Multivariable Calculus and Algebra

Author: Luo Han
Publisher:
Publish Date: 1999-03-01
Features: This book is the second volume in the series of advanced mathematics textbooks. It covers topics such as linear algebra, spatial analytical geometry, calculus of multivariable functions, field theory, Fourier series, integral transforms, and partial differential equations. Each section is accompanied by a sufficient number of exercises, and answers to the exercises are provided at the end of the book. The book appropriately adjusts the traditional content structure of advanced mathematics and differs from previous similar textbooks in some aspects, such as strengthening the connection between algebra, geometry, and calculus, using vectors and matrices as tools to handle multivariable calculus, and unifying the concept of Riemann integration. The book incorporates some modern mathematical perspectives and ideas and provides extensions for further development of the content. The entire book is well-structured, concise, clear, and highlights key points with numerous examples. It can serve as a textbook for advanced mathematics courses in various higher education institutions. It can also be used as a self-study or reference book for engineering and technical personnel and others.