Bøger i Chapman Hall/CRC Mathematics Series serien

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.

Integrating parametric, algebraic, and projective curves, this title presents topics range from conics, higher algebraic and transcendental curves, to the properties of parametric curves, the classification of limacons, envelopes, and to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness.

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.

Presents general programming principles using Maple as an example of a programming language. This book addresses the basic Maple functions accessible for interactive use then moves to actual programming, discussing the programming facilities that Maple provides, including control structures, data types, graphics, spreadsheets, and text processing.

Introduces the foundations of discrete mathematics and develops basic computational skills using Maple. This book places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It enables readers to build a foundation in discrete mathematics, and gain experience with algebraic computing.

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 undergraduate textbook suitable for linear algebra courses. This text develops the linear algebra hand in hand with the geometry of linear (or affine) spaces in such a way that the understanding of each reinforces the other.

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.

An overview of abstract analysis and the language of normed linear spaces, which lie at the heart of modern mathematics. It gives an introduction to the basic notions of convergence of sequences, continuity of functions, open and closed set, compactness, completeness and separability.