| Author(s) | Title | Topic(s) |
M. Aigner, G. Ziegler
amazon.com
| Proofs from THE BOOK |
Infinitude of Primes - A Topological Proof
3 Utilities Puzzle
|
G.L.Alexanderson and G.H.Mugler
amazon.com
| Lion Hunting & Other Mathematical Pursuits | Tarski-Banach Decompositions |
P.Alexandroff
amazon.com
| Elementary Concepts of Topology | Topological Curiosities
Addition of Chains |
K.Atkinson
amazon.com
| Elementary Numerical Analysis | Base Converter |
V.K.Balakrishnan
amazon.com
| Theory and Problems of Combinatorics |
Pigeonhole Principle
Sperner's Theorem
Inclusion-Exclusion Principle
Marriage Theorem
Sperner's Theorem
Latin Squares |
W.W.Rouse Ball and H.S.M.Coxeter
amazon.com
| Mathematical Recreations and Essays | No Questions Asked
Operations in Various Bases
Latin Squares
Frogs and Toads
A Matter of Appreciation
Gergonne's Magic Trick
Josephus Flavius Problem |
S.Barr
amazon.com
| Experiments In Topology | Topological Curiosities
Knots
Moebius strip
Paper strip
Graphs |
A.Beck, M.N. Bleicher, D.W. Crowe
amazon.com
| Excursions into Mathematics |
Farey Series
Modular Arithmetic
Addition and Multiplication Tables in Various Bases
The Tower of Hanoi
Graphs
The Game of Nim
|
P.Beckmann
amazon.com
| {A History of}  |
Where To Start?
Math Surprises: An Example
|
E.R.Berlekamp, J.H.Conway, R.K.Guy
amazon.com
| Winning Ways for Your Mathematical Plays | Lucky 7
Puzzles on graphs
Turning Turtles
Checker Jumping
Peg Solitaire
Reverse Solitaire
Frogs and Toads
From Lewis Carroll to Archimedes
The Game of Nim
Nimble
|
E.R.Berlekamp, J.H.Conway, R.K.Guy
amazon.com
| Winning Ways for Your Mathematical Plays, Volume 1 |
Northcott's game
Nim, the game of
Turning Turtles
P-position
Frogs and Toads
Scoring
The Game of Nim
Nimble
|
E.R.Berlekamp, T.Rodgers
amazon.com
| The Mathemagician and Pied Puzzler |
In Plain English
|
Bela Bollobas
amazon.com
| Littlewood's Miscellany |
Front page
Looking your best
Three Roads, Three Travelers
Self-reference |
J.L.Casti
amazon.com
| Five Golden Rules | Graphs
When Index Equals Content
Linear Programming |
G.Chang and T.W.Sederberg
amazon.com
| Over and Over Again |
Periodic Points of Quadratic Polynomials
Integer Iterations on a Circle
Van Obel Theorem and Barycentric coordinates
What Is Your Answer to That Question?
Mandelbrot and Julia sets
|
J.Cofman
amazon.com
| What To Solve? Problems and Suggestions for Young Mathematicians |
Stern-Brocot Tree in Disguise
Geometric Illustration of a Convergent Series
No two integers are equidistant from  2
Whole Part Function
|
J.Cofman
amazon.com
| Numbers and Shapes Revisited: More Problems for Young Mathematicians |
Infinite Latin Squares
Monge Point
Pick's Theorem
|
J.H.Conway
amazon.com
| On Numbers and Games |
Scoring
Northcott's game
A theorem with an obvious proof
Silver Dollar Game
Silver Dollar Game With No Silver Dollar
Nimble
|
J.H.Conway and R.K.Guy
amazon.com
| The Book of Numbers | What's a number?
Angle Trisection
Fundamental Theorem of Algebra
Diagonal Count
Infinitude of Primes
Ford's touching circles
Fermat's Little Theorem
Wilson's Theorem
Modulo Arithmetic
Farey Series
Frieze Patterns
Euler's Function and Congruence Theorem |
R. Courant and H. Robbins
amazon.com
| What is Mathematics? | Division by 81
Isoperimetric Theorem
What's a number?
