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The Mathematical Universe
An Alphabetical Journey Through the Great Proofs, Problems, and Personalities
Buch von William Dunham
Sprache: Englisch

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Beschreibung
From the simple elegance of the Pythagorean theorem to the looking-glass world of Russell's Paradox and the summed infinities of integral calculus, experience the beauty and majesty of the mathematical universe. William Dunham, author of the popular Journey Through Genius, will give you a rare sampling of its joys. Writing in his trademark razor-sharp style, Dunham introduces a tantalizing selection of the great proofs, notorious disputes, and intriguing unsolved mysteries. Subjects range from the golden age of Greek geometry to the furthest frontier of infinite series. In chapters spanning the field from A to Z, discover the marvels of the Monte Carlo Method and the ancient riddle of Dido's Problem. Scale the heights of the Himalayas with famed surveyor Sir George Everest and puzzle over the fascinating conundrum of Fermat's Last Theorem. Dunham explores more than five thousand years of mathematical history, digging into the earliest records in Egypt, Babylon, India, and China, and turning up surprising tales and tidbits from modern times. All along the way, Dunham portrays the great masters of math at their work. In colorful anecdotes, the brilliant - often eccentric - luminaries chart the course of mathematical progress. Among them are the battling Bernoulli brothers, Jakob and Johann, who worked tirelessly to one-up each other's theorems; the famed Isaac Newton and largely forgotten Gottfried Wilhelm Leibniz, who independently and virtually simultaneously discovered "the calculus"; and the exceptionally determined genius Sofia Kovalevskaia, who discovered the rules of trigonometry for herself when she was left without instruction. Your passport to rich rewards, The MathematicalUniverse is accessible to any reader with a basic knowledge of algebra and geometry. You will come away from this exhilarating book with a keen sense of the power and splendor of the magical mathematical world.
From the simple elegance of the Pythagorean theorem to the looking-glass world of Russell's Paradox and the summed infinities of integral calculus, experience the beauty and majesty of the mathematical universe. William Dunham, author of the popular Journey Through Genius, will give you a rare sampling of its joys. Writing in his trademark razor-sharp style, Dunham introduces a tantalizing selection of the great proofs, notorious disputes, and intriguing unsolved mysteries. Subjects range from the golden age of Greek geometry to the furthest frontier of infinite series. In chapters spanning the field from A to Z, discover the marvels of the Monte Carlo Method and the ancient riddle of Dido's Problem. Scale the heights of the Himalayas with famed surveyor Sir George Everest and puzzle over the fascinating conundrum of Fermat's Last Theorem. Dunham explores more than five thousand years of mathematical history, digging into the earliest records in Egypt, Babylon, India, and China, and turning up surprising tales and tidbits from modern times. All along the way, Dunham portrays the great masters of math at their work. In colorful anecdotes, the brilliant - often eccentric - luminaries chart the course of mathematical progress. Among them are the battling Bernoulli brothers, Jakob and Johann, who worked tirelessly to one-up each other's theorems; the famed Isaac Newton and largely forgotten Gottfried Wilhelm Leibniz, who independently and virtually simultaneously discovered "the calculus"; and the exceptionally determined genius Sofia Kovalevskaia, who discovered the rules of trigonometry for herself when she was left without instruction. Your passport to rich rewards, The MathematicalUniverse is accessible to any reader with a basic knowledge of algebra and geometry. You will come away from this exhilarating book with a keen sense of the power and splendor of the magical mathematical world.
Über den Autor

WILLIAM DUNHAM, Ph.D., is the Truman Koehler Professor of Mathematics at Muhlenberg College in Allentown, Pennsylvania. The author of the acclaimed Journey Through Genius, he was awarded the 1993 George Polya Award of the Mathematical Association of America for excellence in expository writing about mathematics. He is also the recipient of grants from the National Endowment for the Humanities.

Inhaltsverzeichnis
Arithmetic.

Bernoulli Trials.

Circle.

Differential Calculus.

Euler.

Fermat.

Greek Geometry.

Hypotenuse.

Isoperimetric Problem.

Justification.

Knighted Newton.

Lost Leibniz.

Mathematical Personality.

Natural Logarithm.

Origins.

Prime Number Theorem.

Quotient.

Russell's Paradox.

Spherical Surface.

Trisection.

Utility.

Venn Diagram.

Where Are the Women?

X-Y Plane.

Z.

Afterword.

Notes.

Index.
Details
Erscheinungsjahr: 1994
Fachbereich: Populäre Darstellungen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Einband - fest (Hardcover)
ISBN-13: 9780471536567
ISBN-10: 0471536563
Sprache: Englisch
Einband: Gebunden
Autor: Dunham, William
Hersteller: Wiley
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 240 x 161 x 22 mm
Von/Mit: William Dunham
Erscheinungsdatum: 16.08.1994
Gewicht: 0,654 kg
Artikel-ID: 101695574
Über den Autor

WILLIAM DUNHAM, Ph.D., is the Truman Koehler Professor of Mathematics at Muhlenberg College in Allentown, Pennsylvania. The author of the acclaimed Journey Through Genius, he was awarded the 1993 George Polya Award of the Mathematical Association of America for excellence in expository writing about mathematics. He is also the recipient of grants from the National Endowment for the Humanities.

Inhaltsverzeichnis
Arithmetic.

Bernoulli Trials.

Circle.

Differential Calculus.

Euler.

Fermat.

Greek Geometry.

Hypotenuse.

Isoperimetric Problem.

Justification.

Knighted Newton.

Lost Leibniz.

Mathematical Personality.

Natural Logarithm.

Origins.

Prime Number Theorem.

Quotient.

Russell's Paradox.

Spherical Surface.

Trisection.

Utility.

Venn Diagram.

Where Are the Women?

X-Y Plane.

Z.

Afterword.

Notes.

Index.
Details
Erscheinungsjahr: 1994
Fachbereich: Populäre Darstellungen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Einband - fest (Hardcover)
ISBN-13: 9780471536567
ISBN-10: 0471536563
Sprache: Englisch
Einband: Gebunden
Autor: Dunham, William
Hersteller: Wiley
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 240 x 161 x 22 mm
Von/Mit: William Dunham
Erscheinungsdatum: 16.08.1994
Gewicht: 0,654 kg
Artikel-ID: 101695574
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