Mathematical analysis II (differential calculus)

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

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