Mathematical Methods and Physical Insights:An Integrated Approach

Mathematical Methods and Physical Insights:An Integrated Approach New Edition

by: Alec J. Schramm (Author)
Publisher:Cambridge University Press; New edition (September 29, 2022)

Language: English

Print Length: 786 pages

ISBN-10: 1107156416

ISBN-13: 9781107156418

Book Description

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 tu 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.

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