Modern Algebra with Applications

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9780471414513: Modern Algebra with Applications
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Praise for the first edition

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

As a cornerstone of mathematical science, the importance ofmodern algebra and discrete structures to many areas of science andtechnology is apparent and growing–with extensive use incomputing science, physics, chemistry, and data communications aswell as in areas of mathematics such as combinatorics.

Blending the theoretical with the practical in the instructionof modern algebra, Modern Algebra with Applications, Second Editionprovides interesting and important applications of thissubject–effectively holding your interest and creating a moreseamless method of instruction.

Incorporating the applications of modern algebra throughout itsauthoritative treatment of the subject, this book covers the fullcomplement of group, ring, and field theory typically contained ina standard modern algebra course. Numerous examples are included ineach chapter, and answers to odd-numbered exercises are appended inthe 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 updatedSecond Edition also contains new material on order of an elementand cyclic groups, more details about the lattice of divisors of aninteger, and new historical notes.

Filled with in-depth insights and over 600 exercises of varyingdifficulty, Modern Algebra with Applications, Second Edition canhelp anyone appreciate and understand this subject.

"synopsis" may belong to another edition of this title.

About the Author:

WILLIAM J. GILBERT, DPHil, is a professor in the Departmentof Pure Mathematics at the University of Waterloo, Ontario, Canada.He received his DPhil in mathematics from Oxford University in1968.

W. KEITH NICHOLSON, PHD, is a professor in the Departmentof Mathematics and Statistics at the University of Calgary,Alberta, Canada. He received his PhD in pure mathematics from theUniversity of California at Santa Barbara in 1970.

Review:

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

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9788126518302: Modern Algebra with Applications

Featured Edition

ISBN 10:  8126518308 ISBN 13:  9788126518302
Publisher: John Wiley India(Pvt) Ltd., 2008
Softcover

9780471235439: Modern Algebra with Applications

Wiley-..., 2002
Softcover

9789812532015: Modern Algebra with Applications

Wiley, 2002
Hardcover

9780471298915: Modern Algebra with Applications

Wiley-..., 1976
Softcover

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