TY  - BOOK
AU  - Zorich,Vladimir A.
TI  - Mathematical analysis I
T2  - Universitext 
SN  - 9783662487907
U1  - 515 23
PY  - 2016///
CY  - New York
PB  - Springer
KW  - Mathematical analysis
N1  - Includes bibliographical references and indexes; 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: Their Limits and Continuity --
 8 The Differential Calculus of Functions of Several Variables --
 Some Problems from the Midterm Examinations --
 Examination Topics --
 Appendices --
 References --
 Subject Index --
 Name Index
N2  - This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis
ER  -