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Applied Abstract Algebra - Günter Pilz
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Günter Pilz:

Applied Abstract Algebra - Paperback

1985, ISBN: 0387961666

[EAN: 9780387961668], Neubuch, [SC: 0.0], [PU: Springer New York], ABSTRACTBOOLEANALGEBRA; APPLIEDMATHEMATICS; DEVELOPMENT; DISCRETEMATHEMATICS; FINITEFIELD; HOMOMORPHISM; KNOWLEDGE; MATR… More...

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Applied Abstract Algebra - Günter Pilz, Rudolf Lidl
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Günter Pilz, Rudolf Lidl:

Applied Abstract Algebra - new book

1995, ISBN: 9780387961668

Kartoniert, 568 Seiten, 235mm x 155mm x 31mm, Sprache(n): eng There is at present a growing body of opinion that in the decades ahead discrete mathematics (that is, "noncontinuous mathema… More...

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Applied Abstract Algebra - Pilz, Günter; Lidl, Rudolf
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Pilz, Günter; Lidl, Rudolf:
Applied Abstract Algebra - new book

1995

ISBN: 0387961666

Kartoniert / Broschiert AbstractBooleanAlgebra; appliedmathematics; Development; DiscreteMathematics; finitefield; homomorphism; knowledge; Matrices; Matrix; semigroup; tool; themes; pol… More...

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Applied Abstract Algebra - Rudolf Lidl/ Günter Pilz
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Rudolf Lidl/ Günter Pilz:
Applied Abstract Algebra - Paperback

ISBN: 9780387961668

*Applied Abstract Algebra* / Taschenbuch für 85.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Naturwissenschaften, Medizin, Inf… More...

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Lidl, Rudolf:
Applied Abstract Algebra (Undergraduate Texts in Mathematics) - used book

ISBN: 9780387961668

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Details of the book
Applied Abstract Algebra
Author:
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ISBN:

9780387961668


There is at present a growing body of opinion that in the decades ahead discrete mathematics (that is, "noncontinuous mathematics"), and therefore parts of applicable modern algebra, will be of increasing importance. Cer­ tainly, one reason for this opinion is the rapid development of computer science, and the use of discrete mathematics as one of its major tools. The purpose of this book is to convey to graduate students or to final-year undergraduate students the fact that the abstract algebra encountered pre­ viously in a first algebra course can be used in many areas of applied mathematics. It is often the case that students who have studied mathematics go into postgraduate work without any knowledge of the applicability of the structures they have studied in an algebra course. In recent years there have emerged courses and texts on discrete mathe­ matics and applied algebra. The present text is meant to add to what is available, by focusing on three subject areas. The contents of this book can be described as dealing with the following major themes: Applications of Boolean algebras (Chapters 1 and 2). Applications of finite fields (Chapters 3 to 5). Applications of semigroups (Chapters 6 and 7).

Details of the book - Applied Abstract Algebra


EAN (ISBN-13): 9780387961668
ISBN (ISBN-10): 0387961666
Hardcover
Paperback
Publishing year: 1984
Publisher: Springer New York

Book in our database since 2007-05-20T21:42:37+01:00 (London)
Detail page last modified on 2024-02-14T14:22:59+00:00 (London)
ISBN/EAN: 9780387961668

ISBN - alternate spelling:
0-387-96166-6, 978-0-387-96166-8
Alternate spelling and related search-keywords:
Book author: lidl pilz, rudolf lidl, günter pilz, gunter pilz
Book title: applied abstract algebra, undergraduate text

Information from Publisher

Author: Rudolf Lidl; Günter Pilz
Title: Undergraduate Texts in Mathematics; Applied Abstract Algebra
Publisher: Springer; Springer US
547 Pages
Publishing year: 1995-01-06
New York; NY; US
Language: English
85,55 € (DE)
87,95 € (AT)
106,71 CHF (CH)
Contact supplier
XVIII, 547 p.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Abstract algebra; Boolean algebra; algebra; applied mathematics; development; discrete mathematics; finite field; homomorphism; knowledge; matrices; matrix; polynomial; semigroup; themes; tool; Algebra; BB

1 Lattices.- § 1. Properties of Lattices.- §2. Boolean Algebras.- §3. Minimal Forms of Boolean Polynomials.- Notes.- 2 Applications of Lattices.- §1. Switching Circuits.- §2. Propositional Logic.- §3. Further Applications.- Notes.- 3 Finite Fields and Polynomials.- §1. Rings and Fields.- §2. Finite Fields.- §3. Irreducible Polynomials over Finite Fields.- §4. Factorization of Polynomials over Finite Fields.- §5. The Nullspace of a Matrix (Appendix to §4).- Notes.- 4 Coding Theory.- §1. Linear Codes.- §2. Cyclic Codes.- §3. Special Cyclic Codes.- Notes.- 5 Further Applications of Fields and Groups.- §1. Combinatorial Applications.- §2. Algebraic Cryptography.- §3. Linear Recurring Sequences.- §4. Fast Adding.- §5. Polya’s Theory of Enumeration.- Notes.- 6 Automata.- § 1. Semiautomata and Automata.- §2. Description of Automata; Examples.- §3. Semigroups.- §4. Input Sequences.- §5. The Monoid of a (Semi-) Automaton and the (Semi-) Automaton of a Monoid.- §6. Composition and Decomposition.- §7. Minimal Automata.- Notes.- 7 Further Applications of Semigroups.- §1. Formal Languages.- §2. Semigroups in Biology.- §3. Semigroups in Sociology.- 8 Solutions to the Exercises.- 1.- 2.- 3.- 4.- 5.- 6.- 7.- A. Some Fundamental Concepts.- B. Computer Programs.- Author Index.

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