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Mathematics and the Imagination (Dover Books…
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Mathematics and the Imagination (Dover Books on Mathematics) (1940 original; edició 2001)

de Edward Kasner (Autor), James Newman (Autor)

MembresRessenyesPopularitatValoració mitjanaMencions
269175,218 (3.73)4
Anyone who gambles, plays cards, loves puzzles, or simply seeks an intellectual challenge will love this amusing and thought-provoking book. With wit and clarity, the authors deftly progress from simple arithmetic to calculus and non-Euclidean geometry. "Charming and exciting." -- Saturday Review of Literature. Includes 169 figures.… (més)
Títol:Mathematics and the Imagination (Dover Books on Mathematics)
Autors:Edward Kasner (Autor)
Altres autors:James Newman (Autor)
Informació:Dover Publications (2001), 400 pages
Col·leccions:La teva biblioteca
Etiquetes:No n'hi ha cap

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Mathematics and the Imagination de Edward Kasner (1940)

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Indeholder "Introduction", "1. New Names for Old", " Easy words for hard ideas", " Transcendental", " Non-simple curve", " Simple curve", " Simple group", " Bolsheviks and giraffes", " Turbines", " Turns and slides", " Circles and cycles", " Patho-circles", " Clocks", " Hexagons and parhexagons", " Radicals, hyperradicals, and ultraradicals (nonpolitical)", " New numbers for the nursery", " Googol and googolplex", " Miracle of the rising book", " The mathescope", " Notes", "2. Beyond the Googol", " Counting - the language of number", " Counting, matching, and 'Going to Jerusalem'", " Cardinal numbers", " Cosmic chess and googols", " The sand reckoner", " Mathematical induction", " The infinite and its progeny", " Zeno", " Puzzles and quarrels", " Bolzano", " Galileo's puzzle", " Cantor", " Measuring the measuring rod", " The whole is no greater than some of its parts", " The first transfinite - Aleph zero", " Arithmetic for morons", " Common sense hits a snag", " Cardinality of the continuum", " Extravagances of a mathematical madman", " The tortoise unmasked", " Motionless motion", " Private life of a number", " The house that Cantor built", " Notes", "3. PIE (π, i, e) - Transcendental and Imaginary", " Chinamen and chandeliers", " Twilight of common sense", " π, i, e", " Squaring the circle and its cousins", " Mathematical impossibility", " Silk purse, sow's ear, ruler and compass", " Rigor mortis", " Algebraic equations and transcendental numbers", " Galois and Greek epidemics", " Cube duplicators and angle trisectors", " Biography of π", " Infancy: Archimedes, the Bible, the Egyptians", " Adolescence: Vieta, Van Ceulen", " Maturity: Wallis, Newton, Leibniz", " Old Age: Dase, Richter, Shanks", " Victim of schizophrenia", " Boon to insurance companies", " (e)", " Logarithms or tricks of the trade", " Mr. Briggs is surprised", " Mr. Napier explains", " Biography of e; or e, the banker's boon", " Pituitary gland of mathematics: the exponential function", " (i)", " Humpty Dumpty, Doctor of Semantics", " Imaginary numbers", " The sqrt(-1), or 'Where am I?'", " Biography of i, the self-made amphibian", " Omar Khayyám, Cardan, Bombelli, and Gauss", " i and Soviet Russia", " Program music of mathematics", " Breakfast in bed; or, How to become a great mathematician", " Analytic geometry", " Geometric representation of i", " Complex plane", " A famous formula, faith, and humility", " Notes", "4. Assorted Geometries, Plane and Fancy", " The talking fish and St. Augustine", " A new alphabet", " High priests and mumbo jumbo", " Pure and applied mathematics", " Euclid and Texas", " Mathematical tailors", " Geometry - a game", " Ghosts, table-tipping, and the land of the dead", " Fourth-dimension flounders", " Henry More to the rescue", " Fourth-dimension - a new gusher", " A cure for arthritis", " Syntax suffers a setback", " The physicist's delight", " Dimensions and manifolds", " Distance formulae", " Scaling blank walls", " Four-dimensional geometry defined", " Moles