Mathematical Methods For The Natural And Engineering Sciences

Author : Ronald E Mickens
Publisher : World Scientific Publishing Company
Page : 640 pages
File Size : 45,9 Mb
Release : 2016-12-29
Category : Electronic
ISBN : 9789813202726

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Mathematical Methods for the Natural and Engineering Sciences by Ronald E Mickens Pdf

This second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert–W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature. Request Inspection Copy

Author : Ronald E. Mickens
Publisher : World Scientific
Page : 544 pages
File Size : 40,8 Mb
Release : 2004
Category : Technology & Engineering
ISBN : 9812387501

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Mathematical Methods for the Natural and Engineering Sciences by Ronald E. Mickens Pdf

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

Author : David J. Wollkind,Bonni J. Dichone
Publisher : Springer
Page : 607 pages
File Size : 55,8 Mb
Release : 2018-05-01
Category : Mathematics
ISBN : 9783319735184

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Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences by David J. Wollkind,Bonni J. Dichone Pdf

This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies. The case studies are arranged in increasing order of complexity based on the mathematical methods required to analyze the models. The development of these methods is also included, providing a self-contained presentation. To reinforce and supplement the material introduced, original problem sets are offered involving case studies closely related to the ones presented. With this style, the text’s perspective, scope, and completeness of the subject matter are considered unique. Having grown out of four self-contained courses taught by the authors, this text will be of use in a two-semester sequence for advanced undergraduate and beginning graduate students, requiring rudimentary knowledge of advanced calculus and differential equations, along with a basic understanding of some simple physical and biological scientific principles.

Author : Selcuk S. Bayin
Publisher : John Wiley & Sons
Page : 742 pages
File Size : 50,9 Mb
Release : 2018-03-27
Category : Education
ISBN : 9781119425397

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Mathematical Methods in Science and Engineering by Selcuk S. Bayin Pdf

A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the “how-to” aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms. Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science. Revised and expanded for increased utility, this new Second Edition: Includes over 60 new sections and subsections more useful to a multidisciplinary audience Contains new examples, new figures, new problems, and more fluid arguments Presents a detailed discussion on the most frequently encountered special functions in science and engineering Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory Approaches second-order differential equations of physics and engineering from the factorization perspective Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.

Author : S.I. Hayek
Publisher : CRC Press
Page : 862 pages
File Size : 50,7 Mb
Release : 2010-06-22
Category : Mathematics
ISBN : 9781420081985

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Advanced Mathematical Methods in Science and Engineering by S.I. Hayek Pdf

Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book. After introducing integration and solution methods of ordinary differential equations (ODEs), the book presents Bessel and Legendre functions as well as the derivation and methods of solution of linear boundary value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of integral transforms; Green’s functions for ODEs and PDEs; asymptotic methods for evaluating integrals; and the asymptotic solution of ODEs. New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing differential equations in many fields of applied physics and engineering, such as wave mechanics, acoustics, heat flow in solids, diffusion of liquids and gases, and fluid flow. An update of a bestseller, this second edition continues to give students the strong foundation needed to apply mathematical techniques to the physical phenomena encountered in scientific and engineering applications.

Author : John Heading
Publisher : Elsevier Publishing Company
Page : 716 pages
File Size : 41,7 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015000493992

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Mathematical Methods in Science and Engineering by John Heading Pdf

Author : G. Stephenson,P. M. Radmore
Publisher : Cambridge University Press
Page : 270 pages
File Size : 50,5 Mb
Release : 1990-04-12
Category : Mathematics
ISBN : 052136860X

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Advanced Mathematical Methods for Engineering and Science Students by G. Stephenson,P. M. Radmore Pdf

A solid foundation for a number of topics of interest to science and engineering students is provided in this self- contained text that assumes only a basic understanding of related mathematics.

