Mathematics and the Imagination

Valutazione media 4,21
( su 113 valutazioni fornite da GoodReads )
 
9780486417035: Mathematics and the Imagination

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

Introduction I. 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 II. 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?Alepho Arithmetic for morons Common sense hits a snag Cardinality madman The tortoise unmasked Motionless motion Private life of a number The house that Cantor built III. "Pie, i, e (PIE)" Chinamen and chandeliers Twilight of common sense "Pie, 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 pie "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 or Semantics" Imaginary numbers "The v-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" IV. 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 V. 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 VI. 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 d "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 standby Mr. Socrates may not die "Ring out the old logic, ring in the new" VIII. 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 IX. 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 Indefinite On the inverse of the other "The outline of history and the descent of man: or, y=ex" 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 EPILOGUE. MATHEMATICS AND THE IMAGINATION

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Kasner, Edward
Editore: Dover Publishers
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Quantità: > 20
Da
INDOO
(Avenel, NJ, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486417034

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 9,19
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,25
In U.S.A.
Destinazione, tempi e costi

2.

Edward Kasner
Editore: Dover Publications Inc., United States (2003)
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 2003. Paperback. Condizione libro: New. 212 x 138 mm. Language: English . Brand New Book. You don t have to love math to enjoy a hand of cards, a night at the casino, or a puzzle. But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics. A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs. Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting. Saturday Review of Literature. Codice libro della libreria AAC9780486417035

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 13,02
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

Kasner, Edward
Editore: Dover Publications (2001)
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Paperback Quantità: 5
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications, 2001. Paperback. Condizione libro: New. Codice libro della libreria 0486417034

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 10,52
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,77
In U.S.A.
Destinazione, tempi e costi

4.

Edward Kasner
Editore: Dover Publications Inc. (2003)
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Quantità: 11
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., 2003. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486417035

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 10,14
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

5.

Kasner, Edward
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Paperback Quantità: 7
Da
BargainBookStores
(Grand Rapids, MI, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 970992

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 10,42
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

6.

Edward Kasner
Editore: Dover Publications Inc., United States (2003)
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Paperback Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 2003. Paperback. Condizione libro: New. 212 x 138 mm. Language: English . Brand New Book. You don t have to love math to enjoy a hand of cards, a night at the casino, or a puzzle. But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics. A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs. Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting. Saturday Review of Literature. Codice libro della libreria AAC9780486417035

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 14,50
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

Kasner, Edward; Newman, James
Editore: Dover Publications
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi PAPERBACK Quantità: 11
Da
Movie Mars
(Indian Trail, NC, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486417034 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 4788020

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 12,44
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

8.

Kasner, Edward; Newman, James
Editore: Dover Publications
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi PAPERBACK Quantità: 1
Da
Vital Products COM LLC
(southampton, PA, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486417034. Codice libro della libreria Z0486417034ZN

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 17,65
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

9.

Edward Kasner
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Paperback Quantità: 1
Da
Grand Eagle Retail
(Wilmington, DE, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. 137mm x 21mm x 216mm. Paperback. 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 progre.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 400 pages. 0.408. Codice libro della libreria 9780486417035

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 17,80
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

10.

Kasner, Edward; Newman, James
Editore: Dover Publications (2001)
ISBN 10: 0486417034 ISBN 13: 9780486417035
Nuovi Paperback Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications, 2001. Paperback. Condizione libro: New. Codice libro della libreria INGM9780486417035

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,65
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro