Calculus I

Name: Calculus I
ISBN: 9787566806734

Xu Ming / 苏继红 / 符才冠Jinan University Press · ChinaAug 2020

3.5

Word count: 71 words
Chapters: 14
ISBN: 9787566806734

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Summary

This book presents the fundamentals of calculus in a scientific and systematic way, with emphasis on calculus methods and their applications in economics and management. Each chapter includes exercises. It can serve as a calculus textbook for undergraduate programs in economics and management, agriculture, and the humanities, as well as a reference for self-study and graduate entrance exam preparation.

Editor's review

Published by Jinan University Press and co-edited by three experienced teachers—Su Jihong, Fu Caiguan, and Xu Ming—Calculus I is a foundational textbook for students in science, engineering, economics, and management at higher education institutions. The book systematically introduces core topics such as functions, limits and continuity, derivatives and differentials, the mean value theorem and applications of derivatives, indefinite integrals, and definite integrals and their applications. Its organization follows the classic logical sequence of mathematics, moving from the concrete to the abstract and progressing step by step. Compared with textbooks that pursue difficult techniques, this book focuses more on clearly explaining basic concepts and principles; the examples and exercises are chosen to be both foundational and representative, aiming to help students build a solid knowledge framework for calculus. For learners encountering higher mathematics for the first time, the book's plain language and step-by-step explanations can effectively lower the entry barrier and reduce anxiety. However, the book's positioning is very clear: as a rigorous teaching text, it does not seek to explore frontier mathematical ideas, nor is it known for entertainment value; its core value lies in providing a reliable, clear learning path. For students who wish to deeply understand the essence of calculus ideas and use them as a tool in subsequent specialized courses, this book is a solid cornerstone.

Who it's for

A good fit for

First-year students in science and engineering at higher education institutions who need to systematically study calculus fundamentals
Students in economics and management for whom calculus is a core mathematical tool
Self-learners of higher mathematics who want a textbook with clear structure and solid explanations
Working professionals or graduate entrance exam candidates who need to review calculus fundamentals

Not a good fit for

Readers seeking the philosophical ideas or historical development of calculus
Learners who have already mastered undergraduate calculus and wish to study more advanced analysis theory or modern applications

Reading tips

Study the chapters in order; do not skip ahead, and make sure you thoroughly understand foundational concepts such as limits before moving on.
Completing the exercises after each section independently is essential—it is the best way to test your understanding and consolidate key points.
Use graphs to intuitively understand the geometric meaning of derivatives and integrals, connecting abstract definitions with concrete images.

About the publisher

Jinan University Press China · Founded in 1989

Jinan University Press is a comprehensive university press known for publishing in language and writing, history and culture, and medicine. Judging from the 2,481 titles in the database, its publishing focuses on language and writing research, the compilation of unearthed documents, Chinese culture and Eastern philosophy, traditional Chinese medicine, and grassroots medical standards. Representative books include the Chinese Dictionary (Second Edition), the series on the collected interpretation and modern translation of Warring States documents from the Language Services Series and the series on the language of unearthed documents, Chinese Cultural Psychology (6th Edition), Illustrated Compendium of Traditional Chinese Medicine Processing Techniques, and Construction and Technical Standards for Standardized Bronchoscopy Rooms in Primary-Level Pediatrics. In terms of authors, scholars such as Zhu Cheng, Zhang Yujin, Wang Fengyan, Zheng Hong, Cao Hui and Ma Zhiguo form its author base in language and documents, cultural psychology, and traditional Chinese medicine. In terms of publishing characteristics, the press emphasizes the collected interpretation and modern translation of unearthed documents and language service research, while also systematically organizing cultural psychology and medical techniques. Public information on specific matters such as overseas Chinese-language education is limited and is therefore not elaborated here.

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FAQ

Is this book suitable for students with a relatively weak mathematical foundation?

The book is written in a plain style, emphasizes step-by-step derivation of basic concepts, and explains examples in detail, making it a good introductory textbook for students with a weak foundation. However, learning calculus itself requires some background in algebra and functions, so reviewing relevant elementary mathematics in advance is recommended.

Does this book have a companion exercise solutions manual?

As a classic textbook, it usually has companion exercise guides or study aids published alongside it. Readers are advised to check the publisher's official information or relevant teaching resource platforms for accurate details on companion materials.

What level can be reached after studying this book?

After completing this book, readers should be able to skillfully master the basic concepts, calculation methods, and initial applications of single-variable calculus, solve related typical problems, and lay the necessary mathematical foundation for studying Calculus II (multivariable calculus) or subsequent specialized courses (such as physics, engineering, and economics).

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About the author

Xu Ming Author · Chinese · 1949

Xu Ming, born in 1949, is a Chinese scholar and author with 12 works listed in this catalog. According to available information, he has long been engaged in aesthetics, literary studies and contemporary cultural research. He is the author of The Cognitive Structure of Beauty and The Cultural Code of Yuan Blue-and-White Porcelain, and chief editor of the eleven-volume History of Chinese Aesthetic Trends, which received the Fifth National Book Award. His writing spans both academic research and general reading, covering literary appreciation, folk literature and foreign literature, as well as practical titles such as Analysis of Enterprise Income Tax Policy and Practice, indicating a broad range of subjects. The catalog also includes works titled with "translated by Xu Yuanchong," such as The Peony Pavilion, The Palace of Eternal Life, Romance of the Western Chamber, The Peach Blossom Fan and Thousand Family Poems, along with Making Falsehood True and Sentiment and Sentimentlessness. Due to limited public information, details of his life and writing background cannot be fully verified, yet his works show a plain style that bridges scholarship and popularization.

苏继红 Author

Su Jihong is an author about whom limited public information is available. What is currently known is that two works appear under this name, both centered on calculus, a foundational mathematics course: Calculus I and Calculus II. These works are classified under popular science and examinations, suggesting that their content serves both readers who need to study calculus systematically and those preparing for exams or reviewing coursework. Judging from the subject matter, the author focuses on the introductory stage of higher mathematics, and the writing likely emphasizes combining conceptual explanation with exercise practice, aiming to make abstract topics such as limits, derivatives, and integrals clear and approachable. Because little is known about the author's life and academic background, their identity and experience cannot be confirmed; based on these two works alone, however, Su Jihong has made a sustained effort in calculus textbooks and exam preparation, offering learners a coherent set of study materials.

符才冠 Author

Fu Caiguan is an author about whom little information is publicly available; his nationality, dates of birth and death, and personal history cannot be confirmed, and no English name has been recorded. Within the available records, two works appear under his name: Calculus I and Calculus II. Both are basic mathematics textbooks, commonly classified under popular science and examination preparation. Judging from their titles and subject matter, Fu Caiguan's writing centers on introductory higher mathematics, covering the fundamental concepts, computational methods, and problem-solving practice of calculus of one variable, aimed at students and exam candidates. Textbooks of this kind typically favor clear organization and paired examples and exercises, helping readers build knowledge step by step. Because public information is limited, further details about the author's academic background and writing style cannot be added.