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Operational Calculus and Related Topics, Prudnikov, A. P. , Sk?rnik, K.A.


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Цена: 65320.00T
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Автор: Prudnikov, A. P. , Sk?rnik, K.A.
Название:  Operational Calculus and Related Topics
ISBN: 9780367390495
Издательство: Taylor&Francis
Классификация:

ISBN-10: 0367390493
Обложка/Формат: Paperback
Страницы: 420
Вес: 1.71 кг.
Дата издания: 20.12.2019
Серия: Analytical Methods and Special Functions
Язык: English
Размер: 177 x 253 x 27
Читательская аудитория: Tertiary education (us: college)
Основная тема: Differential Equations
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Европейский союз
Описание:

Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advances in the field.

Combining the best features of a textbook and a monograph, this volume presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. The text examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing new developments in the field. Among the historical methods considered are Oliver Heavisides algebraic operational calculus and Paul Diracs delta function. Other discussions deal with the conditions for the existence of integral transforms, Jan Mikusińskis theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions.

Benefits...

- Discusses theory and applications of integral transforms

- Gives inversion, complex-inversion, and Diracs delta distribution formulas, among others

- Offers a short survey of actual results of finite integral transforms, in particular convolution theorems

Because Operational Calculus and Related Topics provides examples and illustrates the applications to various disciplines, it is an ideal reference for mathematicians, physicists, scientists, engineers, and students.



Differential Equations and Linear Algebra

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
Рейтинг:
Цена: 60180.00 T
Наличие на складе: Невозможна поставка.
Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Numerical solution of differential equations

Автор: li zhilin
Название: Numerical solution of differential equations
ISBN: 1107163226 ISBN-13(EAN): 9781107163225
Издательство: Cambridge Academ
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Цена: 89760.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This practical and concise guide to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. With few prerequisites, the book is accessible to readers from a range of disciplines across science and engineering. Well-tested MATLAB (R) codes are available online.

Difference Equations

Автор: Mickens
Название: Difference Equations
ISBN: 1138894230 ISBN-13(EAN): 9781138894235
Издательство: Taylor&Francis
Рейтинг:
Цена: 65320.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced topics, this edition continues to cover general, linear, first-, second-, and n-th order difference equations; nonlinear equations that may be reduced to linear equations; and partial difference equations.

New to the Third Edition

  • New chapter on special topics, including discrete Cauchy-Euler equations; gamma, beta, and digamma functions; Lambert W-function; Euler polynomials; functional equations; and exact discretizations of differential equations
  • New chapter on the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences
  • Additional problems in all chapters
  • Expanded bibliography to include recently published texts related to the subject of difference equations

Suitable for self-study or as the main text for courses on difference equations, this book helps readers understand the fundamental concepts and procedures of difference equations. It uses an informal presentation style, avoiding the minutia of detailed proofs and formal explanations.


Topics And Methods In Q-series

Автор: Mc Laughlin James
Название: Topics And Methods In Q-series
ISBN: 9813223367 ISBN-13(EAN): 9789813223363
Издательство: World Scientific Publishing
Рейтинг:
Цена: 81310.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heine's transformation, the Jacobi triple product identity, Ramanujan's 1-psi-1 summation formula, Bailey's 6-psi-6 summation formula and the Rogers-Fine identity, the book goes on to delve more deeply into important topics such as Bailey- and WP-Bailey pairs and chains, q-continued fractions, and mock theta functions. There are also chapters on other topics such as Lambert series and combinatorial proofs of basic hypergeometric identities.

The book could serve as a textbook for the subject at the graduate level and as a textbook for a topic course at the undergraduate level (earlier chapters). It could also serve as a reference work for researchers in the area.


