David Sattinger's Books

Group Theoretic Methods in Bifurcation Theory

By: David H. Sattinger

Write a review Read reviews Take a Quiz Solve Book Puzzle

Group Theoretic Methods in Bifurcation Theory

By: David H. Sattinger

Ischemia and Loss of Vascular Autoregulation in Ocular and Cerebral Diseases: A New Perspective presents evidence that ischemia and loss of autoregulation of blood flow are associated with the onset of the major ocular and cerebral diseases including macular degeneration, diabetic retinopathy, low and normal tension open angle glaucoma, stroke and Alzheimer's disease. Recognition of these vascular changes underline the critical need for clinicians to monitor blood flow and autoregulation to improve early diagnosis and to optimize therapies of ocular and cerebral vascular diseases. The text brings to clinicians in Ophthalmology, Neurology, Medicine, Optometry and Geriatrics decisive guidance on the practical aspects for early diagnosis and treatment of ocular and cerebral diseases. The author brings together in a concise form the progress made over the span of his career and provides new perspectives and understanding of the fluid circulations of the eye and the brain. In addition, he explains the new analytical technologies that made the new concepts possible. The physiological and functional importance of blood flow autoregulation in the eye and in the brain in minimizing the progression of pathology, including the ischemia resulting from stenosis of the internal carotid artery and stroke, are also presented . ABOUT THE AUTHOR: Dr. Langham was born in London, England. In 1947, he joined the Ophthalmological Research Unit, newly formed by the Medical Research Council of the United Kingdom under the direction of Sir Stewart Duke-Elder. In 1956, the author enjoyed a research fellowship at Harvard University. After returning to England for a time, he accepted a position of Associate Professor of Ophthalmology and Director of Research at the Wilmer Ophthalmological Institute of the Johns Hopkins Hospital and Medical school in 1959. There he initiated a program in which all residents spent time engaged in research. This productive interaction between the disciplines led to many important clinical diagnostic and therapeutic advances.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

246

Publisher

Springer

Published Date

ISBN 10

3540384871

ISBN 13

9783540384878

Branching in the Presence of Symmetry

By: David H. Sattinger

Write a review Read reviews Take a Quiz Solve Book Puzzle

Branching in the Presence of Symmetry

By: David H. Sattinger

A discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

Publisher

SIAM

Published Date

ISBN 10

1611970296

ISBN 13

9781611970296

Inverse Scattering and Applications

By: David H. Sattinger

Write a review Read reviews Take a Quiz Solve Book Puzzle

Inverse Scattering and Applications

By: David H. Sattinger

This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst. A wide variety of topics in inverse problems were covered: inverse scattering problems on the line; inverse problems in higher dimensions; inverse conductivity problems; and numerical methods. In addition, problems from statistical physics were covered, including monodromy problems, quantum inverse scattering, and the Bethe ansatz. One of the aims of the conference was to bring together researchers in a variety of areas of inverse problems which have seen intensive activity in recent years. scattering

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

150

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821851292

ISBN 13

9780821851296

Scaling Limits and Models in Physical Processes

By: Carlo Cercignani,David Sattinger

Write a review Read reviews Take a Quiz Solve Book Puzzle

Scaling Limits and Models in Physical Processes

By: Carlo Cercignani,David Sattinger

This is an introductory text, in two parts, on scaling limits and modelling in equations of mathematical physics. The first part is concerned with basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of non-equilibrium phenomena in large systems. It also features a very readable historic survey of the field. The second part dwells on the role of integrable systems for modelling weakly nonlinear equations which contain the effects of both dispersion and nonlinearity. Starting with a historical introduction to the subject and a description of numerical techniques, it proceeds to a discussion of the derivation of the Korteweg de Vries and nonlinear Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger operator. The book provides an up-to-date and detailed overview to this very active area of research and is intended as an accessible introduction for non-specialists and graduate students in mathematics, physics and engineering.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

