Das Buch bietet eine Einfuhrung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschaftigt sich mit der Theorie der Distributionen und vermittelt daneben einige Grundbegriffe der linearen Funktionalanalysis. Der zweite Teil baut darauf auf und gibt eine auf das Wesentliche beschrankte Einfuhrung in die Theorie der linearen Operatoren in Hilbert-Raumen. Beide Teile werden von je einer Ubersicht begleitet, die die zentralen Ideen und Begriffe knapp erlautert und den Inhalt kurz beschreibt. In den Anhangen werden einige grundlegende...
Das Buch bietet eine Einfuhrung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschafti...
This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics. Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms.
This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between m...
This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics.
This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few yea...
Cities are considered to be among the largest and most complex artificial networks created by human beings. This monograph uses methods from spectral graph theory and statistical physics to lay the theoretical foundations for studying compact urban topology.
Cities are considered to be among the largest and most complex artificial networks created by human beings. This monograph uses methods from spectr...
This text introduces the theory of graphs and random walks on graphs, covers methods for exploring the structure of finite connected graphs and databases, and details applications in electric resistance networks, urban planning, linguistic databases, and more.
This text introduces the theory of graphs and random walks on graphs, covers methods for exploring the structure of finite connected graphs and databa...
The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes partially beyond the textbook level. We should emphasize here that the primary intentions of this book are to provide (so far as possible given the restrictions of space) a selfcontained presentation of some modern developments in the direct methods of the cal culus of variations in applied mathematics...
The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This seco...
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained prese...
This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics.
This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few yea...
This edited book presents the problems of time and direction from an interdisciplinary point of view, concentrating in particular on the following relations:
Time and physics Time, philosophy and psychology Time, mathematics and information theory
It is a unique contribution by philosophers and scientists who are active in mathematics, physics, biology, engineering, information theory and psychology. Questions such as the existence of a Big Bang, the neurobiological basis regarding the coexistence of free will and determinism, intercultural aspects of time, mathematical...
This edited book presents the problems of time and direction from an interdisciplinary point of view, concentrating in particular on the following ...
Quantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of non-linear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties...
Quantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations. Contributions to this field ...
![Distributionen Und Hilbertraumoperatoren: Mathematische Methoden Der Physik Philippe Blanchard Erwin Br]ning Erwin Bruning 9783211825075 Springer](/9783211825075_distributionen_und_hilbertraumoperatoren_mathematische_methoden_der_physik.jpg "Distributionen Und Hilbertraumoperatoren: Mathematische Methoden Der Physik")
