This is the third Selecta of publications of Elliott Lieb, the first two being Stabil- ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai.
In the nearly five years since the publication of what we refer to as The Hitchhiker's Guide, we have been the recipients of much advice and many complaints.
Oleg Wilfer presents a new conjugate duality concept for geometric and cone constrained optimization problems whose objective functions are a composition of finitely many functions.
Die Autoren klassifizieren kurz die in Natur und Technik auftretenden Signale und stellen die Ecksteine der „analogen“ Fourier-Transformation als Basis für das essential dar.
Die Autoren erläutern die Fourier-Transformation und ihre technischen Anwendungen, insbesondere in der Signal- und Systemtheorie, dank ihrer langjährigen Erfahrungen sehr anschaulich.
Dieses Übungsbuch befasst sich mit „Signalen und Systemen“ und es wird insbesondere auf die Methoden reelle und komplexe Fourier-Reihen, Differentialgleichungen, Faltung, Fourier- und Laplacetransformation eingegangen.
Dieses Buch behandelt thematisch geordnete Anwendungen und Aufgaben mit kompletten Lösungen zur mehrdimensionalen Integrationstheorie, Fourier-Analysis und Funktionentheorie mit Anwendungen.
Als mehrbändiges Nachschlagewerk ist das Springer-Handbuch der Mathematik in erster Linie für wissenschaftliche Bibliotheken, akademische Institutionen und Firmen sowie interessierte Individualkunden in Forschung und Lehre gedacht.
Die Autoren erläutern die Fourier-Transformation und ihre technischen Anwendungen, insbesondere in der Signal- und Systemtheorie, dank ihrer langjährigen Erfahrungen sehr anschaulich.
Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.
The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure.
The eigenvalue densities in various matrix models in quantum chromodynamics (QCD) are ultimately unified in this book by a unified model derived from the integrable systems.
L’étude mathématique des problèmes d’optimisation, ou de ceux dits variationnels de manière générale (c’est-à-dire, « toute situation où il y a quelque chose à minimiser sous des contraintes »), requiert en préalable qu’on en maîtrise les bases, les outils fondamentaux et quelques principes.
This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members.
Necas' book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems.
Dieses Lehrbuch vermittelt dem Leser ein solides Basiswissen, wie es für weite Bereiche der Mathematik unerläßlich ist, insbesondere für die reelle Analysis, Funktionalanalysis, Wahrscheinlichkeitstheorie und mathematische Statistik.
Le but du livre est de donner aux enseignants et aux étudiants (à partir de Bac+4) en mathématiques appliquées et en mécanique des fluides un outil d'enseignement et d'apprentissage illustré par cinquante problèmes accompagnés de leur correction détaillée.
"e;Chemists familiar with conventional quantum mechanics will applaud and benefit greatly from this particularly instructive, thorough and clearly written exposition of density functional theory: its basis, concepts, terms, implementation, and performance in diverse applications.
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail.
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail.
THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed- graph theorems, and the so-called Krein-~mulian theorem.
Seit Erscheinen meines Buches "Lineare Operatoren in Hilberträumen" [38] im Jahre 1976 und dessen englischer Übersetzung [39] im Jahre 1980 haben mich viele freundliche Stellungnahmen erreicht.
While wavelets have since their discovery mainly been applied to problems in signal analysis and image compression, their analytic power has more and more also been recognized for problems in Numerical Analysis.
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016.
The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure.
This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration.
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers.
This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.