192

Publisher

Birkhäuser

Published Date

ISBN 10

3034888104

ISBN 13

9783034888103

An Introduction to Nonlinear Partial Differential Equations

By: J. David Logan

Write a review Read reviews Take a Quiz Solve Book Puzzle

An Introduction to Nonlinear Partial Differential Equations

By: J. David Logan

Praise for the First Edition: "This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds." —SIAM Review A practical introduction to nonlinear PDEs and their real-world applications Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied mathematics. This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations. Unlike comparable books that typically only use formal proofs and theory to demonstrate results, An Introduction to Nonlinear Partial Differential Equations, Second Edition takes a more practical approach to nonlinear PDEs by emphasizing how the results are used, why they are important, and how they are applied to real problems. The intertwining relationship between mathematics and physical phenomena is discovered using detailed examples of applications across various areas such as biology, combustion, traffic flow, heat transfer, fluid mechanics, quantum mechanics, and the chemical reactor theory. New features of the Second Edition also include: Additional intermediate-level exercises that facilitate the development of advanced problem-solving skills New applications in the biological sciences, including age-structure, pattern formation, and the propagation of diseases An expanded bibliography that facilitates further investigation into specialized topics With individual, self-contained chapters and a broad scope of coverage that offers instructors the flexibility to design courses to meet specific objectives, An Introduction to Nonlinear Partial Differential Equations, Second Edition is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

416

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470225955

ISBN 13

9780470225950

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)

By: Spyridon Kamvissis,Kenneth D.T-R McLaughlin,Peter David Miller,Peter D. Miller

Write a review Read reviews Take a Quiz Solve Book Puzzle

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)

By: Spyridon Kamvissis,Kenneth D.T-R McLaughlin,Peter David Miller,Peter D. Miller

Providing an asymptotic analysis via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime, this text exploits complete integrability to establish pointwise asymptotics for this problem's solution.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

281

Publisher

Princeton University Press

Published Date

ISBN 10

069111482X

ISBN 13

9780691114828

Emerging Syntheses In Science

By: David Pines

Write a review Read reviews Take a Quiz Solve Book Puzzle

Emerging Syntheses In Science

By: David Pines

Evolution of self-replicating macromolecules through natural selection is a dynamically ordered process. Two concepts are introduced to describe the physical regularity of macromolecular evolution: sequence space and quasi-species. Natural selection means localization of a mutant distribution in sequence space. This localized distribution, called the quasi-species, is centered around a master sequence (or a degenerate set), that the biologist would call the wild-type. The self-ordering of such a system is an essential consequence of its formation through self-reproduction of its macromolecular consti tuents, a process that in the dynamical equations expresses itself by positive diagonal coefficients called selective values. The theory describes how population numbers of wild type and mutants are related to the distribution of selective values, that is to say, how value topography maps into population topography. For selectively (nearly) neutral mutants appearing in the quasi- species distribution, population numbers are greatly enhanced as compared to those of disadvantageous mutants, even more so in continuous domains of such selectively valuable mutants. As a consequence, mutants far distant from the wild type may occur because they are produced with the help of highly populated, less distant precursors. Since values are cohesively distributed, like mountains on earth, and since their positions are multiply connected in the high-dimensional sequence space, the overpopulation of (nearly) neural mutants provides guidance for the evolutionary process. Localization in sequence space, subject to a threshold in the fidelity of reproduction, is steadily challenged until an optimal state is reached. The model has been designed according to experimentally determined properties of self-replicating molecules. The conclusions reached from the theoretical models can be used to construct machines that provide optimal conditions for the evolution of functional macromolecules.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

