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Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and …
This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue proble…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-81162-8
- Collation
- X, 194
- Series Title
- -
- Call Number
- -
Topics in Banach Space Theory
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy appr…
- Edition
- 2
- ISBN/ISSN
- 978-3-319-31555-3
- Collation
- XX, 508
- Series Title
- Graduate Texts in Mathematics
- Call Number
- -
Introduction to Nonlinear Finite Element Analysis
This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems…
- Edition
- -
- ISBN/ISSN
- 978-1-4419-1746-1
- Collation
- -
- Series Title
- -
- Call Number
- -
Introduction to Modern Fortran for the Earth System Sciences
This work provides a short "getting started" guide to Fortran 90/95. The main target audience consists of newcomers to the field of numerical computation within Earth system sciences (students, researchers or scientific programmers). Furthermore, readers accustomed to other programming languages may also benefit from this work, by discovering how some programming techniques they are familiar wi…
- Edition
- -
- ISBN/ISSN
- 978-3-642-37009-0
- Collation
- -
- Series Title
- -
- Call Number
- -
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…
- Edition
- -
- 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…
- Edition
- -
- 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 …
- Edition
- -
- 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…
- Edition
- -
- 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…
- Edition
- -
- 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
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