What is the title of this book intended to signify, what connotations is the adjective “Postmodern” meant to carry? A potential reader will surely pose this question. To answe… Mehr…
What is the title of this book intended to signify, what connotations is the adjective “Postmodern” meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the - proach to analysis presented here from what has by its protagonists been called “Modern Analysis”. “Modern Analysis” as represented in the works of the Bourbaki group or in the textbooks by Jean Dieudonń e is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degenerate into a collection of rather unconnected tricks to solve special problems, this de?nitely represented a healthy achievement. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathem- ical theory can acquire. However, once this level has been reached, it can be useful to open one’s eyes again to the inspiration coming from concrete external problems. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer Berlin Heidelberg Core >1 >T<
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[EAN: 9783540258308], Neubuch, [PU: Springer Berlin Heidelberg], ANALYSIS CALCULUS BANACHANDHILBERTSPACE CONTINUOUSANDDIFFERENTIABLEFUNCTIONS LEBESGUEINTEGRATIONTHEORY SOBOLEVSPACE SOBOLOVSPACES CALCULUSOFVARIATIONS DIFFERENTIALEQUATIONS IMPLICITFUNCTIONTHEOREM PARTIALDIFFERENTIALEQUATIONS MATHEMATIK, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A very streamlined text on mathematical analysis at the advanced calculus levelParticularly adapted to the needs of those going on to applications in physicsWhat is the title of this book intended to signify, what connotations is the adj., Books<
Paperback / softback. New. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and … Mehr…
Paperback / softback. New. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while., 6<
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(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
What is the title of this book intended to signify, what connotations is the adjective “Postmodern” meant to carry? A potential reader will surely pose this question. To answe… Mehr…
What is the title of this book intended to signify, what connotations is the adjective “Postmodern” meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the - proach to analysis presented here from what has by its protagonists been called “Modern Analysis”. “Modern Analysis” as represented in the works of the Bourbaki group or in the textbooks by Jean Dieudonń e is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degenerate into a collection of rather unconnected tricks to solve special problems, this de?nitely represented a healthy achievement. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathem- ical theory can acquire. However, once this level has been reached, it can be useful to open one’s eyes again to the inspiration coming from concrete external problems. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer Berlin Heidelberg Core >1 >T<
[EAN: 9783540258308], Neubuch, [PU: Springer Berlin Heidelberg], ANALYSIS CALCULUS BANACHANDHILBERTSPACE CONTINUOUSANDDIFFERENTIABLEFUNCTIONS LEBESGUEINTEGRATIONTHEORY SOBOLEVSPACE SOBOLOVSPACES CALCULUSOFVARIATIONS DIFFERENTIALEQUATIONS IMPLICITFUNCTIONTHEOREM PARTIALDIFFERENTIALEQUATIONS MATHEMATIK, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A very streamlined text on mathematical analysis at the advanced calculus levelParticularly adapted to the needs of those going on to applications in physicsWhat is the title of this book intended to signify, what connotations is the adj., Books<
Paperback / softback. New. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and … Mehr…
Paperback / softback. New. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while., 6<
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This is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variations and partial differential equations. The book does not strive for abstraction for its own sake, but tries rather to impart a working knowledge of the key methods of contemporary analysis, in particular those that are also relevant for application in physics. It provides a streamlined and quick introduction to the fundamental concepts of Banach space and Lebesgue integration theory and the basic notions of the calculus of variations, including Sobolev space theory. The third edition contains new material on further important tool in analysis, namely cover theorems. Useful references for such results and further properties of various classes of weakly differential functions are added. And finally, misprints and minor inconsistencies have been corrected.
Detailangaben zum Buch - Postmodern Analysis Jïrgen Jost Author
EAN (ISBN-13): 9783540258308 ISBN (ISBN-10): 3540258302 Gebundene Ausgabe Taschenbuch Erscheinungsjahr: 2005 Herausgeber: Springer Berlin Heidelberg Core >1 >T 371 Seiten Gewicht: 0,591 kg Sprache: eng/Englisch
Buch in der Datenbank seit 2007-06-04T17:54:31+02:00 (Berlin) Detailseite zuletzt geändert am 2024-04-05T04:29:11+02:00 (Berlin) ISBN/EAN: 9783540258308
ISBN - alternative Schreibweisen: 3-540-25830-2, 978-3-540-25830-8 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: jost jürgen, jost jurgen, bourbaki Titel des Buches: postmodern analysis, 2005 spring summer collections
Daten vom Verlag:
Autor/in: Jürgen Jost Titel: Universitext; Postmodern Analysis Verlag: Springer; Springer Berlin 375 Seiten Erscheinungsjahr: 2005-08-01 Berlin; Heidelberg; DE Übersetzer/in: H. Azad Sprache: Englisch 74,89 € (DE) 76,99 € (AT) 83,00 CHF (CH) Available XV, 375 p.
BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Mathematik; Banach and Hilbert space; Continuous and differentiable functions; Lebesgue integration theory; Sobolev space; Sobolov spaces; analysis; calculus of variations; differential equations; implicit function theorem; partial differential equations; Analysis; Differential Equations; Differentialrechnung und -gleichungen; BC; EA
Calculus for Functions of One Variable.- Prerequisites.- Limits and Continuity of Functions.- Differentiability.- Characteristic Properties of Differentiable Functions. Differential Equations.- The Banach Fixed Point Theorem. The Concept of Banach Space.- Uniform Convergence. Interchangeability of Limiting Processes. Examples of Banach Spaces. The Theorem of Arzela-Ascoli.- Integrals and Ordinary Differential Equations.- Topological Concepts.- Metric Spaces: Continuity, Topological Notions, Compact Sets.- Calculus in Euclidean and Banach Spaces.- Differentiation in Banach Spaces.- Differential Calculus in $$\\mathbb{R}$$ d.- The Implicit Function Theorem. Applications.- Curves in $$\\mathbb{R}$$ d. Systems of ODEs.- The Lebesgue Integral.- Preparations. Semicontinuous Functions.- The Lebesgue Integral for Semicontinuous Functions. The Volume of Compact Sets.- Lebesgue Integrable Functions and Sets.- Null Functions and Null Sets. The Theorem of Fubini.- The Convergence Theorems of Lebesgue Integration Theory.- Measurable Functions and Sets. Jensen’s Inequality. The Theorem of Egorov.- The Transformation Formula.- and Sobolev Spaces.- The Lp-Spaces.- Integration by Parts. Weak Derivatives. Sobolev Spaces.- to the Calculus of Variations and Elliptic Partial Differential Equations.- Hilbert Spaces. Weak Convergence.- Variational Principles and Partial Differential Equations.- Regularity of Weak Solutions.- The Maximum Principle.- The Eigenvalue Problem for the Laplace Operator. A very streamlined text on mathematical analysis at the "advanced calculus" level Particularly adapted to the needs of those going on to applications in physics Includes supplementary material: sn.pub/extras
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