Multi-Variable Calculus: A First Step
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Description
This book is a concise yet complete calculus textbook covering all essential topics in multi-variable calculus, including geometry in three-dimensional space, partial derivatives, maximum/minimum, multiple integrals and vector calculus as well as a chapter for ODE. All the chapters are constructed in a logical way to outline the essence of each topic and to address potential difficulties arising from learning. Covering key contents in multi-variable calculus in a concise way. Providing a summary for each chapter. Including exercises at the end of each chapter. Adapting to students' learning behaviors. Contents Introduction 1. Vectors and the geometry of space 2. Functions of multiple variables 3. Multiple integrals 4. Line and surface integrals 5. Introduction to ordinary differential equations Further reading Index
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