Paper strip
Regular Polyhedra
Knots
Moebius strip
Angle Trisection
Conic Sections
Steiner's Theorem
Squaring a circle
Fagnano's problem
Strange Rational Numbers
Infinitude of Primes |
S.R.Covey
amazon.com
| The 7 Habits of Highly Effective People | Can I do anything? |
H.S.M.Coxeter
amazon.com
| Regular Polytopes | Regular polyhedra |
H.S.M.Coxeter
amazon.com
| Introduction to Geometry |
Regular polyhedra
Non-Euclidean Geometries
3 Glasses Problem in Barycentric Coordinates
Fermat's Point and Generalizations
The Altitudes
Fagnano's problem
Napoleon's Theorem |
H.S.M.Coxeter, S.L.Greitzer
amazon.com
| Geometry Revisited |
Pythagoras' Theorem
Fermat's Point and Generalizations
The Altitudes
Fagnano's problem
Menelaus Theorem
A Matter of Appreciation
Steiner Porism
Four Concurrent Lines in a Cyclic Quadrilateral
Two Triples Of Similar triangles
Butterfly Theorem
Napoleon's Theorem |
H.Davenport
amazon.com
| The Higher Arithmetic | Division by 81
What's a number?
Chinese Remainder Theorem, an example
Infinitude of Primes
Fermat's Little Theorem
Wilson's Theorem
Modulo Arithmetic
Euler's Function and Congruence Theorem
Extension of Euclid's Algorithm
Chinese Remainder Theorem |
P.J.Davis and R.Hersh
amazon.com
| The Mathematical Experience | Math class is tough
 2 is irrational
Halving a square
Covering A Chessboard With Domino
Non-Euclidean Geometries
Chinese Remainder Theorem |
S.Dehaene
amazon.com
| The Number Sense | You can add apples and oranges
Bounded Distance
What do you call a centipede? |
R.L.Devaney and Linda Keen
amazon.com
| Chaos and Fractals | Emergence of Chaos |
A.K.Dewdney
amazon.com
| 200% of Nothing | Correlation and Causation
Is Anything Wrong?
Math class is tough
Monty Hall Dilemma |
H.Dorrie
amazon.com
| 100 Great Problems Of Elementary Mathematics | Geometric construction with the compass alone
Angle Trisection
Squaring a circle
Viewing a Statue
Fermat's Point and Generalizations
Strange Rational Numbers
Fagnano's problem
Math Surprises: An Example
Diagonal Count |
W.Dunham
amazon.com
| The Mathematical Universe | Pythagorean Theorem
Base Converter
Isoperimetric Theorem
Angle Trisection
What's a number?
Self-reference
Do we need Mathematics?
Russell's Paradox
Fundamental Theorem of Algebra
From Lewis Carroll to Archimedes
Infinitude of Primes |
W.Dunham
amazon.com
| Journey through Genius | Pythagorean Theorem
Addition of Equations
Mathematics as a Language
Do we need Mathematics?
Squaring a circle
Non-Euclidean Geometries
Infinitude of Primes |
A.Engel
amazon.com
| Exploring Mathematics with your Computer |
Splitting piles
Extension of Euclid's Algorithm
What Is Your Answer to That Question?
Math Surprises: An Example
How to define a permutation? |
H.Eves
amazon.com
| Great Moments in Mathematics Before 1650 | Pythagorean Theorem
Do we need Mathematics?
