a Thales theorem
(circa 500 B.C.)

A Math Book Inventory

A List of Books that Elucidate and
Popularize Various Topics in Mathematics

(with links to more info on the books and their authors)

another Thales theorem

Home > RefInfo menu > Math-Science topics menu > This Math Inventory page

! Preliminary ! Under construction !
More book and author information may be added ---
more books may be added --- and categorizations may be changed.

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Introduction :

This page presents a list of math book titles --- along with author, year-of-publication, and number-of-pages info.

This is an inventory of books (mostly published in the 20th and 21st centuries) that are/were generally meant to popularize various topics in mathematics.

Many of these books take a chronological, historical approach to the presentation of the mathematics in the book. I like this approach to presenting mathematics because it gives insight into how the concepts and 'knowledge pieces' evolved.

This approach often indicates what motivated the thinking about these 'knowledge nuggets' --- and it lets us know how the knowledge was originally discovered/proved --- which may be a lot different from how the knowledge is presented in today's school books.

Since these books were written centuries after many of these results, the authors have the opportunity to put the original results in the context of later results that 'rounded out' the original 'knowledge crystals'.

A lot of the old, stilted (or even confusing) language of the original works have been replaced by clearer and less confusing presentations.

Ordering of the List

This list may be categorized into sub-groups concerning various math topics, such as

  • Historical Overviews
  • Fun with Math (including puzzles)
  • Toughest Problems
  • Applications to Physics, Biology, Computing, and other sciences
  • Special Numbers (pi, e, the golden ratio, gamma, ...)
  • Geometry, 2D (including triangles and other polygons)
  • Geometry, 3D (including spheres, regular solids, and computer graphics)
  • Trigonometry
  • Basic Algebra (solving linear and polynomial equations)
  • Real Analysis (Calculus, Sequences, Series)
  • Complex Analysis
  • Probability and Statistics
  • Number Theory
  • Differential Equations
  • Advanced Algebra (Group Theory, Matrices, Determinants, ...)
  • Topology
  • Optimization
  • Differential Geometry
  • Fractals

    NOTE: Initially, the list below may be categorized somewhat differently from the list of categories above. I plan to eventually provide a 'table of contents' on this page that provides links to the book-groups on this page.

After the first few categories, the categories reflect the offering of math topics as one progresses from high school through college and into graduate school (in mathematics).

Within each of the categories, the books are presented with the

  • author name(s)
  • book title
  • year-of-publication
  • publisher
  • number of pages (to give an idea of the size of the book)

The author name(s) and the book titles will usually be a link to more information on the author and book. Often, the author link will be to Wikipedia, and the book-title link will be to amazon.com (for reader reviews, in particular).

Alternatively, the author link may be to the author's web site, and the book-title link may be to a site like Google Books, which may have some excerpts from the book.

In the first releases of this page, many of the links to author information and most of the links to book information may not be valid URL's.

Source :

This list is based, mostly, on books that I began collecting after I retired (in 2005) --- and, in particular, as I started (circa 2012) on a retirement hobby of developing software in the Tcl-Tk programming language.

Many of the programming projects that I put on my 'to-do' list involved bringing many of the classical mathematical results (theorems) of Thales, Euclid, Archimedes, Newton, Euler, etc. 'to life' --- via animated or interactive presentation of the mathematical results (geometry, number theory, sequences, series, fractals, whatever) on a 'Tk canvas'.

These books were bought to help give me ideas of projects to undertake. Most of these books were bought at a local Barnes and Noble book store.

If the list on this page does not satisfy, I have a a page of math PDF's --- mostly public domain documents gathered from the archive.org site.

Also, I have a page of mathematician names, in chronological order (a 'timeline' of mathematicians) --- with links to more information on each mathematician.

If the list on this page and these other pages do not satisfy, you may wish to scan the lists of mathematicians at Wikipedia. In particular, here is a page for mathematicians by nationality, and here is a page for mathematicians by century.

More mathematicians can be found via the Galileo Project of Rice University. A convenient list of many of those mathematicians' name on one page is here.

This Should I become a mathematician? thread at physicsforums.com provides many interesting source books on mathematics and mathematicians.

A few more books with the intent of popularizing math (i.e. taking math to the masses) can be found at the Wikipedia pages on Popular_mathematics and Recreational_mathematics.

A web site with lots of articles dedicated to popularizing 'math nuggets' is at plus.maths.org.

