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#### Encyclopedia of Mathematics and Its Applications 20: Finite Fields (Hardback)

$123.50

"In this book, which is the first one devoted entirely to finite fields, we have aimed at presenting both the classical and the applications-oriented aspect of the subject. Thus, in addition to what has to be considered the essential core of the theory, the reader will find results and techniques that are of importance mainly because of their use in applications." — From the Authors in the Preface

#### 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

#### Encyclopedia of Mathematics and Its Applications 20: Finite Fields (Softcover)

$73.95

"In this book, which is the first one devoted entirely to finite fields, we have aimed at presenting both the classical and the applications-oriented aspect of the subject. Thus, in addition to what has to be considered the essential core of the theory, the reader will find results and techniques that are of importance mainly because of their use in applications." — From the Authors in the Preface

#### 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

#### 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.

#### Graduate Texts in Mathematics: Multiplicative Number Theory, Third Edition (Hardback)

$54.99

"This book thoroughly examines the distribution of prime numbers in arithmetic progressions." — From the back cover

#### The Queen of Mathematics: A Historically Motivated Guide to Number Theory (Hardback)

$49.50

"Starting in the fall of 1986, I combined my interests in number theory and history by teaching a one-year course in number theory from a historical prospective. The course used historical highlights to show the development of various topics, and I included some discussion about the lives of famous number theorists. My lecture notes for the course turned into a more formal set of notes, which turned into this book. Both the spirit and organization of material in the book remain those of my original lectures." — Jay R. Goldman, author, in the Preface

#### Encyclopedia of Mathematics and Its Applications 94: Mathematical Constants (Hardback)

$47.39

"The pages of

*Mathematical Constants*abound in thousands of tales about numbers. This book is an amazing piece of erudition destined to fascinate the novice, puzzle the exerpt, and trigger the imagination of all." — the late Philippe Flajolet, renowned computer scientist#### 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

#### London Mathematical Society Student Texts 23: Complex Algebraic Curves (Softcover)

$45.89

"This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves." — From the back cover

#### Zeta Functions of Graphs: A Stroll through the Garden (Hardback)

$43.95

"Graph theory meets number theory in this stimulating book." — From the back cover

#### The Theory of Partitions (Softcover)

$43.79

"This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive numbers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1." — 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

#### 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

#### Handbook of Mathematics and Computational Science (Hardback)

$39.50

"The Harris and Stocker Handbook of Mathematics and Computation Science is a complete desk-top reference for working scientists, engineers, and students. It serves as a veritable math toolbox for rapid access to a wealth of mathematics information for everyday use in problem solving, homework, examinations, etc." — From the back cover

#### Disquisitiones Arithmeticae (Softcover)

$38.95

"The first translation into English of the standard work on the theory of numbers by one of the greatest masters of modern mathematical analysis, this classic was first published in 1801 in Latin. It has continued to be important to mathematicians as the source of the ideas from which modern number theory was developed and to students of the history of the mathematical sciences." — 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

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

$37.29

"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