Mathematics as a Language
Infinitude of Primes
Napier Bones |
H.Eves
amazon.com
| Great Moments in Mathematics After 1650 |
Multiplication of a Vector by a Matrix
Non-Euclidean Geometries
Fundamental Theorem of Algebra |
J.Fauvel and J.Gray
amazon.com
| The History of Mathematics. A Reader | Archimedes of Syracuse
Non-Euclidean Geometries
Intuition and Rigor |
Richard Feynman
amazon.com
| The Character of Physical Law | Web Poll |
S.Flansburg
amazon.com
| MathMagic | Fast Reckoning |
S.Flansburg
amazon.com
| MathMagic For Your Kids | Fast Reckoning |
D.Fomin,S.Genkin,I.Itenberg
amazon.com
| Mathematical Circles (Russian Experience) | Breaking Chocolate Bars
Pigeonhole Principle
Covering A Chessboard With Domino
Plus or Minus
Squares and Circles
Theory of Nim
Operations in Various Bases
A Problem on a Pentagonal Star
Sums and Products |
G.N.Frederickson
amazon.com
| Dissections: Plane & Fancy |
Pythagorean Theorem
Napoleon's Theorem by Plane Tesselation
A Matter of Appreciation
Technologies: Past and Future
Laws of Sines and Cosines
Cutting Squares |
K.O.Friedrichs
amazon.com
| From Pythagoras to Einstein | Pythagoras' Theorem |
D.Gale
amazon.com
| Tracking the Automatic Ant |
About a Line and a Triangle
Place Value
THOUGHT LESS MATHEMATICS
Morley's Theorem
From Lewis Carroll to Archimedes
Step into the Elliptic Realm
Trigonometric Form of Ceva's Theorem
Fibonacci Bamboozlement
A Problem on an Infinite Checkerboard
On Motivation and Understanding
|
M.Gardner
amazon.com
| The First Scientific American Book of Mathematical Puzzles and Diversions |
Technologies: Past and Future
|
M.Gardner
amazon.com
| The Second Scientific American Book of Mathematical Puzzles and Diversions |
3 Utilities Puzzle
|
M.Gardner
amazon.com
| Mathematical Circus | Geometric construction with the compass alone
Cryptarithms
Three Glass Puzzle
Abacus in Various Number Systems |
M.Gardner
amazon.com
| Mathematical Carnival | Rapid math tricks
Fast Reckoning |
M.Gardner
amazon.com
| Penrose Tiles to Trapdoor Ciphers | Fractal Curves and Dimension
What's a number?
Wythoff's Nim |
M.Gardner
amazon.com
| Time Travel and Other Mathematical Bewilderments | What's a number?
Diagonal Count
From Lewis Carroll to Archimedes
Simpson's Paradox
|
M.Gardner
amazon.com
| The Magic Numbers of Dr. Matrix | Cryptarithms |
M.Gardner
amazon.com
| Knotted Doughnuts |
Knots
From Lewis Carroll to Archimedes
Proofs Without Words
|
M.Gardner
amazon.com
| aha! Gotcha | Monty Hall Dilemma
Two bear cabs
Self-reference
Russell's Paradox |
M.Gardner
amazon.com
| aha! Insight |
Jam |
M.Gardner
amazon.com
| Mathematics, Magic and Mistery |
A Baffling Prediction
Technologies: Past and Future
A Matter of Appreciation
|
M.J.Gazalé
amazon.com
| Gnomon: From Pharaohs to Fractals |
From Lewis Carroll to Archimedes
|
B.R.Gelbaum and J.M.H.Olmsted
amazon.com
| Counterexamples in Analysis | Topological Curiosities
Cantor Set and Function
Tarski-Banach Decompositions |
B.R.Gelbaum and J.M.H.Olmsted
amazon.com
| Theorems and Counterexamples in Mathematics | Topological Curiosities
Cantor Set and Function
Tarski-Banach Decompositions |
Murray Gell-Mann
amazon.com
| The Quark and the Jaguar |
.999999... = 1?
