Read e-book online Theory and Application of Infinite Series (Dover Books on PDF

By Konrad Knopp

ISBN-10: 0486661652

ISBN-13: 9780486661650

This vintage paintings, written in a transparent and engaging type, with many routines, deals an intensive and trustworthy remedy of a huge department of upper research. It lends itself good to exploit in path paintings; in spite of the fact that, as a result of its constant transparent illustrations of theoretical problems, the publication can be perfect for self-study.
Since all larger research will depend on the idea of numbers, Professor Knopp (formerly Professor of arithmetic, college of Tübingen) starts with an creation to the speculation of genuine numbers, an quintessential origin for what's to return. This advent is via an in depth account of the speculation of sequences and the particular idea of endless sequence. The latter is roofed in phases: (1) the classical thought (2) later advancements of the nineteenth century.
Carefully chosen routines were incorporated all through, emphasizing purposes of the speculation, instead of only theoretical considerations.
Aimed at scholars already conversant in the weather of differential and fundamental calculus, this paintings grew out of the author's lectures and path paintings on the universities of Berlin and Königsberg. This pedagogical historical past helped him in achieving a piece of maximum readability and precision — person who belongs within the library of each critical mathematician or scholar of upper analysis.

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Theory and Application of Infinite Series (Dover Books on Mathematics) by Konrad Knopp


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