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A Cp-Theory Problem Book

Author: Vladimir V. Tkachuk

Publisher: Springer

Published: 2014-06-24

Total Pages: 595

ISBN-13: 3319047477

This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in Cp-theory and general topology at the professional level bringing the reader to the frontiers of modern research. The volume contains 500 problems and exercises with complete solutions. It can also be used as an introduction to advanced set theory and descriptive set theory. The book presents diverse topics of the theory of function spaces with the topology of pointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from these areas of research. Moreover, this book gives a reasonably complete coverage of Cp-theory through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.

A Cp-Theory Problem Book

Author: Vladimir V. Tkachuk

Publisher: Springer

Published: 2015-06-02

Total Pages: 538

ISBN-13: 3319160923

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This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide variety of topics in Cp-theory and general topology at the professional level. The first volume, Topological and Function Spaces © 2011, provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. The second volume, Special Features of Function Spaces © 2014, continued from the first, giving reasonably complete coverage of Cp-theory, systematically introducing each of the major topics and providing 500 carefully selected problems and exercises with complete solutions. This third volume is self-contained and works in tandem with the other two, containing five hundred carefully selected problems and solutions. It can also be considered as an introduction to advanced set theory and descriptive set theory, presenting diverse topics of the theory of function spaces with the topology of point wise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology.

A Cp-Theory Problem Book

Author: Vladimir V. Tkachuk

Publisher: Springer Science & Business Media

Published: 2011-03-23

Total Pages: 497

ISBN-13: 1441974423

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The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.

A Cp-Theory Problem Book

Author: Vladimir V. Tkachuk

Publisher: Springer

Published: 2016-04-05

Total Pages: 740

ISBN-13: 3319243853

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This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of t-equivalent, u-equivalent and l-equivalent spaces is developed from scratch. The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems and dimension theory. Moreover, the inclusion of Kolmogorov's solution of Hilbert's Problem 13 is included as it is needed for the presentation of the theory of l-equivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of non-preservation of compactness by t-equivalence, Okunev's method of constructing l-equivalent spaces and the theorem of Marciszewski and Pelant on u-invariance of absolute Borel sets.

A Cp-Theory Problem Book

Author: Vladimir V. Tkachuk

Publisher:

Published: 2011-03-30

Total Pages: 504

ISBN-13: 9781441974433

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A C[subscript P]-theory Problem Book

Author: Vladimir Vladimirovich Tkachuk

Publisher:

Published: 2015

Total Pages:

ISBN-13:

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A Problem Book in Real Analysis

Author: Asuman G. Aksoy

Publisher: Springer Science & Business Media

Published: 2010-03-10

Total Pages: 257

ISBN-13: 1441912967

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Education is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, “The Critic as Artist,” 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental history. Although Analysis was conceived in the 17th century during the Scienti?c Revolution, it has taken nearly two hundred years to establish its theoretical basis. Kepler, Galileo, Descartes, Fermat, Newton and Leibniz were among those who contributed to its genesis. Deep conceptual changes in Analysis were brought about in the 19th century by Cauchy and Weierstrass. Furthermore, modern concepts such as open and closed sets were introduced in the 1900s. Today nearly every undergraduate mathematics program requires at least one semester of Real Analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of this book is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, we hope that learning analysis becomes less taxing and thereby more satisfying.

Functional Analysis and Continuous Optimization

Author: José M. Amigó

Publisher: Springer Nature

Published: 2023-07-01

Total Pages: 273

ISBN-13: 3031300149

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The book includes selected contributions presented at the "International Meeting on Functional Analysis and Continuous Optimization" held in Elche (Spain) on June 16–17, 2022. Its contents cover very recent results in functional analysis, continuous optimization and the interplay between these disciplines. Therefore, this book showcases current research on functional analysis and optimization with individual contributions, as well as new developments in both areas. As a result, the reader will find useful information and stimulating ideas.

Vol 15: Kinetic Theory: Adaptive Problems Book in Physics (with Detailed Solutions) for College & High School

Author: SATYAM SIR

Publisher: physicsfactor.com

Published: 2021-08-01

Total Pages: 309

ISBN-13:

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Learn Kinetic Theory of gases which is divided into various sub topics. Each topic has plenty of problems in an adaptive difficulty wise. From basic to advanced level with gradual increment in the level of difficulty. The set of problems on any topic almost covers all varieties of physics problems related to the chapter Kinetic Theory of gases. If you are preparing for IIT JEE Mains and Advanced or NEET or CBSE Exams, this Physics eBook will really help you to master this chapter completely in all aspects. It is a Collection of Adaptive Physics Problems in Kinetic Theory for SAT Physics, AP Physics, 11 Grade Physics, IIT JEE Mains and Advanced , NEET & Olympiad Level Book Series Volume 15 This Physics eBook will cover following Topics for Kinetic Theory: 1. Pressure & Kinetic Energy 2. Various Speeds 3. Degree of Freedom & Specific Heat 4. Chapter Test The intention is to create this book to present physics as a most systematic approach to develop a good numerical solving skill. About Author Satyam Sir has graduated from IIT Kharagpur in Civil Engineering and has been teaching Physics for JEE Mains and Advanced for more than 8 years. He has mentored over ten thousand students and continues mentoring in regular classroom coaching. The students from his class have made into IIT institutions including ranks in top 100. The main goal of this book is to enhance problem solving ability in students. Sir is having hope that you would enjoy this journey of learning physics! In case of query, visit www.physicsfactor.com or WhatsApp to our customer care number +91 7618717227

CP Violation

Author: I. I. Bigi

Publisher: Cambridge University Press

Published: 2009-04-30

Total Pages: 1

ISBN-13: 1139478249

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Why didn't the matter in our Universe annihilate with antimatter immediately after its creation? The study of CP violation may help to answer this fundamental question. This book presents theoretical tools necessary to understand this phenomenon. Reflecting the explosion of new results over the last decade, this second edition has been substantially expanded. It introduces charge conjugation, parity and time reversal, before describing the Kobayashi-Maskawa (KM) theory for CP violation and our understanding of CP violation in kaon decays. It reveals how the discovery of B mesons has provided a new laboratory to study CP violation with KM theory predicting large asymmetries, and discusses how these predictions have been confirmed since the first edition of this book. Later chapters describe the search for a new theory of nature's fundamental dynamics. This book is suitable for researchers in high energy, atomic and nuclear physics, and the history and philosophy of science.