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  TarskiBanach 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
InclusionExclusion 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
Pposition
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
Selfreference 
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 
SternBrocot 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
NonEuclidean 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
NonEuclidean 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? Selfreference 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
NonEuclidean 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
NonEuclidean Geometries
Fundamental Theorem of Algebra 
J.Fauvel and J.Gray
amazon.com
 The History of Mathematics. A Reader  Archimedes of Syracuse
NonEuclidean 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 Selfreference 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 TarskiBanach Decompositions 
B.R.Gelbaum and J.M.H.Olmsted
amazon.com
 Theorems and Counterexamples in Mathematics  Topological Curiosities Cantor Set and Function TarskiBanach Decompositions 
Murray GellMann
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
SternBrocot 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. CohnVossen
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
Selfreference
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 a^{n} 
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 BrainTeasers  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
NonEuclidean 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 Selfreference 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 PythagoreanLike 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 ngon 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 
GianCarlo 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 Selfreference 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 ManMade 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  Selfreference 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 