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Jump down to see edition details for: Paperback

Bibliographic Detail

Publisher
Amer Mathematical Society

Publication date
March 19, 2011

Pages
195

Binding
Paperback

Book category
Adult Non-Fiction

ISBN-13
9780821852422

ISBN-10
0821852426

Dimensions
0.50 by 5.25 by 8.25 in.

Weight
0.60 lbs.

Original list price
$39.00

Amazon.com says people who bought this book also bought:

Introduction to Algebraic Geometry (Dover Books on Mathematics) | The Arithmetic of Elliptic Curves | Rational Points on Elliptic Curves | Introduction to Algebraic Geometry | P-Adic Numbers, P-Adic Analysis, Zeta-Functions | Galois Theory for Beginners | Introduction to Elliptic Curves and Modular Forms

Introduction to Algebraic Geometry (Dover Books on Mathematics) | The Arithmetic of Elliptic Curves | Rational Points on Elliptic Curves | Introduction to Algebraic Geometry | P-Adic Numbers, P-Adic Analysis, Zeta-Functions | Galois Theory for Beginners | Introduction to Elliptic Curves and Modular Forms

Summaries and Reviews

**Amazon.com description:**

**Product Description**: Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, $\frac{3344161}{747348}$, and $\frac{2244035177043369699245575130906674863160948472041} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.

Editions

Paperback

The price comparison is for this edition

from Amer Mathematical Society (March 19, 2011)

9780821852422 | details & prices | 195 pages | 5.25 × 8.25 × 0.50 in. | 0.60 lbs | List price $39.00

*About:*Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four.Pricing is shown for items sent to or within the U.S., excluding shipping and tax. Please consult the store to determine exact fees. No warranties are made express or implied about the accuracy, timeliness, merit, or value of the information provided. Information subject to change without notice. isbn.nu is not a bookseller, just an information source.