### Measure and Integral

#### An Introduction to Real Analysis, Second Edition

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…

Hardback – 2015-04-24

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### The Separable Galois Theory of Commutative Rings, Second Edition

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…

Hardback – 2014-07-14

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Classification of Lipschitz Mappings

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…

Hardback – 2013-12-12

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Quadratic Irrationals

#### An Introduction to Classical Number Theory

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…

Hardback – 2013-06-17

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Weakly Connected Nonlinear Systems

#### Boundedness and Stability of Motion

Weakly Connected Nonlinear Systems: Boundedness and Stability of Motion provides a systematic study on the boundedness and stability of weakly connected nonlinear systems, covering theory and applications previously unavailable in book form. It contains many essential results needed for carrying…

Hardback – 2012-11-20

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Geomathematically Oriented Potential Theory

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…

Hardback – 2012-10-30

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### The Divergence Theorem and Sets of Finite Perimeter

This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration — no generalized Riemann integrals of Henstock–Kurzweil variety are involved. In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes.…

Hardback – 2012-04-12

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Uncertain Dynamical Systems

#### Stability and Motion Control

This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new…

Hardback – 2011-11-28

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Differential Equations with Maxima

Differential equations with "maxima"—differential equations that contain the maximum of the unknown function over a previous interval—adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these…

Hardback – 2011-04-28

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Dynamic Programming

#### Foundations and Principles, Second Edition

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…

Hardback – 2010-09-10

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Topological Vector Spaces, Second Edition

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…

Hardback – 2010-07-26

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Real and Complex Analysis

Presents Real & Complex Analysis Together Using a Unified ApproachA two-semester course in analysis at the advanced undergraduate or first-year graduate level Unlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified,…

Hardback – 2009-12-08

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Invariant Descriptive Set Theory

Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It…

Hardback – 2008-09-03

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Ordinary Differential Equations

#### Introduction and Qualitative Theory, Third Edition

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…

Hardback – 2007-12-14

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Algorithmic Lie Theory for Solving Ordinary Differential Equations

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…

Hardback – 2007-10-02

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, the book describes the étale local structure of such orders as well as their central singularities and finite dimensional…

Hardback – 2007-08-24

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Direct Sum Decompositions of Torsion-Free Finite Rank Groups

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich…

Hardback – 2007-03-28

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Matrix Theory

#### From Generalized Inverses to Jordan Form

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…

Hardback – 2007-02-22

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Handbook of Finite Translation Planes

The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes derived from a fundamental construction technique, an explanation of the classes of translation planes using both descriptions and construction methods, and thorough sketches of the major relevant…

Hardback – 2007-02-15

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Representation Theory and Higher Algebraic K-Theory

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. Thus, this…

Hardback – 2006-09-27

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Certain Number-Theoretic Episodes In Algebra

Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author…

Hardback – 2006-09-22

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Elements of Real Analysis

Focusing on one of the main pillars of mathematics, Elements of Real Analysis provides a solid foundation in analysis, stressing the importance of two elements. The first building block comprises analytical skills and structures needed for handling the basic notions of limits and continuity in a…

Hardback – 2006-08-21

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Frontiers in Interpolation and Approximation

Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in…

Hardback – 2006-07-20

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Classes of Modules

Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples. Often, modules with infinite Goldie dimension have finite-type dimension, making them amenable to use with type dimension, but…

Hardback – 2006-06-19

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### A Concrete Introduction to Real Analysis

Most volumes in analysis plunge students into a challenging new mathematical environment, replete with axioms, powerful abstractions, and an overriding emphasis on formal proofs. This can lead even students with a solid mathematical aptitude to often feel bewildered and discouraged by the…

Hardback – 2006-05-30

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Non-Unique Factorizations

#### Algebraic, Combinatorial and Analytic Theory

From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast…

Hardback – 2006-01-13

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Moving Shape Analysis and Control

#### Applications to Fluid Structure Interactions

Problems involving the evolution of two- and three-dimensional domains arise in many areas of science and engineering. Emphasizing an Eulerian approach, Moving Shape Analysis and Control: Applications to Fluid Structure Interactions presents valuable tools for the mathematical analysis of evolving…

