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 | : 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 | : 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 | : 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 | : 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 | : George Brown Arfken |
Publisher | : Academic Press |
Total Pages | : 1230 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 0123846544 |
Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics.
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.
Author | : Royal Eugene Collins |
Publisher | : Courier Corporation |
Total Pages | : 404 |
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 | : Ferdinand F. Cap |
Publisher | : CRC Press |
Total Pages | : 352 |
Release | : 2003-05-28 |
Genre | : Mathematics |
ISBN | : 0203502604 |
More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering