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Author :
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (41 download)
Download or read book Monografie Matematyczne written by and published by . This book was released on 1967 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mirosław Krzyżański
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.3/5 (129 download)
Download or read book Monografie Matematyczne written by Mirosław Krzyżański and published by . This book was released on 1932 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Glasnik Matematicki written by and published by . This book was released on 1981 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. van Mill
Publisher : Elsevier
ISBN 13 : 008092977X
Total Pages : 644 pages
Book Rating : 4.0/5 (89 download)
Download or read book The Infinite-Dimensional Topology of Function Spaces written by J. van Mill and published by Elsevier. This book was released on 2002-05-24 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we study function spaces of low Borel complexity. Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly interesting. Among other things, a complete and self-contained proof of the Dobrowolski-Marciszewski-Mogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented. In order to understand what is going on, a solid background in infinite-dimensional topology is needed. And for that a fair amount of knowledge of dimension theory as well as ANR theory is needed. The necessary material was partially covered in our previous book `Infinite-dimensional topology, prerequisites and introduction'. A selection of what was done there can be found here as well, but completely revised and at many places expanded with recent results. A `scenic' route has been chosen towards the Dobrowolski-Marciszewski-Mogilski Theorem, linking the results needed for its proof to interesting recent research developments in dimension theory and infinite-dimensional topology. The first five chapters of this book are intended as a text for graduate courses in topology. For a course in dimension theory, Chapters 2 and 3 and part of Chapter 1 should be covered. For a course in infinite-dimensional topology, Chapters 1, 4 and 5. In Chapter 6, which deals with function spaces, recent research results are discussed. It could also be used for a graduate course in topology but its flavor is more that of a research monograph than of a textbook; it is therefore more suitable as a text for a research seminar. The book consequently has the character of both textbook and a research monograph. In Chapters 1 through 5, unless stated otherwise, all spaces under discussion are separable and metrizable. In Chapter 6 results for more general classes of spaces are presented. In Appendix A for easy reference and some basic facts that are important in the book have been collected. The book is not intended as a basis for a course in topology; its purpose is to collect knowledge about general topology. The exercises in the book serve three purposes: 1) to test the reader's understanding of the material 2) to supply proofs of statements that are used in the text, but are not proven there 3) to provide additional information not covered by the text. Solutions to selected exercises have been included in Appendix B. These exercises are important or difficult.
Author : Pawel Walczak
Publisher : Birkhäuser
ISBN 13 : 3034878877
Total Pages : 236 pages
Book Rating : 4.0/5 (348 download)
Download or read book Dynamics of Foliations, Groups and Pseudogroups written by Pawel Walczak and published by Birkhäuser. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the dynamics of general systems such as foliations, groups and pseudogroups, systems which are closely related via the notion of holonomy. It concentrates on notions and results related to different ways of measuring complexity of systems under consideration. More precisely, it deals with different types of growth, entropies and dimensions of limiting objects. Problems related to the topics covered are provided throughout the book.
Author : S. Rolewicz
Publisher : Springer Science & Business Media
ISBN 13 : 9401577587
Total Pages : 539 pages
Book Rating : 4.4/5 (15 download)
Download or read book Functional Analysis and Control Theory written by S. Rolewicz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps you will find the final G.K. Chesterton, The Scandal of Fa question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896433
Total Pages : 272 pages
Book Rating : 4.8/5 (964 download)
Download or read book Ten Papers on Differential Equations and Functional Analysis written by and published by American Mathematical Soc.. This book was released on 1968-12-31 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Norbert Schappacher
Publisher : Springer Nature
ISBN 13 : 3030956830
Total Pages : 20 pages
Book Rating : 4.0/5 (39 download)
Download or read book Framing Global Mathematics written by Norbert Schappacher and published by Springer Nature. This book was released on 2022-06-15 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is about the shaping of international relations in mathematics over the last two hundred years. It focusses on institutions and organizations that were created to frame the international dimension of mathematical research. Today, striking evidence of globalized mathematics is provided by countless international meetings and the worldwide repository ArXiv. The text follows the sinuous path that was taken to reach this state, from the long nineteenth century, through the two wars, to the present day. International cooperation in mathematics was well established by 1900, centered in Europe. The first International Mathematical Union, IMU, founded in 1920 and disbanded in 1932, reflected above all the trauma of WW I. Since 1950 the current IMU has played an increasing role in defining mathematical excellence, as is shown both in the historical narrative and by analyzing data about the International Congresses of Mathematicians. For each of the three periods discussed, interactions are explored between world politics, the advancement of scientific infrastructures, and the inner evolution of mathematics. Readers will thus take a new look at the place of mathematics in world culture, and how international organizations can make a difference. Aimed at mathematicians, historians of science, scientists, and the scientifically inclined general public, the book will be valuable to anyone interested in the history of science on an international level.
Author : Joseph Warren Dauben
Publisher : Princeton University Press
ISBN 13 : 0691214204
Total Pages : 422 pages
Book Rating : 4.6/5 (912 download)
Download or read book Georg Cantor written by Joseph Warren Dauben and published by Princeton University Press. This book was released on 2020-06-16 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.
