Modern Algebra and Discrete Structures PDF Download
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Author: R. F. Lax
Publisher: Pearson
ISBN: 9780060438784
Category : Algebra
Languages : en
Pages : 0
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Book Description
This text offers students clarity and instructors flexibility. Its thorough coverage of applications, algorithms, and examples, and its inclusion of many proofs explain and reinforce the material. Its traditional organization makes it a suitable text for several courses. Attention to contemporary topics such as key cryptosystems and coding theory makes the text current. It is flexible enough to be used for courses in applied algebra or modern (abstract) algebra.
Author: R. F. Lax
Publisher: Pearson
ISBN: 9780060438784
Category : Algebra
Languages : en
Pages : 0
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Book Description
This text offers students clarity and instructors flexibility. Its thorough coverage of applications, algorithms, and examples, and its inclusion of many proofs explain and reinforce the material. Its traditional organization makes it a suitable text for several courses. Attention to contemporary topics such as key cryptosystems and coding theory makes the text current. It is flexible enough to be used for courses in applied algebra or modern (abstract) algebra.
Author: Raina Robeva
Publisher: Academic Press
ISBN: 0128012714
Category : Mathematics
Languages : en
Pages : 383
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Book Description
Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. - Examines significant questions in modern biology and their mathematical treatments - Presents important mathematical concepts and tools in the context of essential biology - Features material of interest to students in both mathematics and biology - Presents chapters in modular format so coverage need not follow the Table of Contents - Introduces projects appropriate for undergraduate research - Utilizes freely accessible software for visualization, simulation, and analysis in modern biology - Requires no calculus as a prerequisite - Provides a complete Solutions Manual - Features a companion website with supplementary resources
Author: Larry J. Gerstein
Publisher: W H Freeman & Company
ISBN: 9780716718048
Category : Algebra, Abstract.
Languages : en
Pages : 413
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Book Description
Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.
Author: Stephan Foldes
Publisher: John Wiley & Sons
ISBN: 1118031431
Category : Mathematics
Languages : en
Pages : 362
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Book Description
Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.
Author: William J. Gilbert
Publisher: Wiley-Interscience
ISBN: 9780471235439
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Blending the theoretical with the practical in the instruction of modern algebra "There is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable addition to undergraduate mathematics and computer science libraries." –Choice Modern algebra guides are often structured from the point of view of the subject’s intrinsic interest, offering only vague promises of practical applications in later courses or more sophisticated texts. William Gilbert’s classic Modern Algebra with Applications, however, incorporates the applications of modern algebra throughout its authoritative treatment of the subject, not only effectively holding his readers’ interest but also creating a more seamless method of instruction. The book covers the full complement of group, ring, and field theory typically contained in a standard modern algebra course. Numerous examples are included in each chapter, and answers to odd-numbered exercises are appended in the back. Chapter topics include: Boolean Algebras, Groups, Quotient Groups, Symmetry Groups in Three Dimensions, Polya-Burnside Method of Enumeration, Monoids and Machines, Rings and Fields, Polynomial and Euclidean Rings, Quotient Rings, Field Extensions, Latin Squares, Geometrical Constructions, Error-Correcting Codes. Modern Algebra with Applications remains an ideal companion to upper undergraduate and graduate level algebra courses.
Author: D. S. Malik
Publisher: Course Technology Ptr
ISBN: 9780619212858
Category : Computers
Languages : en
Pages : 905
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Book Description
Teaches students the mathematical foundations of computer science, including logic, Boolean algebra, basic graph theory, finite state machines, grammars and algorithms, and helps them understand mathematical reasoning for reading, comprehension and construction of mathematical arguments.
Author: Bernard Kolman
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 488
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Book Description
This text has been designed as a complete introduction to discrete mathematics, primarily for computer science majors in either a one or two semester course. The topics addressed are of genuine use in computer science, and are presented in a logically coherent fashion. The material has been organized and interrelated to minimize the mass of definitions and the abstraction of some of the theory. For example, relations and directed graphs are treated as two aspects of the same mathematical idea. Whenever possible each new idea uses previously encountered material, and then developed in such a way that it simplifies the more complex ideas that follow.
Author: Serge Lang
Publisher: Addison-Wesley Longman
ISBN:
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Author: Ken Levasseur
Publisher: Lulu.com
ISBN: 1105559297
Category : Computers
Languages : en
Pages : 574
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Book Description
''In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes at Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).''--
Author: Thomas Judson
Publisher: Orthogonal Publishing L3c
ISBN: 9781944325190
Category :
Languages : en
Pages : 0
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Book Description
Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
