Advanced Courses Of Mathematical Analysis V

Author : Juan Carlos Navarro Pascual,El Amín Kaidi
Publisher : World Scientific
Page : 320 pages
File Size : 53,5 Mb
Release : 2016-06-24
Category : Mathematics
ISBN : 9789814699709

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Advanced Courses of Mathematical Analysis V by Juan Carlos Navarro Pascual,El Amín Kaidi Pdf

This volume contains recent papers by several specialists in different fields of mathematical analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to measure theory, harmonic analysis, non-associative structures in functional analysis and summability in locally convex spaces. Those interested in researching any areas of mathematical analysis will find here numerous suggestions on possible topics with an important impact today. Often, the contributions are presented in an expository nature and this makes the discussed topics accessible to a more general audience. Contents:Measurability and Semi-Continuity of Multifunctions (B Cascales)Introduction to Interpolation Theory (F Cobos)Optimality of Function Spaces in Sobolev Embeddings (L Pick)Derivations and Projections on Jordan Triples: An introduction to Nonassociative Algebra, Continuous Cohomology, and Quantum Functional Analysis (B Russo)Weighted Inequalities and Extrapolation (J Duoandikoetxea)A Note on the Off-Diagonal Muckenhoupt–Wheeden Conjecture (D Cruz-Uribe, J M Martell and C Pérez)On the Interplay Between Nonlinear Partial Differential Equations and Game Theory (J D Rossi)The Radon–Nikodým Theorem for Vector Measures and Integral Representation of Operators on Banach Function Spaces (E A Sánchez Pérez)The Orlicz–Pettis Theorem for Multiplier Convergent Series (C Swartz) Readership: Graduate students in mathematics and researchers in mathematical analysis.

Author : Patrick Fitzpatrick
Publisher : American Mathematical Soc.
Page : 610 pages
File Size : 48,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847916

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Advanced Calculus by Patrick Fitzpatrick Pdf

"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.

Author : R. Beals
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 45,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781468498868

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Advanced Mathematical Analysis by R. Beals Pdf

Once upon a time students of mathematics and students of science or engineering took the same courses in mathematical analysis beyond calculus. Now it is common to separate" advanced mathematics for science and engi neering" from what might be called "advanced mathematical analysis for mathematicians." It seems to me both useful and timely to attempt a reconciliation. The separation between kinds of courses has unhealthy effects. Mathe matics students reverse the historical development of analysis, learning the unifying abstractions first and the examples later (if ever). Science students learn the examples as taught generations ago, missing modern insights. A choice between encountering Fourier series as a minor instance of the repre sentation theory of Banach algebras, and encountering Fourier series in isolation and developed in an ad hoc manner, is no choice at all. It is easy to recognize these problems, but less easy to counter the legiti mate pressures which have led to a separation. Modern mathematics has broadened our perspectives by abstraction and bold generalization, while developing techniques which can treat classical theories in a definitive way. On the other hand, the applier of mathematics has continued to need a variety of definite tools and has not had the time to acquire the broadest and most definitive grasp-to learn necessary and sufficient conditions when simple sufficient conditions will serve, or to learn the general framework encompass ing different examples.

Author : Francisco Javier Martin-reyes,Cristobal Gonzalez,Maria Lorente-dominguez,Pedro Ortega-salvador
Publisher : World Scientific
Page : 248 pages
File Size : 55,5 Mb
Release : 2016-10-27
Category : Mathematics
ISBN : 9789813147652

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Advanced Courses Of Mathematical Analysis Vi - Proceedings Of The Sixth International School by Francisco Javier Martin-reyes,Cristobal Gonzalez,Maria Lorente-dominguez,Pedro Ortega-salvador Pdf

This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. The contributions are presented with a remarkable expository nature and this makes the discussed topics accessible to a more general audience.

Author : G. B. Folland
Publisher : Pearson
Page : 0 pages
File Size : 55,6 Mb
Release : 2002
Category : Calcul infinitésimal
ISBN : 0130652652

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Advanced Calculus by G. B. Folland Pdf

For undergraduate courses in Advanced Calculus and Real Analysis. This text presents a unified view of calculus in which theory and practice reinforce each other. It covers the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard advanced calculus books.

