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Vorlesungen Uber Die Algebra
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Book Synopsis Vorlesungen über die hypergeometrische Funktion by : Felix Klein
Download or read book Vorlesungen über die hypergeometrische Funktion written by Felix Klein and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bei der Herausgabe der KLEINschen Vorlesung über die hyper geometrische Funktion erschienen nur zwei Wege gangbar: Entweder eine durchgreifende Umarbeitung, auch im großen, oder eine möglichst weitgehende Erhaltung der ursprünglichen Form. Vor allem auch aus historischen Gründen wurde der letztere Weg beschritten. Daher ist die Anordnung des Stoffes erhalten geblieben; e, s ist nur, von kleinen Änderungen abgesehen, ein Exkurs über homogene Schreibweise aus der KLEINschen Vorlesung über lineare Differentialgleichungen ein gefügt, ferner sind die Schlußbemerkungen zur geometrischen Theorie im Falle komplexer Exponenten als durch die Arbeiten von F. SCHILLING überholt, weggelassen. Aus dem obengenannten Grunde sind beispiels weise auch Entwicklungen beibehalten worden, die heute schon dem Anfänger geläufig sind (etwa die Ausführungen über stereographische Projektion). In Rücksicht auf möglichste Erhaltung der KLEINschen Darstellung sind ferner Hinweise des Herausgebers auf inzwischen ge machte Fortschritte der Wissenschaft vom Texte getrennt als Anmerkun gen am Schluß zusammengestellt. Diese Hinweise erheben aber in keiner Weise den Anspruch auf Vollständigkeit. Bei der nicht zu um gehenden Revision des Textes im einzelnen ist, dem oben angegebenen Gesichtspunkt entsprechend, möglichste Wahrung des persönlichen KLEINschen Stils angestrebt. übrigens habe ich darauf Bedacht genommen, auch dem A nlänger die Lektüre durch Anmerkungen und durch Nachweise der KLEINschen Zitate zu erleichtern. Denn zweifellos bieten gerade diese Vorlesungen eine treffliche Ergänzung und Weiterführung dessen, was der Studierende mittleren Semesters an Geometrie und Funktionentheorie kennen gelernt hat.
Book Synopsis History and Philosophy of Modern Mathematics by : William Aspray
Download or read book History and Philosophy of Modern Mathematics written by William Aspray and published by U of Minnesota Press. This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
Book Synopsis Algebraic Equations by : George Ballard Mathews
Download or read book Algebraic Equations written by George Ballard Mathews and published by . This book was released on 1907 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Methods of Mathematical Logic by : Ladislav Rieger
Download or read book Algebraic Methods of Mathematical Logic written by Ladislav Rieger and published by Elsevier. This book was released on 2014-05-12 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Methods of Mathematical Logic focuses on the algebraic methods of mathematical logic, including Boolean algebra, mathematical language, and arithmetization. The book first offers information on the dialectic of the relation between mathematical and metamathematical aspects; metamathematico-mathematical parallelism and its natural limits; practical applications of methods of mathematical logic; and principal mathematical tools of mathematical logic. The text then elaborates on the language of mathematics and its symbolization and recursive construction of the relation of consequence. Discussions focus on recursive construction of the relation of consequence, fundamental descriptively-semantic rules, mathematical logic and mathematical language as a material system of signs, and the substance and purpose of symbolization of mathematical language. The publication examines expressive possibilities of symbolization; intuitive and mathematical notions of an idealized axiomatic mathematical theory; and the algebraic theory of elementary predicate logic. Topics include the notion of Boolean algebra based on joins, meets, and complementation, logical frame of a language and mathematical theory, and arithmetization and algebraization. The manuscript is a valuable reference for mathematicians and researchers interested in the algebraic methods of mathematical logic.
Book Synopsis Mathematics and the Historian's Craft by : Michael Kinyon
Download or read book Mathematics and the Historian's Craft written by Michael Kinyon and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility
Book Synopsis Algebraic Equations by : G. B. Mathews
Download or read book Algebraic Equations written by G. B. Mathews and published by Cambridge University Press. This book was released on 2015-03-26 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1930, this book gives a concise account of the theory of equations according to the ideas of Galois.
