Edgar Krahn 1894-1961
Author | : Ülo Lumiste |
Publisher | : IOS Press |
Total Pages | : 212 |
Release | : 1994 |
Genre | : Geometry, Differential |
ISBN | : 9789051991680 |
Download Edgar Krahn A Centenary Volume full books in PDF, epub, and Kindle. Read online free Edgar Krahn A Centenary Volume ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Ülo Lumiste |
Publisher | : IOS Press |
Total Pages | : 212 |
Release | : 1994 |
Genre | : Geometry, Differential |
ISBN | : 9789051991680 |
Author | : J. Peetre |
Publisher | : IOS Press |
Total Pages | : 196 |
Release | : 1994-08 |
Genre | : Mathematics |
ISBN | : 9789051991680 |
Edgar Krahn was one of the two authors of the celebrated FaberKrahn inequality connected with the Rayleigh conjecture and who was one of the first to consider isoperimetric problems in the multidimensional case. This volume commenmorates his 100th birthday and surveys the major implicaions of his work in this century.
Author | : E. Brian Davies |
Publisher | : Cambridge University Press |
Total Pages | : 344 |
Release | : 1999-09-30 |
Genre | : Mathematics |
ISBN | : 0521777496 |
Authoritative lectures from world experts on spectral theory and geometry.
Author | : Filippo Santambrogio |
Publisher | : Springer Nature |
Total Pages | : 354 |
Release | : 2024-01-18 |
Genre | : Mathematics |
ISBN | : 3031450361 |
This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mathematical complexities they present. Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical questions such as the existence and uniqueness of solutions, their characterization in terms of partial differential equations, and their regularity. It includes both classical and recent results on one-dimensional variational problems, as well as the adaptation to the multi-dimensional case. Here, convexity plays an important role in establishing semi-continuity results and connections with techniques from optimization, and convex duality is even used to produce regularity results. This is then followed by the more classical Hölder regularity theory for elliptic PDEs and some geometric variational problems on sets, including the isoperimetric inequality and the Steiner tree problem. The book concludes with a chapter on the limits of sequences of variational problems, expressed in terms of Γ-convergence. While primarily designed for master's-level and advanced courses, this textbook, based on its author's instructional experience, also offers original insights that may be of interest to PhD students and researchers. A foundational understanding of measure theory and functional analysis is required, but all the essential concepts are reiterated throughout the book using special memo-boxes.
Author | : Heinz Siedentop |
Publisher | : World Scientific |
Total Pages | : 303 |
Release | : 2013-05-20 |
Genre | : Science |
ISBN | : 9814460168 |
This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.
Author | : Rafael Benguria |
Publisher | : Springer Science & Business Media |
Total Pages | : 341 |
Release | : 2012-06-30 |
Genre | : Mathematics |
ISBN | : 3034804148 |
This volume contains surveys as well as research articles broadly centered on spectral analysis. Topics range from spectral continuity for magnetic and pseudodifferential operators to localization in random media, from the stability of matter to properties of Aharonov-Bohm and Quantum Hall Hamiltonians, from waveguides and resonances to supersymmetric models and dissipative fermion systems. This is the first of a series of volumes reporting every two years on recent progress in spectral theory.
Author | : Uno Kaljulaid |
Publisher | : IOS Press |
Total Pages | : 496 |
Release | : 2006-02-16 |
Genre | : Computers |
ISBN | : 1607501570 |
This volume provides a selection of previously published papers and manuscripts of Uno Kaljulaid, an eminent Estonian algebraist of the last century. The central part of the book is the English translation of Kaljulaid's 1979 Candidate thesis, which originally was typewritten in Russian and manufactured in not so many copies. The thesis is devoted to representation theory in the spirit of his thesis advisor B.I. Plotkin: representations of semigroups and algebras, especially extension to this situation, and application of the notion of triangular product of representations for groups introduced by Plotkin. Through representation theory, Kaljulaid became also interested in automata theory, which at a later phase became his main area of interest. Another field of research concerns combinatorics. Besides being an outstanding and most dedicated mathematician, Uno Kaljulaid was also very much interested in the history of mathematics. In particular, he took a vivid interest in the life and work of the great 19th century Dorpat-Tartu algebraist Th. Molien. Kaljulaid was also very interested in teaching and exposition, or popularization of mathematics. Some of his more popular-scientific papers were published in an Estonian language journal Matemaatika ja Kaasaeg (Mathematics and Our Age). Among them, there is a whole series of papers about algebraic matters, culminating in a brilliant, elementary – although partly rather philosophical – essay devoted to Galois theory. Another such series is his excellent essay of Diophantine Geometry in various installments, followed by his 'éloge' to another of his teachers Yu. I. Manin. It is believed that the inclusion of these papers here will make it more interesting for beginners, and perhaps even contribute to attracting young people to mathematics.
Author | : Steven R. Finch |
Publisher | : Cambridge University Press |
Total Pages | : 634 |
Release | : 2003-08-18 |
Genre | : Mathematics |
ISBN | : 9780521818056 |
Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Author | : Rupert L. Frank |
Publisher | : Cambridge University Press |
Total Pages | : 524 |
Release | : 2022-11-17 |
Genre | : Mathematics |
ISBN | : 1009218441 |
The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.
Author | : Michael Cwikel |
Publisher | : Walter de Gruyter |
Total Pages | : 473 |
Release | : 2008-08-22 |
Genre | : Mathematics |
ISBN | : 3110198053 |
This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.