Advanced Calculus (4th Edition)

This fourth edition offers a comprehensive overview of advanced calculus in a highly readable format. The book offers substantial coverage of vector and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometric and physical significance of mathematical relations. Numerical methods are touched on at various points because of their practical value and the insights they give about theory. A book for an advanced calculus course. Though its relatively small size, the book approaches a wide content. The treatment is simple and objective. Among the topics covered are included several variables differential and integral calculus (vol. 1), vectorial calculus (vol. 1), special functions (vol. 2), sequences and series (vol. 2), Fourier series (vol. 2), complex variables (vol. 2) and ordinary and partial differential equations (vol. 2).