Mathematical Methods for Physics and Engineering
Author | : Kenneth Franklin Riley |
Publisher | : |
Total Pages | : 1008 |
Release | : 1997 |
Genre | : |
ISBN | : |
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Author | : Kenneth Franklin Riley |
Publisher | : |
Total Pages | : 1008 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Gregory J. Gbur |
Publisher | : Cambridge University Press |
Total Pages | : 819 |
Release | : 2011-01-06 |
Genre | : Science |
ISBN | : 1139492691 |
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.
Author | : Mattias Blennow |
Publisher | : CRC Press |
Total Pages | : 508 |
Release | : 2018-01-03 |
Genre | : Science |
ISBN | : 1351676075 |
Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions.
Author | : Gary N. Felder |
Publisher | : John Wiley & Sons |
Total Pages | : 829 |
Release | : 2015-04-13 |
Genre | : Science |
ISBN | : 1118449606 |
This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement. Supporting the use of active learning, a strong focus is placed upon physical motivation combined with a versatile coverage of topics that can be used as a reference after students complete the course. Each chapter begins with an overview that includes a list of prerequisite knowledge, a list of skills that will be covered in the chapter, and an outline of the sections. Next comes the motivating exercise, which steps the students through a real-world physical problem that requires the techniques taught in each chapter.
Author | : Cyrus D. Cantrell |
Publisher | : Cambridge University Press |
Total Pages | : 790 |
Release | : 2000-10-09 |
Genre | : Science |
ISBN | : 9780521598279 |
A mathematical and computational education for students, researchers, and practising engineers.
Author | : John W. Dettman |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2013-01-23 |
Genre | : Science |
ISBN | : 0486169367 |
Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.
Author | : S.I. Hayek |
Publisher | : CRC Press |
Total Pages | : 862 |
Release | : 2010-06-22 |
Genre | : Mathematics |
ISBN | : 1420081985 |
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 | : Royal Eugene Collins |
Publisher | : Courier Corporation |
Total Pages | : 400 |
Release | : 2012-06-11 |
Genre | : Science |
ISBN | : 0486150127 |
Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.
Author | : Carl M. Bender |
Publisher | : Springer Science & Business Media |
Total Pages | : 605 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475730691 |
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 | : Donald Allan McQuarrie |
Publisher | : University Science Books |
Total Pages | : 1188 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9781891389245 |
"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.