Counterexamples on Uniform Convergence - Sequences, Series, Functions, and Integrals, Bourchtein
Автор: Charalambous Michael G. Название: Dimension Theory: A Selection of Theorems and Counterexamples ISBN: 3030222349 ISBN-13(EAN): 9783030222345 Издательство: Springer Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: - Topological Spaces. - The Three Main Dimension Functions. - The Countable Sum Theorem for Covering Dimension. - Urysohn Inequalities. - The Dimension of Euclidean Spaces. - Connected Components and Dimension. - Factorization and Compactification Theorems for Separable Metric Spaces. - Coincidence, Product and Decomposition Theorems for Separable Metric Spaces. - Universal Spaces for Separable Metric Spaces of Dimension at Most n. - Axiomatic Characterization of the Dimension of Separable Metric Spaces. - Cozero Sets and Covering Dimension dim0. - ψ-Spaces and the Failure of the Sum and Subset Theorems for dim0. - The Inductive Dimension Ind0. - Two Classical Examples. - The Gap Between the Covering and the Inductive Dimensions of Compact Hausdorff Spaces. - Inverse Limits and N-Compact Spaces. - Some Standard Results Concerning Metric Spaces. - The Mardesi c Factorization Theorem and the Dimension of Metrizable Spaces. - A Metrizable Space with Unequal Inductive Dimensions. - No Finite Sum Theorem for the Small Inductive Dimension of Metrizable Spaces. - Failure of the Subset Theorem for Hereditarily Normal Spaces. - A Zero-Dimensional, Hereditarily Normal and Lindelцf Space Containing Subspaces of Arbitrarily Large Dimension. - Cosmic Spaces and Dimension. - n-Cardinality and Bernstein Sets. - The van Douwen Technique for Constructing Counterexamples. - No Compactification Theorem for the Small Inductive Dimension of Perfectly Normal Spaces. - Normal Products and Dimension. - Fully Closed and Ring-Like Maps. - Fedorčuk's Resolutions. - Compact Spaces Without Intermediate Dimensions. - More Continua with Distinct Covering and Inductive Dimensions. - The Gaps Between the Dimensions of Normal Hausdorff Spaces.
Автор: Ren? L. Schilling , Franziska K?hn Название: Counterexamples in Measure and Integration ISBN: 1316519139 ISBN-13(EAN): 9781316519134 Издательство: Cambridge Academ Рейтинг: Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a perfect companion to any course on measure theory, integration, real and functional analysis, providing more than 300 examples and counterexamples to the otherwise often rather theoretical courses. By knowing `what may go wrong` students will gain a better understanding of the standard course material.
Автор: Radożycki Tomasz Название: Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, Singularitie ISBN: 3030385957 ISBN-13(EAN): 9783030385958 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Невозможна поставка. Описание: This book is intended for periodontal residents and practicing periodontists who wish to incorporate the principles of moderate sedation into daily practice. Comprehensive airway management and rescue skills are then documented in detail so that the patient may be properly managed in the event that the sedation progresses beyond the intended level.
Автор: Adrian M. Gonzalez-Perez, Javier Parcet, Marius Junge Название: Singular Integrals in Quantum Euclidean Spaces ISBN: 1470449374 ISBN-13(EAN): 9781470449377 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Нет в наличии. Описание: We shall establish the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean spaces and tori. Our results go beyond Connes' pseudodifferential calculus for rotation algebras, thanks to a new form of Calder?on-Zygmund theory over these spaces which crucially incorporates nonconvolution kernels. We deduce Lp-boundedness and Sobolev p-estimates for regular, exotic and forbidden symbols in the expected ranks. In the L2 level both Calder?on-Vaillancourt and Bourdaud theorems for exotic and forbidden symbols are also generalized to the quantum setting. As a basic application of our methods, we prove Lp-regularity of solutions for elliptic PDEs.
Автор: Korotkov, Nikolai E. , Korotkov, Alexander N. Название: Integrals Related to the Error Function ISBN: 0367408201 ISBN-13(EAN): 9780367408206 Издательство: Taylor&Francis Рейтинг: Цена: 163330.00 T Наличие на складе: Нет в наличии. Описание: Integrals Related to the Error Function presents a table of integrals related to the error function, including indefinite and improper definite integrals.
Автор: Changpin Li, Min Cai Название: Theory and Numerical Approximations of Fractional Integrals and Derivatives ISBN: 1611975875 ISBN-13(EAN): 9781611975871 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 76910.00 T Наличие на складе: Нет в наличии. Описание: Due to its ubiquity across a variety of fields in science and engineering, fractional calculus has gained momentum in industry and academia. While a number of books and papers introduce either fractional calculus or numerical approximations, no current literature provides a comprehensive collection of both topics. This monograph introduces fundamental information on fractional calculus and provides a detailed treatment of existing numerical approximations.Theory and Numerical Approximations of Fractional Integrals and Derivatives presents an inclusive review of fractional calculus in terms of theory and numerical methods and systematically examines almost all existing numerical approximations for fractional integrals and derivatives. The authors consider the relationship between the fractional Laplacian and the Riesz derivative, a key component absent from other related texts, and highlight recent developments, including their own research and results.The book’s core audience spans several fractional communities, including those interested in fractional partial differential equations, the fractional Laplacian, and applied and computational mathematics. Advanced undergraduate and graduate students will find the material suitable as a primary or supplementary resource for their studies.
Автор: Michael G. Charalambous Название: Dimension Theory ISBN: 3030222314 ISBN-13(EAN): 9783030222314 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka's psi-spaces, van Douwen's technique of assigning limit points to carefully selected sequences, and Fedorchuk's method of resolutions.
Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers.
Автор: Schilling, Rene L. (technische Universitat, Dresden) Kuhn, Franziska (technische Universitat, Dresden) Название: Counterexamples in measure and integration ISBN: 1009001620 ISBN-13(EAN): 9781009001625 Издательство: Cambridge Academ Рейтинг: Цена: 36950.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a perfect companion to any course on measure theory, integration, real and functional analysis, providing more than 300 examples and counterexamples to the otherwise often rather theoretical courses. By knowing `what may go wrong` students will gain a better understanding of the standard course material.
Автор: M. Mursaleen; S.A. Mohiuddine Название: Convergence Methods for Double Sequences and Applications ISBN: 8132229258 ISBN-13(EAN): 9788132229254 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book`s dedicated focus on the `almost` convergence and statistical convergence of double sequences demystifies the concept using a host of revealing examples, highlighting the application of double sequences in key areas of pure and applied mathematics.
Автор: M. Mursaleen; S.A. Mohiuddine Название: Convergence Methods for Double Sequences and Applications ISBN: 8132216105 ISBN-13(EAN): 9788132216100 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book`s dedicated focus on the `almost` convergence and statistical convergence of double sequences demystifies the concept using a host of revealing examples, highlighting the application of double sequences in key areas of pure and applied mathematics.
Автор: Little Charles H.C. Название: Real Analysis via Sequences and Series ISBN: 1493926500 ISBN-13(EAN): 9781493926503 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis`s formula and Stirling`s formula, proofs of the irrationality of ГЇВїВЅ and e and a treatment of Newton`s method as a special instance of finding fixed points of iterated functions.
Автор: Samko, Stefan Название: Hypersingular Integrals and Their Applications ISBN: 0415272688 ISBN-13(EAN): 9780415272681 Издательство: Taylor&Francis Рейтинг: Цена: 224570.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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