Varieties of Integration PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Varieties of Integration PDF full book. Access full book title Varieties of Integration by C. Ray Rosentrater. Download full books in PDF and EPUB format.
Author: C. Ray Rosentrater
Publisher: American Mathematical Soc.
ISBN: 1614442177
Category : Mathematics
Languages : en
Pages : 325
Get Book Here
Book Description
Historical introduction -- The Riemann integral -- The Darboux integral -- A functional zoo -- Another approach : measure theory -- The Lebesgue integral -- The Gauge integral -- Stieltjes-type integrals and extensions -- A look back -- Afterword : L2 spaces and Fourier series
Author: C. Ray Rosentrater
Publisher: American Mathematical Soc.
ISBN: 1614442177
Category : Mathematics
Languages : en
Pages : 325
Get Book Here
Book Description
Historical introduction -- The Riemann integral -- The Darboux integral -- A functional zoo -- Another approach : measure theory -- The Lebesgue integral -- The Gauge integral -- Stieltjes-type integrals and extensions -- A look back -- Afterword : L2 spaces and Fourier series
Author: C. Ray Rosentrater
Publisher: The Mathematical Association of America
ISBN: 0883853590
Category : Mathematics
Languages : en
Pages : 343
Get Book Here
Book Description
Varieties of Integration explores the critical contributions by Riemann, Darboux, Lebesgue, Henstock, Kurzweil, and Stieltjes to the theory of integration and provides a glimpse of more recent variations of the integral such as those involving operator-valued measures. By the first year of graduate school, a young mathematician will have encountered at least three separate definitions of the integral. The associated integrals are typically studied in isolation with little attention paid to the relationships between them or to the historical issues that motivated their definitions. Varieties of Integration redresses this situation by introducing the Riemann, Darboux, Lebesgue, and gauge integrals in a single volume using a common set of examples. This approach allows the reader to see how the definitions influence proof techniques and computational strategies. Then the properties of the integrals are compared in three major areas: the class of integrable functions, the convergence properties of the integral, and the best form of the Fundamental Theorems of Calculus.
Author: Hassler Whitney
Publisher: Princeton University Press
ISBN: 1400877571
Category : Mathematics
Languages : en
Pages : 404
Get Book Here
Book Description
A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: AnHai Doan
Publisher: Elsevier
ISBN: 0123914795
Category : Computers
Languages : en
Pages : 522
Get Book Here
Book Description
Principles of Data Integration is the first comprehensive textbook of data integration, covering theoretical principles and implementation issues as well as current challenges raised by the semantic web and cloud computing. The book offers a range of data integration solutions enabling you to focus on what is most relevant to the problem at hand. Readers will also learn how to build their own algorithms and implement their own data integration application. Written by three of the most respected experts in the field, this book provides an extensive introduction to the theory and concepts underlying today's data integration techniques, with detailed, instruction for their application using concrete examples throughout to explain the concepts. This text is an ideal resource for database practitioners in industry, including data warehouse engineers, database system designers, data architects/enterprise architects, database researchers, statisticians, and data analysts; students in data analytics and knowledge discovery; and other data professionals working at the R&D and implementation levels. - Offers a range of data integration solutions enabling you to focus on what is most relevant to the problem at hand - Enables you to build your own algorithms and implement your own data integration applications
Author: S. Kesavan (emeritus)
Publisher:
ISBN: 9789811366796
Category : Functional analysis
Languages : en
Pages : 232
Get Book Here
Book Description
This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.
Author: Ralph Henstock
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 288
Get Book Here
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.
Author: Pierre Cartier
Publisher: Cambridge University Press
ISBN: 1139462881
Category : Science
Languages : en
Pages : 7
Get Book Here
Book Description
In this text, Cartier and DeWitt-Morette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool.
Author: Frank Jones
Publisher: Jones & Bartlett Learning
ISBN: 9780763717087
Category : Computers
Languages : en
Pages : 626
Get Book Here
Book Description
"'Lebesgue Integration on Euclidean Space' contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. It contains many exercises that are incorporated throughout the text, enabling the reader to apply immediately the new ideas that have been presented" --
Author: L. S. Schulman
Publisher: Courier Corporation
ISBN: 0486137023
Category : Science
Languages : en
Pages : 434
Get Book Here
Book Description
Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.
Author: Rucker C. Johnson
Publisher: Basic Books
ISBN: 1541672690
Category : Social Science
Languages : en
Pages : 336
Get Book Here
Book Description
An acclaimed economist reveals that school integration efforts in the 1970s and 1980s were overwhelmingly successful -- and argues that we must renew our commitment to integration for the sake of all Americans We are frequently told that school integration was a social experiment doomed from the start. But as Rucker C. Johnson demonstrates in Children of the Dream, it was, in fact, a spectacular achievement. Drawing on longitudinal studies going back to the 1960s, he shows that students who attended integrated and well-funded schools were more successful in life than those who did not -- and this held true for children of all races. Yet as a society we have given up on integration. Since the high point of integration in 1988, we have regressed and segregation again prevails. Contending that integrated, well-funded schools are the primary engine of social mobility, Children of the Dream offers a radical new take on social policy. It is essential reading in our divided times.
