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Mathematics for Physicists: Introductory Concepts and Methods

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ISBN :9781108645140
Publisher :Cambridge University Press
Publication Date :February 2019; Copyright: 2019
Language :English
Print Length :9781108645140

Mathematics for Physicists: Introductory Concepts and Methods 1st Edition

Description:
Mathematics for Physicists is an essential textbook designed to introduce undergraduate physics students to key mathematical disciplines, including linear algebra, calculus, and geometry. Written by Alexander Altland and Jan von Delft, this book reflects a unique teaching approach where theory and practice are integrated to provide a deep understanding of mathematics from a physicist’s perspective. The book takes students through a journey starting from high school-level mathematics to more advanced topics like tensor algebra, complex functions, and differential geometry.

The authors emphasize that success in these subjects stems from maintaining a balance between theoretical concepts and computational methods. This is achieved by presenting key topics with pedagogical depth and carefully crafted examples. The text is filled with over 300 problems to help students practice and refine their skills, and it includes fully worked solutions for odd-numbered problems within the book. Additionally, instructors can access a solutions manual for even-numbered problems online.

This comprehensive approach makes the textbook suitable for physics undergraduates seeking a thorough grasp of mathematical methods used in their field.

Key Features:

Comprehensive Coverage: In-depth explanations of linear algebra, calculus, and vector calculus.
Balanced Approach: Integrates theory and practice, helping students apply mathematical principles to physics problems.
Worked Examples: Numerous problems with solutions provided for deeper understanding.
Advanced Topics: Explores differential geometry, complex functions, and tensor algebra.
Interactive Learning: Contains biographical boxes, historical context, and case studies.

Table of Contents (Short Version):

L – Linear Algebra
- Vector Spaces, Euclidean Geometry, Matrix Diagonalization, Unitarity & Hermiticity
C – Calculus
- Differentiation, Integration, Partial Differentiation, Taylor Series, Fourier Calculus
V – Vector Calculus
- Curvilinear Coordinates, Fields, Differential Geometry, Riemannian Geometry
S – Solutions
- Complete solutions for linear algebra, calculus, and vector calculus problems

What Is Mathematics for Physicists?

Mathematics for physicists refers to the essential mathematical tools and methods that physicists use to understand and solve problems related to the natural world. This includes topics such as linear algebra, calculus, and differential geometry, which allow physicists to describe physical systems, perform calculations, and model the behavior of matter and energy. Mastery of these mathematical techniques is crucial for tackling complex physics problems ranging from classical mechanics to quantum theory.

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