Mathematics for Physics - Michael Stone, Paul Goldbart

Mathematics for Physics

A Guided Tour for Graduate Students
Buch | Hardcover
820 Seiten
2009
Cambridge University Press (Verlag)
978-0-521-85403-0 (ISBN)
93,50 inkl. MwSt
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. Topics are illustrated through carefully chosen examples, exercises and problems drawn from realistic physics settings. Solutions to the exercises are available at www.cambridge.org/9780521854030.
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Michael Stone is a Professor in the Department of Physics at the University of Illinois at Urbana-Champaign. He has worked on quantum field theory, superconductivity, the quantum Hall effect and quantum computing. Paul Goldbart is a Professor in the Department of Physics at the University of Illinois at Urbana-Champaign, where he directs the Institute for Condensed Matter Theory. His research ranges widely over the field of condensed matter physics, including soft matter, disordered systems, nanoscience and superconductivity.

Preface; 1. Calculus of variations; 2. Function spaces; 3. Linear ordinary differential equations; 4. Linear differential operators; 5. Green functions; 6. Partial differential equations; 7. The mathematics of real waves; 8. Special functions; 9. Integral equations; 10. Vectors and tensors; 11. Differential calculus on manifolds; 12. Integration on manifolds; 13. An introduction to differential topology; 14. Group and group representations; 15. Lie groups; 16. The geometry of fibre bundles; 17. Complex analysis I; 18. Applications of complex variables; 19. Special functions and complex variables; Appendixes; Reference; Index.

Erscheint lt. Verlag 9.7.2009
Zusatzinfo Worked examples or Exercises; 100 Halftones, unspecified
Verlagsort Cambridge
Sprache englisch
Maße 180 x 253 mm
Gewicht 1570 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 0-521-85403-2 / 0521854032
ISBN-13 978-0-521-85403-0 / 9780521854030
Zustand Neuware
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