Functional
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History Of Functional Analysis
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Author : J. Dieudonne
language : en
Publisher: Elsevier
Release Date : 1983-01-01
History Of Functional Analysis written by J. Dieudonne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Mathematics categories.
History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the ""crypto-integral"" equations, including the Dirichlet principle and the Beer-Neumann method; the equation of vibrating membranes, including the contributions of Poincare and H.A. Schwarz's 1885 paper; and the idea of infinite dimension. Other chapters cover the crucial years and the definition of Hilbert space, including Fredholm's discovery and the contributions of Hilbert; duality and the definition of normed spaces, including the Hahn-Banach theorem and the method of the gliding hump and Baire category; spectral theory after 1900, including the theories and works of F. Riesz, Hilbert, von Neumann, Weyl, and Carleman; locally convex spaces and the theory of distributions; and applications of functional analysis to differential and partial differential equations. This book will be of interest to practitioners in the fields of mathematics and statistics.
Functional Analysis Calculus Of Variations And Optimal Control
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Author : Francis Clarke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-06
Functional Analysis Calculus Of Variations And Optimal Control written by Francis Clarke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-06 with Mathematics categories.
Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They also touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering. Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its advanced results in the calculus of variations and optimal control, its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth analysis) will be appreciated by researchers in these and related fields.
Plant Functional Diversity
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Author : Eric Garnier
language : en
Publisher: Oxford University Press
Release Date : 2015-12-10
Plant Functional Diversity written by Eric Garnier and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-10 with Science categories.
Biological diversity, the variety of living organisms on Earth, is traditionally viewed as the diversity of taxa, and species in particular. However, other facets of diversity also need to be considered for a comprehensive understanding of evolutionary and ecological processes. This novel book demonstrates the advantages of adopting a functional approach to diversity in order to improve our understanding of the functioning of ecological systems and their components. The focus is on plants, which are major components of these systems, and for which the functional approach has led to major scientific advances over the last 20 years. Plant Functional Diversity presents the rationale for a trait-based approach to functional diversity in the context of comparative plant ecology and agroecology. It demonstrates how this approach can be used to address a number of highly debated questions in plant ecology pertaining to plant responses to their environment, controls on plant community structure, ecosystem properties, and the services these deliver to human societies. This research level text will be of particular relevance and use to graduate students and professional researchers in plant ecology, agricultural sciences and conservation biology.
Functional Analysis
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Author : NAIR, M. THAMBAN
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2021-01-01
Functional Analysis written by NAIR, M. THAMBAN and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-01 with Mathematics categories.
Intended as an introductory text on Functional Analysis for the postgraduate students of Mathematics, this compact and well-organized book covers all the topics considered essential to the subject. In so doing, it provides a very good understanding of the subject to the reader. The book begins with a review of linear algebra, and then it goes on to give the basic notion of a norm on linear space (proving thereby most of the basic results), progresses gradually, dealing with operators, and proves some of the basic theorems of Functional Analysis. Besides, the book analyzes more advanced topics like dual space considerations, compact operators, and spectral theory of Banach and Hilbert space operators. The text is so organized that it strives, particularly in the last chapter, to apply and relate the basic theorems to problems which arise while solving operator equations. The present edition is a thoroughly revised version of its first edition, which also includes a section on Hahn-Banach extension theorem for operators and discussions on Lax-Milgram theorem. This student-friendly text, with its clear exposition of concepts, should prove to be a boon to the beginner aspiring to have an insight into Functional Analysis. KEY FEATURES • Plenty of examples have been worked out in detail, which not only illustrate a particular result, but also point towards its limitations so that subsequent stronger results follow. • Exercises, which are designed to aid understanding and to promote mastery of the subject, are interspersed throughout the text. TARGET AUDIENCE • M.Sc. Mathematics
Functional Performance In Older Adults
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Author : Bette R Bonder
language : en
Publisher: F.A. Davis
Release Date : 2017-12-04
Functional Performance In Older Adults written by Bette R Bonder and has been published by F.A. Davis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Medical categories.
Support the very best health, well-being, and quality of life for older adults! Here’s the ideal resource for rehabilitation professionals who are working with or preparing to work with older adults! You’ll find descriptions of the normal aging process, discussions of how health and social factors can impede your clients’ ability to participate in regular activities, and step-by-step guidance on how to develop strategies for maximizing their well-being.
Functional Connectivity An Issue Of Neuroimaging Clinics Of North America
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Author : Jay J. Pillai
language : en
Publisher: Elsevier Health Sciences
Release Date : 2017-10-11
Functional Connectivity An Issue Of Neuroimaging Clinics Of North America written by Jay J. Pillai and has been published by Elsevier Health Sciences this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-11 with Medical categories.
