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Author : Nina Karlovna Bari
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.X/5 (1 download)
Download or read book The Uniqueness Problem of the Representation of Functions by Trigonometric Series written by Nina Karlovna Bari and published by . This book was released on 1951 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. K. Bary
Publisher : Elsevier
ISBN 13 : 1483224198
Total Pages : 578 pages
Book Rating : 4.4/5 (832 download)
Download or read book A Treatise on Trigonometric Series written by N. K. Bary and published by Elsevier. This book was released on 2014-05-12 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Treatise on Trigonometric Series, Volume 1 deals comprehensively with the classical theory of Fourier series. This book presents the investigation of best approximations of functions by trigonometric polynomials. Organized into six chapters, this volume begins with an overview of the fundamental concepts and theorems in the theory of trigonometric series, which play a significant role in mathematics and in many of its applications. This text then explores the properties of the Fourier coefficient function and estimates the rate at which its Fourier coefficients tend to zero. Other chapters consider some tests for the convergence of a Fourier series at a given point. This book discusses as well the conditions under which the series does converge uniformly. The final chapter deals with adjustment of a summable function outside a given perfect set. This book is a valuable resource for advanced students and research workers. Mathematicians will also find this book useful.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512337
Total Pages : 543 pages
Book Rating : 4.4/5 (15 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : Antoni Zygmund
Publisher : Cambridge University Press
ISBN 13 : 9780521890533
Total Pages : 784 pages
Book Rating : 4.8/5 (95 download)
Download or read book Trigonometric Series written by Antoni Zygmund and published by Cambridge University Press. This book was released on 2002 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.
Author : Ivor Grattan-Guinness
Publisher : Elsevier
ISBN 13 : 0080457444
Total Pages : 1042 pages
Book Rating : 4.0/5 (84 download)
Download or read book Landmark Writings in Western Mathematics 1640-1940 written by Ivor Grattan-Guinness and published by Elsevier. This book was released on 2005-02-11 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field
Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000674150
Total Pages : 668 pages
Book Rating : 4.0/5 (6 download)
Download or read book Journal of Fourier Analysis and Applications Special Issue written by John J. Benedetto and published by CRC Press. This book was released on 2020-03-10 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Journal of Fourier Analysis and Applications is a journal of the mathematical sciences devoted to Fourier analysis and its applications. The subject of Fourier analysis has had a major impact on the development of mathematics, on the understanding of many engineering and scientific phenomena, and on the solution of some of the most important problems in mathematics and the sciences. At the end of June 1993, a large Conference in Harmonic Analysis was held at the University of Paris-Sud at Orsay to celebrate the prominent role played by Jean-Pierre Kahane and his numerous achievements in this field. The large variety of topics discussed in this meeting, ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Jean-Pierre Kahane. Indeed, all of them are connected to his work. The mornings were devoted to plenary addresses while up to four parallel sessions took place in the afternoons. Altogether, there were about eighty speakers. This wide range of subjects appears in these proceedings which include thirty six articles.
Author : Nina Karlovna Bari
Publisher :
ISBN 13 :
Total Pages : 538 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Treatise on Trigonometric Series written by Nina Karlovna Bari and published by . This book was released on 1964 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 0080873820
Total Pages : 284 pages
Book Rating : 4.0/5 (88 download)
Download or read book Spectral Synthesis written by and published by Academic Press. This book was released on 1976-06-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Synthesis
Author : John Petrovic
Publisher : CRC Press
ISBN 13 : 1466565640
Total Pages : 564 pages
Book Rating : 4.4/5 (665 download)
Download or read book Advanced Calculus written by John Petrovic and published by CRC Press. This book was released on 2013-11-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them unders
Author : Jose Ferreiros
Publisher : Birkhäuser
ISBN 13 : 3034850492
Total Pages : 459 pages
Book Rating : 4.0/5 (348 download)
Download or read book Labyrinth of Thought written by Jose Ferreiros and published by Birkhäuser. This book was released on 2013-11-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: "José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
Author : R.E. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 1461262089
Total Pages : 230 pages
Book Rating : 4.4/5 (612 download)
Download or read book Fourier Series written by R.E. Edwards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim in writing this book has been to provide an intro duction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modem techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of modem concepts and techniques is, in fact, as wide spread as is deemed to be compatible with the desire that the book shall be useful to senior undergraduates and beginning graduate students, for whom it may perhaps serve as preparation for Rudin's Harmonic Analysis on Groups and the promised second volume of Hewitt and Ross's Abstract Harmonic Analysis. The emphasis on modem techniques and outlook has affected not only the type of arguments favored, but also to a considerable extent the choice of material. Above all, it has led to a minimal treatment of pointwise con vergence and summability: as is argued in Chapter 1, Fourier series are not necessarily seen in their best or most natural role through pointwise-tinted spectacles. Moreover, the famous treatises by Zygmund and by Baryon trigonometric series cover these aspects in great detail, wl:tile leaving some gaps in the presentation of the modern viewpoint; the same is true of the more elementary account given by Tolstov. Likewise, and again for reasons discussed in Chapter 1, trigonometric series in general form no part of the program attempted.