Searching this page :

If you are looking for some particular information, you can use the text search function of your web browser. For example, if you are looking for information on 'history' --- or on specific topics such as 'geometry', 'calculus', or 'trigonometry', enter a keyword such as 'history', 'geometry', '3d', '2d', 'polygon', 'spline', 'nurb', 'transform', 'rotat', 'program', 'calc', or 'trig' in the text search entry field of your web browser.

The wonderment of it all :

Mathematics offers many occasions for wonderment at the logical and geometric beauties of that subject matter --- and wonderment at some of the nobler accomplishments that are possible from the minds of humans.

The development of mathematical knowledge over the centuries is an amazing human achievement. It is one of the 'purer' pursuits of man.

Mathematics, like art, provides galleries of wondrous creations (or discoveries) --- galleries based on subjects such as 2D geometry, 3D geometry, number theory, complex numbers, quaternions (complex numbers on steroids), theory of solving equations and the related group theory, permutations and combinations, probability theory, graph theory, set theory, combinatorics, game theory, topology, computing/automata theory, code breaking and secure encoding, provability, paradoxes, etc. etc.

Many of these books are essentially galleries of mathematics. Enjoy!

The main idea of Euclids' proof --- pictured on a coffee cup

The main idea of Euclid's proof --- verbally explained

The triangles that Euclid used to show that
the areas indicated above are indeed equal

(He actually used arguments based on the areas of
parallelograms containing these triangles --- i.e.
the triangles are half of the parallelograms. And
the areas of the parallelograms are the areas of
rectangles of the same height as the parallelogram.)

Historical/Chronological Overviews :

  • William Dunham, Journey Through Genius, 1990, Penguin Books, 300 pages
    A march through math history --- Hippocrates, Euclid, Archimedes, Heron, Cardano, Newton, Bernoulli's, Euler, Cantor

  • William Dunham, The Calculus Gallery: Masterpieces from Newton to Lebesgue, 2005, Princeton University Press, 236 pages
    14 chapters named after mathematicians and ordered chronologically: Newton, Leibniz, the Bernoullis, Euler, First Interlude (a logical crisis at the end of the 18th century), Cauchy, Riemann, Liouville, Weierstrass, Second Interlude (questions on discontinuous functions and integrability and differentiability), Cantor, Volterra, Baire, Lebesgue

  • Amir Aczel, A Strange Wilderness: The Lives of the Great Mathematicians, 2011, Sterling, 284 pages
    Lives in chronological sections: Greece, the East, Renaissance/Italy, Enlightenment/Calculus, French Upheaval, Infinity

  • Robert Solomon, The Little Book of Mathematical Principles, Theories, and Things, 2008, Metro Books, 224 pages
    About one to two pages on about 140 different topics, chronologically, including fractions, pi, Pythagorean theorem, regular polygons, Platonic solids, golden ratio, trisecting the angle, doubling the cube, squaring the circle, Zeno's paradoxes, conic sections, Euclid's Elements, Fundamental theorem of Arithmetic, the Inifinity of Prime numbers, quadrature of the parabola, the Sand Reckoner, trigonometry, negative numbers, the earth-centered universe, zero, cubic equations, quartic equations, the sun-centered universe, mathematical induction, falling bodies, logarithms, ..., the 7 millenium problems

  • Clifford Pickover, The Math Book - 250 milestones in the history of mathematics, 2009, Sterling, 527 pages
    Milestones from Pythagoras to the 57th dimension.

  • Alfred Posamentier and Ingmar Lehmann, Magnificent Mistakes in Mathematics, 2013, Prometheus Books, 296 pages
    The 5 chapters: 'Noteworthy mistakes by famous mathematicians', 'Mistakes in arithmetic', 'Algebraic mistakes', 'Geometric mistakes', 'Mistakes in probability and statistics'

  • Michael Willers, Algebra: the x and y of everyday math, 2009, Fall River Press, 176 pages
    Chapters: 'Algebra: An Introduction', 'Algebra Basics', 'Ancient Greece', 'Egypt, India, and Persia', 'The Italian Connection', 'Post-Renaissance Europe', 'Money and Privacy'

  • Julian Havil, The Irrationals: a story of the numbers you can't count on, 2012, Princeton University Press, 298 pages
    Basically a chronological presentation over 11 chapters.

