Higher Math for Beginners

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

Selected Readings

Appendices

Hints, Answers and Solutions

Name Index

Subject Index