TAILIEUCHUNG - Modern Algebra With Applications 2nd

Until recently the applications of modern algebra were mainly confined to other branches of mathematics. However, the importance of modern algebra and dis- crete structures to many areas of science and technology is now growing rapidly. It is being used extensively in computing science, physics, chemistry, and data communication as well as in new areas of mathematics such as combinatorics. We believe that the fundamentals of these applications can now be taught at the junior level. This book therefore constitutes a one-year course in modern algebra for those students who have been exposed to some linear algebra. It contains the essentials of a first course in modern algebra. | MODERN ALGEBRA WITH APPLICATIONS PURE AND APPLIED MATHEMATICS A Wiley-Interscience Series of Texts Monograph and Tracts Founded by RICHARD COURANT Editors MYRON B. ALLEN III DAVID A. COX PETER LAX Editors Emeriti PETER HILTON HARRY HOCHSTADT JOHN TOLAND A complete list of the titles in this series appears at the end of this volume. MODERN ALGEBRA WITH APPLICATIONS Second Edition WILLIAM J. GILBERT University of Waterloo Department of Pure Mathematics Waterloo Ontario Canada W. KEITH NICHOLSON University of Calgary Department of Mathematics and Statistics Calgary Alberta Canada xfAWILEY- INTERSCIENCE A JOHN WILEY SONS INC. .

• Toán học
• Classical Algebra
• Modern Algebra
• Algebraic Structures
• Extending Number Systems
• Boolean Algebras
• Switching Circuits
• Complex Algebra
• Differential Equations
• Classical Mechanics
• Birefringence
• Vector Calculus
• Multivariable Calculus
• Vigenkre Ciphers
• CONVENTIONAL CRYPTOGRAPHY
• Linear Cryptanalysis
• Multipermutations
• SECURITY ANALYSIS
• ALGORITHMIC ALGEBRA
• Security Hypothesis