The book in this post is one of the best introductory books for Higher Mathematics and it has been written by two exceptionally talented people, namely, Yakov B. Zeldovich and Issak M. Yaglom. Just visit the wikipedia pages to see their achievements. If only all the outstanding people in their fields wrote books at popular level, we would be living in a different world. The complete title of the book reads Higher Maths for Beginners (Mostly Engineers and Scientists).
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.
You can get the book here.
All credits to the original uploader.
Update: Posted Internet Archive Link 03 December 2015
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. Investigation of Functions, Some Problems of Geometry
Part 2. Higher Math Applied to Problems of Engineering and Physics
Chapter 8. Radioactive Decay and Nuclear Fission
Chapter 9. Mechanics
Chapter 10. Oscillations
Chapter 11. The Thermal Motion of Molecules. The Distribution of Air Density in Atmosphere
Chapter 12. Absorption and Emission of Light. Lasers
Chapter 13. Electric Circuits and Oscillatory Phenomena In Them
Part 3. Some Additional Topics
Chapter 14. Complex Numbers
Chapter 15. Functions The Physicist Needs
Chapter 16. Dirac’s Remarkable Delta Functions
Chapter 17. Applying Functions of a Complex Variable and The Delta Functions
Conclusion: What Next
Hints, Answers and Solutions