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This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature. Major constructions or operations in analysis are often characterized by some elementary properties, relations or equations which they satisfy. The authors present recent results on the problem to what extent the derivative is characterized by equations such as the Leibniz rule or the Chain rule operator equation in Ck-spaces. By localization, these operator equations turn into specific functional equations which the authors then solve. The second derivative, Sturm-Liouville operators and the Laplacian motivate the study of certain "second-order" operator equations. Additionally, the authors determine the general solution of these operator equations under weak assumptions of non-degeneration. In their approach, operators are not required to be linear, and the authors also try to avoid continuity conditions. The Leibniz rule, the Chain rule and its extensions turn out to be stable under perturbations and relaxations of assumptions on the form of the operators. The results yield an algebraic understanding of first- and second-order differential operators. Because the authors have chosen to characterize the derivative by algebraic relations, the rich operator-type structure behind the fundamental notion of the derivative and its relatives in analysis is discovered and explored.The book does not require any specific knowledge of functional equations. All needed results are presented and proven and the book is addressed to a general mathematical audience.

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55,59 € *

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A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge.

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129,00 CHF *

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Learn the essential analytic and quantitative techniques for solving partial differential equations The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens and extends readers' knowledge of the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of PDEs. The book begins with an introduction to the general terminology and topics related to PDEs, including the notion of initial and boundary value problems and also various solution techniques. Subsequent chapters explore: * The solution process for Sturm-Liouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEs * The concept of completeness, which introduces readers to Hilbert spaces * The application of Laplace transforms and Duhamel's theorem to solve time-dependent boundary conditions * The finite element method, using finite dimensional subspaces * The finite analytic method with applications of the Fourier series methodology to linear version of non-linear PDEs Throughout the book, the author incorporates his own class-tested material, ensuring an accessible and easy-to-follow presentation that helps readers connect presented objectives with relevant applications to their own work. Maple(TM) is used throughout to solve many exercises, and a related Web site features Maple worksheets for readers to use when working with the book's one- and multi-dimensional problems. Fourier Series and Numerical Methods for Partial Differential Equations is an ideal book for courses on applied mathematics and partial differential equations at the upper-undergraduate and graduate levels. It is also a reliable resource for researchers and practitioners in the fields of mathematics, science, and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.

Anbieter: Orell Fuessli CH

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55,90 CHF *

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Wolfgang Spohn is an eminent figure in contemporary analytic philosophy. Though best known for his seminal work in formal epistemology, in particular for the inception and development of ranking theory, his philosophical interests are much broader, covering virtually all parts of theoretical philosophy. This collection of essays from colleagues, friends and former students reflects the wide variety of Spohn's philosophical interests. It contains articles on epistemology (e.g., the nature of knowledge and belief, ranking theory, formal theories of belief and its revision), theory of science (e.g., causality, induction, laws of nature), philosophy of language (e.g., theories of meaning, the semantics of counterfactuals) and philosophy of mind (e.g., intentionality, intuitions, free will) as well as on logic, ontology and game theory. The authors: Ansgar Beckermann, Wolfgang Benkewitz, Bernd Buldt, Ralf Busse, Christoph Fehige, Wolfgang Freitag, Gordian Haas, Volker Halbach, Franz Huber, Andreas Kemmerling, Manfred Kupffer, Hannes Leitgeb, Godehard Link, Arthur Merin, Thomas Müller, Julian Nida-Rümelin, Martine Nida-Rümelin, Hans Rott, Holger Sturm, Thomas Ede Zimmermann and Alexandra Zinke.

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160,00 CHF *

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INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS With Emphasis on Wave Propagation and Diffusion This is the ideal text for students and professionals who have somefamiliarity with partial differential equations, and who now wishto consolidate and expand their knowledge. Unlike most other textson this topic, it interweaves prior knowledge of mathematics andphysics, especially heat conduction and wave motion, into apresentation that demonstrates their interdependence. The result isa superb teaching text that reinforces the reader's understandingof both mathematics and physics. Rather than presenting themathematics in isolation and out of context, problems in this textare framed to show how partial differential equations can be usedto obtain specific information about the physical system beinganalyzed. Designed for upper-level students, professionals and researchers inengineering, applied mathematics, physics, and optics, ProfessorLamb's text is lucid in its presentation and comprehensive in itscoverage of all the important topic areas, including: * One-Dimensional Problems * The Laplace Transform Method * Two and Three Dimensions * Green's Functions * Spherical Geometry * Fourier Transform Methods * Perturbation Methods * Generalizations and First Order Equations In addition, this text includes a supplementary chapter of selectedtopics and handy appendices that review Fourier Series, LaplaceTransform, Sturm-Liouville Equations, Bessel Functions, andLegendre Polynomials.

