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Author : Vyacheslav L. Girko
Publisher : Academic Press
ISBN 13 : 0080873251
Total Pages : 399 pages
Book Rating : 4.0/5 (88 download)
Download or read book Spectral Theory of Random Matrices written by Vyacheslav L. Girko and published by Academic Press. This book was released on 2016-08-23 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory of Random Matrices
Author : Eric Schechter
Publisher : Academic Press
ISBN 13 : 0080532993
Total Pages : 907 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Analysis and Its Foundations written by Eric Schechter and published by Academic Press. This book was released on 1996-10-24 with total page 907 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/
Author : K. D. Joshi
Publisher : New Age International
ISBN 13 : 9780852264447
Total Pages : 430 pages
Book Rating : 4.2/5 (644 download)
Download or read book Introduction to General Topology written by K. D. Joshi and published by New Age International. This book was released on 1983 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zdzislaw Denkowski
Publisher : Springer Science & Business Media
ISBN 13 : 1441991581
Total Pages : 699 pages
Book Rating : 4.4/5 (419 download)
Download or read book An Introduction to Nonlinear Analysis: Theory written by Zdzislaw Denkowski and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.
Author : John L. Kelley
Publisher : Courier Dover Publications
ISBN 13 : 0486820661
Total Pages : 321 pages
Book Rating : 4.4/5 (868 download)
Download or read book General Topology written by John L. Kelley and published by Courier Dover Publications. This book was released on 2017-03-07 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive text for beginning graduate-level students and professionals. "The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure." — Bulletin of the American Mathematical Society. 1955 edition.
Author : Kansas. University. Department of Mathematics
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (318 download)
Download or read book Functions and limits written by Kansas. University. Department of Mathematics and published by . This book was released on 1954 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Kuratowski
Publisher : Elsevier
ISBN 13 : 1483272567
Total Pages : 581 pages
Book Rating : 4.4/5 (832 download)
Download or read book Topology written by K. Kuratowski and published by Elsevier. This book was released on 2014-05-12 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, Volume I deals with topology and covers topics ranging from operations in logic and set theory to Cartesian products, mappings, and orderings. Cardinal and ordinal numbers are also discussed, along with topological, metric, and complete spaces. Great use is made of closure algebra. Comprised of three chapters, this volume begins with a discussion on general topological spaces as well as their specialized aspects, including regular, completely regular, and normal spaces. Fundamental notions such as base, subbase, cover, and continuous mapping, are considered, together with operations such as the exponential topology and quotient topology. The next chapter is devoted to the study of metric spaces, starting with more general spaces, having the limit as its primitive notion. The space is assumed to be metric separable, and this includes problems of cardinality and dimension. Dimension theory and the theory of Borei sets, Baire functions, and related topics are also discussed. The final chapter is about complete spaces and includes problems of general function theory which can be expressed in topological terms. The book includes two appendices, one on applications of topology to mathematical logics and another to functional analysis. This monograph will be helpful to students and practitioners of algebra and mathematics.
Author : Alberto Torchinsky
Publisher : Springer Nature
ISBN 13 : 3031117999
Total Pages : 182 pages
Book Rating : 4.0/5 (311 download)
Download or read book A Modern View of the Riemann Integral written by Alberto Torchinsky and published by Springer Nature. This book was released on 2022-10-05 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph uncovers the full capabilities of the Riemann integral. Setting aside all notions from Lebesgue’s theory, the author embarks on an exploration rooted in Riemann’s original viewpoint. On this journey, we encounter new results, numerous historical vignettes, and discover a particular handiness for computations and applications. This approach rests on three basic observations. First, a Riemann integrability criterion in terms of oscillations, which is a quantitative formulation of the fact that Riemann integrable functions are continuous a.e. with respect to the Lebesgue measure. Second, the introduction of the concepts of admissible families of partitions and modified Riemann sums. Finally, the fact that most numerical quadrature rules make use of carefully chosen Riemann sums, which makes the Riemann integral, be it proper or improper, most appropriate for this endeavor. A Modern View of the Riemann Integral is intended for enthusiasts keen to explore the potential of Riemann's original notion of integral. The only formal prerequisite is a proof-based familiarity with the Riemann integral, though readers will also need to draw upon mathematical maturity and a scholarly outlook.
Author : Nicholas J. Higham
Publisher : SIAM
ISBN 13 : 9780898719550
Total Pages : 317 pages
Book Rating : 4.7/5 (195 download)
Download or read book Handbook of Writing for the Mathematical Sciences written by Nicholas J. Higham and published by SIAM. This book was released on 1998-01-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handy volume, enlivened by anecdotes, unusual paper titles, and humorous quotations, provides even more information on the issues you will face when writing a technical paper or talk, from choosing the right journal in which to publish to handling your references. Its overview of the entire publication process is invaluable for anyone hoping to publish in a technical journal.
