You are here: Home / Shop / Product Detail Page |

## Elliptic Curves: Number Theory and Cryptography (Hardback)"Elliptic curves have played an increasingly important role in number theory and relate fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of Fermat's Last Theorem. However, most books on the subject assume a rather high level of mathematical sophistication, an few are truly accessible to senior undergraduate or beginning graduate students. Assuming only a modest background in elementary number theory, groups, and fields, ## $79.95 |

### Need More Info?

Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, showing on slight signs of use and wear. It was printed on acid-free paper.

## Description

Continued from the back cover: “The author introduces elliptic curves over finite fields nearly in the treatment, leading readers directly to the intriguing cryptographic applications, but the book is structured so that readers can explore the number theoretic aspects independently if desired.

By side-stepping algebraic geometry in favor of an approach based on basic formulas, this book clearly demonstrates how elliptic curves are used and opens the doors to higher-level studies. *Elliptic Curves* offers a solid introduction to the mathematics and applications of elliptic curves that well prepares its readers to tackle more advanced problems in cryptography and number theory.”

**Chapters**

- Introduction
- The Basic Theory
- Torsion Points
- Elliptic Curves over Finite Fields
- The Discrete Logarithm Problem
- Elliptic Curve Cryptography
- Other Applications
- Elliptic Curves over Q
- Elliptic Curves over C
- Complex Multiplication
- Divisors
- Zeta Functions
- Fermat’s Last Theorem

**Appendices**

- Number Theory
- Groups
- Fields

The book concludes with References and Index.

## Details

- SKU:
- 3361
- Author:
- Washington, Lawrence C.
- Publisher:
- Chapman & Hall/CRC
- Publish Date:
- 2003 (First Printing)
- Format:
- Hardback
- Weight (pounds):
- 1.61
- Dimensions (W”xL”xH”):
- 6.4″x8.5″x1.1″
- ISBN-13:
- 9781584883654
- ISBN-10:
- 1584883650

## Related Products

### Products related to "Elliptic Curves: Number Theory and Cryptography (Hardback)"

- Views:

#### Graduate Texts in Mathematics: Introduction to Cyclotomic Fields, Second Edition (Hardback)

$57.95

"

*Introduction to Cyclotomic Fields*is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory." — From the back cover#### An Invitation to Modern Number Theory (Hardback)

$47.49

"In a manner accessible to beginning undergraduates,

*An Invitation to Modern Number Theory*introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory." — From the back cover#### SMF/AMS Texts and Monographs, Volume 15: Hamiltonian Systems and Their Integrability (Softcover)

$43.65

"This book would be suitable for a graduate course in Hamiltonian systems." — From the back cover

#### Complex Functions: An Algebraic and Geometric Viewpoint (Softcover)

$38.65

"This book is based on lectures given to advance undergraduates and is well-suited as a textbook for a second course in complex function theory. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics." — From the back cover

#### Linear Differential Equations and Group Theory from Riemann to Poincaré, Second Edition (Softcover)

$29.95

"The book contains an amazing wealth of material relating to the algebra, geometry, and analysis of the nineteenth century.... Written with accurate historical perspective and clear exposition, this book is truly hard to put down." — Zentralblatt für Mathematik (review of the first edition, taken from the back cover)

#### Discrete Mathematics and Its Applications: Handbook of Computational Group Theory (Hardback)

$79.99

"The origins of computational group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics." — From the back cover

#### Rotations, Quaternions, and Double Groups (Softcover)

$9.89

"This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems." — From the back cover

#### Springer Undergraduate Mathematics Series: Matrix Groups: An Introduction to Lie Group Theory (Softcover)

$27.99

"Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course." — From the back cover

#### Group Theory and Its Application to Physical Problems (Softcover)

$6.39

"This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics." — From the back cover

#### Springer Undergraduate Mathematics Series: Symmetries (Softcover)

$27.99

"The main object of study for this book is geometry, with group theory providing an appropriate language in which to express geometrical ideas." — From the back cover

#### Springer Undergraduate Mathematics Series: Topics in Group Theory (Softcover)

$27.99

"The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed to support a reader engaged in a first serious group theory course, or a mathematically mature reader approaching the subject for the first time, this book reviews the essentials." — From the back cover

#### Solid-State Sciences: Group Theory and Its Applications in Physics, Study Edition (Softcover)

$58.50

Answers and hints to newly-added exercises in this "Study Edition" make this an appealing text to use by students and professionals alike when being introduced to the field of group theory as it applies to physics.

#### Undergraduate Texts in Mathematics: Groups and Symmetry (Hardback)

$35.15

"As prerequisites I assume a first course in linear algebra (including matrix multiplication and the representation of linear maps between Euclidean spaces by matrices, though not the abstract theory of vector spaces) plus familiarity with the basic properties of the real and complex numbers. It would be a pity to teach group theory without matrix groups available as a rich source of examples, especially since matrices are so heavily used in application." — Mark Anthony Armstrong, Author, in the Preface

#### An Introduction to Tensors and Group Theory for Physicists (Hardback)

$27.95

This book "provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics." — From the back cover

#### Quantum Computer Science: An Introduction (Hardback)

$34.95

"In the 1990s it was realized that quantum physics has some spectacular applications in computer science. This book is a concise introduction to quantum computation, developing the basic elements of this new branch of computational theory without assuming any background in physics." — From the back cover

#### Graduate Texts in Mathematics: Classical Topology and Combinatorial Group Theory, Second Edition (Hardback)

$61.49

"This is a well-balanced introduction to topology that stresses geometric aspects." — From the back cover

#### Galois' Dream: Group Theory and Differential Equations (Hardback)

$29.65

"[The late] Michio Kuga's lectures on Group Theory and Differential Equations are a realization of two dreams—one to see Galois groups used to attack the problems of differential equations—the other to do so in such a manner as to take students from a very basic level to an understanding of the heart of this fascinating mathematical problem." — From the back cover

#### Polyhedra (Softcover)

$45.99

"Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory." — From the back cover

#### Euclidean and Non-Euclidean Geometry: An Analytic Approach (Softcover)

$23.39

"This book gives a rigorous treatment of the fundamentals of plane geometry — Euclidean, spherical, elliptical, and hyperbolic — from an analytic point of view." — From the back cover

#### Graduate Texts in Mathematics: Introduction to Topological Manifolds (Softcover)

$39.95

"This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically with minimal prerequisites and plenty of geometric intuition." — From the back cover