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On the Connectivity Properties of the [rho]-boundary of the Unit Ball

On the Connectivity Properties of the [rho]-boundary of the Unit Ball PDF Author: Timo Tossavainen
Publisher:
ISBN:
Category : Measure theory
Languages : en
Pages : 46

Book Description


On the Connectivity Properties of the [rho]-boundary of the Unit Ball

On the Connectivity Properties of the [rho]-boundary of the Unit Ball PDF Author: Timo Tossavainen
Publisher:
ISBN:
Category : Measure theory
Languages : en
Pages : 46

Book Description


Annales Academiae Scientiarum Fennicae

Annales Academiae Scientiarum Fennicae PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 518

Book Description


Partial Differential Equations

Partial Differential Equations PDF Author: Walter A. Strauss
Publisher: John Wiley & Sons
ISBN: 0470054565
Category : Mathematics
Languages : en
Pages : 467

Book Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Geodesic Flows

Geodesic Flows PDF Author: Gabriel P. Paternain
Publisher: Springer Science & Business Media
ISBN: 1461216001
Category : Mathematics
Languages : en
Pages : 160

Book Description
The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered are close to my research interests. An important goal here is to describe properties of the geodesic flow which do not require curvature assumptions. A typical example of such a property and a central result in this work is Mane's formula that relates the topological entropy of the geodesic flow with the exponential growth rate of the average numbers of geodesic arcs between two points in the manifold. The material here can be reasonably covered in a one-semester course. I have in mind an audience with prior exposure to the fundamentals of Riemannian geometry and dynamical systems. I am very grateful for the assistance and criticism of several people in preparing the text. In particular, I wish to thank Leonardo Macarini and Nelson Moller who helped me with the writing of the first two chapters and the figures. Gonzalo Tomaria caught several errors and contributed with helpful suggestions. Pablo Spallanzani wrote solutions to several of the exercises. I have used his solutions to write many of the hints and answers. I also wish to thank the referee for a very careful reading of the manuscript and for a large number of comments with corrections and suggestions for improvement.

Drug-like Properties: Concepts, Structure Design and Methods

Drug-like Properties: Concepts, Structure Design and Methods PDF Author: Li Di
Publisher: Elsevier
ISBN: 0080557619
Category : Science
Languages : en
Pages : 549

Book Description
Of the thousands of novel compounds that a drug discovery project team invents and that bind to the therapeutic target, typically only a fraction of these have sufficient ADME/Tox properties to become a drug product. Understanding ADME/Tox is critical for all drug researchers, owing to its increasing importance in advancing high quality candidates to clinical studies and the processes of drug discovery. If the properties are weak, the candidate will have a high risk of failure or be less desirable as a drug product. This book is a tool and resource for scientists engaged in, or preparing for, the selection and optimization process. The authors describe how properties affect in vivo pharmacological activity and impact in vitro assays. Individual drug-like properties are discussed from a practical point of view, such as solubility, permeability and metabolic stability, with regard to fundamental understanding, applications of property data in drug discovery and examples of structural modifications that have achieved improved property performance. The authors also review various methods for the screening (high throughput), diagnosis (medium throughput) and in-depth (low throughput) analysis of drug properties. - Serves as an essential working handbook aimed at scientists and students in medicinal chemistry - Provides practical, step-by-step guidance on property fundamentals, effects, structure-property relationships, and structure modification strategies - Discusses improvements in pharmacokinetics from a practical chemist's standpoint

Encyclopaedia of Mathematics, Supplement III

Encyclopaedia of Mathematics, Supplement III PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 0306483734
Category : Mathematics
Languages : en
Pages : 564

Book Description
This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Harmonic Function Theory

Harmonic Function Theory PDF Author: Sheldon Axler
Publisher: Springer Science & Business Media
ISBN: 1475781377
Category : Mathematics
Languages : en
Pages : 266

Book Description
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.

Topology of Metric Spaces

Topology of Metric Spaces PDF Author: S. Kumaresan
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842652503
Category : Computers
Languages : en
Pages : 172

Book Description
"Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis." "Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general (or point-set) topology so that students will acquire a lot of concrete examples of spaces and maps."--BOOK JACKET.

The Heat Equation

The Heat Equation PDF Author: D. V. Widder
Publisher: Academic Press
ISBN: 0080873839
Category : Science
Languages : en
Pages : 285

Book Description
The Heat Equation

Handbook of Hydraulic Resistance

Handbook of Hydraulic Resistance PDF Author: I. E. Idelchik
Publisher:
ISBN: 9788179921180
Category : Fluid dynamics
Languages : en
Pages : 0

Book Description
The handbook has been composed on the basis of processing, systematization and classification of the results of a great number of investigations published at different time. The essential part of the book is the outcome of investigations carried out by the author. The present edition of this handbook should assist in increasing the quality and efficiency of the design and usage of indutrial power engineering and other constructions and also of the devices and apparatus through which liquids and gases move.