### Analysis 3

#### Semester 2, 2015/2016

Lecturer
Prof. Boris Tsirelson (School of Mathematical Sciences).
Instructor
Rafael Sherbu Cohen.
Prerequisites
Analysis 2; Linear algebra 2a.
The final exam (21.06; 05.08).

### LECTURE NOTES

#### Differentiation

1. Equations, from linear to nonlinear.
2. Applications.

#### TEXTBOOKS

For "Differentiation": Courant, Fleming, Hubbard, Lang, Shifrin, Shurman, Zorich I,II.
For "Integration": Burkill, Hubbard, Lang, Shifrin, Shurman, Zorich II.

• J.C. BURKILL, H. BURKILL, "A second course in mathematical analysis" (1970 Cambridge).
• Richard COURANT, Fritz JOHN, "Introduction to calculus and analysis", vol. 2 (1989 Springer). (Our library has 8 copies.)
• Wendell FLEMING, "Functions of several variables" (1977 Springer). (Our library has 2 copies.)
• John H. HUBBARD, Barbara Burke HUBBARD, "Vector calculus, linear algebra, and differential forms" (2002 Prentice).
• Serge LANG, "Undergraduate analysis" (1997 Springer).
• Theodore SHIFRIN, "Multivariable mathematics" (2005 Wiley).
• Jerry SHURMAN, "Multivariable calculus". (Online only, not printed.)
• Vladimir A. ZORICH, "Mathematical analysis I" (2004 Springer). (Our library has 8 copies.)
• Vladimir A. ZORICH, "Mathematical analysis II" (2004 Springer). (Our library has 8 copies.)
• יורם לינדנשטראוס, "חשבון אינפיניטסימלי מתקדם" חלק ב' (יש לנו 11 עתקים).

#### Two quotes:

The world is not one-dimensional, and calculus doesn't stop with a single independent variable.

James Nearing, Chapter 8 "Multivariable Calculus" of the course "Mathematical Tools for Physics ".

There is nothing more practical than a good theory.

Immanuel Kant 1793 (?) - Gustav Kirchhoff (?) - Ludwig Boltzmann (?) - ...