Topics in the Theory of Numbers

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9780387953205: Topics in the Theory of Numbers

Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive.

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From the reviews:

"Read this book just for Erdös’s (Erdos’s) characteristic turn of thought, or for results hard to find elsewhere, such as a finiteness theorem concerning odd perfect numbers with a fixed number of factors. Summing Up: Recommended. Lower-division undergraduates through professionals." (D.V. Feldman, CHOICE, December, 2003)

"This is an English translation of the second edition of a book originally published over 40 years ago … . The contents should be accessible to, and inspire and challenge, keen pre-university students as well as giving the experienced mathematician food for thought. The proofs are elementary and largely self-contained, and the problems and results well motivated. … This translation makes a very clearly and nicely written book available to many more readers who should benefit and gain much pleasure from studying it." (Eira J. Scourfield, Zentralblatt MATH, Issue 1018, 2003)

"This rather unique book is a guided tour through number theory. While most introductions to number theory provide a systematic and exhaustive treatment of the subject, the authors have chosen instead to illustrate the many varied subjects by associating recent discoveries, interesting methods, and unsolved problems. … János Surányi’s vast teaching experience successfully complements Paul Erdös’s ability to initiate new directions of research by suggesting new problems and approaches." (L’Enseignement Mathematique, Vol. 49 (1-2), 2003)

"This is a somewhat enlarged translation of the Hungarian book … . It goes without saying that the text is masterly written. It contains on comparatively few lines the fundamental ideas of not only elementary Number Theory: it contains also irrationality proofs ... . The book is hence by far not an n-th version of always the same matter. The style reminds me on the celebrated book of Pólya … . It is desirable that the book under discussion should have a similar success." (J. Schoissengeier, Monatshefte für Mathematik, Vol. 143 (2), 2004)

"This an introduction to elementary number theory in which the authors present the main notions of that theory and ‘try to give glimpses into the deeper related mathematics’, as they write in the preface. There are 8 chapters … . Each of them brings not only the notions and theorems (sometimes with unconventional proofs) which usually appear in introductory texts, but discusses also topics found rarely … . One also finds several interesting historical comments." (W. Narkiewicz, Mathematical Reviews, 2003j)

Dalla quarta di copertina:

This rather unique book is a guided tour through number theory. While most introductions to number theory provide a systematic and exhaustive treatment of the subject, the authors have chosen instead to illustrate the many varied subjects by associating recent discoveries, interesting methods, and unsolved problems. In particular, we read about combinatorial problems in number theory, a branch of mathematics co-founded and popularized by Paul Erdös. Janos Suranyis vast teaching experience successfully complements Paul Erdös'ability to initiate new directions of research by suggesting new problems and approaches. This book will surely arouse the interest of the student and the teacher alike.
Until his death in 1996, Professor Paul Erdös was one of the most prolific mathematicians ever, publishing close to 1,500 papers. While his papers contributed to almost every area of mathematics, his main research interest was in the area of combinatorics, graph theory, and number theory. He is most famous for proposing problems to the mathematical community which were exquisitely simple to understand yet difficult to solve. He was awarded numerous prestigious prizes including the Frank Nelson Cole prize of the AMS.
Professor Janos Suranyi is a leading personality in Hungary, not just within the mathematical community, but also in the planning and conducting of different educational projects which have led to a new secondary school curriculum. His activity has been recognized by, amongst others, the Middle Cross of the Hungarian Decoration and the Erdös Award of the World Federation of National Mathematical Competitions.

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Janos Suranyi, Paul Erdos
Editore: Springer-Verlag New York Inc. 2003-01-14, New York, NY (2003)
ISBN 10: 0387953205 ISBN 13: 9780387953205
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Descrizione libro Springer-Verlag New York Inc. 2003-01-14, New York, NY, 2003. hardback. Condizione libro: New. Codice libro della libreria 9780387953205

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Janos Suranyi, Paul Erdos
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Descrizione libro Springer-Verlag New York Inc., United States, 2003. Hardback. Condizione libro: New. 2003 ed.. 236 x 160 mm. Language: English . Brand New Book. Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. Codice libro della libreria AAZ9780387953205

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Janos Suranyi, Paul Erdos, B. Guiduli
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Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, Topics in the Theory of Numbers, Janos Suranyi, Paul Erdos, B. Guiduli, Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. Codice libro della libreria B9780387953205

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Janos Suranyi, Paul Erdos
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ISBN 10: 0387953205 ISBN 13: 9780387953205
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Descrizione libro Springer-Verlag New York Inc., United States, 2003. Hardback. Condizione libro: New. 2003 ed.. 236 x 160 mm. Language: English . Brand New Book. Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. Codice libro della libreria AAZ9780387953205

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Janos Suranyi
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Descrizione libro Springer-Verlag New York Inc., 2003. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780387953205

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Suranyi, Janos; Erdos, Paul
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Descrizione libro Springer-Verlag New York Inc., 2003. Condizione libro: New. Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. This book includes a collection of problems from various topics in number theory. Translator(s): Guiduli, B. Series: Undergraduate Texts in Mathematics. Num Pages: 287 pages, 3 black & white illustrations, biography. BIC Classification: PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 19. Weight in Grams: 650. . 2003. 2003rd Edition. Hardcover. . . . . . Codice libro della libreria V9780387953205

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Barry Guiduli; Janos Suranyi; Paul Erdos
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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0387953205. Codice libro della libreria ST0387953205

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Suranyi, Janos; Erdös, Paul
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Descrizione libro Springer, 2003. Condizione libro: New. book. Codice libro della libreria ria9780387953205_rkm

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Suranyi, Janos; Erdos, Paul
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Descrizione libro Springer-Verlag New York Inc. Condizione libro: New. Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. This book includes a collection of problems from various topics in number theory. Translator(s): Guiduli, B. Series: Undergraduate Texts in Mathematics. Num Pages: 287 pages, 3 black & white illustrations, biography. BIC Classification: PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 19. Weight in Grams: 650. . 2003. 2003rd Edition. Hardcover. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780387953205

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Barry Guiduli; Janos Suranyi; Paul Erdos
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97803879532050000000

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