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Elliptic Curves, Modular Forms, - Paperback, by Álvaro Lozano-Robledo - New
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eBay-Artikelnr.:146820879760
Artikelmerkmale
- Artikelzustand
- Book Title
- Elliptic Curves, Modular Forms, and Their L-functions (Student Ma
- ISBN
- 9780821852422
Über dieses Produkt
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821852426
ISBN-13
9780821852422
eBay Product ID (ePID)
99492515
Product Key Features
Number of Pages
196 Pages
Publication Name
Elliptic Curves, Modular Forms and Their L-Functions
Language
English
Subject
General, Number Theory, Geometry / Algebraic
Publication Year
2011
Type
Textbook
Subject Area
Mathematics
Series
Student Mathematical Library
Format
Trade Paperback
Dimensions
Item Height
0.5 in
Item Weight
8.8 Oz
Item Length
8.6 in
Item Width
5.6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2010-038952
Dewey Edition
22
Reviews
...ambitious undergraduates need a chance to get to know the fabled cities, and now they have it. With any luck, they will fall in love with them and come help us explore their mysteries." - MAA Reviews "A welcome addition to a serious mathematics library." - Michael Berg, MAA Reviews "I think this is a wonderful book. In less than 200 pages Lozano-Robledo covers a solid amount of modern number theory in a manner altogether accessible to a novice, and in a fashion so as to convey number theory's irresistible beauty. . . . [T]he themes Lozano-Robledo addresses . . . are deep and sophisticated; considerable mathematical background is required for their mastery. But mastery is not what Lozano-Robledo is after: it's more along the lines of rendering 'the primary objects of study, the statements of the main theorems, and their corollaries . . . within the grasp of advanced undergraduates.' And in this objective Lozano-Robledo succeeds admirably. The book is full of examples and exercises of such appeal that a properly disposed rookie should go after nigh-on all of them; to boot, the author's narrative is compact and smooth. Elliptic Curves, Modular Forms, and Their L-Functions is a marvelous addition to the literature. Had I had it available as a kid, it would have been among my very favorites!" - CHOICE Reviews "The most remarkable aspect [of the book] is the emphasis on detailed analysis of the definitions and complete explanation of the statements of the main theorems and corollaries." - J. R. Delgado, European Mathematical Society
Series Volume Number
58
Illustrated
Yes
Dewey Decimal
516.3/52
Table Of Content
Preface Introduction Elliptic curves Modular curves Modular forms -functions PARI/GP and Sage Complex analysis Projective space The -adic numbers Parametrization of torsion structures Bibliography Index
Synopsis
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., An introductory survey of elliptic curves, modular forms, and $L$-functions. The 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.
LC Classification Number
QA567.2.E44L69 2010
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- c***e (34)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufThe textbook was better than described. It looks like brand new! The price was appropriate for the type of textbook that it is. The appearance and quality of the textbook was impeccable. The shipping took about 2 weeks to arrive, but the textbook was well worth the wait. Seller packaged my textbook beautifully which ensured that it arrived unharmed and in perfect condition. Excellent seller! I would purchase more items from this seller in the future!Linear Algebra and Its Applications - Paperback, by Lay David C.; - Very Good (Nr. 126680792320)