Mathematical Methods and Physical Insights: An Integrated Approach

Mathematics instruction is more effective when presented in a physical context, and Schramm uses this insight to help develop students' physical intuition. His text encourages a symbiosis between physics and math, beginning with a review of useful techniques and covering vector fields, analytic functions, linear algebra, function spaces, and differential equations. It includes extensive problems and supplementary digressions, written in an informal and engaging style.

Format: Hardback
Length: 650 pages
Publication date: 16 June 2022
Publisher: Cambridge University Press

Mathematics instruction is often more effective when presented in a physical context. Schramm harnesses this insight to aid in developing students' physical intuition as he guides them through the mathematical methods required to study upper-level physics. Drawing from his extensive experience teaching the undergraduate Math Methods course at Occidental College, the text fosters a symbiotic relationship wherein the physics illuminates the math, which in turn informs the physics. Suitable for both classroom instruction and self-study, the text begins with a comprehensive review of useful techniques to ensure students are comfortable with the prerequisite material. It then proceeds to cover vector fields, analytic functions, linear algebra, function spaces, and differential equations. Written in an informal and engaging style, the text 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.

Mathematics instruction is often more effective when presented in a physical context. Schramm harnesses this insight to aid in developing students' physical intuition as he guides them through the mathematical methods required to study upper-level physics. Drawing from his extensive experience teaching the undergraduate Math Methods course at Occidental College, the text fosters a symbiotic relationship wherein the physics illuminates the math, which in turn informs the physics. Suitable for both classroom instruction and self-study, the text begins with a comprehensive review of useful techniques to ensure students are comfortable with the prerequisite material. It then proceeds to cover vector fields, analytic functions, linear algebra, function spaces, and differential equations. Written in an informal and engaging style, the text 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.

Weight: 1830g
Dimension: 197 x 255 x 41 (mm)
ISBN-13: 9781107156418