Author | Pรณlya, George. author |
---|---|
Title | Problems and Theorems in Analysis I [electronic resource] : Series. Integral Calculus. Theory of Functions / by George Pรณlya, Gabor Szegรถ |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1998 |
Connect to | http://dx.doi.org/10.1007/978-3-642-61983-0 |
Descript | XIX, 393 p. online resource |
One Infinite Series and Infinite Sequences -- 1 Operations with Power Series -- 2 Linear Transformations of Series. A Theorem of Cesร ro -- 3 The Structure of Real Sequences and Series -- 4 Miscellaneous Problems -- Two Integration -- 1 The Integral as the Limit of a Sum of Rectangles -- 2 Inequalities -- 3 Some Properties of Real Functions -- 4 Various Types of Equidistribution -- 5 Functions of Large Numbers -- Three Functions of One Complex Variable. General Part -- 1 Complex Numbers and Number Sequences -- 2 Mappings and Vector Fields -- 3 Some Geometrical Aspects of Complex Variables -- 4 Cauchyโs Theorem โข The Argument Principle -- 5 Sequences of Analytic Functions -- 6 The Maximum Principle -- Author Index