30 books for « weyl hermann »Edit

‎Quantenmechanik und Gruppentheorie. - [EARLY ANALYSIS OF THE FOUNDATIONS OF QUANTUM MECHANICS]‎

‎Berlin, Julius Springer, 1927. 8vo. In contemporary half cloth with gilt lettering to spine. In ""Zeitschrift für Fhysik"", vol. 46. Entire volume offered. Library stamp to title page. Pp. 1-46. [Entire volume: VII, (1), 902 pp.].‎

‎First printing of Weyl's exceedingly important paper which initially did not attract much attention but ""its repercussion turned out to be remarkably strong in the long range"". (Scholz, Weyl Entering the ’New’ Quantum Mechanics Discourse , p. 14). In it Weyl put forth an analysis of the foundations of quantum mechanics.""Weyl's (1927) paper, referred to by Yang above, is entitled Quantenmechanik und Gruppentheorie (Quantum Mechanics and Group Theory). In it, Weyl provides an analysis of the foundations of quantum mechanics and he emphasizes the fundamental role Lie groups play in that theory. Weyl begins the paper by raising two questions: (1) how do I arrive at the self-adjoint operators, which represent a given quantity of a physical system whose constitution is known, and (2), what is the physical interpretation of these operators and which physical consequences can be derived from them? Weyl suggests that while the second question has been answered by von Neumann, the first question has not yet received a satisfactory answer, and Weyl proposes to provide one with the help of group theory."" (SEP)Weyl’s approach to quantization was so general that for decades to come it did not attract much attention of physicists. At the beginning it even attracted very few successor investigations inside mathematics and was not noticed in the foundation of QM discourse, which was exclusively shaped by the Hilbert and von Neumann view until the 1950s. Although the immediate reception of Weyl’s early contributions to QM until about 1927, in particular his (Weyl 1927), was very sparse, its repercussion turned out to be remarkably strong in the long range:""1. A first and immediate next step was made by Marshall Stone and John von Neumann. They both took up Weyl’s statement of a uniquely determined structure of irreducible unitary ray representations. The result of this work is (for finite n) the now famous Stone/von Neumann representation theorem.2. A second line of repercussions may be seen in that part of the work of E. Wigner and V. Bargmann, which dealt with unitary and semi-unitary ray representations. In particular Wigner’s now famous work (at the time among physicists completely neglected) on the irreducible unitary ray representations of the Poincar´e group (Wigner 1939) looks like a next step beyond Weyl’s non-relativistic quantum kinematics from 1927. 3. A third impact is clearly to be seen in George Mackeys’s work. Mackey expressedly took up Weyl’s perspective (Mackey 1949) and developed it into a broader program for the study of irreducible unitary representations of group extensions.4.Finally, Weyl quantization was taken up by mathematical physicists from the later 1960s onwards with the rise of deformation quantization (Pool 1966). Here the starting point was the idea to translate the operator product introduced by Weyl’s own quantization.The last two points lead straight into very recent developments of mathematical physics."" (Scholz, Weyl Entering the ’New’ Quantum Mechanics Discourse).‎

‎Das Kontinuum. Kritische Untersuchungen über die Grundlagen der Analysis.‎

‎Leipzig, Veit & Comp., 1918. Uncut and unopened in orig. printed wrappers. A very small nick to upper part of endwrapper. IV,(1),83 pp. Fine and clean.‎

‎Scarce first edition. ""In his 1818 monograph ""Ds Kontinuum"" Hermann Weyl initiated a program for the arithmetical foundations of mathematics. In the years following, this was overshadowed by the foundational scemes of Hilbert's nitary consistency program and Brouwer's intuitionistic redevelopment of mathematics. In fact, nor long after his own venture, Weyl became a convert to Brouwerian intuitionism and critized his old teachers program. Over the years, though, he became more and more pessimistic about the practical possibilities of reworking mathematics along intuitionistic lines, and pointed to the value of his own early foundational works. Weyl's work ""Das Kontinuum"" has come to be recognized for its importence as the opening chapter in the actual development of predicative mathematics, whose extent has been plumbed both mathematically and logically since the 1960'ties."" (Salomon feferman)‎

‎Über die Konvergenz von Reihen, die nach Orthogonalfunktionen fortschreiten.‎

‎Leipzig, B.G. Teubner, 1909. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 67 Band. 2. Heft."" Entire issue offered. Internally very fine and clean. [Weyl:] Pp. 225-45. [Entire issue: Pp. 145-280].‎

‎First printing of Weyl's paper on the convergence of series which continue as orthogonal functions. ""Very few of Weyl's 150 published books and papers-even those chiefly of an expository character-lack an original idea or afresh viewpoint. The influence of his works and of his teaching was considerable: he proved by his example that an ""abstract"" approach to mathematics is perfectly compatible with ""hard"" analysis and, in fact, can be one of the most powerful tools when properly applied."" (DSB)‎

‎Die Idee der Riemannschen Fläche. (Mathematische Vorlesungen an der Universitat Göttingen, no. V).‎

‎Leipzig und Berlin, B.G. Teubner, 1913. Orig. green printed wrappers. Frontwrapper nearly loose but without loss. Backstrip faded. Very small nicks to spineends. IX,(1),169,(1) pp. + Publishers catalogue. Textillustrations. Internally clean and fine.‎

‎Scarce first edition. As privatdozent Hermann Weyl had given a course on Riemann's theory of functions" but instead of following his predecessors in their constant appeal to intuition for the definition and properties of Riemann surfaces, he set out to give to their theory the same kind of axiomatic and rigorous treatment that Hilbert had given to Euclidean geometry. Using Hilbert's idea of defining neighborhoods by a system of axioms, and influenced by Brouwer's clever application of Poincare's simplicial methods (which had just been published), he gave the first rigorous definition of a complex manifold of dimension 1 and a throughout treatment (without any appeal to intuition) of all the questions regarding orientation, homology, and fundamental groups of these manifolds. ""Die Idee der Riemannschen Fläche"" (1913) immediately became a classic and inspired all later developments of the theory of differential and complex manifolds.(J.Dieudonne in DSB).‎

