Macromolecular Symposia, No. 201: Mission and Challenge of Polymer Science and Technology (Macromolecular Symposia)

Book Description

Polymer chemistry and physics are facing a new era from simple polymers to more sophisticated macromolecular systems. The IUPA Polymer Conference on the Mission and Challenge of Polymer Science and Technology (IUPAC PC2002) was held in December 2-5, 2002 in Kyoto as the first strategic symposium of IUPAC Macromolecular Division (MMD). The program covered all areas of macromolecular chemistry and was arranged into 6 sessions from a strategic viewpoint:

Polymer Concepts in Chemistry, Physics, and Biology
Frontiers of Polymer Science
Advanced and Emerging Polymers Technologies
State of the Art in "Bio-Polymers"
Polymers and the Environment
Commodity Polymers and the World Economy.

This volume presents most of the invited lectures from the conference and represents an excellent perspective of the Mission and Challenges of Polymer Science and Technology.

Book Description

The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems.

Key topics and features:

* Presents foundational introduction to shape optimization theory

* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains

* Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE

* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions

* Studies optimization problems for obstacles and eigenvalues of elliptic operators

* Poses several open problems for further research

* Substantial bibliography and index

Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.

Variational Methods in Optimization (Dover Books on Mathematics)

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Excellent clearly worked out examples!
Lovely reading!

Variational Methods in Optimization (Dover Books on Mathematics)
Donald R. Smith
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 0486404552

Book Description

Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. Clear, well-illustrated treatment addresses optimization problems in a diverse array of fields. Only basic knowledge of calculus required. 1974 edition.

Customer Reviews:

Excellent clearly worked out examples!.......2001-09-06

The technique of Euler-Lagrange multipliers is clearly illuminated with numerous detailed and worked out examples. The proofs can be a little sketchy in some parts, but the emphasis is on developing the idea behind the method, not necessarily formalism. The best part of this text is the highly detailed examples that sometimes occupy four pages.

Lovely reading!.......2000-01-26

It's well written, self-contained, and hardly any background is needed on the subject to approciate the art of calculus of variation. Many illustrative examples are worked out in clear details. A great book to read to get into the subject -- and check out the price too....

Nonlinear Functional Analysis and Its Applications: Part 3: Variational Methods and Optimization

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Nonlinear Functional Analysis and Its Applications: Part 3: Variational Methods and Optimization
E. Zeidler
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 038790915X

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Optimization by variational methods
Morton M Denn
Manufacturer: R. E. Krieger Pub. Co
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Binding: Unknown Binding

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Relaxation in Optimization Theory and Variational Calculus (De Gruyter Series in Nonlinear Analysis and Applications, 4)

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Relaxation in Optimization Theory and Variational Calculus (De Gruyter Series in Nonlinear Analysis and Applications, 4)
Tomas Roubicek
Manufacturer: Walter de Gruyter
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Stable Methods for Ill-Posed Variational Problems: Prox-Regularization of Elliptic Variational Inequalities and Semi-Infinite Problems (Mathematical)

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Stable Methods for Ill-Posed Variational Problems: Prox-Regularization of Elliptic Variational Inequalities and Semi-Infinite Problems (Mathematical)
Alexander Kaplan , and Rainer Tichatschke
Manufacturer: Vch Pub
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Binding: Hardcover

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Variational and Hemivariational Inequalities - Theory, Methods and Applications: Volume I: Unilateral Analysis and Unilateral Mechanics (Nonconvex Optimization and Its Applications)

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Variational and Hemivariational Inequalities - Theory, Methods and Applications: Volume I: Unilateral Analysis and Unilateral Mechanics (Nonconvex Optimization and Its Applications)
D. Goeleven , D. Motreanu , Y. Dumont , and M. Rochdi
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 1402075375

Book Description

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.

Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems (Nonconvex Optimization and Its Applications)

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Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems (Nonconvex Optimization and Its Applications)
D. Motreanu , and V. Radulescu
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 140201385X

Book Description

The book provides a comprehensive exposition of modern topics in nonlinear analysis with applications to various boundary value problems with discontinuous nonlinearities and nonsmooth constraints. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. In addition to the existence of solutions, a major part of the book is devoted to the study of different qualitative properties such as multiplicity, location, extremality, and stability. The treatment relies on variational methods, monotonicity principles, topological arguments and optimization techniques. The book is based on the authors' original results obtained in the last decade. A great deal of the material is published for the first time in this book and is organized in a unifying way. The book is self-contained. The abstract results are illustrated through various examples and applications.

Variational Methods for Structural Optimization (Applied Mathematical Sciences Vol. 140)

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Variational Methods for Structural Optimization (Applied Mathematical Sciences Vol. 140)
Andrej Cherkaev
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 0387984623

Book Description

In recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathematical foundations of structural optimization. The challenge of this book is to bridge a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in a sufficiently simple form to make them available for practical use and to allow their critical appraisal for improving and adapting these results to specific models. Special attention is to pay to the description of optimal structures of composites; to deal with this problem, novel mathematical methods of nonconvex calculus of variation are developed. The exposition is accompanied by examples.