Hardback – 2006-01-13

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Analysis and Approximation of Contact Problems with Adhesion or Damage

Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study…

Hardback – 2005-09-26

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Differential Forms on Singular Varieties

#### De Rham and Hodge Theory Simplified

Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on…

Hardback – 2005-08-24

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Generation of Multivariate Hermite Interpolating Polynomials

Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solutions to partial differential equations by presenting a novel approach that employs Hermite interpolating polynomials and bysupplying algorithms useful in applying this approach.Organized into three…

Hardback – 2005-08-23

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Topics on Continua

Specialized as it might be, continuum theory is one of the most intriguing areas in mathematics. However, despite being popular journal fare, few books have thoroughly explored this interesting aspect of topology. In Topics on Continua, Sergio Macías, one of the field’s leading scholars, presents…

Hardback – 2005-05-26

Chapman and Hall/CRC*Chapman & Hall/CRC Pure and Applied Mathematics*### Unilateral Contact Problems

#### Variational Methods and Existence Theorems

The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics. This book presents the state of the art in the mathematical analysis of unilateral contact problems with friction, along with a…

Hardback – 2005-03-17

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Products of Random Variables

#### Applications to Problems of Physics and to Arithmetical Functions

Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory. It uses entirely probabilistic arguments in actualizing the potential of the…

Hardback – 2004-07-20

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Abstract Algebra

#### A Comprehensive Treatment

In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one.…

Hardback – 2004-04-20

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### A First Graduate Course in Abstract Algebra

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…

Hardback – 2004-03-29

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Measure Theory and Integration, Second Edition

Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration…

Hardback – 2004-01-30

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### The Mathematical Theory of Tone Systems

The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean…

Hardback – 2003-12-19

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Stochastic versus Deterministic Systems of Differential Equations

This peerless reference/text unfurls a unified and systematic study of the two types of mathematical models of dynamic processes-stochastic and deterministic-as placed in the context of systems of stochastic differential equations. Using the tools of variational comparison, generalized variation…

Hardback – 2003-12-05

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Radical Theory of Rings

Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the…

Hardback – 2003-11-19

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Infinite Divisibility of Probability Distributions on the Real Line

Infinite Divisibility of Probability Distributions on the Real Line reassesses classical theory and presents new developments, while focusing on divisibility with respect to convolution or addition of independent random variables. This definitive, example-rich text supplies approximately 100…

Hardback – 2003-10-03

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Graph Algebras and Automata

Graph algebras possess the capacity to relate fundamental concepts of computer science, combinatorics, graph theory, operations research, and universal algebra. They are used to identify nontrivial connections across notions, expose conceptual properties, and mediate the application of methods from…

Hardback – 2003-07-08

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Linear Systems and Control

#### An Operator Perspective

Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric…

Hardback – 2003-03-27

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Geometric Function Theory in One and Higher Dimensions

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to…

Hardback – 2003-03-18

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Discrete Geometry

Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society…

Hardback – 2003-02-04

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Cogalois Theory

This volume offers a systematic, comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. The subject is somewhat dual to the very classical Galois Theory dealing with field extensions possessing a Galois correspondence. Solidly backed by over 250…

Hardback – 2002-10-16

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Inequalities for Finite Difference Equations

"A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."…

Hardback – 2001-12-13

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### The Shape of Space

#### 2nd Edition

Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe…

Hardback – 2001-12-12

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Qualitative Analysis and Synthesis of Recurrent Neural Networks

"Analyzes the behavior, design, and implementation of artificial recurrent neural networks. Offers methods of synthesis for associative memories. Evaluates the qualitative properties and limitations of neural networks. Contains practical applications for optimal system performance."…

Hardback – 2001-12-04

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Qualitative Methods in Nonlinear Dynamics

#### Novel Approaches to Liapunov's Matrix Functions

"Presents new approaches to qualitative analysis of continuous, discreteptime, and impulsive nonlinear systems via Liapunov matrix-valued functions that introduce more effective tests for solving problems of estimating the domains of asymptotic stability."…

Hardback – 2001-11-05

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*### Foundations of Translation Planes

An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and…

Hardback – 2001-07-13

CRC Press*Chapman & Hall/CRC Pure and Applied Mathematics*