Author: Publisher:
ISBN:
Category : Mathematical physics
Languages : de
Pages : 900
Book Description
Includes section "Literaturberichte" in v. 1-51?
Monatshefte für Mathematik und Physik
Author: Publisher:
ISBN:
Category : Mathematical physics
Languages : de
Pages : 900
Book Description
Includes section "Literaturberichte" in v. 1-51?
Monatshefte für Mathematik und Physik
Author: Monatshefte für Mathematik und Physik
Author: Monatshefte für Mathematik
Author: Publisher:
ISBN:
Category : Electronic journals
Languages : de
Pages : 504
Book Description
Includes section "Literaturberichte" in v. 1-51?
Collected Papers of Hans Rademacher
Author: Hans RademacherPublisher: MIT Press
ISBN: 9780262070553
Category : Business & Economics
Languages : en
Pages : 680
Book Description
These two volumes contain all the papers published by Hans Rademacher, either alone or as joint author, essentially in chronological order. Included also are a collection of published abstracts, a number of papers that appeared in institutes and seminars but are only now being formally published, and several problems posed and/or solved by Rademacher. The editor has provided notes for each paper, offering comments and making corrections. He has also contributed a biographical sketch. The earlier papers are on real variables, measurability, convergence factors, and Euler summability of series. This phase of Rademacher's work culminates in a paper of 1922, in which he introduced the systems of orthogonal functions now known as the Rademacher functions. After this, a new period in Rademacher's career began, and his major effort was devoted to the theory of functions of a complex variable and number theory. Some of his most important contributions were made in these fields. He perfected the sieve method and used it skillfully in the study of algebraic number fields; he studied the additive prime number theory of these fields; he generalized Goldbach's Problem; and he began his work on the theory of the Riemann zeta function, modular functions, and Dedekind sums (now often&-and justly&-called Dedekind-Rademacher sums). To this period also becomes what has become known as the Rademacher-Brauer formula. Rademacher came to the United States as a refugee in 1934. In the years that followed, he obtained some of his most important results in connection with the Fourier coefficients of modular forms of positive dimensions. His general method may be considered a modification and improvement of the Hardy-Ramanujan-Littlewood circle method. He also published additional papers on Dedekind-Rademacher sums (with A. Whiteman), general number theory (with H. S. Zuckerman), and modular functions (also with Zuckerman). During the last decade of his life&-the 1960s&-he continued his work on these problems and devoted considerable attention to general analysis&-especially harmonic analysis&-and to analytic number theory. All of the papers in Volume I and ten of those in Volume II are in German. One paper is in Hungarian. The volumes are part of the MIT Press series Mathematicians of Our Time (Gian-Carlo Rota, general editor).
Philosophy of Logic
Author: Publisher: Elsevier
ISBN: 008046663X
Category : Mathematics
Languages : en
Pages : 1219
Book Description
The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter
Monatshefte Fur Mathematik, Vol 111
Author: Kurt Gödel: Collected Works: Volume IV
Author: Kurt GödelPublisher:
ISBN: 019968961X
Category : Computers
Languages : en
Pages : 685
Book Description
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century. These collected works form the only comprehensive edition of Gödel's work available and are designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.
Kurt Gödel: Collected Works: Volume V
Author: Kurt GödelPublisher: Clarendon Press
ISBN: 0191003778
Category : Mathematics
Languages : en
Pages : 691
Book Description
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.
Correspondence H-Z
Author: Kurt GödelPublisher: Oxford University Press
ISBN: 0198500750
Category : Computers
Languages : en
Pages : 691
Book Description
The collected works of Kurt Godel is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.