Author : F. Javier Perez-Fernandez,Fernando Rambla-Barreno
Publisher : World Scientific
Page : 260 pages
File Size : 49,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814335812

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Advanced Courses of Mathematical Analysis IV by F. Javier Perez-Fernandez,Fernando Rambla-Barreno Pdf

This Proceedings contains a collection of articles by front-line researchers in Mathematical Analysis, giving the reader a wide perspective of the current research in several areas like Functional Analysis, Complex Analysis and Measure Theory. The works are a fundamental source for current and future developments in these research fields. The articles and surveys have been collected as well as reference results scattered in the corresponding literature and thus, are highly useful to researchers.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 47,6 Mb
Release : 2024-06-18
Category : Electronic
ISBN : 9789814470834

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Advanced Courses of Mathematical Analysis III by Anonim Pdf

Author : M. V. Velasco
Publisher : World Scientific
Page : 227 pages
File Size : 50,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812566522

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Advanced Courses of Mathematical Analysis II by M. V. Velasco Pdf

This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of new directions and advances in topics for current and future research in the field. Contents: Lineable and Spaceable Properties (R M Aron); Alexander Grothendieck's Work on Functional Analysis (F Bombal); Maximal Functions in Fourier Analysis (J Duoandikoetxea); Hypercyclic Operators: Some Recent Progress (G Godefroy); On the Hahn-Banach Theorem (L Narici); Lipschitz Quotient Maps Between Banach Spaces (W B Johnson); Approximation Algorithms in Banach Spaces (N Kalton); Spectral Properties of Cesa'ro-Like Operators (M M Neumann); Some Ideas on Mathematical Training Concerning Mathematical Analysis (B Rubio); Interpolation and Sampling (K Seip); Classes of Indefinitely Differentiable Functions (M Valdivia); Classical Potential Theory and Analytic Capacity (J Verdera); Best Approximations on Small Regions: A General Approach (F Zo & H H Cuenya). Readership: Mathematicians in analysis and differential equations and approximation theory.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 42,6 Mb
Release : 2024-06-18
Category : Electronic
ISBN : 9789814478632

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Advanced Courses of Mathematical Analysis II by Anonim Pdf

Author : Benavides Tomas Dominguez
Publisher : World Scientific
Page : 209 pages
File Size : 52,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812818454

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Advanced Courses of Mathematical Analysis III by Benavides Tomas Dominguez Pdf

This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of the present-day research in different areas of mathematical analysis (complex variable, harmonic analysis, real analysis and functional analysis) that holds great promise for current and future developments. These review articles are highly useful for those who want to learn about these topics, as many results scattered in the literature are reflected through the many separate papers featured herein.

Author : Kenneth A. Ross
Publisher : CUP Archive
Page : 192 pages
File Size : 52,5 Mb
Release : 2014-01-15
Category : Mathematics
ISBN : 8210379456XXX

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Elementary Analysis by Kenneth A. Ross Pdf

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 42,7 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Author : Michael Ruzhansky,Hemen Dutta
Publisher : CRC Press
Page : 338 pages
File Size : 52,9 Mb
Release : 2019-01-08
Category : Mathematics
ISBN : 9781351142106

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Advanced Topics in Mathematical Analysis by Michael Ruzhansky,Hemen Dutta Pdf

Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.

Author : Pradip Debnath,Delfim F. M. Torres,Yeol Je Cho
Publisher : CRC Press
Page : 493 pages
File Size : 42,9 Mb
Release : 2023-10-17
Category : Mathematics
ISBN : 9781000967265

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Advanced Mathematical Analysis and its Applications by Pradip Debnath,Delfim F. M. Torres,Yeol Je Cho Pdf

Advanced Mathematical Analysis and its Applications presents state-of-the-art developments in mathematical analysis through new and original contributions and surveys, with a particular emphasis on applications in engineering and mathematical sciences. New research directions are indicated in each of the chapters, and while this book is meant primarily for graduate students, there is content that will be equally useful and stimulating for faculty and researchers. The readers of this book will require minimum knowledge of real, complex, and functional analysis, and topology. Features Suitable as a reference for graduate students, researchers, and faculty Contains the most up-to-date developments at the time of writing.

Author : Robert S. Borden
Publisher : Courier Corporation
Page : 421 pages
File Size : 45,8 Mb
Release : 2012-09-11
Category : Mathematics
ISBN : 9780486150383

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A Course in Advanced Calculus by Robert S. Borden Pdf

This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras. Beginning with a look at sets and structures, the text advances to such topics as limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more. Carefully chosen problems appear at the end of each chapter, and this new edition features an additional appendix of tips and solutions for selected problems.