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| Author | : George Xian-Zhi Yuan |
| Publisher | : CRC Press |
| Total Pages | : 648 |
| Release | : 1999-02-09 |
| Genre | : Mathematics |
| ISBN | : 9780824700317 |
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.
| Author | : S.P. Singh |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 231 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 9401588228 |
The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies. Audience: This book will be of interest to graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets and related geometric topics and game theory.
| Author | : Karel Hrbacek |
| Publisher | : CRC Press |
| Total Pages | : 310 |
| Release | : 2017-12-19 |
| Genre | : Mathematics |
| ISBN | : 1482276852 |
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.
| Author | : Abul Hasan Siddiqi |
| Publisher | : CRC Press |
| Total Pages | : 536 |
| Release | : 2003-09 |
| Genre | : Mathematics |
| ISBN | : 0824756622 |
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.
| Author | : Regina S. Burachik |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 237 |
| Release | : 2010-11-25 |
| Genre | : Mathematics |
| ISBN | : 1441904379 |
This book presents some 20 papers describing recent developments in advanced variational analysis, optimization, and control systems, especially those based on modern variational techniques and tools of generalized differentiation.
| Author | : Ronghua Li |
| Publisher | : CRC Press |
| Total Pages | : 470 |
| Release | : 2000-01-03 |
| Genre | : Mathematics |
| ISBN | : 9780824703301 |
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.
| Author | : G. S. Ladde |
| Publisher | : CRC Press |
| Total Pages | : 352 |
| Release | : 2003-12-05 |
| Genre | : Mathematics |
| ISBN | : 9780203027028 |
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
| Author | : Martin Vath |
| Publisher | : CRC Press |
| Total Pages | : 366 |
| Release | : 2000-01-03 |
| Genre | : Mathematics |
| ISBN | : 9780824703424 |
"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."
| Author | : Benjamin Fine |
| Publisher | : CRC Press |
| Total Pages | : 338 |
| Release | : 1999-07-27 |
| Genre | : Mathematics |
| ISBN | : 9780824703196 |
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.
| Author | : Ravi P. Agarwal |
| Publisher | : CRC Press |
| Total Pages | : 400 |
| Release | : 2004-08-30 |
| Genre | : Mathematics |
| ISBN | : 0203025741 |
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
