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Higher Math for Beginners (Mostly Physicists and Engineers)

This book is a joint attempt of a physicist and a mathematician to write an entirely new type of book for future scientists and engineers. … The purpose of this book is to enable the future physicist (chemist, engineer etc.) to use higher mathematics in his or her work by mastering its methods without going into full logical substantiation of them, allowing the student to view mathematics as a section of natural sciences and to solve as many concrete problems as possible. This book is intended for beginners, that is, for high-school students in the upper grades, students of trade schools and vocational schools, and students in the first years of college. We also have in mind anyone who by himself wishes to become better acquainted with higher mathematics, say, people who finished school some years ago The book was translated from the Russian by Eugene Yankovsky and was first published by Mir in 1987. Contents Part 1. Elements of Higher Mathematics Chapter 1. Functions and Graphs Chapter 2. What is a derivative? Chapter 3. What is an integral? Chapter 4. Calculation of derivatives Chapter 5. Integration Techniques Chapter 6. Series, Simple Differential Equations Chapter 7. Investiga

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