Posted by **tanas.olesya** at Nov. 12, 2014

Springer; 1992 edition | June 18, 1992 | English | ISBN: 038797766X | 493 pages | DJVU | 7 MB

This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.

Posted by **hill0** at March 26, 2018

English | 28 Oct. 2016 | ISBN: 3319319388 | 291 Pages | PDF | 4.23 MB

Posted by **Underaglassmoon** at Nov. 28, 2015

Birkhäuser Basel | Mathematics | December 15, 2015 | ISBN-10: 3319160583 | 521 pages | pdf | 4.35 mb

by Daniel Alpay (Author)

Hints at current state of research

Offers an overview of what a beginning graduate student should know

Posted by **bookwarrior** at Oct. 5, 2015

2015 | 542 Pages | ISBN: 3319160915 | PDF | 5 MB

Posted by **tanas.olesya** at Dec. 13, 2014

English | January 20, 2004 | ISBN: 0387008926 | 440 pages | PDF | 14 MB

This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

Posted by **hill0** at June 29, 2017

English | 25 July 2017 | ISBN: 3319586726 | 228 Pages | PDF | 3.29 MB

Versatile and comprehensive in content, this book of problems will appeal to students in nearly all areas of mathematics. The text offers original and advanced problems proposed from 1995 to 2016 at the Mathematics Olympiads.

Posted by **nebulae** at Jan. 5, 2017

English | 2016 | ISBN-10: 3319421794 | 596 pages | pdf | 4.9 MB

Posted by **roxul** at Dec. 30, 2016

English | ISBN: 1875378847 | 2008 | 176 pages | PDF | 2 MB

Posted by **nebulae** at Nov. 23, 2016

English | 2016 | ISBN-10: 3319421794 | 596 pages | pdf | 4.9 MB

Posted by **Underaglassmoon** at Oct. 31, 2016

Birkhäuser | Mathematics | November 24, 2016 | ISBN-10: 3319421794 | 596 pages | pdf | 4.92 mb

Authors: Alpay, Daniel

Elaborates on connections with electrical engineering and the theory of linear systems

Uses a variety of non-trivial and interesting examples as the basis for exercises (e.g. the Bohr phenomenon, integral representations of certain analytic functions, Blaschke products, and the Schur algorithm)

Some of the exercises use the notions of positive matrix, positive definite function and reproducing kernel Hilbert space