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.
Math Hysteria: Fun and Games with Mathematics 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)
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
More Annotated Alice: Alice's Adventures in Wonderland & Through the Looking Glass
Knotted Doughnuts and Other Mathematical Entertainments
Knotted Doughnuts and Other Mathematical Entertainments
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 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
On Quaternions and Octonions by John Horton Conway and Derek Smith (Geometry and quaternions and octonian algebra; advanced)
- Richard Guy
(Dd's one other favorite mathematician)
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)
Teach Your Child Math : Making Math Fun for the Both of You
Proofs that Really Count: The Art of Combinatorial Proof( combinatorial explorations)
- 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)
Mathematical Events of the Twentieth Century
- Keith Devlin
(Another favorite of our family for fun math reading; well liked by ds too)
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
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
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
- Steven Krantz
(Ever since dd was introduced to this wonderful mathematician, she has picking up his books on various math teaching and learning. She is particularly intrigued by the book The Survival of a Mathematician)
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)
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
- Marcus du Sautoy
(Dd and ds enjoyed meeting him years ago. Dd loved reading The Music of the Primes and highly recommends it to kids)
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)
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)
Trigonometric Delights
To Infinity and Beyond: A Cultural History of the Infinite
The Pythagorean Theorem: A 4,000-Year History
- Ivars Peterson
(Again, we have all his popular books. His Math Trek archives are so much fun to read and explore)
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)
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)
- John Derbyshire
(Great books on history and math)
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)
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)
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)
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)
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
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)
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)
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)
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)
An Introduction to Mathematical Cryptography The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
Diophantine Geometry: An Introduction (Graduate Texts in Mathematics)
Mathematical Amazements and Surprises: Fascinating Figures and Noteworthy Numbers
Modular Forms and Fermat's Last Theorem
- Alfred S. Posamentier
(Great books and many teaching strategy books as well, that are worth checking out)
The Pythagorean Theorem: The Story of Its Power and Beauty
Pi: A Biography of the World's Most Mysterious Number
Pi: A Biography of the World's Most Mysterious Number
Advanced Euclidean Geometry
Make Math Come Alive Series: Student Activities and Teacher Notes
Math Wonders to Inspire Teachers and Students
The Art of Problem Solving: A Resource for the Mathematics Teacher
101+ Great Ideas for Introducing Key Concepts in Mathematics: A Resource for Secondary School Teachers
Make Math Come Alive Series: Student Activities and Teacher Notes
Math Wonders to Inspire Teachers and Students
The Art of Problem Solving: A Resource for the Mathematics Teacher
101+ Great Ideas for Introducing Key Concepts in Mathematics: A Resource for Secondary School Teachers
- Titu Andreescu
(Plenty of problem solving books. Some are advanced)
103 Trigonometry Problems: From the Training of the USA IMO Team
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
- Douglas R. Hofstadter
(Great math, geometry books)
M.C. Escher: Visions of Symmetry - Notebooks, Periodic Drawings and Related Work
Mathematical Gems III
Mathematical Delights
Ingenuity in Mathematics
More Mathematical Morsels
Mathematical Diamonds
In Polya's Footsteps: Miscellaneous Problems and Essays
From Erdös to Kiev: Problems of Olympiad Caliber
- Ross Honsberger
(Great math problem solving and other books)
Mathematical Gems III
Mathematical Delights
Ingenuity in Mathematics
More Mathematical Morsels
Mathematical Diamonds
In Polya's Footsteps: Miscellaneous Problems and Essays
From Erdös to Kiev: Problems of Olympiad Caliber
- Other WONDERFUL Books....
The Heart of Mathematics: An Invitation to Effective Thinking by Edward B. Burger and Michael Starbird
Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas by Edward B. Burger and Michael Starbird
Number Theory Through Inquiry by David C. Marshall, Edward Odell, and Michael Starbird
Men of Mathematics
Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas by Edward B. Burger and Michael Starbird
Number Theory Through Inquiry by David C. Marshall, Edward Odell, and Michael Starbird
Men of Mathematics
Flatland (Illustrated Edition) A History of Pi
Benjamin Franklin's Numbers: An Unsung Mathematical Odyssey by Paul C. Pasles
Mathematics: From the Birth of Numbers
God Created the Integers: The Mathematical Breakthroughs that Changed History by Stephen Hawking
Euclid's Elements
Spaceland: A Novel of the Fourth Dimension by Rudy Rucker
How to Lie with Statistics by Darrell Huff
The Penguin Dictionary of Curious and Interesting Numbers by David Wells
The Penguin Dictionary of Curious and Interesting Geometry by David Wells
Benjamin Franklin's Numbers: An Unsung Mathematical Odyssey by Paul C. Pasles
Mathematics: From the Birth of Numbers
God Created the Integers: The Mathematical Breakthroughs that Changed History by Stephen Hawking
Euclid's Elements
Spaceland: A Novel of the Fourth Dimension by Rudy Rucker
How to Lie with Statistics by Darrell Huff
The Penguin Dictionary of Curious and Interesting Numbers by David Wells
The Penguin Dictionary of Curious and Interesting Geometry by David Wells
- Advanced 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
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
Principles of Mathematical Analysis by Walter Rudin
Regular Polytopes by H S M Coxeter
Theory of Functions by Konrad Knopp
Three-Dimensional Geometry and Topology by William Thurston
Visual Complex Analysis by Tristan Needham (his website)
Regular Polytopes by H S M Coxeter
Theory of Functions by Konrad Knopp
Three-Dimensional Geometry and Topology by William Thurston
Visual Complex Analysis by Tristan Needham (his website)

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.
ReplyDeleteMay 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 )
Hey I just love to read books.
ReplyDeleteAnd I have many collections also especially I love read books of warren farrell.