Topics in Banach Space Integration

Topics in Banach Space Integration PDF Author: Stefan Schwabik
Publisher: World Scientific
ISBN: 9812703284
Category : Mathematics
Languages : en
Pages : 316

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Book Description
The relatively new concepts of the HenstockKurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The HenstockKurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals.

Topics in Banach Space Integration

Topics in Banach Space Integration PDF Author: Stefan Schwabik
Publisher: World Scientific
ISBN: 9812703284
Category : Mathematics
Languages : en
Pages : 316

Get Book Here

Book Description
The relatively new concepts of the HenstockKurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The HenstockKurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals.

Harmonic Analysis and Number Theory

Harmonic Analysis and Number Theory PDF Author: Carl Herz
Publisher: American Mathematical Soc.
ISBN: 9780821807941
Category : Mathematics
Languages : en
Pages : 248

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Book Description
This volume presents the proceedings of a conference on Harmonic Analysis and Number Theory held at McGill University (Montreal) in April 1996. The papers are dedicated to the memory of Carl Herz, who had deep interests in both harmonic analysis and number theory. These two disciplines have a symbiotic relationship that is reflected in the papers in this book.

Integration of Functions

Integration of Functions PDF Author: G. H. Hardy
Publisher: Cambridge University Press
ISBN: 9780521172226
Category : Mathematics
Languages : en
Pages : 82

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Book Description
This reprint of the second edition of Hardy's volume will allow the reader a fresh exploration of the text.

Studies in History of Mathematics Dedicated to A.P. Youschkevitch

Studies in History of Mathematics Dedicated to A.P. Youschkevitch PDF Author: Eberhard Knobloch
Publisher: Brepols Publishers
ISBN:
Category : Mathematics
Languages : en
Pages : 372

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Book Description
In the framework of the 20th International Congress of History of Science (Liege 1997), a symposium was devoted to the historical work of Adolph P. Youschkevitch (1906-1993). The present volume includes the papers read during the symposium as well as contributions on current issues in the history of mathematics: mathematics as a cultural strength, mathematics from antiquity to the classical period, probability theory and its applications, mathematics in the 19th and 20th centuries.

The Origins and Early Development of Lebesgue's Theory of Integration

The Origins and Early Development of Lebesgue's Theory of Integration PDF Author: Thomas William Hawkins
Publisher:
ISBN:
Category :
Languages : en
Pages : 756

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Book Description


The Integration of Functions of a Single Variable

The Integration of Functions of a Single Variable PDF Author: Godfrey Harold Hardy
Publisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 76

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Book Description


Hypersingular Integrals and Their Applications

Hypersingular Integrals and Their Applications PDF Author: Stefan Samko
Publisher: CRC Press
ISBN: 9780415272681
Category : Mathematics
Languages : en
Pages : 382

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Book Description
Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before building more sophisticated ideas, and his discussions include a description of hypersingular integrals as they relate to functional spaces. Hypersingular Integrals and Their Applications also presents recent results and applications that will prove valuable to graduate students and researchers working in mathematical analysis.

La mechanique génerale

La mechanique génerale PDF Author: Abbé Deidier
Publisher:
ISBN:
Category :
Languages : en
Pages : 846

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Book Description


The Complete Fairy Tales in Verse and Prose (L'integrale Des Contes en Vers Et en Prose)

The Complete Fairy Tales in Verse and Prose (L'integrale Des Contes en Vers Et en Prose) PDF Author: Charles Perrault
Publisher: Courier Corporation
ISBN: 9780486424767
Category : Foreign Language Study
Languages : en
Pages : 262

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Book Description
In the tradition of Aesop, the fables in this entertaining collection also impart practical, moral advice. Included are a trio of tales in verse as well as prose favorites such as "Sleeping Beauty," and "Little Red Riding Hood." English translations appear on pages facing the original French. The most complete edition available in English.

The General Theory of Integration

The General Theory of Integration PDF Author: Ralph Henstock
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Every good mathematical book stands like a tree with its roots in the past and its branches stretching out towards the future. Whether the fruits of this tree are desirable and whether the branches will be quarried for mathematical wood to build further edifices, I will leave to the judgment of history. The roots of this book take nourishment from the concept of definite integration of continuous functions, where Riemann's method is the high water mark of the simpler theory.