his books can be used as co-op learning or as math circle meetings / explorations with young kids)

Math Hysteria: Fun and Games with Mathematics

My Best Mathematical and Logic Puzzles (Math & Logic Puzzles)

Perplexing Puzzles and Tantalizing Teasers (Math & Logic Puzzles)

Mathematics, Magic and Mystery (Cards, Coins, and Other Magic)

Entertaining Mathematical Puzzles

The Moscow Puzzles: 359 Mathematical Recreations

Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi: Martin Gardner's First Book of Mathematical Puzzles and Games

Martin Gardner's Table Magic New Ambidextrous Universe

Penrose Tiles to Trapdoor Ciphers

The Unexpected Hanging and Other Mathematical Diversion

Time Travel and Other Mathematical Bewilderments


The Colossal Book of Short Puzzles and Problems

Logic Machines and Diagrams

Magic Numbers of Dr Matrix

Fractal Music, Hypercards and More

Penrose Tiles to Trapdoor Ciphers

The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications

Aha!: Aha! Insight and Aha! Gotcha (lots of riddles and puzzles; totally fun)
The Snark Puzzle Book

Mathematical Puzzles of Sam Lloyd

Wheels, Life, and Other Mathematical Amusements

The Mathemagician and Pied Puzzler: A Collection in Tribute to Martin Gardner

Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)

Riddles of the Sphinx

Jinn from Hyperspace: And Other Scribblings--Both Serious and Whimsical

The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems

Origami, Eleusis, and the Soma Cube: Martin Gardner's Mathematical Diversions

The Annotated Alice: Alice's Adventures in Wonderland and Through the Looking Glass
Classic Brainteasers

Calculus Made Easy
  • Ian Stewart
    (Personal site here. He is one of the favorite authors in our home. We have found some of his general math and science books to be loaded with wonderful, rich content accessible to even younger kids who are ready to tackle such thinking and understanding. Some are quite advanced books. And a few of his books can be used for weekly co-op learning with elementary and middle school kids, as an informal math circle sessions or as puzzle/problem solving sessions. And ofcourse many of his books are just great fun read.)

Another Fine Math You've Got Me Into

Concepts of Modern Mathematics

Cows in the Maze: And Other Mathematical Explorations

Does God Play Dice? The New Mathematics of Chaos

The Big Book of Brain Games: 1,000 PlayThinks of Art, Mathematics & Science

Fearful Symmetry: Is God a Geometer?

From Here to Infinity

Flatterland: Like Flatland, Only More So

Flatterland

Fearful Symmetry: Is God a Geometer?

The Problems of Mathematics (OPUS)


Nature's Numbers: The Unreal Reality Of Mathematics

Math Hysteria: Fun and Games with Mathematics

What Is Mathematics? An Elementary Approach to Ideas and Methods

Letters to a Young Mathematician

Why Beauty Is Truth: A History of Symmetry

Professor Stewart's Cabinet of Mathematical Curiosities

The Story of Mathematics: From Babylonian Numerals to Chaos Theory

How to Cut a Cake: And Other Mathematical Conundrums

The Magical Maze: Seeing the World Through Mathematical Eyes

  • Clifford Pickover
    (Dd adores his books. She was first introduced to this author (he was dh's colleague before we moved to CA) at age 6 through the Wonders of Numbers book. She loved it and ever since then dd and ds have been collecting his books:))

A Passion for Mathematics: Numbers, Puzzles, Madness, Religion, and the Quest for Reality

The Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology

The Mathematics of Oz: Mental Gymnastics from Beyond the Edge

The Loom of God: Tapestries of Mathematics and Mysticism

Computers, Pattern, Chaos and Beauty

The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics

Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning

The Pattern Book: Fractals, Art, and Nature

Chaos in Wonderland: Visual Adventures in a Fractal World

Cryptorunes

Spiral Symmetry

The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions

Calculus and Pizza: A Cookbook for the Hungry Mind

The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics

Keys to Infinity

  • John H. Conway
    (I have recommended his Book of Numbers to many. Dd loves his books. More importantly loves spending time with this fabulous mathematician. For a long time since age 5, his book '
    The Book of Numbers' was her 'buddy'. She slept with it, did car rides with it, went to the library and book store with it, laughed to herself while reading it. She has read it many times since that age (and then her brother took over the tradition). Dd was so ecstatic (literally jumped up and down) when Prof Guy presented her, her other favorite book last year- Sensual Quadratic Form. She was so thrilled to have met him as well).