  • Ian Stewart, In Pursuit of the Unknown: 17 equations that changed the world, 2012, Basic Books, 342 pages
    The 17 equations are presented under the titles 'Pythagoras's theorem', 'Logarithms', 'Calculus', 'Newton's Law of Gravity', 'The square root of minus one', 'Euler's formula for polyhedra', 'Normal distribution', 'Wave equation', 'Fourier transform', 'Navier-Stokes equation', 'Maxwell's equations', '2nd law of thermodynamics', 'Relativity', 'Schrodinger's equation', 'Information theory', 'Chaos theory', 'Black-Scholes equation'

  • Steven Hawking, God Created the Integers: The Mathematical Breakthroughs that Changed History, 2007, Running Press, 1358 pages
    An assembly of works from Euclid, Archimedes, Diophantus, Descartes, Newton, Euler, Laplace, Fourier, Gauss, Cauchy, Lobachevsky, Bolyai, Galois, Boole, Riemann, Weierstrass, Didekind, Cantor, Lebesgue, Godel, Turing

  • Tony Crilly, 50 Mathematical Ideas You Really Need to Know, 2007, Quercus Editions Ltd, 208 pages
    Some of the 50 Sections: 'Zero', 'Number systems', 'Fractions', 'Squares and square roots', 'pi', 'e', 'Infinity', 'Imaginary numbers', 'Primes', ... , 'Calculus', 'Constructions', 'Triangles', 'Curves', 'Topology', 'Dimension', 'Fractals', 'Chaos', ... , 'Probablity', ... , 'Distributions', 'The normal curve', ... , 'Matrices', 'Codes', ... , 'Relativity', 'Fermat's last theorem', 'The Riemann hypothesis'

  • Tony Crilly, The Big Questions - Mathematics, 2011, Metro Books, 208 pages
    Some of the questions: 'How big is infinity?', 'Can we create an unbreakable code?', 'Is there a formula for everything?', 'What shape is the universe?', 'Why are 3 dimensions not enough?', 'Is there anything left to solve?'

  • Morris Kline, Mathematics: The Loss of Certainty, 1980, Oxford University Press, 366 pages
    This book discusses how confidence in the solidity of mathematical proofs has been shaken by various logical paradoxes that have been encountered and by problems in achieving 'completeness' and 'consistency' of axiom systems. The books draws on discoveries by Bertrand Russell and Kurt Godel, as well as surprising discoveries by Weierstrass and Cantor and many other mathematicians.

Fun with Math : (including puzzles)

  • Norbert Hermann, The Beauty of Everyday Mathematics, 2012, Springer, 138 pages
    Solutions to 12 problems explained ... the soda can problem, the mirror problem, the leg problem, etc.

  • Marcus Weeks, How Many Elephants in a Whale ... New Ways to Measure the World, 2010, Metro Books, 128 pages
    Chaptes: Length and Distance, Area, Height and Depth, Weight Mass and Density, Volume and Storage Capacity, Population, Time, Speed, Temperature, Energy and Power, Sound

  • Richard Elwes, Mathematics without the Boring Bits, 2011, Metro Books, 223 pages
    35 sections with titles like ' How to solve every equation there has ever been', 'How to square a circle', 'How to excel at Sudoku', 'How to unleash chaos', 'How to make a million on the stock market', 'How to visit a hundred cities in one day', 'How to unknot your DNA', 'How to feel at home in 5 dimensions', 'How to bring down the internet', 'How to ask an unanswerable question', 'How to detect fraud', 'How to create an unbreakable code', 'How to win at roulette' (Elwes has a web site at richardelwes.co.uk.)

  • Ian Stewart, Professor Stewart's Hoard of Mathematical Treasures, 2009, Basic Books, 339 pages
    Contains more tha 120 'treasures', including 'Swallowing elephants', 'Hexaflexagons', 'The buttered cat paradox', 'A flexible polyhedron', 'The hairy ball theorem', 'The greedy algorithm', 'Alexander's horned sphere', 'Proof techniques', 'Sums that go on forever', 'Greek and Trojan asteroids', 'Monkeys agains evolution', 'When is a knot not knotted?', 'Beyond the 4th dimension', 'The largest number is 42', 'The future of mathematics' (humor)

  • Ian Stewart, Professor Stewart's Cabinet of Mathematical Curiosities, 2009, Basic Books, 310 pages
    More than 120 'curiosities', including 'Pop-up dodecahedron', 'What is pi?', 'Much ado about knotting', 'Ouroborean rings', 'A little-know Pythagorean curiosity', 'Space-filling curves', 'Pick's theorem', 'Langton's ant', 'The Goldbach conjecture', 'Euler's formula', 'All triangles are isoceles', 'Godel's theorems', 'Infinite wealth', 'The Kepler problem', 'The Milk Crate problem', 'Dragon curve'

