Book:James R. Newman/The World of Mathematics

Subject Matter

 * History of mathematics

A small library of the literature of mathematics from A'h-mosé the Scribe to Albert Einstein, presented with commentaries and notes by

Contents



 * : General Survey
 * Philip E. B. Jourdain: Commentary
 * 1. The Nature of Mathematics by


 * : Historical and Biographical
 * Commentary
 * 1. The Great Mathematicians by


 * Commentary
 * 2. The Rhind Papyrus by


 * Commentary
 * 3. Archimedes by, ,


 * Commentary
 * 4. Greek Mathematics by


 * Robert Recorde: Commentary
 * 5. The Declaration of the Profit of Arithmeticke by


 * Kepler and Lodge: Commentary
 * 6. Johann Kepler by


 * Descartes and Analytical Geometry: Commentary
 * 7. The Geometry by


 * Commentary
 * 8. Isaac Newton by
 * 9. Newton, the Man by


 * Bishop Berkeley and Infinitesimals: Commentary
 * 10. The Analyst by


 * Gauss: Commentary
 * 11. Gauss, the Prince of Mathematicians by


 * Cayley and Sylvester: Commentary
 * 12. Invariant Twins, Cayley and Sylvester by


 * Commentary
 * 13. Srinivasa Ramanujan by


 * Bertrand Russell: Commentary
 * 14. My Mental Development by


 * Alfred North Whitehead: Commentary
 * 15. Mathematics as an Element in the History of Thought by


 * : Arithmetic, Numbers and the Art of Counting


 * Poppy Seeds and Large Numbers: Commentary
 * 1. The Sand Reckoner by


 * The Art of Counting: Commentary
 * 2. Counting by
 * 3. From Numbers to Numerals and From Numerals to Computation by and


 * Idiot Savants: Commentary
 * 4. Calculating Prodigies by


 * Gifted Birds: Commentary
 * 5. The Ability of Birds to "Count" by


 * The Mysteries of Arithmetic: Commentary
 * 6. The Queen of Mathematics by


 * $\left({P + P Q}\right)^{m / n}$: Commentary
 * 7. On the Binomial Theorem for Fractional and Negative Exponents by


 * The Number Concept: Commentary
 * 8. Irrational Numbers by
 * 9. Definition of Number by


 * : Mathematics of Space and Motion


 * William Kingdon Clifford: Commentary
 * 1. The Exactness of Mathematical Laws by
 * 2. The Postulates of the Science of Space by
 * 3. On the Space Theory of Matter by


 * A Famous Problem: Commentary
 * 4. The Seven Bridges of Königsberg by
 * 5. Topology by and


 * Dürer and the Mathematics of Painting: Commentary
 * 6. Dürer as a Mathematician by
 * 7. Projective Geometry by


 * Hermann von Helmholz: Commentary
 * 8. On the Origin and Significance of Geometrical Axioms by


 * Commentary
 * 9. Symmetry by


 * : Mathematics and the Physical World


 * Galileo Galilei: Commentary
 * 1. Mathematics of Motion by


 * The Bernoullis: Commentary
 * 2. Kinetic Theory of Gases by
 * A Great Prize, a Long-Suffering Inventor and the First Accurate Clock: Commentary
 * 3. The Longitude by


 * John Couch Adams: Commentary
 * 4. John Couch Adams and the Discovery of Neptune by


 * H. G. J. Moseley: Commentary
 * 5. Atomic Numbers by
 * The Small Furniture of Earth: Commentary
 * 6. The Röntgen Rays by
 * 7; Crystals and the Future of Physics by


 * Queen Dido, Soap Bubbles, and a Blind Mathematician: Commentary
 * 8. What Is Calculus of Variations and What Are Its Applications? by
 * 9. The Soap-bubble by
 * 10. Plateau's Problem by and


 * The Periodic Law and Mendeléeff: Commentary
 * 11. Periodic Law of the Chemical Elements by
 * 12. Mendeléeff by


 * Gregor Mendel: Commentary
 * 13. Mathematics of Heredity by


 * J. B. S. Haldane: Commentary
 * 14. On Being the Right Size by
 * 15. Mathematics of Natural Selection by


 * Erwin Schrödinger: Commentary
 * 16. Heredity and the Quantum Theory by


 * D'Arcy Wentworth Thompson: Commentary'
 * 17. On Magnitude by


 * Uncertainty: Commentary
 * 18. The Uncertainty Principle by
 * 19. Causality and Wave Mechanics by


 * Sir Arthur Stanley Eddington: Commentary
 * 20. The Constants of Nature by
 * 21. The New Law of Gravitation and the Old Law by


 * Commentary
 * 22. The Theory of Relativity by


 * : Mathematics and Social Science


 * The Founder of Psychophysics: Commentary
 * 1. Gustav Theodor Fechner by
 * Sir Francis Galton: Commentary
 * 2. Classification of Men According to Their Natural Gifts by


 * Thomas Robert Malthus: Commentary
 * 3. Mathematics of Population and Food by


 * Cournot, Jevons, and the Mathematics of Money: Commentary
 * 4. Mathematics of Value and Demand by
 * 5. Theory of Political Economy by


 * A Distinguished Quaker and War: Commentary
 * 6. Mathematics of War and Foreigh Politics by
 * 7. Statistics of Deadly Quarrels by


 * The Social Application of Mathematics: Commentary
 * 8. The Theory of Economic Behavior by
 * 9. Theory of Games by
 * 10. Sociology Learns the Language of Mathematics by


