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Methods of Mathematical Physics (fourth edition) is revised on the basis of the third edition and according to the current teaching practice. This book consists of two parts: complex variable function theory and mathematical physical equations, focusing on the establishment and solution of three definite solutions of partial differential equations in common physical problems. Methods of Mathematical Physics (4th Edition) keeps the features of the first three editions that mathematics and physics are closely linked and explained smoothly, and makes appropriate adjustments to the content to meet the current requirements.
Methods of Mathematical Physics (4th Edition) can be used as the teaching material for the course of Methods of Mathematical Physics for physics and electronic engineering majors in colleges and universities, and can also be selected by other related majors in colleges and universities.
About the author? ? ? ? ? ?
Liang, deceased, former professor of Nanjing University, was a famous mathematical physicist. Editor-in-chief has edited books such as Mathematical Physics Methods and Mechanics. Liang 1989 was awarded as a model worker in the national education system and commended by the State Education Commission, Publicity Department of the Communist Party of China and the National Education Union.
Directory? ? ? ? ? ?
The first theory of complex variable function Chapter 1 Complex variable function 1. 1 complex number and complex number operation 1.2 complex variable function 1.3 derivative 1.4 analytic function 1.5 plane scalar field 1.6 duo. Integral 2.2 Cauchy Theorem 2.3 Indefinite Integral 2.4 Cauchy Formula Chapter III Power Series Expansion 3. 1 Complex Term Series 3.2 Power Series 3.3 Taylor Series Expansion 3.4 Analytical Extension 3.5 Laurent Series Expansion 3.6 Classification of Isolated Singularities Chapter IV Residue Theorem 4. 1 Residue Theorem 4.2 Application of definite integral of real variable function 4.3 Supplementary examples for calculating definite integral Chapter 5 Fourier transform 5. 1 Fourier series 5.2 Fourier integral and Fourier transform Laplace transform 6. 1 Laplace transform 6.2 Laplace transform inversion 6.3 Application examples Chapter 2 Mathematical physics equations Chapter 7 Mathematical physics definite solution problem 7. 1 Derivation of Mathematical and Physical Equations 7.2 Conditions for Definite Solution 7.3 Classification of Mathematical and Physical Equations 7.4 Darren n 1 Formula Definite Solution Chapter 8 Separation of Variables 8. 1 Homogeneous Equation Separation of Variables 8.2 Non-homogeneous Vibration Equation and Transport Equation 8.3 Processing Conditions 8.4 Poisson 8.5 Separation of Variables Summarize the eigenvalue problem of second-order ordinary differential equations in Chapter 9 with series (9. 1) Ordinary differential equation of special function (9.2) Series solution of neighborhood of invariant point (9.3) Series solution of neighborhood of regular singularity (9.4) Stourm-joseph liouville eigenvalue problem Chapter 10 Spherical function (10. 1) Axisymmetric spherical function (10.2). Joint Legendre Function 10.3 General Spherical Function Section XI Column Function 1 1. 1 Three Column Functions1.2 Bessel Equation1.3 Asymptotic of Column Function Kloc-0/ 1.6 Equation Green's Function 12.5 Generalized Green's Formula and Its Application Chapter XIII Integral Transform Method 13. 1 Fourier Transform Method 13.2 Laplacian Transform Method 13.3 Introduction to Wavelet Transform Chapter XIV Conformal Transform Method. 4.2 Some Commonly Used Conformal Transforms Chapter 15 Introduction to Nonlinear Mathematical and Physical Problems 15. 1 Soliton 15.2 Chaos Appendix I, Fourier Transform Function Table II, Laplace Transform Function Table III, Gaussian Function and Error Function Table IV. The series solutions (9.2.7) and (9.2.8) of Legendre equation are combined with Legendre function VI, Bessel function table Bi, Neumann function VIII, imaginary Bessel function hankel function IX, spherical Bessel function X, Hermite polynomial XI, laguerre polynomial XII, the first six roots of equation x+ntan x=0 XIII, and R function (the second kind