Variational Methods in Partially Ordered Spaces (CMS Books in Mathematics)

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Variational Methods in Partially Ordered Spaces (CMS Books in Mathematics)
Alfred Göpfert , Hassan Riahi , Christiane Tammer , and Constantin Zalinescu
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 0387004521

Book Description

In mathematical modeling of processes one often encounters optimization problems involving more than one objective function, so that Multiobjective Optimization (or Vector Optimization) has received new impetus. The growing interest in multiobjective problems, both from the theoretical point of view and as it concerns applications to real problems, asks for a general scheme which embraces several existing developments and stimulates new ones. In this book the authors provide the newest results and applications of this quickly growing field. This book will be of interest to graduate students in mathematics, economics, and engineering, as well as researchers in pure and applied mathematics, economics, engineering, geography, and town planning. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book.

Customer Reviews:

Still the best edition for the general reader.......2002-07-12

A number of other English translations, in prose or verse, have emerged since this book was first published in 1968. While most have their good points, this one stands out for its clarity, unforced feel, and the sheer beauty of its poetry. (It doesn't hurt that it is reasonably priced!) In this Lucretius, the poet and philosopher are inextricably mixed and cannot be put asunder.

The naturalistic view of a beautiful but cold, and unfeeling universe is limned brilliantly and passionately. The gods appear, but only as a literary conceit, or as a faint concession to the possibility of higher realms of being. We are left "all alone", but not "all afraid". The light of understanding banishes dark terrors: Nothing; no horrors await us in death. Our lives here remain what we make them. Far from leading to nihilism and despair, this knowledge renews our sense of purpose. Play your part well; there is no second act.

I can only hint at the excitement that awaits the interested reader within these pages. If anything written here has failed to convey the pleasure of this book, or has proven off-putting, then I apologize. "Tole et lege!"

Among the very best of ancient literature.......2000-03-13

I can only second the opinions presented here. This is great poetry and great philosophy. Lucretius is truly amazing in his presentation of science, much of it the foundations of today's; he was the first and remains the best of popular science writers. The translation is dazzling. For once we are not reading to get an approximation of the original author's intentions, but for sheer excitement. This book should restore faith in the vital interplay of ancient and modern culture and dispel the myth of dualism between art and science.

Wonderful.......1998-11-03

I ordered this with some trepidation: Lucretius was difficult enough to understand in prose, never mind poetry. It turns out that this translation is the CLEAREST and MOST READABLE Lucretius I have ever seen. Lucretius is an author I read regularly. He has accomnpanied me through my life for years. This is now the translation which I will turn to. This is a book to study, memorize sections from, enjoy, and be dazzled by. I want to thank the author for his evident love for the material to turn out such an excellent translation.

The ONLY Lucretius translation.......1998-02-19

Lovers of quality literature should be grateful that Rolfe Humphries, finest Latin-English translator to ever live, employed his formidable talents in a translation of the monumental De Rerum Natura. The poem itself is an undisputed masterpiece, a philosophical tour de force that has influenced writers across 2000 years of time, from Vergil to Robert Frost. Yet Lucretius is most often translated into prose, causing De Rerum Natura to be viewed as more philosophy than poetry. Humphries' fine translation not only breathes fresh life into a great work, but also reminds us that, though he was a didactic Epicurean philosopher, Titus Lucretius Carus was, first and foremost, a poet. Apart from reading the Latin, there is no better way to experience De Rerum Natura than through Humphries' rendering.

Humphries' Lucretius.......1997-12-28

This is a wonderful book. Rolfe Humphries did a magnificent job of making this philosophical poet relevant to us in the 20th. The translation is eminently readable and at times reaches heights of beauty that does the great Roman Epicurean justice. I discovered Humphries' Lucretius 20 years ago. I've found no other translation to be as accessible or as beautiful. It's been a consolation to me often in the last two decades and I'm sure it will continue to be in the future. Lucretius has much to say to us and we owe Rolfe Humphries a lot for giving him to us in a translation that manages to be both profound and charming at the same time.

LUCRETIUS, THE WAY THINGS ARE: THE DE RERUM NATURA OF TITUS LUCRETIUS CARUS

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LUCRETIUS, THE WAY THINGS ARE: THE DE RERUM NATURA OF TITUS LUCRETIUS CARUS

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Binding: Hardcover
ASIN: B000O7AS60

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Lucretius: The Way Things are: The De Rerum Natura of Titus Lucretius Carus
Lucretius. Translated by Rolfe Humphries.
Manufacturer: Indiana Universty Press
ProductGroup: Book
Binding: Hardcover
ASIN: B000R9EK2I

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