and tesseracts", " A four-dimensional fancy", " Romance of flatland", " Three-dimensional cats and two-dimensional kings", " Gallant Gulliver and the gloves", " Beguiling voices and strange footprints", " Non-Euclidean geometry", " Space credos and millinery", " Private and public space", " Rewriting our textbooks", " The prince and the Boethians", " The flexible fifth", " The mathematicians unite - nothing to lose but their chains", " Lobachevsky breaks a link", " Riemann breaks another", " Checks and double checks in mathematics", " The tractrix and the pseudosphere", " Great circles and bears", " The skeptic persists - and is stepped on", " Geodesics", " Seventh Day Adventists", " Curvature", " Lobachevskian Eiffel Towers and Riemannian Holland Tunnels", " Notes", "5. Pastimes of Past and Present Times", " Puzzle acorns and mathematical oaks", " Charlemagne and crossword puzzles", " Mark Twain and the 'farmer's daughter'", " The syntax of puzzles", " Carolyn Flaubert and the cabin boy", " A wolf, a goat, and a head of cabbage", " Brides and cuckolds", " I'll be switched", " Poisson, the misfit", " High finance; or, The international beer wolf", " Lions and poker players", " The decimal system", " Casting out nines", " Buddha, God, and the binary scale", " The march of culture; or, Russia, the home of the binary system", " The Chinese rings", " The tower of Hanoi", " The ritual of Benares: or, Charley horse in the Orient", " Nim, Sissa Ben Dahir, and Josephus", " Bismarck plays the boss", " The 15 puzzle plague", " The spider and the fly", " A nightmare of relatives", " The magic square", " Take a number from 1 to 10", " Fermat's last theorem", " Mathematics' lost legacy", " Notes", "6. Paradox Lost and Paradox Regained", " Great paradoxes and distant relatives", " Three species of paradox", " Paradoxes strange but true", " Wheels that move faster on top than on bottom", " The cycloid family", " The curse of transportation; or, How locomotives can't make up their minds", " Reformation of geometry", " Ensuing troubles", " Point sets - the Arabian Nights of mathematics", " Hausdorff spins a tall tale", " Messrs. Banach and Tarski rub the magic lamp", " Baron Munchhausen is stymied by a pea", " Mathematical fallacies", " Trouble from a bubble; or, Dividing by zero", " The infinite - troublemaker par excellence", " Geometrical fallacies", " Logical paradoxes - the folk tales of mathematics", " Deluding dialectics of the poacher and the prince; of the introspective barber; of the number 111777; of this book and Confucius; of the Hon. Bertrand Russell", " Scylla and Charybdis; or, What shall poor mathematics do?", " Notes", "7. Chance and Chanceability", " The clue of the billiard cue", " A little chalk, a lot of talk", " Watson gets his leg pulled by probable inference", " Finds it all absurdly simple", " Passionate oysters, waltzing ducks, and the syllogism", " The twilight of probability", " Interesting behavior of a modest coin", " Biological necessity and a pair of dice", " What is probability?", " A poll of views: a meteorologist, a bootlegger, a bridge player", " The subjective view - based on insufficient reason, contains an element of truth", " The jackasses on Mars", " The statistical view", " What happens will probably happen", " Experimental eurythmics; or, Pitching pennies", " Relative frequencies", " The adventure of the dancing men", " Scheherezade and John Wilkes Booth - a challenge to statistics", " The red and the black", " Charles Peirce predicts the weather", " How far is 'away'?", " Herodotus explains", " The calculus of chance", " The benefits of gambling", " De Mere and Pascal", " Mr. Jevons omits an acknowledgment", " The study of craps - the very guide of life", " Dice, pennies, permutations, and combinations", " Measuring probabilities", " D'Alembert drops the ball", " Count Buffon plays with a needle", " The point", " A black ball and a white ball", " The binomial theorem", " The calculus of probability re-examined", " Found to rest on hypothesis", " Laplace needs no hypothesis", " Twits Napoleon, who