This issue of Neuroimaging Clinics of North America focuses on Functional Connectivity, and is edited by Dr. Jay Pillai. Articles will include: Applications of rs-fMRI to presurgical mapping: sensorimotor mapping; Dynamic functional connectivity methods; Machine learning applications to rs-fMRI analysis; Frequency domain analysis of rs-fMRI; Applications of rs-fMRI to epilepsy; Data-driven analysis methods for rs-fMRI; Applications of rs-fMRI to presurgical mapping: language mapping; Limitations of rs-fMRI in the setting of focal brain lesions; Applications of rs-fMRI to neuropsychiatric disease; Applications of rs-fMRI to Traumatic Brain Injury; Applications of rs-fMRI to neurodegenerative disease; Graph theoretic analysis of rs-fMRI; and more!
Functional Categories In Igbo
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Author : Obiamalu, Greg Orji
language : en
Publisher: M & J Grand Orbit Communications
Release Date : 2016-02-22
Functional Categories In Igbo written by Obiamalu, Greg Orji and has been published by M & J Grand Orbit Communications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-22 with Foreign Language Study categories.
This study discusses functional categories in Igbo within Noam Chomsky’s Minimalist Program (MP). Chapter 1 includes the introduction of the concept of functional categories and why they take central place in the study of syntax, as well as an overview of the Minimalist Program (MP). Chapter 2 discusses some historical antecedents to MP. It further discusses the economy principles of the MP as well as the place of functional categories within the overall conceptions of the MP model. Chapter 3 discusses five functional categories: Agreement, Tense, Aspect, Negation and Determiner. In chapter 4, the Igbo functional categories within the verbal domain: Tense, Aspect and Negation are discussed. Chapter 5 is an application of the theoretical issues raised in Chapter 2 to the analysis of the functional categories discussed in Chapter 3. One interesting issue discussed in Chapter 5 is the role of tone in realising some of the functional categories in Igbo. Chapter 6 discusses the functional categories within the nominal domain with much emphasis on the determiner. A revised version of the author’s doctoral thesis, some of the conclusions are revolutionary, relevant to debates in the linguistic theory and in Igbo studies in particular, as well as serving as an introduction to MP.
Functional Thinking For Value Creation
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Author : Jürgen Hesselbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-18
Functional Thinking For Value Creation written by Jürgen Hesselbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-18 with Technology & Engineering categories.
After the IPS2 conferences in Cranfield and Linköping in 2009 and 2010 the 3rd CIRP International Conference on Industrial Product Service Systems (IPS2) 2011 takes place in Braunschweig, Germany. IPS2 itself is defined as “an integrated industrial product and service offering that delivers value in use”. The customers expect comprehensive solutions, which are adapted to their individual needs. IPS2 offers the possibility to stand out from competition and for long-term customer loyalty. Particularly in times of economic crisis it becomes apparent which producing companies understand to satisfy the needs and requirements of their customers. Especially in this relatively new domain IPS2 it will be important to keep track of the whole context and to seek cooperation with other research fields and disciplines. The 3rd CIRP International Conference on Industrial Product Service Systems (IPS2) 2011 serves as a platform for such collaborations and the discussion of new scientific ideas.
Trends In Functional Programming Volume 6
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Author : Marko Van Eekelen
language : en
Publisher: Intellect Books
Release Date : 2005-06-01
Trends In Functional Programming Volume 6 written by Marko Van Eekelen and has been published by Intellect Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-01 with Computers categories.
This is Volume 7 of Trends in Functional Programming (TFP). It contains a refereed selection of the papers that were presented at TFP 2006: the Seventh Symposium on Trends in Functional Programming. which took place in Nottingham, 19-21 April, 2006. TFP is an international forum for researchers from all functional programming communities spanning the entire width of topics in the field. Its goal is to provide a broad view of current and future trends in functional programming in a lively and friendly setting, thus promoting new research directions related to the field of functional programming and the relationship between functional programming and other fields of computer science. True to the spirit of TFP, the selection of papers in this volume covers a wide range of topics, including dependently typed programming, generic programming, purely functional data structures, function synthesis, declarative debugging, implementation of functional programming languages, and memory management. A particular emerging trend is that of dependently typed programming, reflected by a number of papers in the present selection and by the co-location of TFP and Types 2006.
Functional Cross Training
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Author : Brett Stewart
language : en
Publisher: Simon and Schuster
Release Date : 2014-03-11
Functional Cross Training written by Brett Stewart and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-11 with Health & Fitness categories.
UPGRADE YOUR WORKOUT Combining plyometrics, intense circuit training, weight lifting and bodyweight exercises, this book’s revolutionary programs guarantee to help you achieve a fit, toned body and peak overall fitness. The step-by-step workouts produce astounding results: •Dramatically increased power •Incredible endurance •Packed-on lean muscle •Reduced body fat Whether your goal is to drop extra weight, shave minutes off a race time or finally get ripped abs, this book is the workout partner that will push you to your full potential.