Mathematics for Physicists
Introductory Concepts and Methods
 Authors:
 Alexander Altland, Universität zu Köln
 Jan von Delft, LudwigMaximiliansUniversität München
 Date Published: February 2019
 availability: In stock
 format: Hardback
 isbn: 9781108471220
Hardback

This textbook is a comprehensive introduction to the key disciplines of mathematics  linear algebra, calculus, and geometry  needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating indepth understanding and making even advanced mathematics tangible. The book guides the reader from highschool level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all oddnumbered problems. An online solutions manual for all evennumbered problems will be made available to instructors.
Read more Presents abstract mathematical concepts and practical computational methods in unison and from a physically motivated perspective, making even advanced mathematics tangible
 Organized into three parts which are strongly interlinked and may be read in parallel, allowing reading orders to be chosen according to taste and time considerations
 Provides numerous worked examples, info sections offering physical context, biographical boxes introducing famous scientists, and several detailed case studies
 Includes over 300 problems, referenced from within the text at the location where they first become relevant, as well as fully worked solutions for all oddnumbered problems at the end of the book
Reviews & endorsements
'A concise and engaging exposition of the mathematics necessary for physics students.' Juan Maldacena, Institute for Advanced Study
See more reviews'… an outstanding addition to the existing stock of books on mathematical methods. It is rigorous, yet readable, and up to date, covering topics like differential forms, which are more and more in use in many areas of physics. An invaluable part of the book that contributes greatly to its pedagogical mission is the vast collection of exercises and their solutions.' R. Shankar, Yale University
'This book takes the physics student along a wellplanned trip through mathematics from high school geometry to graduatelevel tensor calculus. The key concepts are introduced with a degree of care and precision that is unusual in a book for physicists  but the precision is well motivated, so not at all intimidating. The book is up to date in its contents, especially as it includes the calculus of differential forms, now an essential tool in the professional physicist's toolbox.' Michael Stone, University of Illinois
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×Product details
 Date Published: February 2019
 format: Hardback
 isbn: 9781108471220
 length: 720 pages
 dimensions: 253 x 193 x 37 mm
 weight: 1.7kg
 contains: 313 b/w illus.
 availability: In stock
Table of Contents
Preface
Part I. Linear Algebra:
1. Mathematics before numbers
2. Vector spaces
3. Euclidean geometry
4. Vector product
5. Linear maps
6. Determinants
7. Matrix diagonalization
8. Unitarity and hermiticity
9. Linear algebra in function spaces
10. Multilinear algebra
Problems: linear algebra
Part II. Calculus:
1. Differentiation of onedimensional functions
2. Integration of onedimensional functions
3. Partial differentiation
4. Multidimensional integration
5. Taylor series
6. Fourier calculus
7. Differential equations
8. Functional calculus
9. Calculus of complex functions
Problems: calculus
Part III. Vector Calculus:
1. Curves
2. Curvilinear coordinates
3. Fields
4. Introductory concepts of differential geometry
5. Alternating differential forms
6. Riemannian differential geometry
7. Case study: differential forms and electrodynamics
Problems: vector calculus
Solutions: linear algebra
Solutions: calculus
Solutions: vector calculus
Index.
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