The Fifth Edition of this leading text offers
substantial training in vectors and matrices, vector analysis, and
partial differential equations. Vectors are introduced at the outset and
serve at many points to indicate geometrical and physical significance
of mathematical relations. Numerical methods are touched upon at various
points, because of their practical value and the insights they give
about theory. Vectors and Matrices; Differential Calculus of Functions of Several
Variables; Vector Differential Calculus; Integral Calculus of Functions
of Several Variables; Vector Integral Calculus; Two-Dimensional Theory;
Three-Dimensional Theory and Applications; Infinite Series; Fourier
Series and Orthogonal Functions; Functions of a Complex Variable;
Ordinary Differential Equations; Partial Differential Equations. For all readers interested in advanced calculus.
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