Download or read book Varieties of Integration written by C. Ray Rosentrater and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Varieties of Integration written by C. Ray Rosentrater and published by The Mathematical Association of America. This book was released on 2015-11-16 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometric Integration Theory written by Hassler Whitney and published by Princeton University Press. This book was released on 2015-12-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Principles of Data Integration written by AnHai Doan and published by Elsevier. This book was released on 2012-06-25 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book The General Theory of Integration written by Ralph Henstock and published by . This book was released on 1991 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Functional Integration written by Pierre Cartier and published by Cambridge University Press. This book was released on 2006-11-30 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lebesgue Integration on Euclidean Space written by Frank Jones and published by Jones & Bartlett Learning. This book was released on 2001 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: "'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" --
Download or read book Measure and Integration written by S. Kesavan (emeritus) and published by . This book was released on 2019 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Techniques and Applications of Path Integration written by L. S. Schulman and published by Courier Corporation. This book was released on 2012-10-10 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Business of Systems Integration written by Andrea Prencipe and published by OUP Oxford. This book was released on 2005-04-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade or so, systems integration has become a key factor in the operations, strategy and competitive advantage of major corporations in a wide variety of sectors (e.g. computing, automotive, telecommunications, military systems and aerospace). Systems integration is a strategic task that pervades business management not only at the technical level but also at the management and strategic levels. This book shows how and why this new kind of systems integration has evolved into an emerging model of industrial organization whereby firms, and groups of firms, join together different types of knowledge, skill and activity, as well as hardware, software, and human resources to produce new products for the marketplace. This book is the first to systematically explore systems integration from a business and innovation perspective. Contributors delve deeply into the nature, dimensions and dynamics of the new systems integration, deploying research and analytical techniques from a wide variety of disciplines including, the theory of the firm, the history of technology, industrial organization, regional studies, strategic management, and innovation studies. This wealth of research capability provides deep insights into the new model of systems integration and supports this with an abundance of empirical evidence. The book is organized in three main parts. The first part focuses on the history of systems integration. Contributors trace the early history of systems integration using different industrial examples. The second part presents theoretical and analytical aspects of systems integration. Contributions concentrate on the regulatory and cognitive features of systems integration, the relationships between systems integration and regional competitive advantage, and the way in which systems integration supports the competitive advantage of firms. The third part takes industry and firm-level approaches. Contributions focus on different sectors and highlight the specificity of systems integration in various industrial domains, stressing its importance for systems integration in the case of complex capital goods, such as aircraft and telecommunications equipment, as well as consumer goods, such as personal computers and automobiles.
Download or read book Enterprise Integration Patterns written by Gregor Hohpe and published by . This book was released on 2003 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Children of the Dream written by Rucker C. Johnson and published by Basic Books. This book was released on 2019-04-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lectures on Complex Integration written by A. O. Gogolin and published by Springer Science & Business Media. This book was released on 2013-10-22 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.
Download or read book Almost Impossible Integrals Sums and Series written by Cornel Ioan Vălean and published by Springer. This book was released on 2019-05-10 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
Download or read book Inside Interesting Integrals written by Paul J. Nahin and published by Springer Nature. This book was released on 2020-06-27 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Download or read book Difference and Sameness as Modes of Integration written by Günther Schlee and published by Berghahn Books. This book was released on 2017-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to “fit in?” In this volume of essays, editors Günther Schlee and Alexander Horstmann demystify the discourse on identity, challenging common assumptions about the role of sameness and difference as the basis for inclusion and exclusion. Armed with intimate knowledge of local systems, social relationships, and the negotiation of people’s positions in the everyday politics, these essays tease out the ways in which ethnicity, religion and nationalism are used for social integration.
Download or read book Irresistible Integrals written by George Boros and published by Cambridge University Press. This book was released on 2004-06-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.