Scientific Terminology
Benford's Law and Zipf's Law |
J.Gleick
amazon.com
| Chaos | Emergence of Chaos |
R.Graham, D.Knuth, O.Patashnik
amazon.com
| Concrete Mathematics | Josephus Flavius game
Pigeonhole Principle
Fermat's Little Theorem
Wilson's Theorem
Modulo Arithmetic
Euler's Function and Congruence Theorem
Chinese Remainder Theorem
gcd and FTA
Stern-Brocot Tree
Farey Series
Euclid's Algorithm
Fibonacci numbers
Leibniz Triangle
Extension of Euclid's Algorithm
|
R.K.Guy
amazon.com
| fair game | Turning Turtles
Scoring
Nimble
Silver Dollar Game
Silver Dollar Game With No Silver Dollar
Plainim |
R.K.Guy and R.E.Woodrow
amazon.com
| The Lighter Side Of Mathematics |
The Shoemaker's Knife
Longest segment
A Formula for Primes
Napoleon's Theorem
Invitation to MasterMind(tm)
Partitioning a Circle |
L.-s. Hahn
amazon.com
| Complex Numbers & Geometry |
The Angle Bisectors
The Altitudes and the Euler Line |
P.R.Halmos
amazon.com
| How to Write Mathematics | Front page |
G.H.Hardy
amazon.com
| A Mathematician's Apology | Looking your best |
G.H.Hardy and E.M. Wright
amazon.com
| An Introduction to the Theory of Numbers |
Farey Series, a Story
Pick's Theorem
The Game of Nim
|
M.Henle
amazon.com
| A Combinatorial Introduction to Topology | Regular polyhedra
Topological Preliminaries
Addition of Chains
When Index Equals Content |
D.Hilbert and S. Cohn-Vossen
amazon.com
| Geometry and the Imagination | Hypocycloids
Geometric construction with the compass alone
Paper strip
Regular polyhedra
Moebius strip
Cycloids
Conic Sections |
P.Hilton, D.Holton, J.Pederson
amazon.com
| Mathematical Reflections | Fermat's Little Theorem
Euler's Function and Congruence Theorem
Wilson's Theorem
Modulo Arithmetic
Paper Folding
Simple Quadrilaterals Tessellate the Plane
|
D.R.Hofstadter
amazon.com
| Metamagical Themas | Emergence of Chaos
Mandelbrot and Julia sets
Self-reference
Place Value
Russell's Paradox |
R.Honsberger
amazon.com
| Ingenuity in Mathematics | Isoperimetric Theorem
Pigeonhole Principle
Geometric construction with the compass alone
Beatty Sequences
Shapes of constant width
A Property of an |
R.Honsberger
amazon.com
| Mathematical Morsels | Pigeonhole Principle
X's and O's
A Constant Chord
A consequence of the Ptolemy's Theorem |
R.Honsberger
amazon.com
| More Mathematical Morsels |
Pigeonhole Principle
Weierstrass Product Inequality
Conic Sections
A simple integral
There are trisectable angles that are not constructible
Theorem of Léon Anne
Long Runs of Composite Numbers |
R.Honsberger
amazon.com
| Mathematical Gems II |
A Problem in Checker - Jumping
Covering A Chessboard With Domino
Nine Point Circle
Eight Point Circle
Wilson's Theorem |
R.Honsberger
amazon.com
| Mathematical Gems III |
An Old Japanese Theorem
A Formula To Express Any Number with 9 Digits Each Used Just Once
|
R.Honsberger
amazon.com
| Episodes in Nineteenth and Twentieth Century Euclidean Geometry |
In Praise of Geometry
Four Concurrent Lines in a Cyclic Quadrilateral
Miquel's Point
Orthopole
Concyclic Circumcenters: A Dynamic View
Tucker Circles |
J.A.H.Hunter
amazon.com
| Entertaining Mathematical Teasers | Cryptarithms |
J.A.H.Hunter
amazon.com
| Mathematical Brain-Teasers | Cryptarithms |
O.A.Ivanov
amazon.com
| Easy As  | The Means |
K.Janich
amazon.com
| Topology | Topological Preliminaries
Addition of Chains |
E.H.Julius
amazon.com
| Rapid Math Tricks And Tips | Rapid math tricks
Fast Reckoning |
E.H.Julius
amazon.com
| More Rapid Math Tricks And Tips | Rapid math tricks
Fast Reckoning |
M.Kac and S.M.Ulam
amazon.com
| Mathematics and Logic | Bertrand's Paradox
Pigeonhole Principle
Covering A Chessboard With Domino
When Index Equals Content
2 is irrational
Steiner's Theorem
Squaring a circle
Non-Euclidean Geometries
Infinitude of Primes |
A.R.Kanga
amazon.com
| Number Mosaics: Journeys in Search of Universals |
From Lewis Carroll to Archimedes
|
D.E.Knuth
amazon.com
| Surreal Numbers | Quotations page
What's a number? |
A.Kostovskii
amazon.com
| Geometrical Construction with Compasses Only | Geometric construction with the compass alone |
D.A.Kryjanovsky
amazon.com
| Isoperimetry | Isoperimetric Theorem |
K.Kuratowski and A.Mostowski
amazon.com
| Set Theory | What's a number?
