Perturbation Techniques In Mathematics Engineering And Physics

Author : Richard Ernest Bellman
Publisher : Courier Corporation
ISBN 13 : 9780486432588
Total Pages : 146 pages
Book Rating : 4.80/5 ( download)

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Download or read book Perturbation Techniques in Mathematics, Engineering and Physics written by Richard Ernest Bellman and published by Courier Corporation. This book was released on 2003-01-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.

Author : James G. Simmonds
Publisher : Courier Corporation
ISBN 13 : 0486315584
Total Pages : 162 pages
Book Rating : 4.84/5 ( download)

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Download or read book A First Look at Perturbation Theory written by James G. Simmonds and published by Courier Corporation. This book was released on 2013-07-04 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.

Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.51/5 ( download)

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Download or read book Perturbation Techniques in Mathematics, Physics, and Engineering written by Richard Bellman and published by . This book was released on 1972 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Carl M. Bender
Publisher : Springer Science & Business Media
ISBN 13 : 1475730691
Total Pages : 605 pages
Book Rating : 4.92/5 ( download)

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Download or read book Advanced Mathematical Methods for Scientists and Engineers I written by Carl M. Bender and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Author : İlkay Bakırtaş
Publisher : BoD – Books on Demand
ISBN 13 : 1789842557
Total Pages : 170 pages
Book Rating : 4.55/5 ( download)

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Download or read book Perturbation Methods with Applications in Science and Engineering written by İlkay Bakırtaş and published by BoD – Books on Demand. This book was released on 2018-10-17 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.

Author : Anatoli V. Skorokhod
Publisher : Springer Science & Business Media
ISBN 13 : 0387224467
Total Pages : 500 pages
Book Rating : 4.66/5 ( download)

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Download or read book Random Perturbation Methods with Applications in Science and Engineering written by Anatoli V. Skorokhod and published by Springer Science & Business Media. This book was released on 2007-06-21 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.

Author : R.S. Johnson
Publisher : Springer Science & Business Media
ISBN 13 : 0387232176
Total Pages : 305 pages
Book Rating : 4.71/5 ( download)

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Download or read book Singular Perturbation Theory written by R.S. Johnson and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established. The purpose of the set of volumes to which the present one belongs is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume provides a detailed introduction to a specific subject area of current importance that is summarized below, and then goes beyond this by reviewing recent contributions, and so serving as a valuable reference source. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems would otherwise have been impossible.

Author : E. J. Hinch
Publisher : Cambridge University Press
ISBN 13 : 9780521378970
Total Pages : 178 pages
Book Rating : 4.74/5 ( download)

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Download or read book Perturbation Methods written by E. J. Hinch and published by Cambridge University Press. This book was released on 1991-10-25 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.

Author : Mark H. Holmes
Publisher :
ISBN 13 : 9781461253488
Total Pages : 356 pages
Book Rating : 4.89/5 ( download)

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Download or read book Introduction to Perturbation Methods written by Mark H. Holmes and published by . This book was released on 2014-09-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : İlkay Bakırtaş
Publisher :
ISBN 13 : 9781789842562
Total Pages : 168 pages
Book Rating : 4.65/5 ( download)

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Download or read book Perturbation Methods with Applications in Science and Engineering written by İlkay Bakırtaş and published by . This book was released on 2018 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.