Introduction to Cyclotomic Fields

By: Lawrence C. Washington

Write A Review

Hardcover | 1 January 1997 | Edition Number 2

At a Glance

Hardcover
508 Pages

Edition Type
Revised

Dimensions(cm)
24.13 x 16.51 x 2.54

Hardcover

$109.00

or 4 interest-free payments of $27.25 with

or

Ships in 5 to 7 business days

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. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included.
The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Groups & Group Theory

Team Psychology in Sports

Theory and Practice

Hardcover

RRP $305.00

$263.75

14%
OFF

Team Psychology in Sports

Theory and Practice

Paperback

RRP $92.99

$84.75

The New Psychology of Leadership : 3rd Edition - Identity, Influence and Power - Michael J. Platow

$22.99

15%
OFF

The Psychology of Belonging

The Psychology of Everything

Paperback

RRP $19.99

$18.75

The New Psychology of Leadership

2nd Edition - Identity, Influence and Power

Paperback

RRP $97.75

$95.75

The Culture Playbook

60 Highly Effective Actions to Help Your Group Succeed

Paperback

RRP $26.99

$22.99

15%
OFF

Interpersonal Communication

Putting Theory into Practice

Hardcover

RRP $273.00

$236.99

13%
OFF

Interpersonal Communication

Putting Theory into Practice

Paperback

RRP $158.00

$141.75

10%
OFF

Developing Communication and Counselling Skills in Medicine

Routledge Revivals

Hardcover

RRP $179.00

$158.99

11%
OFF

Key Topics in Attitudes and Persuasion

BPS Key Topics in Psychology

Paperback

RRP $58.99

$57.75

Key Topics in Attitudes and Persuasion

BPS Key Topics in Psychology

Hardcover

RRP $305.00

$263.75

14%
OFF

Interviewing and Communication in Social Work : Routledge Revivals - Crispin P. Cross

$66.75

The Psychology of Trust : Sydney Symposium of Social Psychology - Joseph P. Forgas

$71.75

The Social Psychology of Citizenship

Critical Advances and Interdisciplinary Insights

Hardcover

RRP $284.00

$246.75

13%
OFF

Preface to the Second Edition
Preface to the First Edition
Fermat's Last Theorem	p. 1
Basic Results	p. 9
Dirichlet Characters	p. 20
Dirichlet L-series and Class Number Formulas	p. 30
p-adic L-functions and Bernoulli Numbers	p. 47
Stickelberger's Theorem	p. 87
Iwasawa's Construction of p-adic L-functions	p. 113
Cyclotomic Units	p. 143
The Second Case of Fermat's Last Theorem	p. 167
Galois Groups Acting on Ideal Class Groups	p. 185
Cyclotomic Fields of Class Number One	p. 205
Measures and Distributions	p. 232
Iwasawa's Theory of Z[subscript p]-extensions	p. 264
The Kronecker-Weber Theorem	p. 321
The Main Conjecture and Annihilation of Class Groups	p. 332
Miscellany	p. 373
Appendix	p. 391
Tables	p. 407
Bibliography	p. 424
List of Symbols	p. 483
Index	p. 485
Table of Contents provided by Blackwell. All Rights Reserved.

Introduction to Cyclotomic Fields

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Groups & Group Theory

Team Psychology in Sports

Theory and Practice

Team Psychology in Sports

Theory and Practice

The New Psychology of Leadership

3rd Edition - Identity, Influence and Power

The Art of Gathering

How We Meet and Why It Matters

The Psychology of Belonging

The Psychology of Everything

The New Psychology of Leadership

2nd Edition - Identity, Influence and Power

The Culture Playbook

60 Highly Effective Actions to Help Your Group Succeed

Interpersonal Communication

Putting Theory into Practice

Interpersonal Communication

Putting Theory into Practice

Developing Communication and Counselling Skills in Medicine

Routledge Revivals

Key Topics in Attitudes and Persuasion

BPS Key Topics in Psychology

Key Topics in Attitudes and Persuasion

BPS Key Topics in Psychology

Interviewing and Communication in Social Work

Routledge Revivals

Policing the Crowd

Routledge Advances in Police Practice and Knowledge

The Psychology of Trust

Sydney Symposium of Social Psychology

Group Performance

Psychology Revivals

Social Psychology in the Real World

Social Psychology in the Real World

The Social Psychology of Citizenship

Critical Advances and Interdisciplinary Insights

The Social Psychology of Citizenship

Critical Advances and Interdisciplinary Insights

Identity, Theory, and Practice in Group Relations

A Reflective Selfie

The Psychological After-Effects of Covid

Post-Pandemic Complications and Interventions in India

The Routledge International Handbook of Boredom

Routledge International Handbooks

Communication as an Art of Living

The Philosophy and Practice of Talking with Each Other

This product is categorised by