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This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ''hybrid'' method for difficult real-l
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Functional integration successfully entered physics as path integrals in the 1942 Ph.D. dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this book, a fresh approach to functional integration. The book is self-contained: mathematical ideas are introduced, developed, generalised and applied. In the authors' hands, functional integration is shown to be a robust, user-friendly and multi-purpose tool that can be applied to a great variety of situations, for example: systems of indistinguishable particles; Aharonov-Bohm systems; supersymmetry; non-gaussian integrals. Problems in quantum field theory are also considered. In the final part the authors outline topics that can be profitably pursued using material already presented.
Functional analysis --- Integration, Functional. --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional integration --- Integrals, Generalized
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Ordinary Differential Equations: Introduction to Nonlinear Analysis.
Nonlinear functional analysis --- Analyse fonctionnelle non linéaire --- Nonlinear functional analysis. --- Analyse fonctionnelle non linéaire --- Ordinary differential equations --- Differential equations --- Differential equations. --- Equations différentielles --- Functional analysis --- Nonlinear theories --- 517.91 Differential equations
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Topological vector spaces, distributions and kernels
Functional analysis. --- Linear topological spaces. --- Topological linear spaces --- Topological vector spaces --- Vector topology --- Topology --- Vector spaces --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional analysis
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Spectral theory and complex analysis
Functional analysis. --- Spectral theory (Mathematics) --- Analytic functions. --- Functional analysis --- Analytic functions --- Analyse fonctionnelle --- Spectre (Mathématiques) --- Fonctions analytiques --- ELSEVIER-B EPUB-LIV-FT
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This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some chosen parts of functional analysis that can help understand ideas from probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook or for self-study.
Functional analysis --- Probabilities --- Stochastic processes --- Analyse fonctionnelle --- Probabilités --- Processus stochastiques --- Functional analysis. --- Probabilities. --- Stochastic processes. --- Random processes --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations
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Comets have fascinated and awed humankind since ancient times. Of the thousands of comets recorded throughout history, those deemed to have been the most spectacular have been described in the accounts of eyewitnesses and often recorded in official documents. This book introduces you to the greatest of the greats, starting with the comet in 372 B. C. called "Aristotle’s Comet" and ending with the spectacular appearance of McNaught’s Comet in 2007. There is an introductory chapter explaining what comets are and how they are classified, and correcting a few popular misconceptions. Later in the book you will read about the different returns of Halley’s Comet and the Kreutz sungrazing group, often called the kamikaze comets. There is even a chapter on comets that were visible in broad daylight. This book is unique. There are a few books on comets that make passing reference to some of the more famous or spectacular objects of the past, and a few catalogs with long lists of comets. But little detailed and descriptive information is contained in either of these sources. This is a fascinating account, not only for astronomers at every level but also for readers of popular science. In an engaging way it pulls together a vast amount of information and offers rich anecdotal material that will entertain as well as inform you.
Comets. --- Comets --- Astrophysics --- Mathematical Theory --- Mathematics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Solar system. --- Nuclear spaces (Functional analysis) --- Schwartz spaces. --- Tensor products. --- Nuclear spaces (Functional analysis). --- Physics. --- Observations, Astronomical. --- Astronomy --- Astronomy. --- Astronomy, Observations and Techniques. --- Popular Science in Astronomy. --- Observations. --- 517.9 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 512 --- 512 Algebra --- Algebra --- Analytical spaces --- Milky Way --- Near-Earth objects --- Operator algebras --- Congresses. --- Schwartz, Espaces de. --- Produits tensoriels. --- Astronomy—Observations. --- Astronomical observations --- Observations, Astronomical --- Espaces nucléaires (analyse fonctionnelle) --- Algèbres topologiques --- Topological algebras --- Algèbres topologiques. --- Espaces nucléaires (analyse fonctionnelle)
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This collection carries the functionalist Columbia School of linguistics forward with contributions on linguistic theory, semiotics, phonology, grammar, lexicon, and anthropology. Columbia School linguistics views language as a symbolic tool whose structure is shaped both by its communicative function and by the characteristics of its users, and considers contextual, pragmatic, physical, and psychological factors in its analyses. This volume builds upon three previous Columbia School anthologies and further explores issues raised in them, including fundamental theoretical and analytical questi.
Linguistics --- Functionalism (linguistics). --- Functionele linguïstiek. --- Funktionalismus (linguistik). --- Functionalism (Linguistics) --- Functional analysis (Linguistics) --- Functional grammar --- Functional linguistics --- Functional-structural analysis (Linguistics) --- Grammar, Functional --- Grammatical functions --- Structural linguistics --- Philosophy --- Language.
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Introduction When one takes a functional approach to the study of natural languages, the ultimate questions one is interested in can be formulated as: How does the natural language user (NLU) work? How do speakers and addressees succeed ...
Functionalism (Linguistics). --- Functionalism (Linguistics) --- Grammar --- Functional analysis (Linguistics) --- Functional grammar --- Functional linguistics --- Functional-structural analysis (Linguistics) --- Grammar, Functional --- Grammatical functions --- Linguistics --- Structural linguistics --- English language --- Syntax. --- Germanic languages
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Functional equations. --- Associative law (Mathematics) --- Mathematical analysis. --- Functional equations --- Mathematical analysis --- Mathematics --- Equations, Functional --- Functional analysis --- 517.1 Mathematical analysis --- Study and teaching --- Harmonic analysis. Fourier analysis
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