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¡ºGuardian for Mathematical Physics¡»´Â ¼öÇÐ ¹°¸® °úÁ¤¿¡¼ ¼ö½Ä°ú ±× Àǹ̸¦ ¹è¿ì°í ÀÌÇØÇÏ´Â µ¥ ¾î·Á¿òÀ» °Þ´Â ÇлýµéÀ» À§ÇÑ Ã¥À¸·Î½á, °íÀü ¿ªÇаú ÀüÀÚ±âÇÐ ¹× ¾çÀÚ ¿ªÇÐÀÇ ¿¹¸¦ ÅëÇØ ÇлýµéÀÇ ÀÌÇظ¦ µ½°í ÀÖ´Ù. °¢ éÅÍÀÇ ³»¿ëÀº »çÀü Áö½ÄÀÌ ¾ø°Å³ª ÀÌÀü éÅ͸¦ °øºÎÇÏÁö ¾ÊÀº ÇлýÀÌ¶óµµ ½±°Ô ÀÌÇØÇÒ ¼ö ÀÖµµ·Ï ±¸¼ºµÇ¾ú´Ù. ÇлýµéÀº ÀÌ Ã¥À» ÅëÇØ ¼ö¸® ¹°¸®ÇÐÀ» °øºÎÇÒ ¶§ Á÷¸éÇØ¾ß Çß´ø ¾î·Á¿òÀ» ±Øº¹ÇÏ°í, ½ÉÈ°úÁ¤À» À§ÇÑ Ãʼ®À¸·Î È°¿ëÇÒ ¼ö ÀÖÀ» °ÍÀÌ´Ù.
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Chapter 1. Introduction
1.1 Trigonometric Functions
1.2 Double-and Half-angle Formulas
1.3 Hyperbolic Functions
1.4 Differentiation
1.5 Chain Rule
1.6 Integration
1.7 Complex numbers
1.8 Dirac Delta Function
1.9 Equations of Trajectory
Chapter 2. Differential Equation
2.1 Concept of Differential Equation
2.2 First Order Ordinary Differential Equation
2.3 Homogeneous Second Order Differential Equation
2.4 Inhomogeneous Second Order Differential Equation
Chapter 3. Vectors
3.1 Coordinate Systems
3.2 Vectors in Rectangular Coordinate System
3.3 Gradient, Divergence and Curl
3.4 Divergence and Stokes¡¯ Theorem
3.5 Tensor
Chapter 4. Physical Quantities in Coordinate Systems
4.1 Spherical Coordinate System
4.2 Cylindrical Coordinate System
4.3 Curvilinear Coordinate System
Chapter 5. Infinite Series
5.1 Infinite Series
5.2 Taylor Series
5.3 Taylor Series for More Than One Variable
Chapter 6. Matrices
6.1 Matrix Representation
6.2 Operator
6.3 Eigenvalue Equation
6.4 Notation in Quantum Mechanics
Chapter 7. Special Functions
7.1 Beta and Gamma Functions
7.2 Legendre Differential Equation
7.3 Solutions for Bessel¡¯s Equation
Chapter 8. Fourier Transformation
8.1 Fourier Series
8.2 Fourier Transform
Chapter 9. Variational Principle
9.1 Lagrange¡¯s Equation
9.2 Lagrange Multipliers Method
Appendix
References
Index
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