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This edition has been revised and expanded, particularly the material on rings and fields. The text is written for the student encountering abstract algebra for the first time. It includes many worked examples and each chapter contains a set of graded exercises, with partial solutions.
An introduction to linear algebra, suitable for students of science, engineering, economics,and statistics who are not maths specialists, but need this material for their work. The book discusses systems of linear equations and their solutions; and provides application for the linear algebra.
Offers an introduction to contemporary computability theory, techniques, and results. This book places the basic concepts and techniques of computability theory in their historical, philosophical and logical context. It includes a chapter that explores a variety of computability applications to mathematics and science.
Builds the foundation in matrix algebra needed by freshman students in mathematics, physics, and computer science and by upper-level business and social science students. This book presents the material with pedagogical clarity, many figures and diagrams, and interrelated examples.
Introducing the reader to the basics of coding theory, this text covers practical and theoretical computing and problem-solving. Number theory and combinatorics are treated from scratch and coding theory is discussed without the use of group theory or finite fields.
Discusses the qualitative properties of dynamical systems including both differential equations and maps. Providing numerous exercises, the authors assume that the reader has access to a microcomputer but significant computing power is not required.
An introduction to a number of interesting and important topics in algebraic combinatorics, written to be accessible to beginning graduate students. The first half introduces the characteristic and matchings polynomial of a graph.
This textbook is aimed at undergraduates being introduced to integration theory. Extensive examples and exercises are included.
This text covers both the basics and more advanced techniques of algebraic coding theory. It is suitable for a first course on coding theory and includes many worked examples.
Builds the foundation in matrix algebra needed by freshman students in mathematics, physics, and computer science and by upper-level business and social science students. This book presents the material with pedagogical clarity, many figures and diagrams, and interrelated examples.
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