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Elliptic Curves, Modular Forms, and Their L-functions by Alvaro Lozano-Robledo (Microfilm, 2011)

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Product Information

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 wadays to attack them, presented so that the number theory is always at the forefront of the discussion. Loza-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, Loza-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.

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
0821852426
ISBN-13
9780821852422
eBay Product ID (ePID)
177996971

Product Key Features

Author
Alvaro Lozano-Robledo
Format
Microfilm
Language
English
Subject
Science & Mathematics: Textbooks & Study Guides
Type
Textbook

Dimensions

Height
216mm
Width
140mm

Additional Product Features

Place of Publication
Providence
Series Part/Volume Number
No. 58
Series Title
Student Mathematical Library
Content Note
Illustrations
Date of Publication
15/02/2011
Genre
Science & Mathematics: Textbooks & Study Guides
Country of Publication
United States

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Elliptic Curves, Modular Forms, and Their L-functions by Alvaro Lozano-Robledo (Microfilm, 2011)

Best-selling in Adult Learning & University

Secrets Of Mental Math: The Mathemagician's Guide to Lightening Calculation and Amazing Maths Tricks by Arthur Benjamin, Michael Shermer (Paperback, 2006)

Never Split the Difference: Negotiating as if Your Life Depended on It by Chris Voss, Tahl Raz (Paperback, 2017)

Die with Zero: Getting All You Can from Your Money and Your Life by Bill Perkins (Paperback, 2021)

The Falsification of History: Our Distorted Reality by John Hamer (Paperback, 2013)

Adult Children of Emotionally Immature Parents: How to Heal from Distant, Rejecting, or Self-Involved Parents by Lindsay C Gibson (Paperback, 2015)

Code of Practice for In-service Inspection and Testing of Electrical Equipment by The Institution of Engineering and Technology (Paperback, 2020)

Clean & Green: 101 Hints and Tips for a More Eco-Friendly Home by Nancy Birtwhistle (Hardcover, 2021)

Save on Adult Learning & University

Greekish: Everyday recipes with Greek roots by Georgina Hayden (English) Hardcov

Bold Beans: Beautiful, Brilliant and Exciting Recipes by Amelia Christie-Miller

The Concise Laws of Human Nature by Robert Greene Paperback, English

Zero to One: Notes on Start Ups, or How to Build the Future by Thiel, Peter The

Staring At The Sun: Being at peace with your own mortality by Irvin Yalom

Why We Get Sick (Paperback) by Bikman & Benjamin

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