Calculus. Volume 1

Author: Song Kaitai
Publisher:
Publish Date: 2005-12-01
Features: This book is suitable for use as a textbook for the public basic mathematics course in universities for science and engineering majors. It includes topics such as functions and limits, derivatives and differentials, indefinite integrals, definite integrals and their applications, improper integrals, infinite series, and Fourier series. The book emphasizes both theory and application, with concise content, rigorous reasoning, and abundant examples. It focuses on guiding students in understanding problem-solving methods, making it convenient for self-study. The exercises after each section and the comprehensive review exercises at the end of each chapter cover comprehensive knowledge points, and the book also provides answers and hints for the exercises, which helps students review and improve their understanding. It can also assist students preparing for postgraduate entrance exams. The book systematically explains topics such as functions and limits, continuous functions; derivatives and differentials; mean value theorems and applications of derivatives; indefinite integrals; definite integrals and their applications, improper integrals, infinite series, and Fourier series.