‎Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. - [FIRST DESCRIPTION OF ESSENTIAL SPECTRUM]‎

‎Leipzig, B.G. Teubner, 1910. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 68. Band. 2. Heft.""Entire issue offered. Internally very fine and clean. [Weyl:] Pp. 220-69. [Entire issue: Pp. 145-304].‎

‎First printing of Weyl's important paper in which he created the topic of essential spectrum.In mathematics, the essential spectrum is a certain subset of its spectrum, defined by a condition of the type that says, ""fails badly to be invertible"".‎

‎Eine Neue Erweiterung der Relativitätstheorie [Weyl] (+) Experimenteller Nachweis der Schwereänderung, die ein auf normal geformter Erdoberfläche in östlicher oder westlicker Richtung bewegter Körper durch diese Bewegung erleidet [Eötvös].‎

‎Leipzig, Ambrosius Barth, 1919. 8vo. In contemporary half cloth with gilt lettering to spine. In ""Annalen der Physik"", Vierte Folge, Band 59. Entire volume offered. Hinges weak a library labels pasted on the pasted down front free end paper. Stamp to title page, othrewise a fine copy. Pp. 101-133"" Pp. 743-752. [Entire volume: VII, (1), 760 pp.].‎

‎First printing of WEYL ambitious paper in which he used the Stoney units, named after the Irish physicist George Johnstone Stoney, to unify quantum processes and gravity thereby seeking to create a ""Unified Field Theory"". The paper appears to have inspired Dirac's fascination with the large number hypothesis.Also contain in this volume is the first appearance of EÖTVÖS' important paper in which he explains the eastward deflection of falling objects. In the paper, he also describes a device with which the effect can be demonstrated experimentally.The Eötvös effect is the change in perceived gravitational force caused by the change in centrifugal acceleration resulting from eastbound or westbound velocity. When moving eastbound, the object's angular velocity is increased (in addition to the earth's rotation), and thus the centrifugal force also increases, causing a perceived reduction in gravitational force. This phenomenon had been observed in the early 20th century on research ships on which gravity was measured" they noticed that measurements of g yielded smaller values when the ship went eastward, and larger ones when they went westward. These observations are mentioned by Eötvös in a paper in which he provides the explanation of the effect.‎

‎Quantenmechanik und Gruppentheorie.‎

‎Berlin, Julius Springer, 1928. 8vo. Contemp. hcloth. Gilt lettering to spine. In: Zeitschrift für Physik, Vol. 46. VII,902 pp. (Entire volume offered). Weyl's paper: pp. 1-46. Clean and fine.‎

‎First printing of the paper in which Weyl developed the concept of continous groups by using matrix representations in dealing with the mathematical formalism of quantum theory.‎

‎Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. - [FIRST DESCRIPTION OF ESSENTIAL SPECTRUM]‎

‎Leipzig, B.G. Teubner, 1910. 8vo. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 68. Band"". Pp. 220-69.‎

‎First printing of Weyl's important paper in which he created the topic of essential spectrum.In mathematics, the essential spectrum is a certain subset of its spectrum, defined by a condition of the type that says, ""fails badly to be invertible"".‎

‎Quantenmechanik und Gruppentheorie.‎

‎Berlin, Julius Springer, 1928. 8vo. Bound in contemporary half cloth with gilt lettering, In ""Zeitschrift für Physik"", Band 46, 1928. Entire issue offered. Two stamps to title page, otherwise fine. Pp. 1-46. [Entire volume: VII, 902 pp].‎

‎First printing of the paper in which Weyl developed the concept of continous groups by using matrix representations in dealing with the mathematical formalism of quantum theory.‎

‎Zur Gravitationstheorie.‎

‎Leipzig, Ambrosius Barth, 1917. 8vo. In full black cloth with gilt lettering to spine. In ""Annalen der Physik"", Vierte Folge, Band 54. Entire volume offered. Library labels to front end papers and stamp to title page, otherwise fine and clean. Pp. 117-145. [Entire volume: (2), 626, VIII pp. + 3 plates.].‎

‎First appearance of Weyl's first paper on gravitation and Einstein's theory of relativity.‎

‎Die Stufen des Unendlichen. Vortrag, gehalten am 27. Oktober bei der Eröffnung der Gästetagung der Mathematischen Gesellschaft an der Universität jena im Abbeanum.‎

‎Jena, Gustav Fischer, 1931. Orig. printed wrappers, uncut. (2),19,(1) pp. Clean and fine, excepts for a spot on p. 8 and 9.‎

‎First edition.‎

‎Mathematische Analyse des Raumproblems. Vorlesungen gehalten in Barcelona und Madrid. Mit 8 Abbildungen.‎

‎Berlin, Julius Springer, 1923. Orig. printed wrappers, uncut. Small nicks to backstrip. VII,117,(1) pp. Clean and fine.‎

‎First edition.‎

‎Die heutige Erkenntnislage in der Mathematik.‎

‎Erlangen, Weltkreis-Verlag, 1926. Orig. printed wrappers. Offprint/Sonderdruck des Symposion heft 3. (1),32 pp. Owners name on top of titlepage.‎

‎First edition.‎

‎Raum, Zeit, Matiere. Vorlesungen über allgemeine Relativitätstheorie.‎

‎Berlin, Heidelberg, New York, Springer-Verlag, 1970 in-8vo, 338 S., mit 23 Abbildungen, Original-Broschüre.‎