Pigeonhole Principle |
J.Landin
amazon.com
| An Introduction to Algebraic Structures | Permutations
Transpositions
Groups of Permutations
Multiplication of Sets |
B.Mandelbrot
amazon.com
| The Fractal Geometry of Nature | Fractal Curves and Dimension
Emergence of Chaos
Benford's Law and Zipf's Law
Mandelbrot and Julia sets |
Eli Maor
amazon.com
| Trigonometric Delights | Sine, Cosine, and Ptolemy's Theorem
Laws of Sines and Cosines
|
E. MacNeal
amazon.com
| Mathsemantics. Making Numbers Talk Sense. | You can add apples and oranges |
R.B.Nelsen
amazon.com
| Proofs Without Words | Pythagorean Theorem
Triangular Numbers
Corollaries from Pythagoras' Theorem
Proofs Without Words
Laws of Sines and Cosines
Squaring a circle |
R.B.Nelsen
amazon.com
| Proofs Without Words II |
Pythagorean Theorem
Ceva's theorem
|
R.J.Nowakowski
amazon.com
| Games of No Chance | Scoring |
O.Ore (with R.J.Wilson)
amazon.com
| Graphs And Their Uses |
Puzzles on graphs
Theory of Nim
Marriage Theorem
3 Utilities Puzzle
|
O.Ore
amazon.com
| Number Theory and Its History | Addition
Base Converter
Averages of Divisors
Fundamental Theorem of Algebra
A Formula for Primes
Chinese Remainder Theorem, an example
Infinitude of Primes
Fermat's Little Theorem
Wilson's Theorem
Modulo Arithmetic
Euler's Function and Congruence Theorem
Chinese Remainder Theorem |
Theoni Pappas
amazon.com
| The Joy of Mathematics | Quotations page
Pythagorean Theorem
Multiplication of Equations |
J.A.Paulos
amazon.com
| Beyond Numeracy | Pythagorean Theorem
Base Converter
Isoperimetric Theorem
Correlation and Causation
Self-reference
A Mathematical Accent
Multiplication
Russell's Paradox
Fundamental Theorem of Algebra
Math Surprises: An Example
Linear Programming
Cafe au lait
A Formula for Primes
.999... = 1?
Infinitude of Primes |
J.A.Paulos
amazon.com
| A Mathematician Reads The Newspaper | Is Anything Wrong?
Deliberate Ambiguities |
D.Pedoe
amazon.com
| Geometry: A Comprehensive Course |
The Altitudes
Menelaus Theorem
A Matter of Appreciation
|
Ya.I.Perelman
amazon.com
| Fun with Maths and Physics | History of Sam Loyd's 15
Defenders of a Castle
Operations in Various Bases |
G.Polya
amazon.com
| How To Solve It | Inventor's Paradox |
G.Polya
amazon.com
| Induction and Analogy in Mathematics | Isoperimetric Theorem |
| G.Polya
amazon.com
| Mathematical Discovery | Generalization of the Pythagorean Theorem
Homogeneous Functions
The Shoemaker's Knife
Three circles
Leibniz and Pascal Triangles
Napoleon's Theorem |
| C. Pritchard
amazon.com
| The Changing Shape of Geometry |
Et tu ...
Bride's Chair
A Sampling from a Geometry Collection
A Neglected Pythagorean-Like Formula
Point common to two similar rectangles
A Problem in Three Squares
Touching Circles With Given Centers
Golomb's inductive proof of a tromino theorem
What Is Geometry?
