Harmonic Analysis (PMS-43)

Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43)

Author: Elias M. Stein

Publisher: Princeton University Press

ISBN: 140088392X

Category: Mathematics

Page: 712

View: 1108

This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.

Harmonic Analysis

Real-variable Methods, Orthogonality, and Oscillatory Integrals

Author: Elias M. Stein,Timothy S. Murphy

Publisher: Princeton University Press

ISBN: 9780691032160

Category: Mathematics

Page: 695

View: 9131

This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.

Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)

Author: Kari Astala,Tadeusz Iwaniec,Gaven Martin

Publisher: Princeton University Press

ISBN: 9780691137773

Category: Mathematics

Page: 677

View: 9525

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.

Topics in Ergodic Theory (PMS-44)

Author: Iakov Grigorevich Sinai

Publisher: Princeton University Press

ISBN: 1400887259

Category: Mathematics

Page: 226

View: 2926

This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Singular Integrals and Differentiability Properties of Functions (PMS-30)

Author: Elias M. Stein

Publisher: Princeton University Press

ISBN: 1400883881

Category: Mathematics

Page: 304

View: 4174

Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.

Reelle und Komplexe Analysis

Author: Walter Rudin

Publisher: Walter de Gruyter

ISBN: 9783486591866

Category: Analysis - Lehrbuch

Page: 499

View: 8498

Besonderen Wert legt Rudin darauf, dem Leser die Zusammenhänge unterschiedlicher Bereiche der Analysis zu vermitteln und so die Grundlage für ein umfassenderes Verständnis zu schaffen. Das Werk zeichnet sich durch seine wissenschaftliche Prägnanz und Genauigkeit aus und hat damit die Entwicklung der modernen Analysis in nachhaltiger Art und Weise beeinflusst. Der "Baby-Rudin" gehört weltweit zu den beliebtesten Lehrbüchern der Analysis und ist in 13 Sprachen übersetzt. 1993 wurde es mit dem renommierten Steele Prize for Mathematical Exposition der American Mathematical Society ausgezeichnet. Übersetzt von Uwe Krieg.

Mathematik und Technologie

Author: Christiane Rousseau,Yvan Saint-Aubin

Publisher: Springer-Verlag

ISBN: 3642300928

Category: Mathematics

Page: 609

View: 9642

Zusammen mit der Abstraktion ist die Mathematik das entscheidende Werkzeug für technologische Innovationen. Das Buch bietet eine Einführung in zahlreiche Anwendungen der Mathematik auf dem Gebiet der Technologie. Meist werden moderne Anwendungen dargestellt, die heute zum Alltag gehören. Die mathematischen Grundlagen für technologische Anwendungen sind dabei relativ elementar, was die Leistungsstärke der mathematischen Modellbildung und der mathematischen Hilfsmittel beweist. Mit zahlreichen originellen Übungen am Ende eines jeden Kapitels.

Lineare Algebra

Author: Werner Greub

Publisher: Springer-Verlag

ISBN: 3642663850

Category: Mathematics

Page: 222

View: 4475

Wissenschaft und Hypothese

Author: Ferdinand Lindemann,Henri Poincare?,F.L. Lindemann

Publisher: Рипол Классик

ISBN: 5880723313

Category: History

Page: 346

View: 8714

Wissenschaft und Hypothese. Autorisierte deutsche Ausgabe mit erl?uternden Anmerkungen

Fraktale und Finanzen

Märkte zwischen Risiko, Rendite und Ruin

Author: Benoît B. Mandelbrot,Richard L. Hudson

Publisher: N.A

ISBN: 9783492248617

Category: Capital market

Page: 445

View: 2820

Raum, Zeit, Materie

Author: Hermann Weyl

Publisher: Рипол Классик

ISBN: 5880098028

Category: History

Page: N.A

View: 3048

Flugregelung

Author: Rudolf Brockhaus

Publisher: Springer-Verlag

ISBN: 3662072645

Category: Technology & Engineering

Page: 802

View: 8184

Theorie der Supraleitung

Author: Max v. Laue

Publisher: Springer-Verlag

ISBN: 3642884725

Category: Science

Page: 115

View: 7593

Psychiatrie und Psychotherapie

Band 1: Allgemeine Psychiatrie Band 2: Spezielle Psychiatrie

Author: Hans-Jürgen Möller,Gerd Laux,Hans-Peter Kapfhammer

Publisher: Springer-Verlag

ISBN: 3540331298

Category: Medical

Page: 2458

View: 6847

Ein Werk, das Maßstäbe setzt. Längst etablierte sich "der MLK" als das Standardwerk der Psychiatrie und Psychotherapie. Damit Leser stets auf dem aktuellen Stand bleiben und sich dennoch über die wichtigen Grundlagen und Therapien informieren können, gibt es die 3. Auflage jetzt in zwei Bänden. Band 1: "Allgemeine Psychiatrie und Psychotherapie" dient der Vorbereitung auf die Facharztprüfung, dem Nachschlagen der neuesten Entwicklungen und bietet ausführliche Kapitel zu den einzelnen Verfahren. Band 2: "Spezielle Psychiatrie und Psychotherapie" ist ebenso ausführlich, verständlich und enthält sämtliche Störungen. Ganz neu sind die EBM-Boxen.