Download or read book Real Functions Current Topics written by Vasile Ene and published by Springer. This book was released on 2006-11-14 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books devoted to the theory of the integral have ignored the nonabsolute integrals, despite the fact that the journal literature relating to these has become richer and richer. The aim of this monograph is to fill this gap, to perform a study on the large number of classes of real functions which have been introduced in this context, and to illustrate them with many examples. This book reports on some recent advances in the theory of real functions and can serve as a textbook for a course in the subject, and to stimulate further research in this exciting field.
Download or read book A Second Course on Real Functions written by A. C. M. van Rooij and published by Cambridge University Press. This book was released on 1982-03-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. All too often little attention is paid to to this side of the theory and in writing this account of the theory of real functions the authors hope to rectify matters. They have put the classical theory of real functions in a modern setting and in so doing have made the mathematical reasoning rigorous and explored the theory in much greater depth than is customary. The subject matter is essentially the same as that of ordinary calculus course and the techniques used are elementary (no topology, measure theory or functional analysis). Thus anyone who is acquainted with elementary calculus and wishes to deepen their knowledge should read this.
Download or read book A Primer of Real Functions Fourth Edition written by Ralph P. Boas and published by American Mathematical Soc.. This book was released on 1996-12-31 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised, updated, and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory of functions of a real variable. Earlier editions of this classic Carus Monograph covered sets, metric spaces, continuous functions, and differentiable functions. The fourth edition adds sections on measurable sets and functions, the Lebesgue and Stieltjes integrals, and applications. The book retains the informal chatty style of the previous editions, remaining accessible to readers with some mathematical sophistication and a background in calculus. The book is, thus, suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Not intended as a systematic treatise, this book has more the character of a sequence of lectures on a variety of interesting topics connected with real functions. Many of these topics are not commonly encountered in undergraduate textbooks: e.g., the existence of continuous everywhere-oscillating functions (via the Baire category theorem); the universal chord theorem; two functions having equal derivatives, yet not differing by a constant; and application of Stieltjes integration to the speed of convergence of infinite series. This book recaptures the sense of wonder that was associated with the subject in its early days. It is a must for mathematics libraries.
Download or read book An Introduction to the Theory of Real Functions written by Stanislaw Lojasiewicz and published by . This book was released on 1988-08-18 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, classical approach to the theory of real functions, set in the topological context of metric spaces. Newly translated by G. H. Lawden of the Univ. of Sussex and expanded from the earlier Polish editions to include remarks on the extension of finitely many additive functions to a measure, construction of a continuous, non-differential function of a general type, the Banach-Vitali theorem, and Stepanov's theorem. Prerequisites are set theory, topology, and calculus.
Download or read book A Primer of Real Functions written by Ralph Philip Boas and published by . This book was released on 1960 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differentiation of Real Functions written by Andrew M. Bruckner and published by American Mathematical Soc.. This book was released on 1994 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics related to the differentiation of real functions have received considerable attention during the last few decades. This book provides an efficient account of the present state of the subject. Bruckner addresses in detail the problems that arise when dealing with the class $\Delta '$ of derivatives, a class that is difficult to handle for a number of reasons. Several generalized forms of differentiation have assumed importance in the solution of various problems. Some generalized derivatives are excellent substitutes for the ordinary derivative when the latter is not known to exist; others are not. Bruckner studies generalized derivatives and indicates 'geometric' conditions that determine whether or not a generalized derivative will be a good substitute for the ordinary derivative. There are a number of classes of functions closely linked to differentiation theory, and these are examined in some detail.The book unifies many important results from the literature as well as some results not previously published. The first edition of this book, which was current through 1976, has been referenced by most researchers in this subject. This second edition contains a new chapter dealing with most of the important advances between 1976 and 1993.
Download or read book Current Topics In Analytic Function Theory written by Shigeyoshi Owa and published by World Scientific. This book was released on 1992-12-31 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.
