A Unified Theory Of Nonlinear Operator And Evolution Equations With Applications

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Generalized Difference Methods for Differential Equations

Author : Ronghua Li,Zhongying Chen,Wei Wu
Publisher : CRC Press
Page : 472 pages
File Size : 40,8 Mb
Release : 2000-01-03
Category : Mathematics
ISBN : 9781482270211

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Generalized Difference Methods for Differential Equations by Ronghua Li,Zhongying Chen,Wei Wu Pdf

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

Author : G. S. Ladde,M. Sambandham
Publisher : CRC Press
Page : 352 pages
File Size : 51,8 Mb
Release : 2003-12-05
Category : Mathematics
ISBN : 0203027027

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Stochastic versus Deterministic Systems of Differential Equations by G. S. Ladde,M. Sambandham Pdf

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

Degenerate Differential Equations in Banach Spaces

Author : Angelo Favini,Atsushi Yagi
Publisher : CRC Press
Page : 336 pages
File Size : 50,7 Mb
Release : 1998-09-10
Category : Mathematics
ISBN : 9781482276022

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Degenerate Differential Equations in Banach Spaces by Angelo Favini,Atsushi Yagi Pdf

This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the an

Inequalities for Finite Difference Equations

Author : B.G. Pachpatte
Publisher : CRC Press
Page : 546 pages
File Size : 44,7 Mb
Release : 2001-12-13
Category : Mathematics
ISBN : 0824706579

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Inequalities for Finite Difference Equations by B.G. Pachpatte Pdf

"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."

Nonoscillation and Oscillation Theory for Functional Differential Equations

Author : Ravi P. Agarwal,Martin Bohner,Wan-Tong Li
Publisher : CRC Press
Page : 400 pages
File Size : 47,7 Mb
Release : 2004-08-30
Category : Mathematics
ISBN : 9780203025741

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Nonoscillation and Oscillation Theory for Functional Differential Equations by Ravi P. Agarwal,Martin Bohner,Wan-Tong Li Pdf

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

Linear and Integer Programming

Author : Gerard Sierksma
Publisher : CRC Press
Page : 639 pages
File Size : 53,6 Mb
Release : 2001-11-01
Category : Mathematics
ISBN : 9781482294712

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Linear and Integer Programming by Gerard Sierksma Pdf

"Combines the theoretical and practical aspects of linear and integer programming. Provides practical case studies and techniques, including rounding-off, column-generation, game theory, multiobjective optimization, and goal programming, as well as real-world solutions to the transportation and transshipment problem, project scheduling, and decentralization."

Cogalois Theory

Author : Toma Albu
Publisher : CRC Press
Page : 368 pages
File Size : 47,6 Mb
Release : 2002-10-16
Category : Mathematics
ISBN : 0824709497

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Cogalois Theory by Toma Albu Pdf

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 exercises and an extensive bibliography, this book presents a compact and complete review of basic field theory, considers the Vahlen-Capelli Criterion, investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions, discusses field extensions that are simultaneously Galois and G-Cogalois, and presents nice applications to elementary field arithmetic.

Point Set Theory

Author : Morgan
Publisher : Routledge
Page : 208 pages
File Size : 51,7 Mb
Release : 2018-04-27
Category : Mathematics
ISBN : 9781351423793

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Point Set Theory by Morgan Pdf

Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets. This important reference/text bringstogether in a single theoretical framework the properties common to these classifications.Providing a clear, thorough overview and analysis of the field, Point Set Theoryutilizes the axiomatically determined notion of a category base for extending generaltopological theorems to a higher level of abstraction ... axiomatically unifies analogiesbetween Baire category and Lebesgue measure . .. enhances understanding of thematerial with numerous examples and discussions of abstract concepts ... and more.Imparting a solid foundation for the modem theory of real functions and associated areas,this authoritative resource is a vital reference for set theorists, logicians, analysts, andresearch mathematicians involved in topology, measure theory, or real analysis. It is anideal text for graduate mathematics students in the above disciplines who havecompleted undergraduate courses in set theory and real analysis.

Coding Theory and Cryptography

Author : D.C. Hankerson,Gary Hoffman,D.A. Leonard,Charles C. Lindner,K.T. Phelps,C.A. Rodger,J.R. Wall
Publisher : CRC Press
Page : 370 pages
File Size : 45,7 Mb
Release : 2000-08-04
Category : Computers
ISBN : 9780824704650

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Coding Theory and Cryptography by D.C. Hankerson,Gary Hoffman,D.A. Leonard,Charles C. Lindner,K.T. Phelps,C.A. Rodger,J.R. Wall Pdf

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offering revised and updated material on the Berlekamp-Massey decoding algorithm and convolutional codes. Introducing the mathematics as it is needed and providing exercises with solutions, this edition includes an extensive section on cryptography, designed for an introductory course on the subject.

Classical Theory of Arithmetic Functions

Author : R Sivaramakrishnan
Publisher : Routledge
Page : 205 pages
File Size : 49,8 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9781351460514

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Classical Theory of Arithmetic Functions by R Sivaramakrishnan Pdf

This volume focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. It contains many structure theorems basic to the study of arithmetic functions, including several previously unpublished proofs. The author is head of the Dept. of Mathemati

Measure Theory and Integration

Author : M.M. Rao
Publisher : CRC Press
Page : 790 pages
File Size : 54,7 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9781482258103

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Measure Theory and Integration by M.M. Rao Pdf

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 theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals contains extended discussions on the four basic results of Banach spaces presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.

Continuum Theory

Author : Sam Nadler
Publisher : CRC Press
Page : 349 pages
File Size : 47,9 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781482277166

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Continuum Theory by Sam Nadler Pdf

A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.

Functional Equations and Modelling in Science and Engineering

Author : Enrique Castillo
Publisher : CRC Press
Page : 354 pages
File Size : 54,5 Mb
Release : 1992-05-27
Category : Mathematics
ISBN : 082478717X

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Functional Equations and Modelling in Science and Engineering by Enrique Castillo Pdf

Provides engineers and applied scientists with some selected results of functional equations and their applications, with the intention of changing the way they think about mathematical modelling. Many of the proofs are simplified or omitted, so as not to bore or confuse engineers. Functional equati