Perturbation Methods For Engineers And Scientists PDF Download
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| Author | : Alan W. Bush |
| Publisher | : CRC-Press |
| Total Pages | : 320 |
| Release | : 1992-01-21 |
| Genre | : Computers |
| ISBN | : 9780849386145 |
Download Perturbation Methods for Engineers and Scientists Book in PDF, ePub and Kindle
This text provides an account of the main techniques of perturbation expansions applied to both differential equations and integral expressions. Computer programs are included to enable students to explore particular ideas, as well as realistic case studies of industrial applications.
| Author | : AlanW. Bush |
| Publisher | : Routledge |
| Total Pages | : 265 |
| Release | : 2018-05-04 |
| Genre | : Mathematics |
| ISBN | : 1351425358 |
Download Perturbation Methods for Engineers and Scientists Book in PDF, ePub and Kindle
The subject of perturbation expansions is a powerful analytical technique which can be applied to problems which are too complex to have an exact solution, for example, calculating the drag of an aircraft in flight. These techniques can be used in place of complicated numerical solutions. This book provides an account of the main techniques of perturbation expansions applied to both differential equations and integral expressions. Features include a non-rigorous treatment of the subject at undergraduate level not available in any other current text; contains computer programs to enable the student to explore particular ideas and realistic case studies of industrial applications; a number of practical examples are included in the text to enhance understanding of points raised, particularly in the areas of mechanics and fluid mechanics; presents the main techniques of perturbation expansion at a level accessible to the undergraduate student.
| Author | : Reza N. Jazar |
| Publisher | : Springer Nature |
| Total Pages | : 584 |
| Release | : 2021-07-12 |
| Genre | : Technology & Engineering |
| ISBN | : 3030734625 |
Download Perturbation Methods in Science and Engineering Book in PDF, ePub and Kindle
Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.
| Author | : Anatoli V. Skorokhod |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 500 |
| Release | : 2007-06-21 |
| Genre | : Mathematics |
| ISBN | : 0387224467 |
Download Random Perturbation Methods with Applications in Science and Engineering Book in PDF, ePub and Kindle
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 | : Carl M. Bender |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 605 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475730691 |
Download Advanced Mathematical Methods for Scientists and Engineers I Book in PDF, ePub and Kindle
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 | : Mark H. Holmes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 344 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461253470 |
Download Introduction to Perturbation Methods Book in PDF, ePub and Kindle
This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.
| Author | : Richard Ernest Bellman |
| Publisher | : Courier Corporation |
| Total Pages | : 146 |
| Release | : 2003-01-01 |
| Genre | : Science |
| ISBN | : 9780486432588 |
Download Perturbation Techniques in Mathematics, Engineering and Physics Book in PDF, ePub and Kindle
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 | : Ali H. Nayfeh |
| Publisher | : John Wiley & Sons |
| Total Pages | : 437 |
| Release | : 2008-09-26 |
| Genre | : Science |
| ISBN | : 3527617612 |
Download Perturbation Methods Book in PDF, ePub and Kindle
The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & Norman R. Draper Evolutionary Operation: A Statistical Method for Process Improvement George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Finite Groups of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I RIchard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold S. M. Coxeter Introduction to Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Cuthbert Daniel Fitting Equations to Data: Computer Analysis of Multifactor Data, Second Edition Bruno de Finetti Theory of Probability, Volume I Bruno de Finetti Theory of Probability, Volume 2 W. Edwards Deming Sample Design in Business Research
| Author | : James M. Hill |
| Publisher | : CRC Press |
| Total Pages | : 232 |
| Release | : 1992-03-17 |
| Genre | : Mathematics |
| ISBN | : 9780849344428 |
Download Differential Equations and Group Methods for Scientists and Engineers Book in PDF, ePub and Kindle
Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.
| Author | : R.S. Johnson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 305 |
| Release | : 2005-12-28 |
| Genre | : Technology & Engineering |
| ISBN | : 0387232176 |
Download Singular Perturbation Theory Book in PDF, ePub and Kindle
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.
