Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Introductory Algebraic Number Theory
  • Cited by 28
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      September 2012
      November 2003
      ISBN:
      9780511791260
      9780521832502
      9780521540117
      DOI:
      https://doi.org/10.1017/CBO9780511791260
      Dimensions:
      (253 x 177 mm)
      Weight & Pages:
      0.91kg, 448 Pages
      Dimensions:
      (253 x 177 mm)
      Weight & Pages:
      0.775kg, 448 Pages
      • Subjects:
      Mathematics, Number Theory
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics, Number Theory
    Information

    Book description

    Algebraic number theory is a subject which came into being through the attempts of mathematicians to try to prove Fermat's last theorem and which now has a wealth of applications to diophantine equations, cryptography, factoring, primality testing and public-key cryptosystems. This book provides an introduction to the subject suitable for senior undergraduates and beginning graduate students in mathematics. The material is presented in a straightforward, clear and elementary fashion, and the approach is hands on, with an explicit computational flavour. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested reading and to the biographies of mathematicians who have contributed to the development of algebraic number theory are given at the end of each chapter. There are over 320 exercises, an extensive index, and helpful location guides to theorems and lemmas in the text.

    Reviews

    ‘The overall presentation makes the book suitable for a course for advanced undergraduate students.’

    Source: Zentralblatt MATH

    'Learning algebraic number theory is about the least abstract way to learn about important aspects of commutative ring theory, as well as being beautiful in its own right too. This text is ideally suited to the learner of both of these, with clear writing, a plentiful supply of examples and exercises, and a good range of 'suggested reading'. … I look forward to reading and learning from this book in greater detail. The features which make it attractive are worth listing: the intrinsic fascination of the results; the balance between clearn theory and dirty calculation (the latter essential for developing familiarity with the local terrain, the former for appreciating an arial view of the whole route); the balance between calculation dependent upon the depth of theory and those details dependent on simple algebraic and trigonometric identities and results from elementary number theory; a very full quota of exercises and further reading.'

    Source: The Mathematical Gazette

    'This is a very good textbook on algebraic number theory for beginners. … Its most appealing feature is the very large number of examples it contains. Their abundance provides a lot of hands-on experience and has the power to transform the reader's understanding of basic notions into active knowledge.'

    Source: Monatshefte für Mathematik

    'This book provides a nice introduction to classical parts of algebraic number theory.… The text is written in a lively style and can be read without any prerequisites. Therefore the book is very suitable for graduate students starting mathematics courses or mathematicians interested in introductory reading in algebraic number theory. The book presents a welcome addition to the existing literature.'

    Source: EMS Newsletter

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.