---

＜電子ブック＞
Problems and Theorems in Analysis I : Series. Integral Calculus. Theory of Functions / by George Polya, Gabor Szegö
(Classics in Mathematics. ISSN:25125257)

版	1st ed. 1998.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1998
本文言語	英語
大きさ	XIX, 393 p : online resource
冊子体	Series, integral calculus, theory of functions / G. Pólya, G. Szegö ; translation by D. Aeppli ; : gw,: us
著者標目	*Polya, George author Szegö, Gabor author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	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 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) Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-642-61983-0

 類似資料