Introduction to Elliptic Curves and Modular Forms by Neal I Koblitz
This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient congruent number problem is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians in fields far removed from the subject of the book. With numerous exercises (and answers) included, the textbook is also intended for graduate students who have completed the standard first-year courses in real and complex analysis and algebra. Such students would learn applications of techniques from those courses. thereby solidifying their under- standing of some basic tools used throughout mathematics. Graduate stu- dents wanting to work in number theory or algebraic geometry would get a motivational, example-oriented introduction. In addition, advanced under- graduates could use the book for independent study projects, senior theses, and seminar work.-
Algebraic Geometry
-
Introduction to Riemannian Manifolds
-
A Course in Number Theory and Cryptography
-
Algebra
-
The Arithmetic of Elliptic Curves
-
Brownian Motion and Stochastic Calculus
-
Applications of Lie Groups to Differential Equations
-
Commutative Algebra
-
Representation Theory
-
Advanced Linear Algebra
-
Groups and Representations
-
Modular Functions and Dirichlet Series in Number Theory
-
Introduction to Topological Manifolds
-
Categories for the Working Mathematician
-
Quaternion Algebras
-
Measure, Integration & Real Analysis
-
Graph Theory
-
Lie Groups, Lie Algebras, and Representations
-
Differential Forms in Algebraic Topology
-
Complex Analysis
-
Modern Graph Theory
-
Problems in Analytic Number Theory
-
A Course in the Theory of Groups
-
Fermat's Last Theorem
-
Holomorphic Functions and Integral Representations in Several Complex Variables
-
Elements of Homotopy Theory
-
Probability Theory I
-
Algebraic Number Theory
-
Mathematical Methods of Classical Mechanics
-
Topology and Geometry
-
An Introduction to Algebraic Topology
-
The Geometry of Schemes
-
Foundations of Differentiable Manifolds and Lie Groups
-
Abstract Algebra
-
Linear Representations of Finite Groups
-
A Classical Introduction to Modern Number Theory
-
Introduction to Smooth Manifolds
-
Brownian Motion, Martingales, and Stochastic Calculus
| SKU | Unavailable |
| ISBN 13 | 9780387979663 |
| ISBN 10 | 0387979662 |
| Title | Introduction to Elliptic Curves and Modular Forms |
| Author | Neal I Koblitz |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 1993-04-29 |
| Number of pages | 252 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |