Concise Calculus

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book Concise Calculus by Sheng Gong, Youhong Gong, World Scientific Publishing Company
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Author: Sheng Gong, Youhong Gong ISBN: 9789813222632
Publisher: World Scientific Publishing Company Publication: February 3, 2017
Imprint: WSPC Language: English
Author: Sheng Gong, Youhong Gong
ISBN: 9789813222632
Publisher: World Scientific Publishing Company
Publication: February 3, 2017
Imprint: WSPC
Language: English

Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.

This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

Contents:

  • Basic Concepts
  • Calculations of Derivatives and Integrals
  • Some Applications of Differentiation and Integration
  • Ordinary Differential Equations
  • Vector Algebra and Analytic Geometry in Three-Dimensional Space
  • Multiple Integrals and Partial Derivatives
  • Line Integrals, Surface Integrals and Exterior Differential Forms
  • Some Applications of Calculus in Several Variables
  • The ε-δ Definitions of Limits
  • Infinite Series and Infinite Integrals
  • Fourier Series and Fourier Integrals

Readership: Undergraduate students in mathematics, physics, engineering and computer science.

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Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.

This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

Contents:

Readership: Undergraduate students in mathematics, physics, engineering and computer science.

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