[PDF] Mathematical Methods And Physical Insights eBook

Author : Alec J. Schramm
Publisher : Cambridge University Press
Page : 788 pages
File Size : 19,36 MB
Release : 2022-06-16
Category : Science
ISBN : 1009293427

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Mathematics instruction is often more effective when presented in a physical context. Schramm uses this insight to help develop students' physical intuition as he guides them through the mathematical methods required to study upper-level physics. Based on the undergraduate Math Methods course he has taught for many years at Occidental College, the text encourages a symbiosis through which the physics illuminates the math, which in turn informs the physics. Appropriate for both classroom and self-study use, the text begins with a review of useful techniques to ensure students are comfortable with prerequisite material. It then moves on to cover vector fields, analytic functions, linear algebra, function spaces, and differential equations. Written in an informal and engaging style, it also includes short supplementary digressions ('By the Ways') as optional boxes showcasing directions in which the math or physics may be explored further. Extensive problems are included throughout, many taking advantage of Mathematica, to test and deepen comprehension.

Author : Roel Snieder
Publisher : Cambridge University Press
Page : 583 pages
File Size : 13,26 MB
Release : 2015-03-16
Category : Mathematics
ISBN : 1107084962

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This completely revised edition provides a tour of the mathematical knowledge and techniques needed by students across the physical sciences. There are new chapters on probability and statistics and on inverse problems. It serves as a stand-alone text or as a source of exercises and examples to complement other textbooks.

Author : Mattias Blennow
Publisher : CRC Press
Page : 508 pages
File Size : 36,33 MB
Release : 2018-01-03
Category : Science
ISBN : 1351676075

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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 : Harold Jeffreys
Publisher : Cambridge University Press
Page : 734 pages
File Size : 17,88 MB
Release : 1999-11-18
Category : Mathematics
ISBN : 9780521664028

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This book is a reissue of classic textbook of mathematical methods.

Author : K. F. Riley
Publisher : Cambridge University Press
Page : 556 pages
File Size : 38,7 MB
Release : 1974-10-03
Category : Mathematics
ISBN : 9780521098397

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Designed for first and second year undergraduates at universities and polytechnics, as well as technical college students.

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 28,44 MB
Release : 2013-11-11
Category : Mathematics
ISBN : 038721562X

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Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.

Author : Donald Allan McQuarrie
Publisher : University Science Books
Page : 1188 pages
File Size : 36,61 MB
Release : 2003
Category : Mathematics
ISBN : 9781891389245

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"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 : R. Shankar
Publisher : Springer
Page : 371 pages
File Size : 17,41 MB
Release : 2013-12-20
Category : Science
ISBN : 1489967982

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Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.

Author : Carl M. Bender
Publisher : Springer Science & Business Media
Page : 616 pages
File Size : 28,74 MB
Release : 1999-10-29
Category : Mathematics
ISBN : 9780387989310

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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.