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Cartesian Coordinates. Plane Polar Coordinates. Spherical Polar Coordinates. Complex Numbers.
Functions. Graphical Representation of Functions. Roots to Polynomial Equations.
General Properties of Logarithms. Common Logarithms. Natural Logarithms.
Functions of Single Variables. Functions of Several Variables-Partial Derivatives. The Total Differential. Derivative as a Ratio of Infinitesimally Small Changes. Geometric Properties of Derivatives. Constrained Maxima and Minima.
Integral as an Antiderivative. General Methods of Integration. Special Methods of Integration. The Integral as a Summation of Infinitesimally Small Elements. Line Integrals. Double and Triple Integrals.
Tests for Convergence and Divergence. Power Series Revisited. Maclaurin and Taylor Series. Fourier Series and Fourier Transforms.
Linear Combinations. First-Order Differential Equations. Second-Order Differential Equations. with Constant Coefficients. General Series Methods of Solution. Special Polynomial Solutions to Differential Equations. Exact and Inexact Differentials. Integrating Factors. Partial Differential Equations.
Addition of Vectors. Multiplication of Vectors. Applications.
Square Matrices and Determinants. Matrix Algebra.
VectorOperators. Eigenvalue Equations Revisited. Hermitian Operators. Rotational Operators. Transformation of ∇2 to Plane Polar Coordinates.
Graphical Presentation. Numerical Integration. Roots to Equations. Fourier Transforms Revisited-Macros.
Probability. Experimental Errors. Propagation of Errors. Preparation of Graphs. Linear Regression. Tangents and Areas.
JAMES R. BARRANTE
Posted September 18, 2001
This is a quick tool for those who is into higher mathematical or computation in Physical Chemistry or similar type of engineering field. This book quickly review the concepts and has practical exmaples throughout. I found it very handy and, in fact, it provides me a quick reference on what I need.Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.