Author : Harold Garth Dales
Publisher : Springer Nature
ISBN 13 : 3031445325
Total Pages : 452 pages
Book Rating : 4.0/5 (314 download)
Download or read book Banach Function Algebras, Arens Regularity, and BSE Norms written by Harold Garth Dales and published by Springer Nature. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alejandro Illanes
Publisher : CRC Press
ISBN 13 : 9780824719821
Total Pages : 544 pages
Book Rating : 4.7/5 (198 download)
Download or read book Hyperspaces written by Alejandro Illanes and published by CRC Press. This book was released on 1999-01-04 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents hyperspace fundamentals, offering a basic overview and a foundation for further study. Topics include the topology for hyperspaces, examples of geometric models for hyperspaces, 2x and C(X) for Peano continua X, arcs in hyperspaces, the shape and contractability of hyperspaces, hyperspaces and the fixed point property, and Whitney maps. The text contains examples and exercises throughout, and provides proofs for most results.
Author : O. A. Nielsen
Publisher : CRC Press
ISBN 13 : 1000111067
Total Pages : 184 pages
Book Rating : 4.0/5 (1 download)
Download or read book Direct Integral Theory written by O. A. Nielsen and published by CRC Press. This book was released on 2020-08-26 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators, direct integrals of representations, direct integrals and types of von Neumann algebras, and measures on the quasi-dual representations.
Author : Ulrich Höhle
Publisher : Springer Science & Business Media
ISBN 13 : 146151617X
Total Pages : 377 pages
Book Rating : 4.4/5 (615 download)
Download or read book Many Valued Topology and its Applications written by Ulrich Höhle and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 20th Century brought the rise of General Topology. It arose from the effort to establish a solid base for Analysis and it is intimately related to the success of set theory. Many Valued Topology and Its Applications seeks to extend the field by taking the monadic axioms of general topology seriously and continuing the theory of topological spaces as topological space objects within an almost completely ordered monad in a given base category C. The richness of this theory is shown by the fundamental fact that the category of topological space objects in a complete and cocomplete (epi, extremal mono)-category C is topological over C in the sense of J. Adamek, H. Herrlich, and G.E. Strecker. Moreover, a careful, categorical study of the most important topological notions and concepts is given - e.g., density, closedness of extremal subobjects, Hausdorff's separation axiom, regularity, and compactness. An interpretation of these structures, not only by the ordinary filter monad, but also by many valued filter monads, underlines the richness of the explained theory and gives rise to new concrete concepts of topological spaces - so-called many valued topological spaces. Hence, many valued topological spaces play a significant role in various fields of mathematics - e.g., in the theory of locales, convergence spaces, stochastic processes, and smooth Borel probability measures. In its first part, the book develops the necessary categorical basis for general topology. In the second part, the previously given categorical concepts are applied to monadic settings determined by many valued filter monads. The third part comprises various applications of many valued topologies to probability theory and statistics as well as to non-classical model theory. These applications illustrate the significance of many valued topology for further research work in these important fields.
Author : Valeriy K. Zakharov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110550229
Total Pages : 597 pages
Book Rating : 4.1/5 (15 download)
Download or read book Fundamentals of Functions and Measure Theory written by Valeriy K. Zakharov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-02-05 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff’s initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics. The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. Contents Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory Fundamentals of the theory of functions Fundamentals of the measure theory Historical notes on the Riesz – Radon – Frechet problem of characterization of Radon integrals as linear functionals
Author : Ángel Garrido
Publisher : Birkhäuser
ISBN 13 : 3319654306
Total Pages : 802 pages
Book Rating : 4.3/5 (196 download)
Download or read book The Lvov-Warsaw School. Past and Present written by Ángel Garrido and published by Birkhäuser. This book was released on 2018-06-12 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world. The papers range from historical considerations to new philosophical, logical and mathematical developments of this impressive School, including applications to Computer Science, Mathematics, Metalogic, Scientific and Analytic Philosophy, Theory of Models and Linguistics.
Author : Suren A. Grigoryan
Publisher : Springer Science & Business Media
ISBN 13 : 3764376058
Total Pages : 287 pages
Book Rating : 4.7/5 (643 download)
Download or read book Shift-invariant Uniform Algebras on Groups written by Suren A. Grigoryan and published by Springer Science & Business Media. This book was released on 2006-08-08 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on the theory of shift-invariant algebras is the first monograph devoted entirely to an outgrowth of the established theory of generalized analytic functions on compact groups. Associated subalgebras of almost periodic functions of real variables and of bonded analytic functions on the unit disc are carried along within the general framework.
Author : Lev Bukovský
Publisher : Springer Science & Business Media
ISBN 13 : 3034800061
Total Pages : 546 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Structure of the Real Line written by Lev Bukovský and published by Springer Science & Business Media. This book was released on 2011-03-02 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results.