The Symmetries of Things by John Horton Conway (mathematical theory of symmetry and geometry)

The Book of Numbers by John H. Conway and Richard Guy (sophisticated, simple and elegant book. Some require math knowledge, and some don't. Highschool and above)

On Numbers and Games by John Horton Conway (game theory and strategies)

The Sensual Quadratic Form by John Horton Conway (based on the lectures given by Conway on quadratic forms. Advanced)

The Triangle Book by John H. Conway and Steve Sigur(a new one is supposed to be coming out)

Winning Ways for Your Mathematical Plays, Vol. 1 by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy

Winning Ways for Your Mathematical Plays, Vol. 2 by John H. Conway, Richard K. Guy, and Elwyn R. Berlekamp

Winning Ways for Your Mathematical Plays, Vol. 3 by Elwyn R. Berlekamp, John Horton Conway, and Richard K. Guy

Winning Ways for Your Mathematical Plays, Vol. 4 by Elwyn R. Berlekamp, John Horton Conway, and Richard K. Guy

On Quaternions and Octonions
by John Horton Conway and Derek Smith (Geometry and quaternions and octonian algebra; advanced)

Unsolved Problems in Number Theory by Richard K. Guy

The Inquisitive Problem Solver by Paul Vaderlind, Richard K. Guy, and Loren C. Larson

Unsolved Problems in Geometry by Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy

The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History by Richard K. Guy and Robert E. Woodrow

  • Art Benjamin
    (This is one other mathematician dd enjoys meeting. She has enjoyed his books and videos from Teaching Company. He is the Mathemagician, and you catch his videos on TED)
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks (mental calculation and tricks)

Teach Your Child Math : Making Math Fun for the Both of You


Proofs that Really Count: The Art of Combinatorial Proof( combinatorial explorations)

Biscuits of Number Theory (understanding number theory; advanced)

  • Vladimir Arnold
    (Dd had a great time working on problems with this fabulous mathematician years ago and has been a fan ever since. He is a great mathematician and speaker)
Arnold's Problems

Mathematical Events of the Twentieth Century


  • Keith Devlin
    (Another favorite of our family for fun math reading; well liked by ds too)
The Unfinished Game: Pascal, Fermat, and the Seventeenth-Century Letter that Made the World Modern

The Language of Mathematics: Making the Invisible Visible

Mathematics: The New Golden Age

The Math Gene: How Mathematical Thinking Evolved And Why Numbers Are Like Gossip

Mathematics: The Science of Patterns: The Search for Order in Life, Mind and the Universe

The Math Gene: How Mathematical Thinking Evolved And Why Numbers Are Like Gossip


All the Math that's Fit to Print: Articles from The Guardian

The Numbers Behind NUMB3RS: Solving Crime with Mathematics

Goodbye, Descartes: The End of Logic and the Search for a New Cosmology of the Mind

The Maths Gene: Why Everyone Has it, But Most People Don't Use it

The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles Of Our Time

Texts

The Joy of Sets: Fundamentals of Contemporary Set Theory

Sets, Functions and Logic: A Foundation Course in Mathematics

An Electronic Companion to Calculus

The Axiom of Constructibility: A Guide for the Mathematician

Fundamentals of Contemporary Set Theory

Techniques of Problem Solving

Discrete Mathematics DeMYSTiFied

Differential Equations Demystified


How to Teach Mathematics

A Mathematician's Survival Guide: Graduate School and Early Career Development

A Primer of Mathematical Writing: Being a Disquisition on Having Your Ideas Recorded, Typeset, Published, Read & Appreciated

Calculus Demystified : A Self Teaching Guide

Mathematical Publishing: A Guidebook

  • Joseph Mazur
    (We have all of his books; quite popular with my dd and ds)
Euclid in the Rainforest: Discovering Universal Truth in Logic and Math

How to Study Calculus

Number: The Language of Science, The Masterpiece Science Edition

Zeno's Paradox: Unraveling the Ancient Mystery Behind the Science of Space and Time

Symmetry: A Journey into the Patterns of Nature (high school and above, Symmetry)

The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics (high school; all about Primes)

Finding Moonshine: A Mathematician's Journey Through Symmetry (high school and above; Symmetry)

The Music of the Primes: Why an Unsolved Problem in Mathematics Matters by Marcus du Sautoy

Check out his BBC series on Story of Maths

  • Theoni Pappas
    (Her biography here. Some are advanced material and, we have all her books)
The Joy of Mathematics: Discovering Mathematics All Around You