 * : The Laws of Chance


 * Pierre Simon de Laplace: Commentary
 * 1. Concerning Probability by
 * 2. The Red and the Black by
 * 3. The Probability of Induction by


 * Lord Keynes: Commentary
 * 4. The Application of Probability to Conduct by


 * ''An Absent-minded Genius and Laws of Chance: Commentary
 * 5. Chance by


 * ''Ernest Nagel and the Laws of Probability: Commentary
 * 6. The Meaning of Probability by


 * : Statistics and the Design of Experiments


 * An Ingenious Army Captain and a Generous and Many-sided Man: Commentary
 * 1. Foundations of Vital Statistics by
 * 2. First Life Insurance Tables by


 * Commentary
 * 3. The Law of Large Numbers by


 * Statistics and the Lady with a Fine Palate: Commentary
 * 4. Sampling and Standard Error by
 * 5. On the Average and Scatter by
 * 6. Mathematics of a Lady Tasting Tea by


 * The Scientific Aptitude of George Bernard Shaw: Commentary
 * 7. The Vice of Gambling and the Virtue of Insurance by


 * : The Supreme Act of Abstraction: Group Theory


 * Certain Important Abstractions: Commentary
 * 1. The Group Concept by
 * 2. The Theory of Groups by


 * : Mathematics of Infinity


 * 1. Mathematics and the Metaphysicians by


 * Hans Hahn: Commentary
 * 2. Infinity by


 * : Mathematical Truth and the Structure of Mathematics


 * The Foundations of Mathematics: Commentary
 * 1. On the Nature of Mathematical Truth by
 * 2. Geometry and Empirical Science by
 * 3. The Axiomatic Method by
 * 4. Goedel's Proof by  and
 * 5. A Mathematical Science by and
 * 6. Mathematics and the World by
 * 7. Mathematical Postulates and Human Understanding by


 * : The Mathematical Way of Thinking


 * An Eristic Controversy: Commentary
 * 1. The Study That Knows Nothing of Observation by


 * Charles Sanders Peirce: Commentary
 * 2. The Essence of Mathematics by


 * Ernst Mach: Commentary
 * 3. The Economy of Science by


 * Norman Robert Campbell: Commentary
 * 4. Measurement by
 * 5. Numerical Laws and the Use of Mathematics in Science by


 * Hermann Weyl: Commentary
 * 6. The Mathematical Way of Thinking by


 * : Mathematics and Logic


 * Symbolic Logic, George Boole and a Horrible Dream: Commentary
 * 1. Mathematical Analysis of Logic by
 * 2. History of Symbolic Logic by and
 * 3. Symbolic Notation, Haddocks' Eyes and the Dog-Walking Ordinance by
 * 4. Symbolic Logic by


 * : The Unreasonableness of Mathematics


 * The Importance of Being Absurd: Commentary
 * 1. Paradox Lost and Paradox Regained by and
 * 2. The Crisis in Intuition by


 * : How to Solve It


 * 1. How to Solve It by


 * : The Vocabulary of Mathematics


 * Double Infinite Rapport and Other Mathematical Jargon: Commentary
 * 1. New Names for Old by and


 * : Mathematics as an Art


 * John William Navin Sullivan: Commentary
 * 1. Mathematics as an Art by


 * : The Mathematician


 * G. H. Hardy: Commentary
 * 1. A Mathematician's Apology by


 * The Elusiveness of Invention: Commentary
 * 2. Mathematical Creation by


 * The Use of a Top Hat as a Water Bucket: Commentary
 * 3. The Mathematician by


 * : Mathematical Machines: Can a Machine Think?


 * Automatic Computers: Commentary
 * 1. The General And Logical Theory of Automata by
 * 2. Can a Machine Think? by
 * 3. A Chess-Playing Machine by


 * : Mathematics in Warfare


 * Frederick William Lanchester: Commentary
 * 1. Mathematics in Warfare by
 * 2. How to Hunt a Submarine by and


 * : A Mathematical Theory of Art
 * George David Birkhoff: Commentary
 * 1. Mathematics of Aesthetics by


 * : Mathematics of the Good


 * 1. A Mathematical Approach to Ethics by


 * : Mathematics in Literature


 * The Island of Laputa: Commentary
 * 1. Cycloid Pudding by


 * Aldous Huxley: Commentary
 * 2. Young Archimedes by


 * Mr. Fortune: Commentary
 * 3. Geometry in the South Pacific by


 * Statistics as a Literary Stimulus: Commentary
 * 4. Inflexible Logic by
 * 5. The Law by


 * : Mathematics and Music


 * Sir James Jeans: Commentary
 * 1. Mathematics of Music by


 * : Mathematics as a Culture Clue


 * Oswald Spengler: Commentary
 * 1. Meaning of Numbers by
 * 2. The Locus of Mathematical Reality: An Anthropological Footnote by


 * : Amusements, Puzzles, Fancies


 * Augustus De Morgan, an Estimable Man: Commentary
 * 1. Assorted Paradoxes by


 * A Romance of Many Dimensions: Commentary
 * 2. Flatland by


 * Lewis Carroll: Commentary
 * 3. What the Tortoise Said to Achilles and Other Riddles by


 * Continuity: Commentary
 * 4. The Lever of Mahomet by and


 * Games and Puzzles: Commentary
 * 5. Pastimes of Past and Present Times by and
 * 6. Arithmetical Restorations by
 * 7. The Seven Seven's by


 * Thomas John I'Anson Bromwich: Commentary
 * 8. Easy Mathematics and Lawn Tennis by


 * Stephen Butler Leacock: Commentary
 * 9. Mathematics for Golfers by
 * 10. Common Sense and the Universe by