Pythagorean Theorem
Construction of n-gon by midpoints of its edges
Ptolemy's Theorem
|
H.Rademacher and O.Toeplitz
amazon.com
| The Enjoyment of Mathematics | Shapes of constant width
Isoperimetric Theorem and Inequality
Infinitude of Primes
Fagnano's problem
Steiner's Theorem |
Gian-Carlo Rota
amazon.com
| Indiscrete Thoughts | Mathematics and Logic
Do we need Mathematics?
Is Anything Wrong?
A simple integral
Proofs Without Words
Cafe au lait |
Rudy Rucker
amazon.com
| Infinity and the Mind | What's a number?
Russell's Paradox
Infinite Latin Squares
Impossible Machine |
R.C.Schank
amazon.com
| The Connoisseur's Guide to the Mind | Is Anything Wrong?
Manifesto |
H.Schwerdtfeger
amazon.com
| Geometry of Complex Numbers | What's a number? |
W.Simon
amazon.com
| Mathematical Magic | A Matter Of Age
Calendar Magic |
R.Smullyan
amazon.com
| What is the Name of This Book? | Falsity implies anything |
R.Smullyan
amazon.com
| 5000 B.C. and Other Philosophical Fantasies | Falsity implies anything
The CTK Exchange
Self-reference
Identical Twins Puzzle
Impossible Page |
R.Smullyan
amazon.com
| Satan, Cantor, and Infinity | Addition of Strings
Impossible Page |
R.Smullyan
amazon.com
| The Riddle of Scheherazade and Other Amazing Puzzles, Ancient & Modern | Defenders of a Castle |
S.K.Stein
amazon.com
| Strength in Numbers | Tribute to Invariance
Is Anything Wrong?
Do We Need It?
Math Stereotypes
Math Lingo: a bad meme virus
Monty Hall Dilemma |
S.K.Stein
amazon.com
| Mathematics: The Man-Made Universe |
Latin Squares
Square Root of 2 Is Irrational
Graphs
Geometric Construction with the Compass Alone
Fundamental Theorem of Arithmetic
Modular Arithmetic
From Lewis Carroll to Archimedes
|
I.Stewart
amazon.com
| Concepts of Modern Mathematics |
Falsity Implies Anything
Four Problems Of Antiquity
Constructible Numbers
3 Utilities Puzzle
A Property of Cubic Equations |
I.Stewart
amazon.com
| Nature's Numbers | What's a number?
Emergence of Chaos
Quotations
From Lewis Carroll to Archimedes
Addition |
I.Stewart
amazon.com
| Another Fine Math You Got Me Into |
Proofs Without Words
Sierpinski Gasket and Tower of Hanoi
Dot Patterns and Sierpinski Gasket
|
G.Strang
amazon.com
| Introduction to Applied Mathematics | Emergence of Chaos
Linear Programming
Marriage Theorem |
R.J.Trudeau
amazon.com
| Introduction to Graph Theory | Graphs
3 Utilities Puzzle
|
N.Vasilyev and V.Gutenmacher
amazon.com
| Straight Lines and Curves | Analog Gadgets
Tangent to Two Circles
Cycloids
Hypocycloids |
R. von Oech
amazon.com
| A Whack on the Side of the Head | Is Anything Wrong?
Is There Always One Right Answer?
Can I Do Anything? |
Marilyn vos Savant
amazon.com
| The Power of Logical Thinking | Probability
Monty Hall Dilemma
Correlation and Causation |
D.Wells
amazon.com
| The Penguin Book of Curious and Interesting Puzzles | Self-reference
Hour Glass Problem
Linus Pauling's Argument
Pigeonhole Principle
Defenders of a Castle
Pythagorean Theorem
3 Utilities Puzzle
Viewing a Statue
Chinese Remainder Theorem
Operations in Various Bases |
D.Wells
amazon.com
| You Are a Mathematician |
Orthocenters
A Formula for Primes
Regular Polyhedra
√2 is irrational
Viewing a Statue
Napoleon's Theorem
Napoleon's Theorem, a generalization
Fermat's Point and Generalizations
More On Inscribed Triangles
Pascal Triangle
Two Triples Of Similar triangles
Three Circles and Common Tangents |
I.M.Yaglom and B.G.Boltyansky
amazon.com
| Convex shapes | Shapes of constant width
Addition of Shapes |
