Calculus cover

Calculus

Rating 3.4
Word count
70 words
Chapters
7
ISBN
9787301261040

Tags

Summary

This textbook is designed for Calculus courses at second- and third-tier undergraduate institutions and independent colleges. It was carefully written by experienced frontline instructors in accordance with the training requirements of independent colleges and the actual circumstances of their students. The content of the standard calculus curriculum has been appropriately adjusted: with a low starting point, detailed explanations, and systematic summaries, the book takes full account of students with weaker mathematical foundations, enabling them to complete the course successfully and master the essential mathematical knowledge within a limited number of class hours.

Editor's review

This is a clearly positioned introductory calculus textbook written for students at second- and third-tier undergraduate institutions and independent colleges. In line with training requirements and students' actual mathematical foundations, the authors have appropriately adjusted the standard calculus content, using a low starting point, detailed explanations, and systematic summaries to lower the entry threshold, so that students with weaker foundations can master the essential mathematical knowledge within fewer class hours. Its strength lies not in the completeness of the theoretical system or the challenge of the exercises, but in its patient treatment of concept introduction, step-by-step development, and common pitfalls; it suits readers who have limited classroom hours and need to learn progressively. It should be used by following the chapter order, completing exercises alongside classroom instruction, and reviewing earlier summaries promptly whenever a gap appears. Readers aiming at postgraduate entrance examinations in mathematics or advanced study in mathematics itself should supplement it with more in-depth textbooks and exercise collections.

Who it's for

A good fit for

  • Students at second- and third-tier undergraduate institutions and independent colleges taking calculus courses with weaker mathematical foundations
  • Science, engineering, economics, and management students at universities with limited class hours who need a low-starting-point textbook to follow
  • Self-learners who wish to read concepts and examples in detail step by step and gradually fill gaps in their mathematical foundations
  • Instructors selecting textbooks for calculus courses at independent colleges or applied undergraduate programs

Not a good fit for

  • Readers preparing for postgraduate entrance examinations in mathematics or mathematics-major courses who need high-difficulty theory and exercises
  • Readers with a solid calculus foundation seeking advanced topics or rigorous proofs
  • Self-learners hoping to cover the complete system of mathematical analysis with a single textbook

Reading tips

  1. Read in chapter order: first understand the concept introductions and example steps, then work through the basic end-of-chapter exercises.
  2. After each chapter, use the book's summaries to review key points, and organize easily mistaken steps into a single page of notes.
  3. Do not skip over gaps in derivations; review the relevant concepts from the preceding section first, then return to the current content.
  4. Use the book alongside classroom progress; when class hours are tight, prioritize the basic problem types marked as essential.

About the publisher

Peking University Press China · Founded in 1979

Peking University Press is a comprehensive university press whose publishing areas cover classical literature, popular science, social culture, world history, Western philosophy, and culture. Its catalogue contains 6,031 titles, with representative books including A Dream of Red Mansions, Relativity: The Special and General Theory (15th Edition) (with Einstein's classic papers on unified field theory and other topics), Elements, Conics, The Aristocratic Families of the Eastern Jin, The Philosophy of Mythology (Volume I), The Philosophy of Mythology (Volume II), and The Origin of Continents and Oceans. Representative authors include Cao Xueqin, Zhou Ruchang, Albert Einstein, Euclid, Apollonius, Tian Yuqing, Schelling, and Xian Gang. The press has developed distinctive strengths in classical Chinese literature and in the translation of Western philosophical classics, while also covering scientific classics and social and cultural studies. As public information is limited, this description is based only on the books in the catalogue and offers no further extrapolation.

Contents

  1. 版权信息
  2. 1
  3. 2
  4. 3
  5. 4
  6. 5
  7. 6

FAQ

My mathematical foundation is weak. Can I keep up with the course using this book?
This book is written specifically for students at second- and third-tier undergraduate institutions and independent colleges. It adopts a low starting point, detailed explanations, and systematic summaries, and appropriately adjusts the standard calculus content to accommodate students with weaker mathematical foundations. As long as you read in chapter order, earnestly complete the basic exercises, and promptly review earlier content whenever you encounter a gap, you can generally master the essential mathematical knowledge within fewer class hours.
Is this book suitable for preparing for the postgraduate entrance examination in mathematics?
This book is positioned as a calculus course textbook for second- and third-tier undergraduate institutions, focusing on a low starting point and detailed explanations for students with weaker foundations; it does not aim at the high-difficulty comprehensive training of the postgraduate entrance examination in mathematics. If that is your goal, after mastering the basics in this book, supplement it with a comprehensive review book and exercise collection aligned with the examination syllabus to add training in more comprehensive and technique-oriented problems.
With limited class hours, how can I arrange my reading more efficiently?
Prioritize the concept introductions and example analyses in each chapter to master the basic methods and typical steps, then complete the basic exercises for consolidation. Use the book's summaries to quickly review key points and concentrate your limited time on essential knowledge. For more advanced content or material not covered in class, mark it first and leave it for later reading, so as not to spend too many class hours on minor details.

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About the author

彭勤文 Author · China

Peng Qinwen is a Chinese author about whom little public information is available, and whose known works are all related to the study of calculus. The library holds two of his works, Calculus Study Guide and Calculus, commonly classified under examinations, which suggests that his writing is mainly aimed at the study and exam preparation needs of university calculus courses. In terms of subject matter, such books usually center on core topics such as limits, derivatives, and integrals, emphasizing the organization of key concepts, explanations of typical examples, and exercise practice to help readers understand concepts and master problem-solving methods. As the compiler of study-guide materials, Peng Qinwen's writing style tends to be practical and clearly organized, stressing the summary of examination points and the targeted nature of practice, making the books suitable for students to use alongside textbooks and for reviewing and filling gaps. Because verifiable biographical information about the author is scarce, his specific identity and experience remain uncertain, and readers may refer to the two works above to understand his approach to calculus teaching and tutoring.

马祖强 Author · Chinese

Ma Zuqiang is a Chinese author about whom limited public information is available. At present, it is known only that one book appears under his name, namely Calculus. According to the library's classification, the book is placed in the examination category, suggesting that its writing and publication are oriented toward exam preparation and study support, and that it may be used by readers as review material or within a supplementary teaching series. Calculus is itself a foundational subject in higher mathematics, with a large and steady body of examinees; books of this kind usually emphasize the organization of key concepts, mastery of formulas, and practice in problem solving, so this volume can be understood in light of the general features of similar study guides. Because more specific information about the author is unavailable, his educational background, professional positions, and writing activities cannot be determined, and this introduction can only offer an objective account based on the available bibliographic facts. Readers who wish to learn more about the author and the work are advised to consult the book's preface, copyright page, and related publishing notes for more reliable information.

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