Calculus Lecture Notes (Second Edition)

Author: Kuang Rongyu
Publisher:
Publish Date: 2006-01-01
Features: This book is divided into four volumes. The first volume is an introduction to single-variable and multivariable calculus; the second volume covers the theory and methods of single-variable calculus; the third volume deals with the theory and computation of multivariable calculus. These three volumes can serve as textbooks or reference materials for the undergraduate mathematics analysis course in mathematics departments. The last volume is a special volume, containing several selected topics for teaching use or extracurricular reference. This book was written by the author based on the experience of teaching reforms in the undergraduate mathematics analysis course at the Department of Mathematics, Beijing Normal University in recent years. The author divides the content of the current mathematics analysis course into two stages (first focusing on concepts and computation, then on theory and methods) for instruction, achieving the expected teaching outcomes. The content of this volume includes the limit theory of single-variable (numerical) functions, the fundamental theory of single-variable calculus, series of terms and improper integrals, series of functions and function expansion, and integrals with parameters.