  • Robert Banks, Slicing Pizza, Racing Turtles, and further adventures in applied mathematics, 1999, Princeton University Press, 286 pages
    26 chapters including 'Which major rivers flow uphill?', 'A brief look at pi, e, and some other famous numbers', 'Great number sequences: Prime, Fibonacci, and Hailstone', 'How to get anywhere in about 42 minutes'. 'How fast should you run in the rain?', 'How many people have ever lived?', 'Cartography: How to flatten spheres', 'Lengths, areas, and volumes of all kinds of shapes'

  • Robert Banks, Towing Icebergs, Falling Dominoes, and other adventures in applied mathematics, 1998, Princeton University Press, 328 pages
    24 chapters including 'Alligator eggs and the federal debt', 'Towing and melting enormous icebergs', 'How to calculate the economic energy of a nation', 'Gigantic numbers and extreme exponents', 'Jumping ropes and wind turbines', 'How to reduce the population with differential equations', 'Shot puts, basketballs, and water fountains', 'Water waves and falling dominoes', 'Something shocking about highway traffic', 'How fast can runners run?'

  • Ivan Moscovich, The Monty Hall Problem and other Puzzles, 2004, Dover, 128 pages
    Some contents: Inebriated Insect, Early Geometry, Non-Euclidean Geometry, Taxicab Geometry, Cubic Cryptogram, Cycloid and cycling, Flea circus, Island hopping, Golomb rulers, Ramsey theory, Eulerian paths, Traveling salesman problem, Polar coordinates, Spherical coordinates, Fluid dynamics, Ganymede circles, Magic arrows, To the max

  • Anany Levitin and Maria Levitin, Algorithmic Puzzles, 2011, Oxford University Press, 257 pages
    Some Chapters: 'General Strategies for Algorithm Design', 'Analysis Techniques', 'Easier Puzzles (1 to 50)', 'Puzzles of Medium Difficulty (51 to 110)', 'Harder Puzzles (111 to 150)', 'Hints', 'Solutions'

  • John J. Watkins, Across the Board: the mathematics of chessboard problems, 2004, Princeton University Press, 257 pages
    13 Chapters: 'Introduction', 'Knight's Tours', 'The Knight's Tour Problem', 'Magic Squares', 'The Torus and the Cylinder', 'The Klein Bottle and Other Variations', 'Domination', 'Queens Domination', 'Domination on other surfaces', 'Independence', 'Other surfaces, other variations', 'Eulerian squares', 'Polyominoes'

Tough Problems :

Applications to Physics, Biology, Computing, and other sciences :

Geometry - 2D and 3D :

  • Miranda Lundy, Daud Sutton, Anthony Ashton, and Jason Martineau, Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, and Cosmology, 2001-2011, Wooden Books, 409 pages
    Six books (chapters): Sacred Number, Sacred Geometry, Platonic and Archimedean Solids, Harmonograph, The Elements of Music, A Little Book of Coincidence

  • Alfred Posamentier and Ingmar Lehmann, The Secrets of Triangles, 2012, Prometheus Books, 387 pages
    Some Chapters: Noteworthy Points in a Triangle, Special Lines of a Triangle, Useful Triangle Theorems, Areas of and within Triangles, Inequalities in a Triangle, Triangles and Fractals

  • Alfred Posamentier, The Pythagorean Theorem: The Story of Its Power and Beauty, 2010, Prometheus Books, 320 pages
    The Seven Chapters: 'Pythagoras and his famous theorem', 'Proving the Pythagorean theorem without (many) words', 'Applications of the Pythagorean theorem', 'Pythagorean triples and their properties', 'The Pythagorean means', 'Turning the soul: Pythagoras and music', 'The Pythagorean theorem in fractal art'

  • Mike Askew and Sheila Ebbutt, Geometry: The Size and Shape of Everyday Math, 2010, Metro Books, 176 pages
    The math topics include profiles of mathematicians in the following not-quite-chronological order: Euclid, Leibniz, Descartes, Bernoulli, Feuerbach, Baudhayana, Pythagoras, Garfield, Hippasus, Kepler, Galileo, Descartes, Brahe, Copernicus, Archimedes, Plato, Fermat, Gauss, Lobachevsky, Hamilton, Penrose, Martin Gardner, Euler, Ctalan, Erdos, Pappus, Riemann, Pick, Mobius, Poincare, Perelman, Brouwer, Mandelbrot

