University Mathematics (Second Edition) Multivariable Calculus and Its Applications

Author: Xiao Shuitie
Publisher:
Publish Date: 2003-07-31
Features: This book is a national-level planning teaching material for the "Fifteenth Five-Year Plan" by the Ministry of Education, and the second edition of "College Mathematics" published by Higher Education Press in 2000. The content is equivalent to "Multivariable Calculus and Its Applications" in the second edition. The book includes: continuity and differentiation of multivariable functions, integrals with parameters and multiple integrals, line and surface integrals, scalar and vector fields in the plane and space, complex functions, ordinary differential equations and systems of equations. In multivariable functions and vector-valued functions, the book emphasizes the fundamental idea of local linearization and its embodiment—differentiation. In multiple integrals and multiple integrals, it emphasizes the physical approach, avoiding cumbersome mathematical derivations. Complex functions are optional content. The book includes some parts that can be considered as real bivariate vector-valued functions as examples in the corresponding sections, and concisely lists the essence as a separate chapter. The ordinary differential equations section is divided into linear and nonlinear parts; the latter focuses on typical examples. The book is designed for 60-80 teaching hours.