Mathematical Analysis I

• Main Author: Zorich, Vladimir A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Edition: 2nd ed. 2015.
• Series: Universitext,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Physics.; Analysis.; Theoretical, Mathematical and Computational Physics.

VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a pa...

Table of Contents:

• 1 Some General Mathematical Concepts and Notation
• 2 The Real Numbers
• 3 Limits
• 4 Continuous Functions
• 5 Differential Calculus
• 6 Integration
• 7 Functions of Several Variables
• 8 Differential Calculus in Several Variables
• Some Problems from the Midterm Examinations
• Examination Topics
• Appendices
• References
• Subject Index
• Name Index.