Mathematical Methods in Physics-1 Pages 404-504
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This document appears to be a list of mathematical topics related to complex analysis and methods in physics. It includes topics like analytic functions of complex variables, asymptotic expansions, Bessel functions, the beta function, Cauchy's theorem, complex integration, complex numbers, contour integrals, and properties of complex functions like cosine and sine. The document consists of topic headings and page numbers but no further details on the topics.
Mathematical Methods in Physics-1 Pages 404-504
- 1. 404 Mathematical Methods in Physics 151 Analytic Functions of Complex Variables 152 Asymptotic Expansions 153 Change of Basis 154 Bessel Functions of first kind, Bessel Functions of the second kind, Modified Bessel Functions, Spherical Bessel Functions 155 Beta Function
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- 89. 492 Mathematical Methods in Physics 156 Cauchys Theorem 157 Cauchy-Goursat Theorem 158 Cauchys Integral Formulas 159 CauchyRiemann Equations 160 Chebyshev Polynomials 161 Christoffel symbols Mathematical Methods in Physics 162 Complex Analysis, Polar form of complex numbers, Complex logarithms and powers 163 Complex Integration 164 Complex Numbers 165 Contour Integrals 166 Covariant Differentiation 167 Convolution Theorem Complex Analysis A number of the form a + ib, where a and b are real numbers, is called a complex number, a is called the real part and b is called the imaginary part of the complex number.
- 90. 493 Addition of two complex numbers Difference of two complex numbers
- 91. 494 Multiplication of two complex numbers
- 93. 496 Division of two complex numbers Power of i We know that
- 94. 497 Prove Proof:
- 95. 498 The Modulus and the Conjugate of a Complex Number Example
- 96. 499 Solution Let z = 2 3i Example Find the modulus and argument of the complex numbers: Solution
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- 100. 503 Solution These are properties of the functions cos z and sin z:
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