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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
Non-Linear Finite Element Analysis in Structural Mechanics
This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-34261-0
- Collation
- XIV, 363
- Series Title
- -
- Call Number
- -
Non-Archimedean Operator Theory
This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasi…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27322-8
- Collation
- XIII, 156
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- -
Noether's Theorems:Applications in Mechanics and Field Theory
The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very g…
- Edition
- 1
- ISBN/ISSN
- 978-94-6239-170-3
- Collation
- XVII, 297
- Series Title
- Atlantis Studies in Variational Geometry
- Call Number
- -
Nigel J. Kalton Selecta
This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18795-2
- Collation
- XIV, 771
- Series Title
- Contemporary Mathematicians
- Call Number
- -
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