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Guide to mathematical methods for physicists : with problems and solutions / Michela Petrini, Gianfranco Pradisi and Alberto Zaffaroni.

By: Contributor(s): Material type: TextTextSeries: Essential textbooks in physicsPublication details: New Jersey : World Scientific, ©2018.Description: x, 328 pages : illustrations (some color) ; 24 cmISBN:
  • 9781786343437
Subject(s): DDC classification:
  • 510 23 P496
Contents:
1. Holomorphic functions -- 2. Integration -- 3. Taylor and Laurent series -- 4. Residues -- 5. Vector spaces -- 6. Spaces of functions -- 7. Distributions -- 8. Fourier analysis -- 9. Linear operators in Hilbert spaces I: the finite-dimensional case -- 10. Linear operators in Hilbert spaces II: the infinite-dimensional case -- Appendices.
Summary: This book 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 function: 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.A companion volume covering more advanced topics that enlarge and deepen those treated here is also available.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 P496 (Browse shelf(Opens below)) Available 138399
Total holds: 0

Includes bibliographical references and index.

1. Holomorphic functions --
2. Integration --
3. Taylor and Laurent series --
4. Residues --
5. Vector spaces --
6. Spaces of functions --
7. Distributions --
8. Fourier analysis --
9. Linear operators in Hilbert spaces I: the finite-dimensional case --
10. Linear operators in Hilbert spaces II: the infinite-dimensional case --
Appendices.

This book 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 function: 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.A companion volume covering more advanced topics that enlarge and deepen those treated here is also available.

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