Calculus Tutorial (Volume 3) (8th Edition)

Author: Fikhtengolts (Russia), translated by Yu Jiaying and Wu Qinren
Publisher:
Publish Date: 2006-02-09
Features: This book is an outstanding work in mathematical science and education. Since its first publication over 50 years ago, it has been reprinted multiple times and remains one of the fundamental textbooks for the course of mathematical analysis in comprehensive universities, technical universities, and normal universities in Russia. It has also been translated into many languages and is widely popular worldwide. The main content of this book, which forms the classical part of modern mathematical analysis that emerged in the early 20th century, includes: Volume I covers single-variable and multivariable differential calculus with their basic applications; Volume II studies the theory of Riemann integration and series theory; Volume III explores multiple integrals, line integrals, surface integrals, Stieltjes integrals, Fourier series, and Fourier transforms. The book's features are: 1. It contains a large number of examples and applied cases; 2. The material is presented in a popular, detailed, and accurate manner; 3. It maintains full rigor in the exposition while using minimal set theory (including notation) to help readers easily grasp the course content. This book can serve as a teaching reference for mathematical analysis and advanced mathematics courses in various higher education institutions and is an excellent desk reference for teachers of mathematical analysis.
(Note: The original Chinese text contains some formatting issues (e.g., "" and asterisks), which have been retained as instructed.)