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Author :
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.:/5 (35 download)
Download or read book Monografie Matematyczne written by and published by . This book was released on 1975 with total page 388 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 theoryare primarily used for the study of these spaces. The mix ofmethods from several disciplines makes the subjectparticularly 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 ininfinite-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 theDobrowolski-Marciszewski-Mogilski Theorem, linking theresults 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 forgraduate 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 thereforemore suitable as a text for a research seminar. The bookconsequently has the character of both textbook and a research monograph. In Chapters 1 through 5, unless statedotherwise, all spaces under discussion are separable andmetrizable. 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 there3) 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 : S. Banach
Publisher : Elsevier
ISBN 13 : 0080887201
Total Pages : 249 pages
Book Rating : 4.0/5 (88 download)
Download or read book Theory of Linear Operations written by S. Banach and published by Elsevier. This book was released on 1987-03-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series.A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.
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.
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 : Ivan Singer
Publisher : Springer Science & Business Media
ISBN 13 : 3662415836
Total Pages : 411 pages
Book Rating : 4.6/5 (624 download)
Download or read book Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces written by Ivan Singer and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Valeriy K. Zakharov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110550210
Total Pages : 542 pages
Book Rating : 4.1/5 (15 download)
Download or read book Fundamentals of Set and Number 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 542 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 Fundamentals of the theory of classes, sets, and numbers Characterization of all natural models of Neumann – Bernays – Godel and Zermelo – Fraenkel set theories Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory Compactness theorem for generalized second-order language
Author : D. A. Edwards
Publisher : Springer
ISBN 13 : 3540381031
Total Pages : 303 pages
Book Rating : 4.5/5 (43 download)
Download or read book Cech and Steenrod Homotopy Theories with Applications to Geometric Topology written by D. A. Edwards and published by Springer. This book was released on 2006-11-14 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John J. Benedetto
Publisher : Springer Science & Business Media
ISBN 13 : 0817646566
Total Pages : 589 pages
Book Rating : 4.8/5 (176 download)
Download or read book Integration and Modern Analysis written by John J. Benedetto and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonné–Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference.
Author : Facts On File, Incorporated
Publisher : Infobase Publishing
ISBN 13 : 079109720X
Total Pages : pages
Book Rating : 4.7/5 (91 download)
Download or read book Modern Mathematics written by Facts On File, Incorporated and published by Infobase Publishing. This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: During the first half of the 20th century, mathematics became an international discipline that led to major advances in science and technology. Modern Mathematics: 1900 to 1950 provides an eye-opening introduction to those five historic decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of cybernetics, this in-depth volume is an excellent choice for libraries aiming to provide a range of resources covering the history of mathematics.
Author : Panos J. Antsaklis
Publisher : Springer
ISBN 13 : 3540491635
Total Pages : 458 pages
Book Rating : 4.5/5 (44 download)
Download or read book Hybrid Systems V written by Panos J. Antsaklis and published by Springer. This book was released on 2003-07-31 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the strictly refereed post-proceedings of the 5th International Hybrid Systems Workshop held in Notre Dame, Indiana, USA in September 1998. The 23 revised full papers presented in the book have gone through two rounds of thorough reviewing and revision. The volume presents state-of-the-art research results and particularly addresses such areas as program verification, concurrent and distributed processes, logic programming, logics of programs, discrete event simulation, calculus of variations, optimization, differential geometry, Lie algebras, automata theory, dynamical systems, etc.
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.
