Riley K.F. Student solutions manual for mathematical methods for physics and engineering / K.F.Riley, M.P.Hobson. - 3rd ed. - Cambridge: Cambridge University Press, 2006. - x, 534 p.: ill. - ISBN 978-0-521-67973-2  Выставка : «Cambridge University Press - для науки и образования Сибири» Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Preface .................................................... vii 1 Preliminary algebra .......................................... 1 2 Preliminary calculus ........................................ 17 3 Complex numbers and hyperbolic functions .................... 39 4 Series and limits ........................................... 55 5 Partial differentiation ..................................... 71 6 Multiple integrals .......................................... 90 7 Vector algebra ............................................. 104 8 Matrices and vector spaces ................................. 119 9 Normal modes ............................................... 145 10 Vector calculus ............................................ 156 11 Line, surface and volume integrals ......................... 176 12 Fourier series ............................................. 193 13 Integral transforms ........................................ 211 14 First-order ODEs ........................................... 228 15 Higher-order ODEs .......................................... 246 16 Series solutions of ODEs ................................... 269 17 Eigenfunction methods for ODEs ............................. 283 18 Special functions .......................................... 296 19 Quantum operators .......................................... 313 20 PDEs: general and particular solutions ..................... 319 21 PDEs: separation of variables .............................. 335 22 Calculus of variations ..................................... 353 23 Integral equations ......................................... 374 24 Complex variables .......................................... 386 25 Applications of complex variables .......................... 400 26 Tensors .................................................... 420 27 Numerical methods .......................................... 440 28 Group theory ............................................... 461 29 Representation theory ...................................... 480 30 Probability ................................................ 494 31 Statistics ................................................. 519