Author :
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (36 download)
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1977 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1954 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dirk Draheim
Publisher : Springer
ISBN 13 : 364255198X
Total Pages : 222 pages
Book Rating : 4.6/5 (425 download)
Download or read book Semantics of the Probabilistic Typed Lambda Calculus written by Dirk Draheim and published by Springer. This book was released on 2017-02-28 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a foundational approach to the semantics of probabilistic programming. It elaborates a rigorous Markov chain semantics for the probabilistic typed lambda calculus, which is the typed lambda calculus with recursion plus probabilistic choice. The book starts with a recapitulation of the basic mathematical tools needed throughout the book, in particular Markov chains, graph theory and domain theory, and also explores the topic of inductive definitions. It then defines the syntax and establishes the Markov chain semantics of the probabilistic lambda calculus and, furthermore, both a graph and a tree semantics. Based on that, it investigates the termination behavior of probabilistic programs. It introduces the notions of termination degree, bounded termination and path stoppability and investigates their mutual relationships. Lastly, it defines a denotational semantics of the probabilistic lambda calculus, based on continuous functions over probability distributions as domains. The work mostly appeals to researchers in theoretical computer science focusing on probabilistic programming, randomized algorithms, or programming language theory.
Author : Dirk Hofmann
Publisher : Cambridge University Press
ISBN 13 : 1107063949
Total Pages : 523 pages
Book Rating : 4.1/5 (7 download)
Download or read book Monoidal Topology written by Dirk Hofmann and published by Cambridge University Press. This book was released on 2014-07-31 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lax-algebraic and categorical methods, Monoidal Topology provides a unified theory for metric and topological structures with far-reaching applications.
Author : Ding-zhu Du
Publisher : World Scientific
ISBN 13 : 9814500410
Total Pages : 482 pages
Book Rating : 4.8/5 (145 download)
Download or read book Recent Advances In Nonsmooth Optimization written by Ding-zhu Du and published by World Scientific. This book was released on 1995-09-20 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.
Author : Konrad Jacobs
Publisher : Academic Press
ISBN 13 : 1483263045
Total Pages : 593 pages
Book Rating : 4.4/5 (832 download)
Download or read book Measure and Integral written by Konrad Jacobs and published by Academic Press. This book was released on 2014-07-10 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Mathematical Statistics: Measure and Integral provides information pertinent to the general mathematical notions and notations. This book discusses how the machinery of ?-extension works and how ?-content is derived from ?-measure. Organized into 16 chapters, this book begins with an overview of the classical Hahn–Banach theorem and introduces the Banach limits in the form of a major exercise. This text then presents the Daniell extension theory for positive ?-measures. Other chapters consider the transform of ?-contents and ?-measures by measurable mappings and kernels. This text is also devoted to a thorough study of the vector lattice of signed contents. This book discusses as well an abstract regularity theory and applied to the standard cases of compact, locally compact, and Polish spaces. The final chapter deals with the rudiments of the Krein–Milman theorem, along with some of their applications. This book is a valuable resource for graduate students.
Author : Kosaku Yosida
Publisher : Springer Science & Business Media
ISBN 13 : 3642962084
Total Pages : 509 pages
Book Rating : 4.6/5 (429 download)
Download or read book Functional Analysis written by Kosaku Yosida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: of the galley proof, correcting errors and improving the presentation. To all of them, the author expresses his warmest gratitude. Thanks are also due to Professor F. K. SCHMIDT of Heidelberg Uni Yersity and to Professor T. KATO of the University of California at Berkeley who constantly encouraged the author to write up the present book. Finally, the author wishes to express his appreciation to Springer Verlag for their most efficient handling of the publication of this book. Tokyo, September 1964 I{oSAKu YOSIDA Preface to the Second Edition In the preparation of this edition, the author is indebted to Mr. FLORET of Heidelberg who kindly did the task of enlarging the Index to make the book more useful. The errors in the second printing are cor rected thanks to the remarks of many friends. In order to make the book more up-to-date, Section 4 of Chapter XIV has been rewritten entirely for this new edition. Tokyo, September 1967 KOSAKU YOSIDA Preface to the Third Edition A new Section (9. Abstract Potential Operators and Semi-groups) pertaining to G. HUNT'S theory of potentials is inserted in Chapter XIII of this edition. The errors in the second edition are corrected thanks to kind remarks of many friends, especially of Mr. KLAUS-DIETER BIER STEDT.
Author : Vialar Thierry
Publisher : BoD - Books on Demand
ISBN 13 : 2955199052
Total Pages : 1134 pages
Book Rating : 4.9/5 (551 download)
Download or read book Handbook of Mathematics written by Vialar Thierry and published by BoD - Books on Demand. This book was released on 2023-08-22 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
