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Real Analysis
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. T…
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- ISBN/ISSN
- 978-3-319-30744-2
- Collation
- -
- Series Title
- -
- Call Number
- 001.4
Real Analysis: Foundations and Functions of One Variable
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic an…
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- ISBN/ISSN
- 978-1-4939-2766-1
- Collation
- -
- Series Title
- -
- Call Number
- 001.4
Entropy Methods for Diffusive Partial Differential Equations
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of …
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- ISBN/ISSN
- 978-3-319-34219-1
- Collation
- 1 illustrations in colour
- Series Title
- -
- Call Number
- -
A Fixed-Point Farrago
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite materi…
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- ISBN/ISSN
- 978-3-319-27978-7
- Collation
- -
- Series Title
- Universitext
- Call Number
- 518 SHA f
A Cp-Theory Problem Book: Compactness in Function Spaces
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 var…
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- ISBN/ISSN
- 978-3-319-16092-4
- Collation
- -
- Series Title
- Problem Books in Mathematics
- Call Number
- 512 TKA a
A Concise Introduction to Analysis
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-24469-3
- Collation
- -
- Series Title
- -
- Call Number
- 515.9 STR c
Engineering Computation of Structures: The Finite Element Method
This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems. Readers of this text are encouraged to discover the pro…
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- ISBN/ISSN
- 978-3-319-17710-6
- Collation
- XIII, 314
- Series Title
- -
- Call Number
- -
2nd International Multidisciplinary Microscopy and Microanalysis Congress: Pr…
The 2nd International Multidisciplinary Microscopy and Microanalysis Congress & Exhibition (InterM 2014) was held on 16–19 October 2014 in Oludeniz, Fethiye/ Mugla, Turkey. The aim of the congress was to gather scientists from various branches and discuss the latest improvements in the field of microscopy. The focus of the congress has been widened in an "interdisciplinary" manner, so as t…
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- ISBN/ISSN
- 978-3-319-16919-4
- Collation
- -
- Series Title
- Springer Proceedings in Physics
- Call Number
- 543.54 INT i
Theory of Reproducing Kernels and Applications
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
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- ISBN/ISSN
- 978-981-10-0530-5
- Collation
- 1 b/w illustrations
- Series Title
- -
- Call Number
- -
Theory of Distributions
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. Thi…
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- ISBN/ISSN
- 978-3-319-19527-8
- Collation
- VIII, 218
- Series Title
- -
- Call Number
- -
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