252

Publisher

CRC Press

Published Date

ISBN 10

0429961146

ISBN 13

9780429961144

Distribution of Income and Wealth in Ontario

Theory and Evidence

By: Charles M. Beach,Frank Flatters,David E. Card

Write a review Read reviews Take a Quiz Solve Book Puzzle

Distribution of Income and Wealth in Ontario

Theory and Evidence

By: Charles M. Beach,Frank Flatters,David E. Card

Distribution analysis has advanced remarkably in recent years, and this is a valuable application of its principles to a Canadian context. The book provides an extensive survey of recent literature and a new source of income and wealth distribution data for Ontario, drawn from newly available microdata sets. It also presents an evaluation of the data as a basis for measuring inequality in the distribution of economic and well-being. The empirical results illustrate how incomes vary significantly with age according to labour market attachment and experience, educational attainment and occupation, transfer receipts, and investment benefits. Similarly, strong age effects on net worth account reflect life-cycle patterns in asset holdings and debts typically associated with family investment in housing and financial adjustments for retirement. Differences in family size and composition have a substantial effect on the structure of family economic well-being. The inequality effects of adjusting for accrued capital gains and net worth holdings can also be quite significant. It is found that the distributional effects of CPP net benefits are considerable, although they are not as equalizing as one may have expected because of marked cohort effects. The detailed findings suggest that the life-cycle framework is a very useful one for evaluating the distributional effects of certain government programs, particularly intertemporal ones, and they underline the need for a range of different types of policies to address low income problems. The study urges greater recognition of the inequality of treatment and opportunity among different groups of the population. It also points out that conventional income distribution figures are only very imperfect estimates of the state of inequality in the underlying distribution of economic well-being.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

375

Publisher

University of Toronto Press

Published Date

ISBN 10

1442633387

ISBN 13

9781442633384

Inverse Scattering Theory and Transmission Eigenvalues

By: Fioralba Cakoni,David Colton,Houssem Haddar

Write a review Read reviews Take a Quiz Solve Book Puzzle

Inverse Scattering Theory and Transmission Eigenvalues

By: Fioralba Cakoni,David Colton,Houssem Haddar

Inverse scattering theory is a major theme of applied mathematics, and it has applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting particular problems in the development of efficient inversion algorithms. Although linearized models continue to play an important role in many applications, an increased need to focus on problems in which multiple scattering effects cannot be ignored has led to a central role for nonlinearity, and the possibility of collecting large amounts of data over limited regions of space means that the ill-posed nature of the inverse scattering problem has become a problem of central importance.? Initial efforts to address the nonlinear and the ill-posed nature of the inverse scattering problem focused on nonlinear optimization methods. While efficient in many situations, strong a priori information is necessary for their implementation. This problem led to a qualitative approach to inverse scattering theory in which the amount of a priori information is drastically reduced, although at the expense of only obtaining limited information about the values of the constitutive parameters. This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues.? The authors begin with a basic introduction to the theory, then proceed to more recent developments, including a detailed discussion of the transmission eigenvalue problem; present the new generalized linear sampling method in addition to the well-known linear sampling and factorization methods; and in order to achieve clarification of presentation, focus on the inverse scattering problem for scalar homogeneous media.?

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

200

Publisher

SIAM

Published Date

ISBN 10

1611974461

ISBN 13

9781611974461

Engineering UAS Applications: Sensor Fusion, Machine Vision and Mission Management

By: Jesús Garcia,José M. Molina,Juan Pedro Llerena,Daniel Amigo,David Sánchez Pedroche

Write a review Read reviews Take a Quiz Solve Book Puzzle

Engineering UAS Applications: Sensor Fusion, Machine Vision and Mission Management

By: Jesús Garcia,José M. Molina,Juan Pedro Llerena,Daniel Amigo,David Sánchez Pedroche

Unmanned aerial systems (UAS) have evolved rapidly in recent years thanks to advances in microelectromechanical components, navigation, perception, and artificial intelligence, allowing for a fast development of autonomy. This book presents general approaches to develop, test, and evaluate critical functions such as navigation, obstacle avoidance and perception, and the capacity to improve performance in real and simulated scenarios. It provides the practical knowledge to install, analyze and evaluate UAS solutions working in real systems; illustrates how to use and configure complete platforms and software tools; and reviews the main enabling technologies applied to develop UAS, possibilities and evaluation methodology. You will get the tools you need to evaluate navigation and obstacle avoidance functions, object detection, and planning and landing alternatives in simulated conditions. The book also provides helpful guidance on the integration of additional sensors (video, weather, meteorological) and communication networks to build IoT solutions. This is an important book for practitioners and researchers interested in integrating advanced techniques in the fields of AI, sensor fusion and mission management, and anyone interest in applying and testing advanced algorithms in UAS platforms.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

