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William J. Gilbert - Modern Algebra with Applications - 9780471414513 - V9780471414513
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Modern Algebra with Applications

€ 209.51
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Description for Modern Algebra with Applications Hardcover. As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing with extensive use in computing science, physics, chemistry, and data communications as well as in new areas of mathematics such as combinatorics. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 352 pages, index. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 244 x 165 x 23. Weight in Grams: 620.
Praise for the first edition

"This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries."
–CHOICE

As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing–with extensive use in computing science, physics, chemistry, and data communications as well as ... Read more

Blending the theoretical with the practical in the instruction of modern algebra, Modern Algebra with Applications, Second Edition provides interesting and important applications of this subject–effectively holding your interest and creating a more seamless method of instruction.

Incorporating the applications of modern algebra throughout its authoritative treatment of the subject, this book covers the full complement of group, ring, and field theory typically contained in a standard modern algebra course. Numerous examples are included in each chapter, and answers to odd-numbered exercises are appended in the back of the text.

Chapter topics include:

  • Boolean Algebras
  • Polynomial and Euclidean Rings
  • Groups
  • Quotient Rings
  • Quotient Groups
  • Field Extensions
  • Symmetry Groups in Three Dimensions
  • Latin Squares
  • Pólya—Burnside Method of Enumeration
  • Geometrical Constructions
  • Monoids and Machines
  • Error-Correcting Codes
  • Rings and Fields

In addition to improvements in exposition, this fully updated Second Edition also contains new material on order of an element and cyclic groups, more details about the lattice of divisors of an integer, and new historical notes.

Filled with in-depth insights and over 600 exercises of varying difficulty, Modern Algebra with Applications, Second Edition can help anyone appreciate and understand this subject.

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Product Details

Format
Hardback
Publication date
2003
Publisher
John Wiley & Sons Inc United States
Number of pages
352
Condition
New
Series
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Number of Pages
352
Place of Publication
, United States
ISBN
9780471414513
SKU
V9780471414513
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50

About William J. Gilbert
WILLIAM J. GILBERT, DPHil, is a professor in the Department of Pure Mathematics at the University of Waterloo, Ontario, Canada. He received his DPhil in mathematics from Oxford University in 1968. W. KEITH NICHOLSON, PHD, is a professor in the Department of Mathematics and Statistics at the University of Calgary, Alberta, Canada. He received his PhD in pure mathematics ... Read more

Reviews for Modern Algebra with Applications
“…an ideal starter into algebra for all kinds of students, and a very useful addition to existing textbooks…” (Zentralblatt Math, Vol.1050, 2005)

Goodreads reviews for Modern Algebra with Applications


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