  • Saul Stahl, Geometry from Euclid to Knots, 2003/2010, Dover, 458 pages
    An interesting presentation that starts with non-Euclidean geometry (spherical and hyperbolic) to put Euclidean geometry into perspective as one version among multiple possible approaches to 'metry'. Includes chapters and sections on topics such as triangles, circles, regular polygons, projective geometry, translations, rotations, reflections, symmetries, wallpaper designs, inversions, symmetry and polyhedra in space, graphs, surfaces, knots-and-links

  • Barnett Rich and Christopher Thomas, Schaum's Outlines: Geometry, 5th edition, 2013, McGraw-Hill, 326 pages
    Some Chapters: Lines, Angles, and Triangles ; Methods of Proof ; Congruent Triangles ; Parallel Lines, Distances, and Angle Sums ; Parallelograms, Trapezoids, Medians, and Midpoints ; Circles ; Similarity ; Trigonometry ; Areas ; Regular Polygons and the Circle ; Locus ; Analytic Geometry ; Inequalities and Indirect Reasoning ; ... ; Proofs of Important Theorems ; Extending Plane Geometry into Solid Geometry ; Transformations ; Non-Euclidean Geometry

  • Lewis Carroll, Euclid and His Modern Rivals, 1879/2009, Barnes and Noble, 275 pages
    A witty review of books meant to supplant Euclid's 'Elements', in the 1800's.

  • Dan Pedoe, Geometry: A Comprehensive Course, 1970, Dover, 449 pages
    Some Chapters: Vectors, Circles, Mappings of the Euclidean Plane, The Projective Plane and Projective Space, Projective Geometry of n Dimensions, Projective Generation of Conics and Quadrics, Prelude to Algebraic Geometry

  • Sergei Savchenko, 3D Graphics Programming: Games and Beyond (Theory and Practice of Computer Graphics in C), 2000, Sams Publishing, 353 pages
    The 9 chapters are titled 'Hardware Interface', 'Geometric Transformations', 'Rasterization', 'Clipping', 'Viewing', 'Modeling', 'Hidden Surface Removal', 'Lighting', 'Application Design'

  • Leendert Ammeraal, Programming Principles in Computer Graphics, 1986, John Wiley and Sons, 168 pages
    The 6 chapters of this book are titled 'Introduction', 'Two-dimensional algorithms', 'Geometric tools for three-dimensional algorithms', 'Perspective', 'Hidden-line elimination', 'Some applications'

  • David F. Rogers, Introduction to NURBS, with historical perspective, 2001, Academic Press/Morgan Kauffman Publishers, 322 pages
    Titles of the 7 chapters are 'Curve and surface representation', 'Bezier curves', 'B-spline curves', 'Rational B-spline curves', 'Bezier surfaces', 'B-spline surfaces', 'Rational B-spline surfaces' (NURB = Non-Uniform Rational B-spline)

  • David F. Rogers and J. Alan Adams, Mathematical Elements for Computer Graphics (2nd edition), 1976/1990, McGraw Hill, 611 pages
    The 6 chapters are titled 'Introduction to Computer Graphics [hardware]', 'Two-Dimensional Transformations', 'Three-Dimensional Transformations', 'Plane Curves', 'Space Curves', 'Surface Description and Generation'

  • Kelly Dempski, Focus on Curves and Surfaces, 2003, Permier Press, 255 pages
    The 11 chapters of this book are titled 'Polynomial curves', 'Trigonometric functions', 'Parametric equations and Bezier curves', 'B-splines', 'NURBS', 'Subdivision of curves', 'Basic surface concepts and Bezier surfaces', 'B-spline surfaces', 'NURBS surfaces', 'More NURBS srufaces', 'Higher order surfaces in DirectX'

  • David H. Eberly, 3D Game Engine Design: A practical approach to real-time computer graphics, 2001, Academic Press / Morgan Kaufmann Publishers, 560 pages
    The 13 chapters are titled 'Introduction', 'Geometrical methods', 'The graphics pipeline', 'Hierarchical scene representations', 'Picking', 'Collision detection', 'Curves', 'Surfaces', 'Animation of characters', 'Geometric level of detail', 'Terrain', 'Spatial sorting', 'Special effects', 'Appendix B: Numercial methods' (A 2006 edition came out later)

