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Applied Abstract Algebra with MapleTM and MATLAB®
ISBN-13:
9781482248289
Veröffentl:
2015
Seiten:
555
Autor:
Richard Klima
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
This book provides an in-depth introduction to real-world abstract algebraic problems. Chapters examine the prerequisite mathematics needed, block designs, coding theory, and cryptography while the final chapters cover counting techniques, including Polya's and Burnside's theorems. Eliminating the need for heavy number crunching, sophisticated mathematical software packages open the door to areas like cryptography, coding theory, and combinatorics that are dependent on abstract algebra. This book explores these topics and shows how to apply the software programs to abstract algebra and its related fields.
Preliminary Mathematics. Block Designs. Error-Correcting Codes. BCH Codes. Reed-Solomon Codes. Algebraic Cryptography. Vigenere Ciphers. RSA Ciphers. Elliptic Curve Cryptography. The Advanced Encryption Standard. Polya Theory. Graph Theory. Symmetry in Western Music. Bibliography. Hints or Answers for Selected Exercises.
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