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Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued funct…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-48520-1
- Collation
- XVII, 614
- Series Title
- Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
- Call Number
- 519.2 ANA a
A First Introduction to the Finite Element Analysis Program MSC Marc/Menta
This book offers a brief introduction to the general-purpose finite element program MSC Marc, focusing on providing simple examples, often single-element problems, which can easily be related to the theory that is discussed in finite element lectures. As such, it is an ideal companion book to classical introductory courses on the finite element method. MSC Marc is a specialized program for non-…
- Edition
- 2
- ISBN/ISSN
- 9783319719153
- Collation
- -
- Series Title
- -
- Call Number
- -
Analysis and Computation of Microstructure in Finite Plasticity
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-18242-1
- Collation
- XII, 257
- Series Title
- Lecture Notes in Applied and Computational Mechanics
- Call Number
- 515.7 ANA a
Analysis II: Third Edition
This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration),…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-981-10-1804-6
- Collation
- XVII, 220
- Series Title
- Texts and Readings in Mathematics
- Call Number
- 515 TAO a
Analysis I: Third Edition
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration),…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-981-10-1789-6
- Collation
- XIX, 350
- Series Title
- Texts and Readings in Mathematics
- Call Number
- 515 TAO a
Analysis: From Concepts to Applications
This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analys…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-32411-1
- Collation
- XXIII, 669
- Series Title
- Universitext
- Call Number
- 515.3 PEN a
An Introductory Course in Lebesgue Spaces
This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic an…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-30034-4
- Collation
- XII, 461
- Series Title
- CMS Books in Mathematics
- Call Number
- 515.7 CAS i
An Introduction to Ultrametric Summability Theory
This is the second, completely revised and expanded edition of the author’s first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branc…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-81-322-2559-1
- Collation
- XIII, 159
- Series Title
- Forum for Interdisciplinary Mathematics
- Call Number
- 519.4 NAT i
An Introduction to Special Functions
The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensabl…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-41345-7
- Collation
- VIII, 168
- Series Title
- UNITEXT
- Call Number
- 515.5 VIO i
An Introduction to Modern Analysis
Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12481-0
- Collation
- XXXI, 863
- Series Title
- -
- Call Number
- 519.4 MON i
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