| Dewey Class |
515 |
| Title |
Problems and Theorems in Analysis I ([EBook]) : Series. Integral Calculus. Theory of Functions / by George Pólya, Gabor Szegö. |
| Author |
Pólya, George. , 1887-1985 |
| Added Personal Name |
Szegö, Gábor, , 1895-1985 |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 1998. |
| Physical Details |
XIX, 393 pages : online resource. |
| Series |
Classics in mathematics 0072-7830 ; ; 193 |
| ISBN |
9783642619830 |
| Summary Note |
From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems. These volumes contain many extraordinary problems and sequences of problems, mostly from some time past, well worth attention today and tomorrow. Written in the early twenties by two young mathematicians of outstanding talent, taste, breadth, perception, perseverence, and pedagogical skill, this work broke new ground in the teaching of mathematics and how to do mathematical research. (Bulletin of the American Mathematical Society).: |
| Contents note |
One Infinite Series and Infinite Sequences -- 1 Operations with Power Series -- 2 Linear Transformations of Series. A Theorem of Cesàro -- 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 Cauchy’s Theorem • The Argument Principle -- 5 Sequences of Analytic Functions -- 6 The Maximum Principle -- Author Index. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-642-61983-0 |
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