The six core theories of modern physics
Choice Reviews Online · 1995
Preface Notational Conventions. Part 1 Mathematics: Vector Analysis Linear Operators on Inner-Product Spaces Green's Functions The Calculus of Variations Random Walk Functional Calculus Gaussian Random Processes* Cartesian Tensors. Part 2 Classical Mechanics: Euler-Lagrange Equation: First Version Hamilton's Principle Multiple Particles in Three Dimensions Euler-Lagrange Equation: Second Version Hamilton's Equations Poisson Brackets*. Part 3 Electricity and Magnetism: The Electrostatic Field The Magnetostatic Field The Electromagnetic Field The Macroscopic Maxwell's Equations Gauge Transformations*. Part 4 Quantum Mechanics: Fundamental Assumptions Schrodinger's Equation Next Steps Momentum Representation Operators The Uncertainty Principle The Schrodinger and Heisenberg Pictures Time-Varying Forcing*. Part 5 Statistical Physics Historical Context Thermodynamics Equilibrium Statistical Mechanics Nonequilibrium Statistical Mechanics* Quantum Statistical Mechanics*. Part 6 Special Relativity: Einstein's Postulates and First Consequences Theories Must Be Covariant. Part 7 Quantum Field Theory: The Lagrangian for a Mechanical Field The Field-Transition Amplitude The Feynman Propagator Second Quantisation Interacting Fields Antiparticles. Additional Reading Symbol Index Equation Index Subject Index.