Learning Modern Algebra
£36.99
Part of Mathematical Association of America Textbooks
- Authors:
- Al Cuoco, Education Development Center
- Joseph Rotman, University of Illinois, Urbana-Champaign
- Date Published: January 2015
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
- format: Hardback
- isbn: 9781939512017
£
36.99
Hardback
Looking for an inspection copy?
This title is not currently available on inspection
-
Much of modern algebra arose from attempts to prove Fermat's Last Theorem, which in turn has its roots in Diophantus' classification of Pythagorean triples. This book, designed for prospective and practising mathematics teachers, makes explicit connections between the ideas of abstract algebra and the mathematics taught at high-school level. Algebraic concepts are presented in historical order, and the book also demonstrates how other important themes in algebra arose from questions related to teaching. The focus is on number theory, polynomials, and commutative rings. Group theory is introduced near the end of the text to explain why generalisations of the quadratic formula do not exist for polynomials of high degree, allowing the reader to appreciate the work of Galois and Abel. Results are motivated with specific examples, and applications range from the theory of repeating decimals to the use of imaginary quadratic fields to construct problems with rational solutions.
Read more- Designed for school-level mathematics teachers, but can also be used as a modern algebra coursebook
- Outlines the development of algebra from the Babylonian era to the present day
- Demonstrates how important themes in algebra arose from questions related to teaching
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: January 2015
- format: Hardback
- isbn: 9781939512017
- length: 480 pages
- dimensions: 275 x 195 x 30 mm
- weight: 1.08kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
Preface
Some features of this book
A note to students
A note to instructors
Notation
1. Early number theory
2. Induction
3. Renaissance
4. Modular arithmetic
5. Abstract algebra
6. Arithmetic of polynomials
7. Quotients, fields, and classical problems
8. Cyclotomic integers
9. Epilogue
References
Index.
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» 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 ×Are you sure you want to delete your account?
This cannot be undone.
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.
×