Author : Donald Allan McQuarrie
Publisher : University Science Books
Page : 1188 pages
File Size : 51,7 Mb
Release : 2003
Category : Mathematics
ISBN : 1891389246

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Mathematical Methods for Scientists and Engineers by Donald Allan McQuarrie Pdf

"Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description.

Author : Selcuk S. Bayin
Publisher : John Wiley & Sons
Page : 960 pages
File Size : 52,7 Mb
Release : 2019-11-27
Category : Mathematics
ISBN : 9781119580232

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Essentials of Mathematical Methods in Science and Engineering by Selcuk S. Bayin Pdf

A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book’s approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: • Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book • Puts the emphasis on the analytic techniques • Contains two new chapters that explore linear algebra and its applications • Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.

Author : Joseph M. Powers,Mihir Sen
Publisher : Cambridge University Press
Page : 639 pages
File Size : 46,7 Mb
Release : 2015-01-26
Category : Mathematics
ISBN : 9781107037045

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Mathematical Methods in Engineering by Joseph M. Powers,Mihir Sen Pdf

Designed for engineering graduate students, this book connects basic mathematics to a variety of methods used in engineering problems.

Author : Athanassios Fokas,Efthimios Kaxiras
Publisher : World Scientific
Page : 568 pages
File Size : 52,6 Mb
Release : 2022-12-12
Category : Mathematics
ISBN : 9781800611825

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Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction by Athanassios Fokas,Efthimios Kaxiras Pdf

Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.

Author : Kwong-Tin Tang
Publisher : Springer Nature
Page : 498 pages
File Size : 49,5 Mb
Release : 2022-10-25
Category : Science
ISBN : 9783031056789

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Mathematical Methods for Engineers and Scientists 1 by Kwong-Tin Tang Pdf

The topics of this set of student-oriented books are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Author : Hemen Dutta
Publisher : CRC Press
Page : 309 pages
File Size : 50,5 Mb
Release : 2020-01-03
Category : Mathematics
ISBN : 9781000764796

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Mathematical Methods in Engineering and Applied Sciences by Hemen Dutta Pdf

Recognized as a "Recommended" title by Choice for their October 2020 issue. Choice is a publishing unit at the Association of College & Research Libraries (ACR&L), a division of the American Library Association. Choice has been the acknowledged leader in the provision of objective, high-quality evaluations of nonfiction academic writing. This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences. Presents theory, methods, and applications in a balanced manner Includes the basic developments with full details Contains the most recent advances and offers enough references for further study Written in a self-contained style and provides proof of necessary results Offers research problems to help early career researchers prepare research proposals Mathematical Methods in Engineering and Applied Sciences makes available for the audience, several relevant topics in one place necessary for crucial understanding of research problems of an applied nature. This should attract the attention of general readers, mathematicians, and engineers interested in new tools and techniques required for developing more accurate mathematical methods and modelling corresponding to real-life situations.

Author : M. J. Englefield
Publisher : Hodder Education
Page : 628 pages
File Size : 41,9 Mb
Release : 1987
Category : Mathematics
ISBN : STANFORD:36105033021820

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Mathematical Methods for Engineering and Science Students by M. J. Englefield Pdf

Author : Michael Howe
Publisher : World Scientific Publishing Company
Page : 332 pages
File Size : 50,5 Mb
Release : 2015-08-05
Category : Technology & Engineering
ISBN : 9781783266661

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Mathematical Methods for Mechanical Sciences by Michael Howe Pdf

A mathematical model of a physical system provides the engineer with the insight and intuitive understanding required to make efficient system design changes or other modifications. In this context, a simple formula is often worth a thousand numerical simulations, and connections between different control parameters can be immediately revealed that might otherwise take hours or weeks to deduce from a computational analysis. This book supplies the undergraduate engineer with the basic mathematical tools for developing and understanding such models, and is also suitable as a review for engineering graduate students. A firm grasp of the topics covered will also enable the working engineer (educated to bachelor's degree level) to understand, write and otherwise make sensible use of technical reports and papers.