Author : James Mattingly
Publisher : SAGE Publications
ISBN 13 : 1506353282
Total Pages : 1801 pages
Book Rating : 4.5/5 (63 download)
Download or read book The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics written by James Mattingly and published by SAGE Publications. This book was released on 2022-10-28 with total page 1801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project Description: Theories are part and parcel of every human activity that involves knowing about the world and our place in it. In all areas of inquiry from the most commonplace to the most scholarly and esoteric, theorizing plays a fundamental role. The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics focuses on the ways that various STEM disciplines theorize about their subject matter. How is thinking about the subject organized? What methods are used in moving a novice in given field into the position of a competent student of that subject? Within the pages of this landmark work, readers will learn about the complex decisions that are made when framing a theory, what goes into constructing a powerful theory, why some theories change or fail, how STEM theories reflect socio-historical moments in time and how – at their best – they form the foundations for exploring and unlocking the mysteries of the world around us. Featuring more than 200 authoritative articles written by experts in their respective fields, the encyclopedia includes a Reader’s Guide that organizes entries by broad themes; lists of Further Readings and cross-references that conclude each article; and a Resource Guide listing classic books in the field, leading journals, associations, and key websites.
Author : Manfred Stoll
Publisher : CRC Press
ISBN 13 : 1000345106
Total Pages : 583 pages
Book Rating : 4.0/5 (3 download)
Download or read book Introduction to Real Analysis written by Manfred Stoll and published by CRC Press. This book was released on 2021-03-09 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course, taking into consideration the variations in abilities, background, and motivation. Chapters one through six have been written to be accessible to the average student, w hile at the same time challenging the more talented student through the exercises. Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters, the theorems, examples, and exercises require greater sophistication and mathematical maturity for full understanding. In addition to the standard topics the text includes topics that are not always included in comparable texts. Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability. Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral, using inner and outer measure. The exercises at the end of each section reinforce the concepts. Notes provide historical comments or discuss additional topics.
Author : I. Grattan-Guinness
Publisher : Princeton University Press
ISBN 13 : 0691219664
Total Pages : 318 pages
Book Rating : 4.6/5 (912 download)
Download or read book From the Calculus to Set Theory 1630-1910 written by I. Grattan-Guinness and published by Princeton University Press. This book was released on 2020-10-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.
Author : Leo Esakia
Publisher : Springer
ISBN 13 : 3030120961
Total Pages : 107 pages
Book Rating : 4.0/5 (31 download)
Download or read book Heyting Algebras written by Leo Esakia and published by Springer. This book was released on 2019-07-05 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an English translation of a classic Russian text on duality theory for Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved popular among Russian-speaking logicians. This translation helps make the ideas accessible to a wider audience and pays tribute to an influential mind in mathematical logic. The book discusses the theory of Heyting algebras and closure algebras, as well as the corresponding intuitionistic and modal logics. The author introduces the key notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripke frames), resulting in the structures now known as Esakia spaces. The main theorems include a duality between the categories of closure algebras and of hybrids, and a duality between the categories of Heyting algebras and of so-called strict hybrids. Esakia’s book was originally published in 1985. It was the first of a planned two-volume monograph on Heyting algebras. But after the collapse of the Soviet Union, the publishing house closed and the project died with it. Fortunately, this important work now lives on in this accessible translation. The Appendix of the book discusses the planned contents of the lost second volume.
Author : V.P. Khavin
Publisher : Springer Science & Business Media
ISBN 13 : 3662063018
Total Pages : 235 pages
Book Rating : 4.6/5 (62 download)
Download or read book Commutative Harmonic Analysis IV written by V.P. Khavin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.
Author : M. Glezerman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821816073
Total Pages : 466 pages
Book Rating : 4.8/5 (16 download)
Download or read book Algebraic Topology written by M. Glezerman and published by American Mathematical Soc.. This book was released on 1962 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
