World Congress of Nonlinear Analysts '92 PDF Download
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Author: V. Lakshmikantham
Publisher: Walter de Gruyter
ISBN: 3110883236
Category : Mathematics
Languages : en
Pages : 4040
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Book Description
Author: V. Lakshmikantham
Publisher: Walter de Gruyter
ISBN: 3110883236
Category : Mathematics
Languages : en
Pages : 4040
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Book Description
Author: Vangipuram Lakshmikantham
Publisher:
ISBN: 9783111235691
Category :
Languages : en
Pages : 1016
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Book Description
Author: Jan Lang
Publisher: Springer
ISBN: 3642184294
Category : Mathematics
Languages : en
Pages : 232
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Book Description
The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.
Author: Mark Kot
Publisher: American Mathematical Society
ISBN: 1470414953
Category : Mathematics
Languages : en
Pages : 311
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Book Description
This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 484
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Book Description
Author: Ravi P. Agarwal
Publisher: CRC Press
ISBN: 0203025741
Category : Mathematics
Languages : en
Pages : 392
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Book Description
This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq
Author: Heinz H. Bauschke
Publisher: Springer Nature
ISBN: 3030259390
Category : Mathematics
Languages : en
Pages : 500
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Book Description
This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable methods. The theory of monotone operators is a central framework for understanding and analyzing splitting algorithms. Topics discussed in the volume were presented at the interdisciplinary workshop titled Splitting Algorithms, Modern Operator Theory, and Applications held in Oaxaca, Mexico in September, 2017. Dedicated to Jonathan M. Borwein, one of the most versatile mathematicians in contemporary history, this compilation brings theory together with applications in novel and insightful ways.
Author: Pierre Baldi
Publisher: MIT Press
ISBN: 9780262025065
Category : Computers
Languages : en
Pages : 492
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Book Description
A guide to machine learning approaches and their application to the analysis of biological data. An unprecedented wealth of data is being generated by genome sequencing projects and other experimental efforts to determine the structure and function of biological molecules. The demands and opportunities for interpreting these data are expanding rapidly. Bioinformatics is the development and application of computer methods for management, analysis, interpretation, and prediction, as well as for the design of experiments. Machine learning approaches (e.g., neural networks, hidden Markov models, and belief networks) are ideally suited for areas where there is a lot of data but little theory, which is the situation in molecular biology. The goal in machine learning is to extract useful information from a body of data by building good probabilistic models—and to automate the process as much as possible. In this book Pierre Baldi and Søren Brunak present the key machine learning approaches and apply them to the computational problems encountered in the analysis of biological data. The book is aimed both at biologists and biochemists who need to understand new data-driven algorithms and at those with a primary background in physics, mathematics, statistics, or computer science who need to know more about applications in molecular biology. This new second edition contains expanded coverage of probabilistic graphical models and of the applications of neural networks, as well as a new chapter on microarrays and gene expression. The entire text has been extensively revised.
Author: Augusto Visintin
Publisher: Springer Science & Business Media
ISBN: 3662115573
Category : Mathematics
Languages : en
Pages : 420
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Book Description
Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field.
Author: Richard Hollis Day
Publisher: MIT Press
ISBN: 9780262041720
Category : Business & Economics
Languages : en
Pages : 436
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Book Description
"The two volumes of Complex Economic Dynamics show that, far from being a passing trend in economic research, complex dynamics belongs at the heart of the subject. Although they can be read independently, the volumes follow a logical sequence. Volume 1 contained nontechnical introductions to the basics of economic change and to the mathematical and theoretical tools used to describe them. Volume 2, which is concerned with macroeconomic dynamics, looks at the economy as a whole. Topics include business cycles, economic growth, economic development, and dynamical economic science and policy. The book concludes with the author's reflections on the implications of complex dynamics for economic theory, quantitative research, and government policy."--Pub. desc.