Topics And Methods In Q-series

Автор: Mc Laughlin James
Название: Topics And Methods In Q-series
ISBN: 9813224177 ISBN-13(EAN): 9789813224179
Издательство: World Scientific Publishing
Рейтинг:
Цена: 137280.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heine's transformation, the Jacobi triple product identity, Ramanujan's 1-psi-1 summation formula, Bailey's 6-psi-6 summation formula and the Rogers-Fine identity, the book goes on to delve more deeply into important topics such as Bailey- and WP-Bailey pairs and chains, q-continued fractions, and mock theta functions. There are also chapters on other topics such as Lambert series and combinatorial proofs of basic hypergeometric identities.

The book could serve as a textbook for the subject at the graduate level and as a textbook for a topic course at the undergraduate level (earlier chapters). It could also serve as a reference work for researchers in the area.


Lectures on Selected Topics in Mathematical Physics: Introduction to Lie Theory with Applications

Автор: William A. Schwalm
Название: Lectures on Selected Topics in Mathematical Physics: Introduction to Lie Theory with Applications
ISBN: 1681744481 ISBN-13(EAN): 9781681744483
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 41580.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to Lie Theory for first year graduate students and professional physicists who may not have across the theory in their studies. In particular, it is a summary overview of the theory of finite groups, a brief description of a manifold, and then an informal development of the theory of one-parameter Lie groups, especially as they apply to ordinary differential equations. The treatment is informal, but systematic and reasonably self-contained, as it assumes a familiarity with basic physics and applied calculus, but it does not assume additional mathematical training. Interested readers should have a fair chance of finding symmetries of a second order differential equation and should be able to use it to reduce the order of the differential equation.

Topological Complexity and Related Topics

Автор: Mark Grant, Gregory Lupton, Lucile Vandembroucq
Название: Topological Complexity and Related Topics
ISBN: 1470434369 ISBN-13(EAN): 9781470434366
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 108680.00 T
Наличие на складе: Невозможна поставка.
Описание: This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach.Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the Lusternik-Schnirelmann category and the Schwarz genus.This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic at the interface of pure mathematics and engineering.

Nonlinear Programming: An Introduction

Автор: Peter Zornig
Название: Nonlinear Programming: An Introduction
ISBN: 3110315270 ISBN-13(EAN): 9783110315271
Издательство: Walter de Gruyter
Цена: 61920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This book is an introduction to nonlinear programming. It deals with the theoretical foundations and solution methods, beginning with the classical procedures and reaching up to -modern- methods like trust region methods or procedures for nonlinear and global optimization. A comprehensive bibliography including diverse web sites with information about nonlinear programming, in particular software, is presented. Without sacrificing the necessary mathematical rigor, excessive formalisms are avoided. Several examples, exercises with detailed solutions, and applications are provided, making the text adequate for individual studies.

The book is written for students from the fields of applied mathematics, engineering, economy, and computation.


Operational Calculus

Автор: Gregors Krabbe
Название: Operational Calculus
ISBN: 1461343941 ISBN-13(EAN): 9781461343943
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In 1949 JAN MIKUSINSKI indicated how the un- necessary restrictions required by the Laplace transform can be avoided by a direct approach, thereby gaining in notational as well as conceptual simplicity; this approach is carefully described in MIKUSINSKI`s textbook "Operational Calculus" [M 1].

Painleve Equations and Related Topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011

Автор: Alexander D. Bruno, Alexander B. Batkhin
Название: Painleve Equations and Related Topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011
ISBN: 3110275589 ISBN-13(EAN): 9783110275582
Издательство: Walter de Gruyter
Рейтинг:
Цена: 185890.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics

Автор: Aaron Wootton, Jennifer Paulhus, S. Allen Broughton
Название: Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics
ISBN: 1470460254 ISBN-13(EAN): 9781470460259
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 104500.00 T
Наличие на складе: Нет в наличии.
Описание: Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.

Operational Calculus

Автор: Kosaku Yosida
Название: Operational Calculus
ISBN: 0387960473 ISBN-13(EAN): 9780387960470
Издательство: Springer
Рейтинг:
Цена: 97820.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the end of the last century, Oliver Heaviside inaugurated an operational calculus in connection with his researches in electromagnetic theory. Mikusinski`s operational calculus gives a satisfactory basis of Heaviside`s operational calculus;


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