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1,50 CHF *

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Faust is Goethe's magnum opus and considered by many to be one of the greatest works of German literature. The story takes place in multiple settings, the first of which is heaven. Mephistopheles makes a bet with God - he says that he can lure God's favorite human being - Faust, who is striving to learn everything that can be known, away from righteous pursuits. Faust makes an arrangement with the devil - the devil will do everything that Faust wants while he is here on Earth, and in exchange Faust will serve the devil in Hell. In Faust, Goethe focuses on social phenomena such as psychology, history and politics, in addition to mystical and philosophical topics. Faust does not seek power through knowledge, but access to transcendent knowledge incomprehensible to the rational being. Here Goethe's mysticism asserts itself clearly. Johann Wolfgang von Goethe (1749-1832) was a German writer and statesman, best known for his tragic play, Faust. His body of work includes epic and lyric poetry written in a variety of meters and styles, prose and verse dramas, memoirs, literary and aesthetic criticism, novels, numerous literary and scientific fragments and many more. A literary celebrity by the age of 25, Goethe was ennobled by the Duke of Saxe-Weimar, Karl August, following the success of his first novel, The Sorrows of Young Werther. He was also an early participant in the Sturm und Drang literary movement.

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100,00 CHF *

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The importance of partial differential equations (PDEs) in modelingphenomena in engineering as well as in the physical, natural, andsocial sciences is well known by students and practitioners inthese fields. Striking a balance between theory and applications,Fourier Series and Numerical Methods for Partial DifferentialEquations presents an introduction to the analytical andnumerical methods that are essential for working with partialdifferential equations. Combining methodologies from calculus,introductory linear algebra, and ordinary differential equations(ODEs), the book strengthens and extends readers' knowledge of thepower of linear spaces and linear transformations for purposes ofunderstanding and solving a wide range of PDEs. The book begins with an introduction to the general terminologyand topics related to PDEs, including the notion of initial andboundary value problems and also various solution techniques.Subsequent chapters explore: * The solution process for Sturm-Liouville boundary value ODEproblems and a Fourier series representation of the solution ofinitial boundary value problems in PDEs * The concept of completeness, which introduces readers toHilbert spaces * The application of Laplace transforms and Duhamel's theorem tosolve time-dependent boundary conditions * The finite element method, using finite dimensionalsubspaces * The finite analytic method with applications of theFourier series methodology to linear version of non-linearPDEs Throughout the book, the author incorporates his ownclass-tested material, ensuring an accessible and easy-to-followpresentation that helps readers connect presented objectives withrelevant applications to their own work. Maple is used throughoutto solve many exercises, and a related Web site features Mapleworksheets for readers to use when working with the book's one- andmulti-dimensional problems. Fourier Series and Numerical Methods for Partial DifferentialEquations is an ideal book for courses on applied mathematicsand partial differential equations at the upper-undergraduate andgraduate levels. It is also a reliable resource for researchers andpractitioners in the fields of mathematics, science, andengineering who work with mathematical modeling of physicalphenomena, including diffusion and wave aspects.

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This carefully crafted ebook: 'FAUST - Illustrated & Translated into English in the Original Meters (Literary Classics Series)' is formatted for your eReader with a functional and detailed table of contents. Faust is Goethe's magnum opus and considered by many to be one of the greatest works of German literature. The story takes place in multiple settings, the first of which is heaven. Mephistopheles makes a bet with God - he says that he can lure God's favorite human being - Faust, who is striving to learn everything that can be known, away from righteous pursuits. Faust makes an arrangement with the devil - the devil will do everything that Faust wants while he is here on Earth, and in exchange Faust will serve the devil in Hell. In Faust, Goethe focuses on social phenomena such as psychology, history and politics, in addition to mystical and philosophical topics. Faust does not seek power through knowledge, but access to transcendent knowledge incomprehensible to the rational being. Here Goethe's mysticism asserts itself clearly. Johann Wolfgang von Goethe (1749-1832) was a German writer and statesman, best known for his tragic play, Faust. His body of work includes epic and lyric poetry written in a variety of meters and styles, prose and verse dramas, memoirs, literary and aesthetic criticism, novels, numerous literary and scientific fragments and many more. A literary celebrity by the age of 25, Goethe was ennobled by the Duke of Saxe-Weimar, Karl August, following the success of his first novel, The Sorrows of Young Werther. He was also an early participant in the Sturm und Drang literary movement.

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43,20 € *

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Anbieter: Thalia AT

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