Download or read book Current Topics in Analytic Function Theory written by H. M. Srivastava and published by World Scientific. This book was released on 1992 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.
Download or read book Differentiation of Real Functions written by A. M. Bruckner and published by Springer. This book was released on 1978-08 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purposes of the present notes are to provide a relatively efficient development of the present state of knowledge on the differentiation of real functions, to discuss some of the open problems which are worth investigating, and to provide references to work on topics which the book does not develop in detail.
Download or read book Current Topics in Cybernetics and Systems written by J. Rose and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a record of the contents of the papers accepted by the Congress Committee for presentation at the Fourth International Congress of Cybernetics and Systems (Amsterdam, The Netherlands, 21-25 August 1978). Two hundred and forty-five papers from authors from thirty-three countries of all the five continents are included. The papers are presented in an abridged form in order to highlight the main themes and produce a book that is both readable and relatively inexpensive. It was felt that after the publication of the weighty and rather costly form of the Proceedings of the Third International Congress of Cybernetics and Systems held in Bucharest, Romania in 1975 (Modern Trends in Cybernetics and Systems, eds. Rose and Bilciu, W. O. G. S. c. and Springer-Verlag, 1977; 3 volumes about 3500 pages; $150), an abridged but comprehen sive version would be more acceptable to readers. It is worth noting that the full names and addresses of authors are given for each paper, and requests to authors for more information and even full-scale papers would produce a positive response. As a matter of interest, each paper carries, in addition, brief summaries. The papers are arranged in each section or symposium in the alphabetical order of authors' names; this is not necessarily the order of presentation at the Congress.
Download or read book Vector Measures Integration and Related Topics written by Guillermo Curbera and published by Springer Science & Business Media. This book was released on 2010-02-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in thearea and present a succinct account of recent and up-to-date knowledge. The topic is interdisciplinary by nature and involves areas such as measure and integration (scalar, vector and operator-valued), classical and harmonic analysis, operator theory, non-commutative integration, andfunctional analysis. The material is of interest to experts, young researchers and postgraduate students.
Download or read book Real Enriques Surfaces written by Alexander Degtyarev and published by Springer Science & Business Media. This book was released on 2000-10-26 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deformation classes. p. 89.
Download or read book Harmonic Functions on Groups and Fourier Algebras written by Cho-Ho Chu and published by Springer. This book was released on 2004-10-11 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals.
Download or read book Current Topics in Developmental Biology written by and published by Academic Press. This book was released on 1998-03-23 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Series provides a comprehensive survey of the major topics in the field of developmental biology. The volumes are valuable to researchers in animal and plant development, as well as to students and professionals who want an introduction to cellular and molecular mechanisms of development. This year marks a major milestone for the Series as it completes its thirtieth year of publication, making it the longest-running forum for contemporary issues in developmental biology.
Download or read book Differentiability of Six Operators on Nonsmooth Functions and p Variation written by R. M. Dudley and published by Springer. This book was released on 2006-12-08 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.
Download or read book Regular Variation and Differential Equations written by Vojislav Maric and published by Springer Science & Business Media. This book was released on 2000-03-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD '99, held in Beijing, China, in April 1999. The 29 revised full papers presented together with 37 short papers were carefully selected from a total of 158 submissions. The book is divided into sections on emerging KDD technology; association rules; feature selection and generation; mining in semi-unstructured data; interestingness, surprisingness, and exceptions; rough sets, fuzzy logic, and neural networks; induction, classification, and clustering; visualization; causal models and graph-based methods; agent-based and distributed data mining; and advanced topics and new methodologies.
Download or read book Representations of Fundamental Groups of Algebraic Varieties written by Kang Zuo and published by Springer Science & Business Media. This book was released on 1999-12-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties. The reader should have a basic knowledge of algebraic geometry and non-linear analysis. This book can form the basis for graduate level seminars in the area of topology of algebraic varieties. It also contains present new techniques for researchers working in this area.
