Descriptions
A Guide to Mathematical Methods for Physicists, Mathematics plays a fundamental role in the formulation of physical theories. This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex functions, distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts — complex analysis and vector spaces — in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions.
What you’ll learn
- Understand the main mathematical tools used in classical and quantum physics, including complex analysis and functional spaces
- Master core topics: holomorphic functions, integration, Taylor and Laurent series, and residues
- Learn functional-space concepts: vector spaces, spaces of functions, distributions, and Fourier analysis
- Analyze linear operators and eigenvalue problems in finite and infinite-dimensional Hilbert spaces
- Apply methods through fully worked examples and exercises with detailed solutions
- Prepare for advanced study or research in mathematical methods for physics and engineering
Who this course is for
- Undergraduate mathematics students taking final-year courses relevant to physics
- Postgraduate students of physics or engineering who need rigorous mathematical methods
- Physicists and engineers seeking a concise, self-contained reference for mathematical tools
- Anyone studying complex analysis, functional analysis, Fourier methods, or eigenvalue problems
Specificatoin of A Guide to Mathematical Methods for Physicists
- Publisher : World Scientific
- Teacher : Michela Petrini
- Language : English
- Level : All Levels
- Pages : 328
- Chapters: 3
- Format: PDF
Content of A Guide to Mathematical Methods for Physicists
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File size
3 MB