317

Publisher

Artech House

Published Date

ISBN 10

1630819840

ISBN 13

9781630819842

Modeling MEMS and NEMS

By: John A. Pelesko,David H. Bernstein

Write a review Read reviews Take a Quiz Solve Book Puzzle

Modeling MEMS and NEMS

By: John A. Pelesko,David H. Bernstein

Designing small structures necessitates an a priori understanding of various device behaviors. The way to gain such understanding is to construct, analyze, and interpret the proper mathematical model. Through such models, Modeling MEMS and NEMS illuminates microscale and nanoscale phenomena, thereby facilitating the design and optimization o

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

382

Publisher

CRC Press

Published Date

ISBN 10

1420035290

ISBN 13

9781420035292

Singularities and Groups in Bifurcation Theory

Volume II

By: Martin Golubitsky,Ian Stewart,David G. Schaeffer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Singularities and Groups in Bifurcation Theory

Volume II

By: Martin Golubitsky,Ian Stewart,David G. Schaeffer

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

551

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461245745

ISBN 13

9781461245742

Transport Modeling in Hydrogeochemical Systems

By: J.David Logan

Write a review Read reviews Take a Quiz Solve Book Puzzle

Transport Modeling in Hydrogeochemical Systems

By: J.David Logan

This textbook develops the basic ideas of transport models in hydrogeology, including diffusion-dispersion processes, advection, and adsorption or reaction. The book serves as an excellent text or supplementary reading in courses in applied mathematics, contaminant hydrology, ground water modeling, or hydrogeology.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

228

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475735189

ISBN 13

9781475735185

Mathematical Problems from Combustion Theory

By: Jerrold Bebernes,David Eberly

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Problems from Combustion Theory

By: Jerrold Bebernes,David Eberly

This monograph evolved over the past five years. It had its origin as a set of lecture notes prepared for the Ninth Summer School of Mathematical Physics held at Ravello, Italy, in 1984 and was further refined in seminars and lectures given primarily at the University of Colorado. The material presented is the product of a single mathematical question raised by Dave Kassoy over ten years ago. This question and its partial resolution led to a successful, exciting, almost unique interdisciplinary col laborative scientific effort. The mathematical models described are often times deceptively simple in appearance. But they exhibit a mathematical richness and beauty that belies that simplicity and affirms their physical significance. The mathe matical tools required to resolve the various problems raised are diverse, and no systematic attempt is made to give the necessary mathematical background. The unifying theme of the monograph is the set of models themselves. This monograph would never have come to fruition without the enthu siasm and drive of Dave Eberly-a former student, now collaborator and coauthor-and without several significant breakthroughs in our understand ing of the phenomena of blowup or thermal runaway which certain models discussed possess. A collaborator and former student who has made significant contribu tions throughout is Alberto Bressan. There are many other collaborators William Troy, Watson Fulks, Andrew Lacey, Klaus Schmitt-and former students-Paul Talaga and Richard Ely-who must be acknowledged and thanked.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

187

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146124546X

ISBN 13

9781461245469

Singular Sets of Minimizers for the Mumford-Shah Functional

By: Guy David

Write a review Read reviews Take a Quiz Solve Book Puzzle

Singular Sets of Minimizers for the Mumford-Shah Functional

By: Guy David

The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. It is largely self-contained, and should be accessible to graduate students in analysis. The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

608

Publisher

Springer Science & Business Media

Published Date

ISBN 10

376437182X

ISBN 13

9783764371821

Surveys in Applied Mathematics

By: Joseph B. Keller,David W. McLaughlin,George C. Papanicolaou

Write a review Read reviews Take a Quiz Solve Book Puzzle

Surveys in Applied Mathematics

By: Joseph B. Keller,David W. McLaughlin,George C. Papanicolaou

Partial differential equations play a central role in many branches of science and engineering. Therefore it is important to solve problems involving them. One aspect of solving a partial differential equation problem is to show that it is well-posed, i. e. , that it has one and only one solution, and that the solution depends continuously on the data of the problem. Another aspect is to obtain detailed quantitative information about the solution. The traditional method for doing this was to find a representation of the solution as a series or integral of known special functions, and then to evaluate the series or integral by numerical or by asymptotic methods. The shortcoming of this method is that there are relatively few problems for which such representations can be found. Consequently, the traditional method has been replaced by methods for direct solution of problems either numerically or asymptotically. This article is devoted to a particular method, called the "ray method," for the asymptotic solution of problems for linear partial differential equations governing wave propagation. These equations involve a parameter, such as the wavelength. . \, which is small compared to all other lengths in the problem. The ray method is used to construct an asymptotic expansion of the solution which is valid near . . \ = 0, or equivalently for k = 21r I A near infinity.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

