Introduction to Analysis of the Infinite

Introduction to Analysis of the Infinite
Author: Leonhard Euler
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461210216


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From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."


Introduction to Analysis of the Infinite
Language: en
Pages: 341
Authors: Leonhard Euler
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analy
An Introduction to Infinite-Dimensional Analysis
Language: en
Pages: 217
Authors: Giuseppe Da Prato
Categories: Mathematics
Type: BOOK - Published: 2006-08-25 - Publisher: Springer Science & Business Media

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Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It sta
An Introduction to Infinite Products
Language: en
Pages: 258
Authors: Charles H. C. Little
Categories: Mathematics
Type: BOOK - Published: 2022-01-10 - Publisher: Springer Nature

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This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student famili
Introduction to Infinite Dimensional Stochastic Analysis
Language: en
Pages: 308
Authors: Zhi-yuan Huang
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematic
Exploring the Infinite
Language: en
Pages: 280
Authors: Jennifer Brooks
Categories: Mathematics
Type: BOOK - Published: 2016-11-30 - Publisher: CRC Press

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Exploring the Infinite addresses the trend toward a combined transition course and introduction to analysis course. It guides the reader through the processes o