Books in the Chapman Hall/CRC Mathematics Series series
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Designed for advanced undergraduate or beginning graduate students, this book provides a complete introduction to computability theory. It includes material on hyperarithmetical and Borel sets as well as more material on computability of structures, Pi-0-1 classes, and computabil...ity in science.
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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 a...lgebraic curves, and their application to asymptotes and boundedness.
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Written by one of the world's leading popularizers of mathematics, this book is suitable for undergraduate students of mathematics. It offers an introductory chapter on the nature of mathematics, a chapter on complex numbers, and a discussion of formal symbolic logic. It helps th...e students to transitioning from calculus to higher mathematics.
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Network optimization has become an increasingly important topic for study particularly in computer science applications. This book introduces and develops the mathematics of the subject, and is intended for graduates and postgraduates in mathematics, operations research and compu...ter science.
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Offers an introduction to functions of two variables important to careers both within and outside of mathematics. This book includes a section on tangent lines, emphasis on the chain rule, a rearrangement of several chapters, refined examples, and exercises. It maintains a balanc...e between intuition, explanation, methodology, and justification.
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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.
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The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to prov...ide an even more satisfying first course in abstract algebra.
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In addition to the Introduction to Analysis chapters contained in previous editions, this edition presents two new chapters that give an introduction to Abstract Algebra via group theory. While this is a standard topic and there are many texts on group theory, this is a taster as... an introduction to more abstract reasoning. Additional material has been added to the chapters Counting and Choosing and More on Sets. The book also contains new exercises with solutions to the odd-numbered ones.
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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 solu...tions.
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This textbook is aimed at undergraduates being introduced to integration theory. Extensive examples and exercises are included.
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