  • David H. Eberly, 3D Game Engine Architecture: Engineering real-time applications with Wild Magic, 2005, Elsevier, 736 pages
    The 8 chapters are titled 'Introduction', 'Core systems', 'Scene graphs and renderers', 'Advanced scene graph topics', 'Advanced rendering topics', 'Collision detection', 'Physics' (including numerical methods for solving differential equations), 'Applications'

  • Christopher Watkins and Larry Sharp, Programming in 3 Dimensions: 3D graphics, ray tracing, and animation, 1992, M and T Publishing, 466 pages
    The 16 chapters of this book are titled 'Introduction', 'Introduction to the Modules', 'The Mthematics Module', 'The Graphics Interface Module', 'Using the Modules', '3D Modeling Theory and Database Structure', 'Adding Objects to a Scene', 'Sorting and Displaying Objects', 'The 3D Modeling Program and Creating Animation', 'Creating Object Databases', 'Editing Scene Files', 'Ray Tracing Theory', 'Ray Tracing Program', 'Image and Animation Creation with the Ray Tracer', 'Animation Techniques', 'The Animation Program', 'Reducing Colors with the Color Histogram Processor'

  • Murray R. Spiegel, Theory and Problems of Vector Analysis (of Schaum's Outline Series), 1959, Schaum Publishing Co., 225 pages
    The 8 chapters are titled 'Vectors and scalars', 'The dot and cross product', 'Vector differentiation', 'Gadient, Divergence, and Curl', 'Vector integration', 'The divergence theorem, Stokes' theorem, and related integral theorems', 'Curvilinear coordinates', 'Tensor analysis' (A 2009 2nd edition is available.)

  • P. C. (Paul Charles) Matthews, Vector Calculus, 1998, Springer, 182 pages
    The 8 chapters are titled 'Vector algebra', 'Line, surface, and volume integrals', 'Gradient, Divergence, and Curl', 'Suffix notation and its applications', 'Integral theorems, 'Curvilinear coordinates', 'Cartesian tensors', 'Applications of vector calculus'

Calculus / Analysis :

  • Morris Kline, Calculus: An Intuitive and Physical Approach, 1977, Dover, 943 pages
    Chapters: Why Calculus?, The Derivative, The Anti-Derived Function or the Integral, The Geometrical Significance of the Derivative, The Differntiation and Integration of Posers of x, Some Theorems on Differentiation and Anti-Differentiation, The Chain Rule, Maxima and Minima, The Definit Integral, The Trigonometric Functions, and 15 more chapters

Trigonometry :

  • Eli Maor, Trigonometric Delights, 1998, Princeton University Press, 236 pages
    A chronological presentation of trigonometry: ancient Egypt, Johann Muller (Regiomontanus), Francois Viete, Abraham De Moivre, Maria Agnesi, Jules Lissajous, Edumnd Landau

Special Numbers : (pi, e , golden ratio, etc.)

  • Petr Beckmann, A History of Pi, 1971, Barnes and Noble, 194 pages
    A chronological approach: early Greeks, Euclid, Archimedes, Newton, Euler, Monte Carlo method, Transcendence of Pi, Modern Circle Squarers, Computer Age

  • Eli Maor, e: The Story of a Number, 1994, Princeton University Press, 227 pages
    A historical presentation --- from John Napier through Johann Bernoulli and Leonhard Euler

  • Alfred Posamentier and Ingmar Lehmann, The Glorious Golden Ratio, 2012, Prometheus Books, 363 pages
    Chapters: 'Defining and Constructing the Golden Ratio', 'The Golden Ratio in History', 'The Numerical Value of the Golden Ratio and its Properties', 'Golden Geometric Figures', 'Unexpected Appearances of the Golden Ratio', 'The Golden Ratio in the Plant Kingdom', 'The Golden Ratio and Fractals'

  • Julian Havil, Gamma: Exploring Euler's Constant, 2003, Princeton University Press, 266 pages
    Chapters: 'The Logarithmic Cradle', 'The Harmonic Series', 'Sub-Harmonic Series', 'Zeta Functions', 'Gamma's Birthplace', 'The Gamma Function', 'Euler's Wonderful Identity', 'A Promise Fulfilled', 'What is Gamma ... Exactly?', 'Gamma as a Decimal', 'Gamma as a Fraction', 'Where Is Gamma?', 'It's a Harmonic World', 'It's a Logarithmic World', 'Problems with Primes', 'The Riemann Initiative'

Probability and Statistics :

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