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Author : M. de Guzman
Publisher : Springer
ISBN 13 : 3540376046
Total Pages : 238 pages
Book Rating : 4.5/5 (43 download)
Download or read book Differentiation of Integrals in Rn written by M. de Guzman and published by Springer. This book was released on 2006-11-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. de Guzman
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differentiation of Integrals in Rn written by M. de Guzman and published by Lecture Notes in Mathematics. This book was released on 1975-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Author : Miguel de Guzmán
Publisher : Springer
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.:/5 (318 download)
Download or read book Differentiation of Integrals in R[Superscript N] written by Miguel de Guzmán and published by Springer. This book was released on 1975 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. M. Bruckner
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.0/5 ( download)
Download or read book Differentiation of Integrals written by A. M. Bruckner and published by . This book was released on 1971 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Niels Jacob
Publisher : World Scientific Publishing Company
ISBN 13 : 9813140984
Total Pages : 789 pages
Book Rating : 4.8/5 (131 download)
Download or read book Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus written by Niels Jacob and published by World Scientific Publishing Company. This book was released on 2016-06-29 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The authors give many examples, illustrations and exercises to help students digest the theory and they employ use of clear and neat notation throughout. I really appreciate their selection of exercises, since many of the problems develop simple techniques to be used later in the book or make connections of analysis with other parts of mathematics. There are also solutions to all of the exercises in the back of the book. As in the first volume there are some real gems in volume II. A Course in Analysis seems to be full of these little gems where the authors use the material or ask the readers to use the material to obtain results or examples that the reader will certainly see again in another context later in their studies of mathematics. Generally, the quality of exposition in both of the first two volumes is very high. I recommend these books.' (See Full Review)MAA ReviewsThis is the second volume of 'A Course in Analysis' and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone-Weierstrass theorem or the Arzela-Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals.The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (-Darboux-Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications.The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes.This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.
Author :
Publisher : Elsevier
ISBN 13 : 0080871577
Total Pages : 407 pages
Book Rating : 4.0/5 (88 download)
Download or read book Real Variable Methods in Fourier Analysis written by and published by Elsevier. This book was released on 1981-01-01 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Variable Methods in Fourier Analysis
Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817646795
Total Pages : 344 pages
Book Rating : 4.8/5 (176 download)
Download or read book Geometric Integration Theory written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
Author : Miguel de Guzmán
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (488 download)
Download or read book Diffentiation of Integrals in Rn written by Miguel de Guzmán and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Murray H. Protter
Publisher : Springer Science & Business Media
ISBN 13 : 0387227490
Total Pages : 284 pages
Book Rating : 4.3/5 (872 download)
Download or read book Basic Elements of Real Analysis written by Murray H. Protter and published by Springer Science & Business Media. This book was released on 2006-03-29 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.
Author : Frank E. Burk
Publisher : American Mathematical Soc.
ISBN 13 : 1614442096
Total Pages : 281 pages
Book Rating : 4.6/5 (144 download)
Download or read book A Garden of Integrals written by Frank E. Burk and published by American Mathematical Soc.. This book was released on 2007-12-31 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, RiemannStieltjes, Lebesgue, LebesgueSteiltjes, HenstockKurzweil, Weiner, and Feynman. The basic properties of each are proved, their similarities and differences are pointed out, and the reason for their existence and their uses are given. There is plentiful historical information. The audience for the book is advanced undergraduate mathematics majors, graduate students, and faculty members. Even experienced faculty members are unlikely to be aware of all of the integrals in the Garden of Integrals and the book provides an opportunity to see them and appreciate their richness. Professor Burk's clear and wellmotivated exposition makes this book a joy to read. The book can serve as a reference, as a supplement to courses that include the theory of integration, and a source of exercises in analysis. There is no other book like it.
Author : Boris Makarov
Publisher : Springer Science & Business Media
ISBN 13 : 1447151224
Total Pages : 780 pages
Book Rating : 4.4/5 (471 download)
Download or read book Real Analysis: Measures, Integrals and Applications written by Boris Makarov and published by Springer Science & Business Media. This book was released on 2013-06-14 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature. This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It examines the concept of the Hausdorff measure, the properties of the area on smooth and Lipschitz surfaces, the divergence formula, and Laplace's method for finding the asymptotic behavior of integrals. The general theory is then applied to harmonic analysis, geometry, and topology. Preliminaries are provided on probability theory, including the study of the Rademacher functions as a sequence of independent random variables. The book contains more than 600 examples and exercises. The reader who has mastered the first third of the book will be able to study other areas of mathematics that use integration, such as probability theory, statistics, functional analysis, partial probability theory, statistics, functional analysis, partial differential equations and others. Real Analysis: Measures, Integrals and Applications is intended for advanced undergraduate and graduate students in mathematics and physics. It assumes that the reader is familiar with basic linear algebra and differential calculus of functions of several variables.
Author : George A. Anastassiou
Publisher : Springer Science & Business Media
ISBN 13 : 0387981284
Total Pages : 672 pages
Book Rating : 4.3/5 (879 download)
Download or read book Fractional Differentiation Inequalities written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful.
Author : Walter Ledermann
Publisher : Springer Science & Business Media
ISBN 13 : 9401160910
Total Pages : 115 pages
Book Rating : 4.4/5 (11 download)
Download or read book Multiple Integrals written by Walter Ledermann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give an elementary treatment of multiple integrals. The notions of integrals extended over a curve, a plane region, a surface and a solid are introduced in tum, and methods for evaluating these integrals are presented in detail. Especial reference is made to the results required in Physics and other mathematical sciences, in which multiple integrals are an indispensable tool. A full theoretical discussion of this topic would involve deep problems of analysis and topology, which are outside the scope of this volume, and concessions had to be made in respect of completeness without, it is hoped, impairing precision and a reasonable standard of rigour. As in the author's Integral Calculus (in this series), the main existence theorems are first explained informally and then stated exactly, but not proved. Topological difficulties are circumvented by imposing some what stringent, though no unrealistic, restrictions on the regions of integration. Numerous examples are worked out in the text, and each chapter is followed by a set of exercises. My thanks are due to my colleague Dr. S. Swierczkowski, who read the manuscript and made valuable suggestions. w. LEDERMANN The University of Sussex, Brighton.
Author : Dragoslav S. Mitrinovic
Publisher : Springer Science & Business Media
ISBN 13 : 9401135622
Total Pages : 602 pages
Book Rating : 4.4/5 (11 download)
Download or read book Inequalities Involving Functions and Their Integrals and Derivatives written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the ~l moil ..., Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'(ftre of this series.
Author : James J Yeh
Publisher : World Scientific
ISBN 13 : 9813200421
Total Pages : 308 pages
Book Rating : 4.8/5 (132 download)
Download or read book Metric In Measure Spaces written by James J Yeh and published by World Scientific. This book was released on 2019-11-18 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation. The book closes this gap.
Author : Miguel de Guzm©Łn
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)
Download or read book Differentation of Integrals in Rn written by Miguel de Guzm©Łn and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stefan Samko
Publisher : CRC Press
ISBN 13 : 9780415272681
Total Pages : 382 pages
Book Rating : 4.2/5 (726 download)
Download or read book Hypersingular Integrals and Their Applications written by Stefan Samko and published by CRC Press. This book was released on 2001-10-25 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
