Mathematical analysis II (differential calculus) - course

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.


  • 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 :2016-03-26 02:53:12
Size :3.09 MB
File type :pdf
Pages :407
Downloads :7
In the same category
Mathematical analysis I (differential calculus)
Cours Mathematical analysis I (differential calculus) (PDF, 1.2 MB)
Mathematical Analysis (Volume II)
Cours Mathematical Analysis (Volume II) (PDF, 2.57 MB)
Mathematical Analysis (Volume I)
Cours Mathematical Analysis (Volume I) (PDF, 2.51 MB)
Differential and integral calculus
Cours Differential and integral calculus (PDF, 728.21 KB)