Fractals, Googols, and Other Mathematical Tales

The Adventures of Penrose the Mathematical Cat

Further Adventures of Penrose the Mathematical Cat

Math For Kids and Other People Too

Mathematical Scandals

More Joy of Mathematics: Exploring Mathematics All Around You

Mathematical Footprints: Discovering Mathematics Everywhere

Math Talk: Mathematical Ideas in Poems for Two Voices

The Music of Reason: Experience the Beauty of Mathematics Through Quotations

The Magic of Mathematics: Discovering the Spell of Mathematics

Mathematics Appreciation

What Do You See?: An Optical Illusion Study/With Slides

Math Stuff

Math-A-Day: A Book of Days for Your Mathematical Year

  • Eli Maor
    (Great books; loved by both kids)
"e": The Story of a Number (It is all about 'e' and history of mathematics. It also deals with logarithms, limits, calculus, differential equations, and even the theory of functions of complex variables)

Trigonometric Delights

To Infinity and Beyond: A Cultural History of the Infinite

The Pythagorean Theorem: A 4,000-Year History

The Jungles of Randomness: A Mathematical Safari (high school; probability)

The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics

Mathematical Treks: From Surreal Numbers to Magic Circles (high school; number theory, geometry, combinatorics, games, probability etc)

Islands of Truth: A Mathematical Mystery Cruise (high school;chaos, knot physics)

Math Trek 2: A Mathematical Space Odyssey (ages 9-12: Fourth Dimension)

Math Trek: Adventures in the Math Zone (ages: 9-12; knots and unknots, maps, Mobius roller coasters, secret binary codes, billiards, chaos theory, and more)

Fragments of Infinity: A Kaleidoscope of Math and Art (middle/high school and above-math, art, imagination)

  • Charles Seife
    (His books were dd's favorite at age 7. Great general math books)
Zero: The Biography of a Dangerous Idea (origins and of the number zero from Aristotle to superstring theory; highly recommended by both kids)

Sun in a Bottle: The Strange History of Fusion and the Science of Wishful Thinking (trace the story of fusion from its beginnings into the 21st century)

Alpha and Omega: The Search for the Beginning and End of the Universe(cosmology and history)

Decoding the Universe: How the New Science of Information Is Explaining Everything in the Cosmos, from Our Brains to Black Holes (deals cryptology, physics, biology, and mathematics and understanding of the laws of the universe)

Unknown Quantity: A Real and Imaginary History of Algebra (history of Algebra. Highly recommended by ds)

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (about Riemann Hypothesis, a famous unsolved problem in mathematics)

  • John Allen Paulos
    (Wonderful books, fun philosophy, logic and mathematical thinking; high school and above)
Innumeracy: Mathematical Illiteracy and Its Consequences

A Mathematician Reads the Newspaper

A Mathematician Plays The Stock Market

I Think, Therefore I Laugh

Beyond Numeracy

Once Upon A Number: The Hidden Mathematical Logic Of Stories

Mathematics and Humor: A Study of the Logic of Humor

  • William W. Dunham
    (Check out more about him here. His books are excellent for History of Mathematics. My ds attends each one of his talks in all the math conferences his sister attends. And ds adores his books. He highly recommends them)
Journey through Genius: The Great Theorems of Mathematics

The Calculus Gallery: Masterpieces from Newton to Lebesgue

The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities

Euler: The Master of Us All

The Genius of Euler: Reflections on his Life and Work

  • Robert Kanigal
    (His book on Ramanujan is accessible to all ages. His other books are great as well)
The Man Who Knew Infinity: A Life of the Genius Ramanujan

Apprentice to Genius: The Making of a Scientific Dynasty

Vintage Reading : From Plato to Bradbury : A Personal Tour of Some of the World's Best Books(80 great great books he talks about here)

  • Yakov Perelman
    (I have mentioned about his books here before. It is big hit in our family. He has Math AND Physics books, very accessible ones for young kids)
Physics for Entertainment (The book is available FREE here)

Mathematics Can be Fun

Physics For Entertaiment (2010 edition)

Mathematics Can Be Fun, Includes Part 1: Figures for Fun, and Part 2: Algebra Can Be Fun

Figures for Fun

His other books that are hard to find. Keep an eye for them in old book stores, garage sales etc...
Geometry for Entertainment
Arithmetic for entertainment
Mechanics for entertainment
Lively Mathematics
Physics Everywhere
Tricks and Amusements

  • Paul Nahin
    (He has written excellent books on math, mathematical physics, and science fiction)
Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills

An Imaginary Tale: The Story of i [the square root of minus one]

