Calculus Tutorial (Volume 1) (8th Edition)

Author: F.M. Fikhtengolts
Publisher:
Publish Date: 2006-01-01
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 mathematical analysis course 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, was developed in the early 20th century. Volume I includes single-variable and multivariable differential calculus with their basic applications; Volume II studies the theory of Riemann integration and series theory; Volume III covers multiple integrals, line integrals, surface integrals, Stieltjes integrals, Fourier series, and Fourier transforms... The features of this book are: 1. It contains a large number of examples and applied cases; 2. The material is presented in a clear, detailed, and accurate manner; 3. It maintains the full rigor of the exposition while using minimal set theory (including notation) to help readers easily grasp the content of the course. This book can serve as a reference for teaching mathematical analysis and advanced mathematics courses in various higher education institutions and is an excellent desk reference for mathematical analysis instructors.