Author :Guillermo E. Rosado Haddock Publisher :Walter de Gruyter GmbH & Co KG ISBN 13 :3110494183 Total Pages :310 pages Book Rating :4.1/5 (14 download)
Book Synopsis Husserl and Analytic Philosophy by : Guillermo E. Rosado Haddock
Download or read book Husserl and Analytic Philosophy written by Guillermo E. Rosado Haddock and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-10-24 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contributes to the refutation of the separation of philosophy in the 20th century into analytic and continental. It is shown that Edmund Husserl was seriously concerned with issues of so-called analytic philosophy, that there are strict parallelisms between Husserl’s treatment of philosophical subjects and those of authors in the analytic tradition, and that Husserl had a strong influence on Rudolf Carnap’s ‘Aufbau’.
Book Synopsis Modern Algebra and the Rise of Mathematical Structures by : Leo Corry
Download or read book Modern Algebra and the Rise of Mathematical Structures written by Leo Corry and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Book Synopsis 7000-7999, Social sciences, 8000-8999, Natural sciences; 9000-9999, Technology by : Princeton University. Library
Download or read book 7000-7999, Social sciences, 8000-8999, Natural sciences; 9000-9999, Technology written by Princeton University. Library and published by . This book was released on 1920 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sets and Extensions in the Twentieth Century by :
Download or read book Sets and Extensions in the Twentieth Century written by and published by Elsevier. This book was released on 2012-01-24 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights
Book Synopsis The Origin of the Logic of Symbolic Mathematics by : Burt C. Hopkins
Download or read book The Origin of the Logic of Symbolic Mathematics written by Burt C. Hopkins and published by Indiana University Press. This book was released on 2011-09-07 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.
Book Synopsis The Encyclopædia Britannica by : Hugh Chisholm
Download or read book The Encyclopædia Britannica written by Hugh Chisholm and published by . This book was released on 1910 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Edmund Husserl written by Dermot Moran and published by Polity. This book was released on 2005 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dermot Moran provides a lucid, engaging, and critical introduction to Edmund Husserl's philosophy, with specific emphasis on his development of phenomenology. This book is a comprehensive guide to Husserl's thought from its origins in nineteenth-century concerns with the nature of scientific knowledge and with psychologism, through his breakthrough discovery of phenomenology and his elucidation of the phenomenological method, to the late analyses of culture and the life-world. Husserl's complex ideas are presented in a clear and expert manner. Individual chapters explore Husserl's key texts including Philosophy of Arithmetic, Logical Investigations, Ideas I, Cartesian Meditations and Crisis of the European Sciences. In addition, Moran offers penetrating criticisms and evaluations of Husserl's achievement, including the contribution of his phenomenology to current philosophical debates concerning consciousness and the mind. Edmund Husserl is an invaluable guide to understanding the thought of one of the seminal thinkers of the twentieth century. It will be helpful to students of contemporary philosophy, and to those interested in scientific, literary and cultural studies on the European continent.
Book Synopsis Machine Learning Methods for Commonsense Reasoning Processes: Interactive Models by : Naidenova, Xenia
Download or read book Machine Learning Methods for Commonsense Reasoning Processes: Interactive Models written by Naidenova, Xenia and published by IGI Global. This book was released on 2009-10-31 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book suggests that classification is a key to human commonsense reasoning and transforms traditional considerations of data and knowledge communications, presenting an effective classification of logical rules used in the modeling of commonsense reasoning.
Book Synopsis Finite Automata, Their Algebras and Grammars by : J. Richard Büchi
Download or read book Finite Automata, Their Algebras and Grammars written by J. Richard Büchi and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he covers the basic theory as well as many nonstandard subjects. Thus the book serves as a textbook for both the beginner and the advances student, and also as a rich source for the expert.
Book Synopsis American Journal of Mathematics by :
Download or read book American Journal of Mathematics written by and published by . This book was released on 1909 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Download or read book Proceedings written by Leon Henkin and published by American Mathematical Soc.. This book was released on 1974 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
