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Chapman & Hall/CRC Pure and Applied Mathematics


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Matrix Theory: From Generalized Inverses to Jordan Form

Matrix Theory: From Generalized Inverses to Jordan Form

1st Edition

Robert Piziak, P.L. Odell
September 19, 2019

In 1990, the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra...

Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition

Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition

3rd Edition

Jane Cronin
September 05, 2019

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as...

Algorithmic Lie Theory for Solving Ordinary Differential Equations

Algorithmic Lie Theory for Solving Ordinary Differential Equations

1st Edition

Fritz Schwarz
September 05, 2019

Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved. But with the advent of computer algebra programs, it...

A First Graduate Course in Abstract Algebra

A First Graduate Course in Abstract Algebra

1st Edition

W.J. Wickless
September 05, 2019

Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both...

A Primer of Algebraic Geometry: Constructive Computational Methods

A Primer of Algebraic Geometry: Constructive Computational Methods

1st Edition

Huishi Li, Freddy Van Oystaeyen
September 05, 2019

"Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis,...

Classification of Lipschitz Mappings

Classification of Lipschitz Mappings

1st Edition

Łukasz Piasecki
June 19, 2019

Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical...

Measure and Integral: An Introduction to Real Analysis, Second Edition

Measure and Integral: An Introduction to Real Analysis, Second Edition

2nd Edition

Richard L. Wheeden
April 24, 2015

Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on...

The Separable Galois Theory of Commutative Rings

The Separable Galois Theory of Commutative Rings

2nd Edition

Andy R. Magid
July 14, 2014

The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly...

Quadratic Irrationals: An Introduction to Classical Number Theory

Quadratic Irrationals: An Introduction to Classical Number Theory

1st Edition

Franz Halter-Koch
June 17, 2013

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic...

Geomathematically Oriented Potential Theory

Geomathematically Oriented Potential Theory

1st Edition

Willi Freeden, Christian Gerhards
October 30, 2012

As the Earth`s surface deviates from its spherical shape by less than 0.4 percent of its radius and today’s satellite missions collect their gravitational and magnetic data on nearly spherical orbits, sphere-oriented mathematical methods and tools play important roles in studying the Earth’s...

Dynamic Programming: Foundations and Principles, Second Edition

Dynamic Programming: Foundations and Principles, Second Edition

2nd Edition

Moshe Sniedovich
September 10, 2010

Incorporating a number of the author’s recent ideas and examples, Dynamic Programming: Foundations and Principles, Second Edition presents a comprehensive and rigorous treatment of dynamic programming. The author emphasizes the crucial role that modeling plays in understanding this area. He also...

Topological Vector Spaces

Topological Vector Spaces

2nd Edition

Lawrence Narici, Edward Beckenstein
July 26, 2010

With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn–Banach theorem. This edition explores the theorem’s connection with the axiom of choice, discusses the uniqueness of Hahn–Banach...

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