PDF Free Download | Mathematical Physics Applied Mathematics for Scientists and Engineers Second Edition by Bruce R. Kusse and ErikA. Westwig

Contents of Mathematical Physics eBook

• A Review of Vector and Matrix Algebra Using
• Subscript Summation Conventions
• Notation
• Vector Operations
• Differential and Integral Operations on Vector and Scalar Fields
• Plotting Scalar and Vector Fields
• Integral Operators
• Differential Operations
• Integral Definitions of the Differential Operators
• The Theorems
• Curvilinear Coordinate Systems
• The Position Vector
• The Cylindrical System
• The Spherical System
• General Curvilinear Systems
• The Gradient Divergence and Curl in Cylindrical and Spherical Systems
• Introduction to Tensors
• The Conductivity Tensor and Ohm’s Law
• General Tensor Notation and Terminology
• Transformations Between Coordinate Systems
• Tensor Diagonalization
• Tensor Transformations in Curvilinear Coordinate Systems
• Pseudo-Objects
• The Dirac &Function
• Examples of Singular Functions in Physics
• Two Definitions of &t)
• Functions with Complicated Arguments
• Integrals and Derivatives of (t)
• Singular Density Functions
• The Infinitesimal Electric Dipole
• Riemann Integration and the Dirac &Function
• Introduction to Complex Variables
• A Complex Number Refresher
• Functions of a Complex Variable
• Derivatives of Complex Functions
• The Cauchy Integral Theorem
• Contour Deformation
• The Cauchy Integrd Formula
• Taylor and Laurent Series
• The Complex Taylor Series
• The Complex Laurent Series
• The Residue Theorem
• Definite Integrals and Closure
• Conformal Mapping