TY  - BOOK
AU  - Petrini,Michela
AU  - Pradisi,Gianfranco
AU  - Zaffaroni,Alberto
TI  - Guide to mathematical methods for physicists: with problems and solutions 
T2  - Essential textbooks in physics
SN  - 9781786343437 
U1  - 510 23
PY  - 2018///
CY  - New Jersey
PB  - World Scientific
KW  - Mathematical physics
KW  - Functional analysis
N1  - 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
N2  - 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
ER  -