KKM Theory and Applications in Nonlinear Analysis

KKM Theory and Applications in Nonlinear Analysis

Author: George Xian-Zhi Yuan

Publisher: CRC Press

Published: 1999-02-09

Total Pages: 648

ISBN-13: 9780824700317

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This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.


Introduction to Set Theory, Revised and Expanded

Introduction to Set Theory, Revised and Expanded

Author: Karel Hrbacek

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 310

ISBN-13: 1482276852

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Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.


Applied Functional Analysis

Applied Functional Analysis

Author: Abul Hasan Siddiqi

Publisher: CRC Press

Published: 2003-09

Total Pages: 536

ISBN-13: 0824756622

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The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and numerical methods in infinite-dimensional spaces. This reference highlights critical studies in projection theorem, Riesz representation theorem, and properties of operators in Hilbert space and covers special classes of optimization problems. Supported by 2200 display equations, this guide incorporates hundreds of up-to-date citations.


Generalized Difference Methods for Differential Equations

Generalized Difference Methods for Differential Equations

Author: Ronghua Li

Publisher: CRC Press

Published: 2000-01-03

Total Pages: 470

ISBN-13: 9780824703301

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This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.


Stochastic versus Deterministic Systems of Differential Equations

Stochastic versus Deterministic Systems of Differential Equations

Author: G. S. Ladde

Publisher: CRC Press

Published: 2003-12-05

Total Pages: 352

ISBN-13: 9780203027028

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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 of constants, and probability distribution as its met


Volterra and Integral Equations of Vector Functions

Volterra and Integral Equations of Vector Functions

Author: Martin Vath

Publisher: CRC Press

Published: 2000-01-03

Total Pages: 366

ISBN-13: 9780824703424

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"Develops and applies topological and algebraic methods to study abstract Volterra operators and differential equations arising in models for ""real-world"" phenomena in physics, biology, and a host of other disciplines. Presents completely new results that appear in book form for the first time."


Algebraic Generalizations of Discrete Groups

Algebraic Generalizations of Discrete Groups

Author: Benjamin Fine

Publisher: CRC Press

Published: 1999-07-27

Total Pages: 338

ISBN-13: 9780824703196

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A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.


Nonoscillation and Oscillation Theory for Functional Differential Equations

Nonoscillation and Oscillation Theory for Functional Differential Equations

Author: Ravi P. Agarwal

Publisher: CRC Press

Published: 2004-08-30

Total Pages: 400

ISBN-13: 0203025741

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This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq


Hopf Algebras in Noncommutative Geometry and Physics

Hopf Algebras in Noncommutative Geometry and Physics

Author: Stefaan Caenepeel

Publisher: CRC Press

Published: 2019-05-07

Total Pages: 348

ISBN-13: 0429530072

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This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the