273

Publisher

Springer

Published Date

ISBN 10

1489904360

ISBN 13

9781489904362

Inverse Acoustic and Electromagnetic Scattering Theory

By: David Colton,Rainer Kress

Write a review Read reviews Take a Quiz Solve Book Puzzle

Inverse Acoustic and Electromagnetic Scattering Theory

By: David Colton,Rainer Kress

It has now been almost ten years since our first book on scattering theory ap peared [32]. At that time we claimed that "in recent years the development of integral equation methods for the direct scattering problem seems to be nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a 'state of the art' survey appears highly desirable". Since we wrote these words, the inverse scattering problem for acoustic and electromagnetic waves has grown from being a few theoreti cal considerations with limited numerical implementations to a weH developed mathematical theory with tested numerical algorithms. This maturing of the field of inverse scattering theory has been based on the realization that such problems are in general not only nonlinear but also improperly posed in the sense that the solution does not depend continuously on the measured data. This was emphasized in [32] and treated with the ideas and tools available at that time. Now, almost ten years later, these initial ideas have developed to the extent that a monograph summarizing the mathematical basis of the field seems appropriate. This book is oUf attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly be divided into two classes, the inverse obstacle problem and the inverse medium problem.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

316

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662028352

ISBN 13

9783662028353

The Legacy of the Inverse Scattering Transform in Applied Mathematics

Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, June 17-21, 2001, Mount Holyoke College, South Hadley, MA

By: J. L. Bona,Roy Choudhury,David Kaup

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Legacy of the Inverse Scattering Transform in Applied Mathematics

Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, June 17-21, 2001, Mount Holyoke College, South Hadley, MA

By: J. L. Bona,Roy Choudhury,David Kaup

Swift progress and new applications characterize the area of solitons and the inverse scattering transform. There are rapid developments in current nonlinear optical technology: Larger intensities are more available; pulse widths are smaller; relaxation times and damping rates are less significant. In keeping with these advancements, exactly integrable soliton equations, such as $3$-wave resonant interactions and second harmonic generation, are becoming more and more relevant inexperimental applications. Techniques are now being developed for using these interactions to frequency convert high intensity sources into frequency regimes where there are no lasers. Other experiments involve using these interactions to develop intense variable frequency sources, opening up even morepossibilities. This volume contains new developments and state-of-the-art research arising from the conference on the ``Legacy of the Inverse Scattering Transform'' held at Mount Holyoke College (South Hadley, MA). Unique to this volume is the opening section, ``Reviews''. This part of the book provides reviews of major research results in the inverse scattering transform (IST), on the application of IST to classical problems in differential geometry, on algebraic and analytic aspects ofsoliton-type equations, on a new method for studying boundary value problems for integrable partial differential equations (PDEs) in two dimensions, on chaos in PDEs, on advances in multi-soliton complexes, and on a unified approach to integrable systems via Painleve analysis. This conference provided aforum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

346

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821831615

ISBN 13

9780821831618

Linear and Quasilinear Parabolic Systems: Sobolev Space Theory

By: David Hoff

Write a review Read reviews Take a Quiz Solve Book Puzzle

Linear and Quasilinear Parabolic Systems: Sobolev Space Theory

By: David Hoff

This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

226

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470461617

ISBN 13

9781470461614

Elements of Differentiable Dynamics and Bifurcation Theory

By: David Ruelle

Write a review Read reviews Take a Quiz Solve Book Puzzle

Elements of Differentiable Dynamics and Bifurcation Theory

By: David Ruelle

Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

196

Publisher

Elsevier

Published Date

ISBN 10

1483272184

ISBN 13

9781483272184

The Linear Sampling Method in Inverse Electromagnetic Scattering

By: Fioralba Cakoni,David Colton,Peter Monk

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Linear Sampling Method in Inverse Electromagnetic Scattering

By: Fioralba Cakoni,David Colton,Peter Monk

A complete description of the linear sampling method for electromagnetic waves, important for those researching inverse electromagnetic scattering theory.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

