Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative

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Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

Gennadii V. Demidenko,Stanislav V. Upsenskii
Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative Book PDF

Author : Gennadii V. Demidenko,Stanislav V. Upsenskii
Publisher : CRC Press
Page : 516 pages
File Size : 52,5 Mb
Release : 2003-04-25
Category : Mathematics
ISBN : 9780203911433

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Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative by Gennadii V. Demidenko,Stanislav V. Upsenskii Pdf

Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, t

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

Gennadii V. Demidenko,Stanislav V. Upsenskii
Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative Book PDF

Author : Gennadii V. Demidenko,Stanislav V. Upsenskii
Publisher : CRC Press
Page : 506 pages
File Size : 51,5 Mb
Release : 2003-04-25
Category : Mathematics
ISBN : 9780824748517

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Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative by Gennadii V. Demidenko,Stanislav V. Upsenskii Pdf

This text introduces a classification of equations and systems not solved with respect to the higher-order derivative, and studies boundary-value problems for these classes of equations. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid.

Non-Linear Differential Equations and Dynamical Systems

Luis Manuel Braga da Costa Campos
Non Linear Differential Equations and Dynamical Systems Book PDF

Author : Luis Manuel Braga da Costa Campos
Publisher : CRC Press
Page : 220 pages
File Size : 42,8 Mb
Release : 2019-11-05
Category : Mathematics
ISBN : 9780429639616

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Non-Linear Differential Equations and Dynamical Systems by Luis Manuel Braga da Costa Campos Pdf

Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set). The first chapter considers non-linear differential equations of first order, including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials. The second chapter in the book starts with linear oscillators with coefficients varying with time, including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance, amplitude jumps, and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions. Presents general first-order differential equations including non-linear like the Ricatti equation Discusses differentials of the first or higher order in two or more variables Includes discretization of differential equations as finite difference equations Describes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methods Examines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions

Stochastic versus Deterministic Systems of Differential Equations

G. S. Ladde,M. Sambandham
Stochastic versus Deterministic Systems of Differential Equations Book PDF

Author : G. S. Ladde,M. Sambandham
Publisher : CRC Press
Page : 352 pages
File Size : 54,6 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

The Mathematical Theory of Tone Systems

Jan Haluska
The Mathematical Theory of Tone Systems Book PDF

Author : Jan Haluska
Publisher : CRC Press
Page : 380 pages
File Size : 52,7 Mb
Release : 2003-12-19
Category : Mathematics
ISBN : 9781482276381

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The Mathematical Theory of Tone Systems by Jan Haluska Pdf

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 tuning to superparticular pentatonics. Hundreds of exa

Semigroups of Operators -Theory and Applications

Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz
Semigroups of Operators Theory and Applications Book PDF

Author : Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz
Publisher : Springer
Page : 338 pages
File Size : 46,5 Mb
Release : 2014-11-20
Category : Mathematics
ISBN : 9783319121451

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Semigroups of Operators -Theory and Applications by Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz Pdf

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.

MATHEMATICAL REALITY

Linfan MAO
MATHEMATICAL REALITY Book PDF

Author : Linfan MAO
Publisher : Infinite Study
Page : 507 pages
File Size : 42,5 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 8210379456XXX

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MATHEMATICAL REALITY by Linfan MAO Pdf

A thing is complex, and hybrid with other things sometimes. Then, what is the reality of a thing? The reality of a thing is its state of existed, exists, or will exist in the world, independent on the understanding of human beings, which implies that the reality holds on by human beings maybe local or gradual, not the reality of a thing. Hence, to hold on the reality of things is the main objective of science in the history of human development.

Measure Theory and Integration

M.M. Rao
Measure Theory and Integration Book PDF

Author : M.M. Rao
Publisher : CRC Press
Page : 388 pages
File Size : 54,5 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9781351991483

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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.

Abstract Algebra

Claudia Menini,Freddy Van Oystaeyen
Abstract Algebra Book PDF

Author : Claudia Menini,Freddy Van Oystaeyen
Publisher : CRC Press
Page : 784 pages
File Size : 44,8 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351991469

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Abstract Algebra by Claudia Menini,Freddy Van Oystaeyen Pdf

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. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.

Non-Unique Factorizations

Alfred Geroldinger,Franz Halter-Koch
Non Unique Factorizations Book PDF

Author : Alfred Geroldinger,Franz Halter-Koch
Publisher : CRC Press
Page : 723 pages
File Size : 46,5 Mb
Release : 2006-01-13
Category : Mathematics
ISBN : 9781420003208

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Non-Unique Factorizations by Alfred Geroldinger,Franz Halter-Koch Pdf

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 literature. For the first time, Non-Unique Factoriza

A First Graduate Course in Abstract Algebra

William Jennings Wickless,Zuhair Nashed
A First Graduate Course in Abstract Algebra Book PDF

Author : William Jennings Wickless,Zuhair Nashed
Publisher : CRC Press
Page : 232 pages
File Size : 43,5 Mb
Release : 2019-09-27
Category : Mathematics
ISBN : 9780824757182

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A First Graduate Course in Abstract Algebra by William Jennings Wickless,Zuhair Nashed Pdf

Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.

Applied Functional Analysis

Abul Hasan Siddiqi
Applied Functional Analysis Book PDF

Author : Abul Hasan Siddiqi
Publisher : CRC Press
Page : 614 pages
File Size : 40,6 Mb
Release : 2003-09-19
Category : Mathematics
ISBN : 0203913019

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Applied Functional Analysis by Abul Hasan Siddiqi Pdf

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 n

Global Optimization Using Interval Analysis

Eldon Hansen,G. William Walster
Global Optimization Using Interval Analysis Book PDF

Author : Eldon Hansen,G. William Walster
Publisher : CRC Press
Page : 528 pages
File Size : 54,6 Mb
Release : 2003-12-19
Category : Mathematics
ISBN : 0203026926

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Global Optimization Using Interval Analysis by Eldon Hansen,G. William Walster Pdf

Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies algorithm construction and increases generality of interval arithmetic. This Second Edition contains an up-to-date discussion of interval methods for solving systems of nonlinear equations and global optimization problems. It expands and improves various aspects of its forerunner and features significant new discussions, such as those on the use of consistency methods to enhance algorithm performance. Provided algorithms are guaranteed to find and bound all solutions to these problems despite bounded errors in data, in approximations, and from use of rounded arithmetic.

Radical Theory of Rings

J.W. Gardner,R. Wiegandt
Radical Theory of Rings Book PDF

Author : J.W. Gardner,R. Wiegandt
Publisher : CRC Press
Page : 412 pages
File Size : 55,6 Mb
Release : 2003-11-19
Category : Mathematics
ISBN : 0203913353

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Radical Theory of Rings by J.W. Gardner,R. Wiegandt Pdf

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 decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.

Infinite Divisibility of Probability Distributions on the Real Line

Fred W. Steutel,Klaas van Harn
Infinite Divisibility of Probability Distributions on the Real Line Book PDF

Author : Fred W. Steutel,Klaas van Harn
Publisher : CRC Press
Page : 562 pages
File Size : 41,8 Mb
Release : 2003-10-03
Category : Mathematics
ISBN : 9780203014127

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Infinite Divisibility of Probability Distributions on the Real Line by Fred W. Steutel,Klaas van Harn Pdf

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 examples to correspond with all major chapter topics and reviews infinite divisibility in light of the central limit problem. It contrasts infinite divisibility with finite divisibility, discusses the preservation of infinite divisibility under mixing for many classes of distributions, and investigates self-decomposability and stability on the nonnegative reals, nonnegative integers, and the reals.