This book contains ten chapters and an appendix with exam samples and a table with some basic formulas for primitives (antiderivatives). Since I successively introduced in the first volume ([Po]) basic elements of complex functions theory, I continued here with some basic remarks on integrals of functions with a complex variable, residues theory and some of their applications.
Contents
- Chapter 1. Indefinite integrals (Primitives, Antiderivatives)
- Chapter 2. Definite integrals
- Chapter 3. Improper (generalized) integrals
- Chapter 4. Integrals with parameters
- Chapter 5. Line integrals
- Chapter 6. Double integrals
- Chapter 7. Triple integrals
- Chapter 8. Surface integrals
- Chapter 9. Gauss and Stokes formulas. Applications
- Chapter 10. Some remarks on complex functions integration
- Appendix A. Exam samples
- Appendix B. Basic antiderivatives
| Description : | Here is the second volume Mathematical Analysis II. Integral Calculus of my course of Advanced Calculus for Engineers and beginning Mathematicians. PDF course. |
| Level : | Advanced |
| Created : | March 25, 2016 |
| Size : | 2.98 MB |
| File type : | |
| Pages : | 407 |
| Author : | SEVER ANGEL POPESCU |
| Downloads: | 192 |
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