146

Publisher

SIAM

Published Date

ISBN 10

0898719399

ISBN 13

9780898719390

Mathematical Models in Photographic Science

By: Avner Friedman,David Ross

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Models in Photographic Science

By: Avner Friedman,David Ross

This book presents mathematical models that arise in current photographic science. The book contains seventeen chapters, each dealing with one area of photographic science, and a final chapter containing exercises. Each chapter, except the two introductory chapters, begin with general background information at a level understandable by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as ordinary differential equations, partial differential equations, and stochastic processes. Next, some mathematical results are mentioned, often providing a partial solution to problems raised by the model. Finally, most chapters include open problems. The last chapter of the book contains "Modeling and Applied Mathematics" exercises based on the material presented in the earlier chapters. These exercises are intended primarily for graduate students and advanced undergraduates.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

188

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642557554

ISBN 13

9783642557552

Network Dynamics in Emerging Regions of Europe

By: David A. Dyker

Write a review Read reviews Take a Quiz Solve Book Puzzle

Network Dynamics in Emerging Regions of Europe

By: David A. Dyker

This important book focuses on post-Lisbon Agenda issues of alignment and misalignment on different dimensions of European society and the European economy, including industrial systems, R&D systems, educational systems and job markets. It also looks in particular at the peripheral regions of Europe ? the less developed parts of ?old? Europe, the parts of old Europe that are outside or only half-inside the EU, the new member-states of the EU, and Turkey as the most important EU candidate country. It takes as its methodological starting point the theory of network alignment as developed in SPRU, notably by Nick von Tunzelmann, and builds on this to produce an incisive assessment of the institutions, individual actors and markets that drive the knowledge economy. In all of this, it sets the European picture firmly in the context of global developments in investment, labour and intellectual property flows. Key authors include the editor himself, von Tunzelmann, Andrea Salavetz of the Hungarian Academy of Sciences and Matija Rojec of the University of Ljubljana, Slovenia.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

415

Publisher

World Scientific

Published Date

ISBN 10

1848163738

ISBN 13

9781848163737

Numerical Analysis of Spectral Methods

Theory and Applications

By: David Gottlieb,Steven A. Orszag

Write a review Read reviews Take a Quiz Solve Book Puzzle

Numerical Analysis of Spectral Methods

Theory and Applications

By: David Gottlieb,Steven A. Orszag

A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

167

Publisher

SIAM

Published Date

ISBN 10

0898710235

ISBN 13

9780898710236

Foundational Aspects of "non"standard Mathematics

By: David Ballard

Write a review Read reviews Take a Quiz Solve Book Puzzle

Foundational Aspects of "non"standard Mathematics

By: David Ballard

A philosophically provocative treatment for general mathematicians. Reformulates the model theory underlying "non" standard mathematics within point set topology and presents new proofs for the various versions. The radical aspect is the introduction of relativity into the mathematical environment. Annotation copyright by Book News, Inc., Portland, OR

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

146

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821802933

ISBN 13

9780821802939

Symplectic Quantum Field Theory

By: Ademir E. Santana,Faqir C. Khanna,Alesandro F. Santos,Ronni G. Gomes Amorim,Sérgio C. Ulhoa,J. David. M. Vianna

Write a review Read reviews Take a Quiz Solve Book Puzzle

Symplectic Quantum Field Theory

By: Ademir E. Santana,Faqir C. Khanna,Alesandro F. Santos,Ronni G. Gomes Amorim,Sérgio C. Ulhoa,J. David. M. Vianna

The present monograph brings to readers, as researchers and students of physics and mathematics, recent developments in symmetries, where the representation space is a symplectic manifold. This gives rise to the quantum field theory formulated in through the concept of phase space and associated with the Wigner function, a quasi-distribution of probability. This approach provides information about non-classicality of quantum systems, describes quantum chaos and is the starting point of the quantum kinetic theory. In this realm, abelian and non-abelian gauge symmetries are introduced with the concept of quasi-amplitude of probability. This leads, for instance, to Symplectic Schrödinger, Klein-Gordon and Dirac equations dealing with systems in condensed matter and particle physics. These achievements are depicted here, following a pedagogical model of presentation.

Average ratings

N/A