Inhaltsangabe
The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erd/s, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added. According to the great mathematician Paul Erd/s, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, sis, com binatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
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Reseña del editor
The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erd/s, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added. According to the great mathematician Paul Erd/s, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, sis, com binatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
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Proofs from the Book
Anbieter: Better World Books, Mishawaka, IN, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Artikel-Nr. 5577530-6
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Proofs from the Book
Verlag:
Springer Verlag (edition Second), 2001
ISBN 10: 3540678654
ISBN 13: 9783540678656
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Hardcover
Anbieter: BooksRun, Philadelphia, PA, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Good. Second. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Artikel-Nr. 3540678654-11-1
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Proofs from the book. 3rd edition.
Anbieter: Kloof Booksellers & Scientia Verlag, Amsterdam, Niederlande
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Zustand: very good. Including illustrations by Karl H. Hofmann. Berlin & New York : Springer, c2004. Hardcover. viii, 239 pages : illustrations (some color) ; 25 cm. Contents : Number Theory -- 1. Six proofs of the infinity of primes -- 2. Bertrand's postulate -- 3. Binomial coefficients are (almost) never powers -- 4. Representing numbers as sums of two squares -- 5. Every finite division ring is a field -- 6. Some irrational numbers -- 7. Three times [pi][superscript 2]/6 -- Geometry -- 8. Hilbert's third problem: decomposing polyhedra -- 9. Lines in the plane and decompositions of graphs -- 10. slope problem -- 11. Three applications of Euler's formula -- 12. Cauchy's rigidity theorem -- 13. Touching simplices -- 14. Every large point set has an obtuse angle -- 15. Borsuk's conjecture -- Analysis -- 16. Sets, functions, and the continuum hypothesis -- 17. In praise of inequalities -- 18. theorem of Polya on polynomials -- 19. On a lemma of Littlewood and Offord -- 20. Cotangent and the Herglotz trick -- 21. Buffon's needle problem -- Combinatorics -- 22. Pigeon-hole and double counting -- 23. Three famous theorems on finite sets -- 24. Shuffling cards -- 25. Lattice paths and determinants -- 26. Cayley's formula for the number of trees -- 27. Completing Latin squares -- 28. Dinitz problem -- 29. Identities versus bijections -- Graph Theory -- 30. Five-coloring plane graphs -- 31. How to guard a museum -- 32. Turan's graph theorem -- 33. Communicating without errors -- 34. Of friends and politicians -- 35. Probability makes counting (sometimes) easy. Condition : very good copy. ISBN 9783540678656. Keywords : MATHEMATICS, Artikel-Nr. 300197
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Proofs from the book Martin Aigner, Günter M. Ziegler.
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 00A10 AIG 9783540678656 Sprache: Englisch Gewicht in Gramm: 1150. Artikel-Nr. 2507688
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