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Morrey Spaces
In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. There are three main claims concerning these spaces that are covered: determining the integrability classes of the trace of Riesz potentials of an arbitrary Morrey function; determining the dimensions of singular sets of weak solutions of PDE (e.g. The…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26679-4
- Collation
- XVII, 124
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- -
Ordinary Differential Equations : Basics and Beyond
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions.
- Edition
- -
- ISBN/ISSN
- 978-1-4939-6389-8
- Collation
- -
- Series Title
- Texts in Applied Mathematics
- Call Number
- 515.35 SCH o
Elliptic and Parabolic Equations Hannover, September 2013
The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-12547-3
- Collation
- 10 b/w illustrations, 3 illustrations in colour
- Series Title
- -
- Call Number
- -
Elliptic Regularity Theory A First Course
These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinui…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27485-0
- Collation
- XII, 201
- Series Title
- -
- Call Number
- -
Modelling of Convective Heat and Mass Transfer in Rotating Flows
This monograph presents results of the analytical and numerical modeling of convective heat and mass transfer in different rotating flows caused by (i) system rotation, (ii) swirl flows due to swirl generators, and (iii) surface curvature in turns and bends. Volume forces (i.e. centrifugal and Coriolis forces), which influence the flow pattern, emerge in all of these rotating flows. The main pa…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-20960-9
- Collation
- XXII, 235
- Series Title
- Mathematical Engineering
- Call Number
- -
Metric Modular Spaces
Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the m…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-25281-0
- Collation
- XIII, 137
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- -
Methods of Mathematical Modelling
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary dif…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23041-2
- Collation
- XVIII, 305
- Series Title
- Springer Undergraduate Mathematics Series
- Call Number
- -
Elementary Differential Equations
Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: …
- Edition
- -
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 500
Notes on Diffy Qs: Differential Equations for Engineers
This book originated from my class notes for teaching Math 286 at the University of Illinois at Urbana-Champaign in Fall 2008 and Spring 2009. It is a first course on differential equations for engineers. I also taught Math 285 at UIUC and Math 20D at UCSD using this book. The standard book at UIUC was Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Model…
- Edition
- -
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 515 LEB n
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