Snieder R. A guided tour of mathematical methods for the physical sciences / R.Snieder, Kasper van Wijk. - 3rd ed. - New York: Cambridge university press, 2015. - xxi, 560 p.: ill. - Bibliogr.: p.547-554. - Ind.: p.555-560. - ISBN 978-1-107-64160-0 Шифр: (И/В31-S69) 02  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

List of figures ............................................... vii List of tables ............................................... xvii About the authors ............................................. xix 1 Introduction ................................................. 1 2 Dimensional analysis ......................................... 4 3 Power series ................................................ 18 4 Spherical and cylindrical coordinates ....................... 34 5 Gradient .................................................... 50 6 Divergence of a vector field ................................ 68 7 Curl of a vector field ...................................... 85 8 Theorem of Gauss ............................................ 99 9 Theorem of Stokes .......................................... 108 10 The Laplacian .............................................. 125 11 Scale analysis ............................................. 145 12 Linear algebra ............................................. 166 13 Dirac delta function ....................................... 188 14 Fourier analysis ........................................... 203 15 Analytic functions ......................................... 234 16 Complex integration ........................................ 244 17 Green's functions: principles .............................. 257 18 Green's functions: examples ................................ 278 19 Normal modes ............................................... 303 20 Potential field theory ..................................... 345 21 Probability and statistics ................................. 372 22 Inverse problems ........................................... 398 23 Perturbation theory ........................................ 416 24 Asymptotic evaluation of integrals ......................... 442 25 Conservation laws .......................................... 466 26 Cartesian tensors .......................................... 485 27 Variational calculus ....................................... 518 28 Epilogue, on power and knowledge ........................... 545 References .................................................... 547 Index ......................................................... 555