عنوان

Applied Abstract Algebra

شابک

9780387961668

شابک

9781461564652

شماره

dltt

عنوان اصلي

Applied Abstract Algebra

نام عام مواد

[Book]

نام نخستين پديدآور

by Rudolf Lidl, Günter Pilz.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Springer US,

تاریخ نشرو بخش و غیره

1984.

عنوان فروست

Undergraduate Texts in Mathematics,

شاپا ي ISSN فروست

0172-6056

متن يادداشت

1 Lattices -- {sect} 1. Properties of Lattices -- {sect}2. Boolean Algebras -- {sect}3. Minimal Forms of Boolean Polynomials -- Notes -- 2 Applications of Lattices -- {sect}1. Switching Circuits -- {sect}2. Propositional Logic -- {sect}3. Further Applications -- Notes -- 3 Finite Fields and Polynomials -- {sect}1. Rings and Fields -- {sect}2. Finite Fields -- {sect}3. Irreducible Polynomials over Finite Fields -- {sect}4. Factorization of Polynomials over Finite Fields -- {sect}5. The Nullspace of a Matrix (Appendix to {sect}4) -- Notes -- 4 Coding Theory -- {sect}1. Linear Codes -- {sect}2. Cyclic Codes -- {sect}3. Special Cyclic Codes -- Notes -- 5 Further Applications of Fields and Groups -- {sect}1. Combinatorial Applications -- {sect}2. Algebraic Cryptography -- {sect}3. Linear Recurring Sequences -- {sect}4. Fast Adding -- {sect}5. Polya's Theory of Enumeration -- Notes -- 6 Automata -- {sect} 1. Semiautomata and Automata -- {sect}2. Description of Automata; Examples -- {sect}3. Semigroups -- {sect}4. Input Sequences -- {sect}5. The Monoid of a (Semi-) Automaton and the (Semi-) Automaton of a Monoid -- {sect}6. Composition and Decomposition -- {sect}7. Minimal Automata -- Notes -- 7 Further Applications of Semigroups -- {sect}1. Formal Languages -- {sect}2. Semigroups in Biology -- {sect}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.

بدون عنوان

0

متن يادداشت

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).

شماره استاندارد بين المللي کتاب و موسيقي

9780387961668

عنوان

Springer eBooks

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Lidl, Rudolf.

مستند نام اشخاص تاييد نشده

Pilz, Günter.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301074100.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y