Judul: Mathematical Physics
Penyusun: Arip Nurahman & Mira Rahmawati
Title: Mathematical Physics: A Comprehensive Guide to the Intersection of Mathematics and Physics
Chapter 1: Introduction
Brief history of mathematical physics
The role of mathematical physics in modern science
Overview of the book's content
Chapter 2: Classical Mechanics
Newton's laws of motion
Lagrangian and Hamiltonian formalism
Hamilton's equations of motion
Canonical transformations
Chapter 3: Electromagnetism
Maxwell's equations
Electric and magnetic fields
Electromagnetic waves
Lorentz transformations
Chapter 4: Quantum Mechanics
Wave-particle duality
Schrödinger equation
Wave functions and probability density
Operators and observables
Chapter 5: Special Relativity
Lorentz transformations and spacetime
Time dilation and length contraction
Mass-energy equivalence
Relativistic dynamics
Chapter 6: Statistical Mechanics
The laws of thermodynamics
Microcanonical, canonical, and grand canonical ensembles
Entropy and free energy
The Boltzmann distribution
Chapter 7: Quantum Field Theory
Classical field theory
Quantization of fields
Interactions and Feynman diagrams
The Standard Model
Chapter 8: General Relativity
Einstein's field equations
The geometry of spacetime
Black holes and gravitational waves
Cosmology
Chapter 9: Mathematical Methods in Physics
Linear algebra
Differential equations
Calculus of variations
Group theory
Chapter 10: Applications of Mathematical Physics
Condensed matter physics
Particle physics
Astrophysics
Quantum computing
Chapter 11: Conclusion
The beauty and elegance of mathematical physics
Future directions and challenges in the field.
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