does", " The Marquis de Condorcet has high hopes", " M. le Marquis omits a factor and loses his head", " Fourier of the Old Guard", " Dr. Darwin of the New", " The syllogism scraps a stand-by", " Mr. Socrates may not die", " Ring out the old logic, ring in the new", " Notes", "8. Rubber-sheet Geometry", " Seven bridges over a stein of beer", " Euler shivers", " Is warmed by news from home", " Invents topology", " Dissolves the dilemma of Sunday strollers", " Babies' cribs and Pythagoreans", " Talismen and queer figures", " Position is everything in topology", " Da Vinci and Dali", " Invariants", " Transformations", " The immutable derby", " Competition for the caliph's cup; or, Sifting out the suitors by science", " Mr. Jordan's theorem", " Only seems idiotic", " Deformed circles", " Old facts concerning Times Square and a balloonist's head", " Eccentric deportment of several distinguished gentlemen at Princeton", " Their passion for pretzels", " Their delving in doughnuts", " Enforced modesty of readers and authors", " The ring", " Lachrymose recital around a Paris pissoir", " 'Who staggered how many times around the walls of what?'", " In and out the doughnut", " Gastric surgery - from doughnut to sausage in a single cut", " N-dimensional pretzels", " The Möbius strip", " Just as black as it is painted", " Foments industrial discontent", " Never takes sides", " Bane of painter and paintpot alike", " The iron rings", " Mathematical cotillion; or, How on earth do I get rid of my partner?", " Topology - the pinnacle of perversity; or, Removing your vest without your coat", " Down to earth - map coloring", " Four-color problem", " Euler's theorem", " The simplest universal law", " Brouwer's puzzle", " The search for invariants ", " Notes", "9. Change and Changeability", " The calculus and cement", " Meaning of change and rate of change", " Zeno and the movies", " 'Flying Arrow' local - stops at all points", " Geometry and genetics", " The arithmetic men dig pits", " Lamentable analogue of the boomerang", " History of the calculus", " Kepler", " Fermat", " Story of the great rectangle", " Newton and Leibniz", " Archimedes and the limit", " Shrinking and swelling; or, 'Will the circle go the limit?'", " Brief dictionary of mathematics and physics", " Military idyll; or, The speed of the falling bomb", " The calculus at work", " The derivative", " Higher derivatives and radius of curvature", " Laudable scholarship of automobile engineers", " The third derivative as a shock absorber", " The derivative finds its mate", " Integration", " Kepler and the bungholes", " Measuring lengths; or, The yawning regress", " Methods of approximation", " Measuring areas under curves", " Method of rectangular strips", " The definite integral", " Indefinite integral", " One the inverse of the other", " The outline of history and the descent of man: or, y=e^x", " Sickly curves and orchidaceous ones", " The snowflake", " Infinite perimeters and postage stamps", " Anti-snowflake", " Super-colossal pathological specimen - the curve that fills space", " The unbelievable crisscross", " Notes", "Epilogue. Mathematics and the Imagination", "Bibliography", "Index".

Bogen var en bestseller i sin tid og er første gang ordet Googol optræder på tryk (1949). Den når rundt om helt utroligt mange emner, men lidt for elementært til at fange interessen i længere tid. ( )
  bnielsen | Feb 14, 2014 |
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» Afegeix-hi altres autors (31 possibles)

Nom de l'autorCàrrecTipus d'autorObra?Estat
Edward Kasnerautor primaritotes les edicionscalculat
Newman, James R.autor secundarialgunes edicionsconfirmat
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Anyone who gambles, plays cards, loves puzzles, or simply seeks an intellectual challenge will love this amusing and thought-provoking book. With wit and clarity, the authors deftly progress from simple arithmetic to calculus and non-Euclidean geometry. "Charming and exciting." -- Saturday Review of Literature. Includes 169 figures.

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