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.

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods (Progress in Mathematical Physics, Vol. 26) (Progress in Mathematical Physics, 26)

Science & Math

Blanchard, Philippe

Bruening, Erwin

Blanchard, Phillippe

Mathematics

Birkhauser

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.

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods (Progress in Mathematical Physics)

Ségolène : Reine d'un jour, reine de toujours ?

Varenne, Leslie

Hugo et Compagnie

Careers of the Professoriate: Academic Pathways of the Linguists and Sociologists in Germany, France and the UK

Business & Money

Angermuller, Johannes

Job Hunting & Careers

PALGRAVE~MACMILLAN

Das Buch bietet eine Einführung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschäftigt 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 beschränkte Einführung in die Theorie der linearen Operatoren in Hilbert-Räumen. Beide Teile werden von je einer Übersicht begleitet, die die zentralen Ideen und Begriffe knapp erläutert und den Inhalt kurz beschreibt. In den Anhängen werden einige grundlegende Konstruktionen und Konzepte der Funktionalanalysis dargestellt und wichtige Konsequenzen entwickelt.

Distributionen und Hilbertraumoperatoren: Mathematische Methoden der Physik (German Edition)

Reference

Brüning, Erwin

Foreign Language Study & Reference

Springer

The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods.
The text is divided into three parts:
- Part I: A brief introduction to (Schwartz) distribution theory. Elements from the theories of ultra distributions and (Fourier) hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties and methods for distributions are developed with applications to constant coefficient ODEs and PDEs. The relation between distributions and holomorphic functions is considered, as well as basic properties of Sobolev spaces.
- Part II: Fundamental facts about Hilbert spaces. The basic theory of linear (bounded and unbounded) operators in Hilbert spaces and special classes of linear operators - compact, Hilbert-Schmidt, trace class, and Schrödinger operators, as needed in quantum physics and quantum information theory – are explored. This section also contains a detailed spectral analysis of all major classes of linear operators, including completeness of generalized eigenfunctions, as well as of (completely) positive mappings, in particular quantum operations.
- Part III: Direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators. The authors conclude with a discussion of the Hohenberg-Kohn variational principle.
The appendices contain proofs of more general and deeper results, including completions, basic facts about metrizable Hausdorff locally convex topological vector spaces, Baire’s fundamental results and their main consequences, and bilinear functionals.
Mathematical Methods in Physics is aimed at a broad community of graduate students in mathematics, mathematical physics, quantum information theory, physics and engineering, as well as researchers in these disciplines. Expanded content and relevant updates will make this new edition a valuable resource for those working in these disciplines.

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics (Progress in Mathematical Physics, 69)

This book corrects popular misconceptions about China’s trade surplus. It examines the relation between RMB’s exchange rate and China’s trade surplus and discusses how China could potentially reduce trade frictions.

Cities can be considered to be among the largest and most complex artificial networks created by human beings. Due to the numerous and diverse human-driven activities, urban network topology and dynamics can differ quite substantially from that of natural networks and so call for an alternative method of analysis. The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval German cities, the webs of city canals in Amsterdam and Venice, and a modern urban structure such as found in Manhattan. Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers.

Mathematical Analysis of Urban Spatial Networks (Understanding Complex Systems)

Volchenkov, Dimitri

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.

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 and mathematical physics from a unified point of view and to link it to the traditional approach. These modern developments are, according to our background and interests: (i) Thomas-Fermi theory and related theories, and (ii) global systems of semilinear elliptic partial-differential equations and the existence of weak solutions and their regularity. Although the direct method in the calculus of variations can naturally be considered part of nonlinear functional analysis, we have not tried to present our material in this way. Some recent books on nonlinear functional analysis in this spirit are those by K. Deimling (Nonlinear Functional Analysis, Springer, Berlin Heidelberg 1985) and E. Zeidler (Nonlinear Functional Analysis and Its Applications, Vols. 1-4; Springer, New York 1986-1990).

Variational Methods in Mathematical Physics: A Unified Approach (Theoretical and Mathematical Physics)

Computers & Technology

See the best price to sell, buy, or rent books by Blanchard, Philippe. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Blanchard, Philippe

See the best price to sell, buy, or rent books by Blanchard, Philippe. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods (Progress in Mathematical Physics, Vol. 26) (Progress in Mathematical Physics, 26)

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods (Progress in Mathematical Physics)

Ségolène : Reine d'un jour, reine de toujours ?

Careers of the Professoriate: Academic Pathways of the Linguists and Sociologists in Germany, France and the UK

Distributionen und Hilbertraumoperatoren: Mathematische Methoden der Physik (German Edition)

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics (Progress in Mathematical Physics, 69)

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics (Progress in Mathematical Physics, 69)

Mathematical Analysis of Urban Spatial Networks (Understanding Complex Systems)

Mathematical Analysis of Urban Spatial Networks (Understanding Complex Systems)

Variational Methods in Mathematical Physics: A Unified Approach (Theoretical and Mathematical Physics)