A Short Introduction to Mathematical Concepts in Physics

This textbook offers an accessible and concise introduction to mathematical physics for undergraduate students with a background in introductory physics and basic calculus. It equips readers with the skills and foundational knowledge needed for courses in classical mechanics, electromagnetism, quantum mechanics, and thermal physics. It also serves as a useful reference for further studies and includes homework problems and a solutions manual for instructors.

Format: Paperback / softback
Length: 226 pages
Publication date: 22 January 2024
Publisher: Taylor & Francis Ltd

Mathematics, the language of physics, encompasses an immense realm of knowledge and complexity. This textbook serves as an accessible and concise introduction to mathematical physics, designed for undergraduate students embarking on a one-semester course. It assumes a foundational understanding of introductory physics, along with three semesters of basic calculus, including some vector calculus, but no formal training in differential equations or matrix algebra. Its primary objective is to equip readers with the essential skills and foundational knowledge required for subsequent courses in classical mechanics, electromagnetism, quantum mechanics, and thermal physics.

By introducing students to the various mathematical manipulations they will encounter in upper-level physics courses, this book serves as a valuable resource for their academic journey. It also acts as a helpful reference for their future studies.

Key features of the textbook include:

Comprehensive coverage: The textbook provides a comprehensive treatment of mathematical physics, covering key topics such as differential equations, vector analysis, matrix algebra, and more.

Accompanied by homework problems and a solutions manual: The textbook is accompanied by a comprehensive set of homework problems and a solutions manual, making it an invaluable resource for instructors. The solutions manual provides detailed explanations and guidance to help students solve complex problems.

Bridges the gap between calculus and physics: The book bridges the gap between calculus and physics, explaining fundamental mathematics concepts in physical terms. It helps students understand the mathematical foundations of physics and how they apply to real-world scenarios.

Explores quick extensions into mathematics useful in physics: The textbook explores quick extensions into mathematics that are not typically taught in math courses but are essential in physics. These include topics such as the Gamma Function, hyperbolic functions, Gaussian integrals, Legendre polynomials, functions of a complex variable, and probability distribution functions.

By providing a solid foundation in mathematical physics, this textbook equips students with the tools they need to excel in their physics courses and pursue further studies in the field. Whether they are aspiring physicists, engineers, or scientists, this textbook is an essential resource for anyone interested in delving into the world of mathematical physics.

Weight: 370g
Dimension: 158 x 233 x 21 (mm)
ISBN-13: 9781032404301