Skip to content
Register Sign in Wishlist
Concrete Abstract Algebra

Concrete Abstract Algebra
From Numbers to Gröbner Bases

£45.99

textbook
  • Date Published: October 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521534109
Average user rating
(1 review)

£ 45.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Request inspection copy

Lecturers may request a copy of this title for inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials and systems of non-linear equations. A special feature is that Gröbner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. This book is built on several years of experience teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly. Solutions to the exercises are available to lecturers from solutions@cambridge.org.

    • Teaching based on examples and applications breathes life into traditional subject
    • First treatment of Gröbner bases at undergraduate level
    • Numerous exercises with solutions manual available from solutions@cambridge.org
    Read more

    Reviews & endorsements

    'I highly recommend this book … If you are looking for a solid introduction to the topic of abstract algebra, this is the book for you.' Computing Reviews

    'A very useful book, which emphazises the relation between number theory and algebra offering also a very comprehensible introduction to a relatively new branch of algebra.' Monatshefte für Mathematik

    '… this textbook is absolutely self-contained, with the prerequisites kept to a minimum. The exposition is perfectly lucid, rigorous, detailed and user-friendly, which makes the book also suitable for private study. In summary, this is a highly interesting and original textbook on basic abstract algebra, with many topical extras and didactic novelties. It is perfectly suited for beginners in the field...' Werner Kleinert, Zentralblatt MATH

    'Unlike many books on abstract algebra, this one is written in a very lively style, with emphasis on illuminating examples and applications. This makes the book a valuable addition to undergraduate literature on this topical subject.' EMS Newsletter

    See more reviews

    Customer reviews

    27th Jan 2015 by Askcusat

    The quality of the exposition in this book is excellent. This book will be given the most serious consideration for adoption

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: October 2003
    • format: Paperback
    • isbn: 9780521534109
    • length: 256 pages
    • dimensions: 229 x 152 x 14 mm
    • weight: 0.42kg
    • contains: 40 b/w illus.
    • availability: Available
  • Table of Contents

    1. Numbers
    2. Groups
    3. Rings
    4. Polynomials
    5. Gröbner bases.

  • Resources for

    Concrete Abstract Algebra

    Niels Lauritzen

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact lecturers@cambridge.org.

  • Instructors have used or reviewed this title for the following courses

    • Abstract Algebra
    • Algebraic Structures
    • Graduate Algebra
  • Author

    Niels Lauritzen, Aarhus Universitet, Denmark

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×