When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible

Chases and Escapes: The Mathematics of Pursuit and Evasion

Duelling Idiots and Other Probability Puzzler

Digital Dice: Computational Solutions to Practical Probability Problems

Chases and Escapes: The Mathematics of Pursuit and Evasion

His other books
Mrs. Perkins's Electric Quilt: And Other Intriguing Stories of Mathematical Physics

Time Machines: Time Travel in Physics, Metaphysics, and Science Fiction

  • Donald Knuth
    (Dd had pleasure of meeting him multiple times in different conferences and also had the pleasure of taking his classes. Advanced)
Surreal Numbers by Donald E. Knuth

Art of Computer Programming Vol 1 by Knuth (his website)

Art of Computer Programming Vol 2 by Knuth

Art of Computer Programming Vol 3 by Knuth

Other books by Knuth here

  • John Stillwell
    (Great books used as texts in many UG courses. Advanced math)
Numbers and Geometry

Elements of Number Theory

Geometry of Surfaces

Yearning for the Impossible: The Surprising Truths of Mathematics

Classical Topology and Combinatorial Group Theory

The Four Pillars of Geometry

  • Joseph Silverman
    (Dd had the pleasure of meeting him in Brown. She loves his books, especially his Number Theory book. He has many popular graduate as well as undergraduate texts as well)
Friendly Introduction to Number Theory


Diophantine Geometry: An Introduction (Graduate Texts in Mathematics)

Mathematical Amazements and Surprises: Fascinating Figures and Noteworthy Numbers

  • G. H. Hardy
    (Dd's close interest in Number Theory and Ramanujan's works were partly fueled by his books)
A Mathematician's Apology

A Course of Pure Mathematics Centenary edition

A Course Of Pure Mathematics - Illustrated

Divergent Series

A Course of Pure Mathematics: -1921

Collected Papers of Srinivasa Ramanujan

An Introduction to the Theory of Numbers

Godel, Escher, Bach: An Eternal Golden Braid


  • Other WONDERFUL Books....
AMS Books Online by author or titles

Dissections: Plane & Fancy by Greg Frederickson (his website)


Elementary Theory of Numbers by William Leveque

A Gamut of Games by Sid Sackson

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

Introductory Graph Theory by Gary Chartrand

Introduction to Graph Theory by Richard J. Trudeau

Manhattan Research (the collected works of Raymond Scott)

Mathematics as Problem Solving by Alexander Soifer (his website)

Mathematical Recreations : A Collection in Honor of Martin Gardner by David Klarner

New Rules for Classic Games by Wayne Schmittberger

The Pursuit of Perfect Packing by Aste and Weaire

The Puzzling World of Polyhedral Dissections by Rausch and Coffin (online version)

Supermazes by Robert Abbott (his website)

What's Happening in the Mathematical Sciences by Barry Cipra

Analysis of Numerical Methods by Eugene Isaacson

Applied Analysis by Cornellius Lanczos

Basic Complex Analysis by Marsden and Hoffman

Calculus and Analytic Geometry by Thomas and Finney

A Combinatorial Introduction to Topology by Michael Henle

The Four Color Problem by Saaty and Kainen

Games of No Chance (online version)

Generating functionology by Herbert Wilf (online version)

Geometry and Symmetry by Paul Yale

Group Theory by W R Scott

An Introduction to Knot Theory by W B Raymond Lickorish


Matrices and Linear Transforms by Charles Cullen

Number Theory and its History by Oystein Ore

Numerical Recipes in C by Press, Teukolsky, Vetterling, and Flannery (online version)

Proofs from the Book by Martin Aigner


2 comments:

  1. Oh, thank you, thank you, thank you for this wonderful list of resources! It was fun to find some of my old friends among them, as well as to be introduced to many new ones.

    May I add some of my own favorites to the list? They are, in order of age -- appropriateness:

    "The Number Devil: A Mathematical Adventure," by Hans Magnus Enzensberger

    Unfortunately, the most basic one is out of print. It's "The Realm of Numbers," by Isaac Asimov (out of print but worth finding).

    "Playing With Infinity", by Rozsa Peter

    "Mathematics for the Million/How to Master the Magic of Numbers," by Lancelot Hogben

    I can't wait to get started on some of your great suggestions.

    All the best,

    Brian (a.k.a. Professor Homunculus) at The Math Mojo Chronicles.com )

    ReplyDelete
  2. Hey I just love to read books.
    And I have many collections also especially I love read books of warren farrell.

    ReplyDelete

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