Mathematik Klasse 1 4

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An Introduction to Proof Theory

Author : Paolo Mancosu
Publisher : Oxford University Press
ISBN 13 : 0192895931
Total Pages : 431 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis An Introduction to Proof Theory by : Paolo Mancosu

Download or read book An Introduction to Proof Theory written by Paolo Mancosu and published by Oxford University Press. This book was released on 2021 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

Proceedings of the London Mathematical Society

Author : London Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 658 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Proceedings of the London Mathematical Society by : London Mathematical Society

Download or read book Proceedings of the London Mathematical Society written by London Mathematical Society and published by . This book was released on 1925 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.

Mathematical Analysis and Numerical Methods for Science and Technology

Author : Robert Dautray
Publisher : Springer Science & Business Media
ISBN 13 : 3642615317
Total Pages : 503 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Mathematical Analysis and Numerical Methods for Science and Technology by : Robert Dautray

Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Truth & Denotation

Author : R. M. Martin
Publisher : Routledge
ISBN 13 : 1317440315
Total Pages : 221 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Truth & Denotation by : R. M. Martin

Download or read book Truth & Denotation written by R. M. Martin and published by Routledge. This book was released on 2015-06-05 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1958. A study in the logical foundations of modern theoretical semantics, this book is concerned with notions of designation and consistency as well as denotation and truth. It presents several semantical theories, each of which with what were new concepts or treatments from the author. Talking at a time when semantical theory was gained great ground, this book also looks at the methodology of the sciences and the semantics of scientific language alongside analysis of meaning and expression. It is influenced by the writings of Carnap, Church, Frege, Goodman, Quine, Russell and Tarski.

Book Catalogues

Author :
Publisher :
ISBN 13 :
Total Pages : 764 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Book Catalogues by :

Download or read book Book Catalogues written by and published by . This book was released on 1886 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conditions of School Performance in Seven Countries

Author : Hans Döbert
Publisher : Waxmann Verlag
ISBN 13 : 9783830963738
Total Pages : 492 pages
Book Rating : 4.9/5 (637 download)

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Book Synopsis Conditions of School Performance in Seven Countries by : Hans Döbert

Download or read book Conditions of School Performance in Seven Countries written by Hans Döbert and published by Waxmann Verlag. This book was released on 2004 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Unexamined Orwell

Author : John Rodden
Publisher : University of Texas Press
ISBN 13 : 0292748973
Total Pages : 416 pages
Book Rating : 4.2/5 (927 download)

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Book Synopsis The Unexamined Orwell by : John Rodden

Download or read book The Unexamined Orwell written by John Rodden and published by University of Texas Press. This book was released on 2012-08-17 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reflection on Orwell-as-idea that “outlines some of the misconceptions and misuses of the Orwell name” (Modern Fiction Studies). The year 1984 is just a memory, but the catchwords of George Orwell’s novel Nineteen Eighty-Four still routinely pepper public discussions of topics ranging from government surveillance and privacy invasion to language corruption and bureaucratese. Orwell’s work pervades the cultural imagination, while others of his literary generation are long forgotten. Exploring this astonishing afterlife has become the scholarly vocation of John Rodden, who is now the leading authority on the reception, impact, and reinvention of George Orwell—the man and writer—as well as of “Orwell” the cultural icon and historical talisman. In The Unexamined Orwell, Rodden delves into dimensions of Orwell’s life and legacy that have escaped the critical glare. He discusses how several leading American intellectuals have earned the title of Orwell’s “successor,” including Lionel Trilling, Dwight Macdonald, Irving Howe, Christopher Hitchens, and John Lukacs. He then turns to Germany and focuses on the role and relevance of Nineteen Eighty-Four in the now-defunct communist nation of East Germany. Rodden also addresses myths that have grown up around Orwell’s life, including his “more than half-legendary” encounter with Ernest Hemingway in liberated Paris in March 1945, and analyzes literary issues such as his utopian sensibility and his prose style. Finally, Rodden poses the endlessly debated question, “What would George Orwell do?” and speculates about how the prophet of Nineteen Eighty-Four would have reacted to world events. In so doing, Rodden shows how our responses to this question reveal much about our culture’s ongoing need to reappropriate “Orwell.”

Inclusive Mathematics Education

Author : David Kollosche
Publisher : Springer
ISBN 13 : 3030115186
Total Pages : 654 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Inclusive Mathematics Education by : David Kollosche

Download or read book Inclusive Mathematics Education written by David Kollosche and published by Springer. This book was released on 2019-03-25 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an overview of state-of-the-art research from Brazil and Germany in the field of inclusive mathematics education. Originated from a research cooperation between two countries where inclusive education in mathematics has been a major challenge, this volume seeks to make recent research findings available to the international community of mathematics teachers and researchers. In the book, the authors cover a wide variety of special needs that learners of mathematics may have in inclusive settings. They present theoretical frameworks and methodological approaches for research and practice.

Monatschrift Fur Hohere Schulen

Author :
Publisher :
ISBN 13 :
Total Pages : 502 pages
Book Rating : 4.:/5 (28 download)

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Book Synopsis Monatschrift Fur Hohere Schulen by :

Download or read book Monatschrift Fur Hohere Schulen written by and published by . This book was released on 1919 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher : Waxmann Verlag
ISBN 13 : 3830971737
Total Pages : 334 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis by :

Download or read book written by and published by Waxmann Verlag. This book was released on with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics of Frobenius in Context

Author : Thomas Hawkins
Publisher : Springer Science & Business Media
ISBN 13 : 1461463335
Total Pages : 698 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis The Mathematics of Frobenius in Context by : Thomas Hawkins

Download or read book The Mathematics of Frobenius in Context written by Thomas Hawkins and published by Springer Science & Business Media. This book was released on 2013-07-23 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.

Kurt Gödel: Collected Works: Volume IV

Author : Kurt Gödel
Publisher : Clarendon Press
ISBN 13 : 019100376X
Total Pages : 685 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Kurt Gödel: Collected Works: Volume IV by : Kurt Gödel

Download or read book Kurt Gödel: Collected Works: Volume IV written by Kurt Gödel and published by Clarendon Press. This book was released on 2014-01-09 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Constants

Author : Steven R. Finch
Publisher : Cambridge University Press
ISBN 13 : 9780521818056
Total Pages : 634 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Mathematical Constants by : Steven R. Finch

Download or read book Mathematical Constants written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003-08-18 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Analysis – Methods, Trends, and Applications

Author : Eberhard Lanckau
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112707753
Total Pages : 400 pages
Book Rating : 4.1/5 (127 download)

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Book Synopsis Complex Analysis – Methods, Trends, and Applications by : Eberhard Lanckau

Download or read book Complex Analysis – Methods, Trends, and Applications written by Eberhard Lanckau and published by Walter de Gruyter GmbH & Co KG. This book was released on 1983-12-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Complex Analysis – Methods, Trends, and Applications".

International Catalogue of Scientific Literature [1901-14].

Author :
Publisher :
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis International Catalogue of Scientific Literature [1901-14]. by :

Download or read book International Catalogue of Scientific Literature [1901-14]. written by and published by . This book was released on 1902 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vorlesungen über die hypergeometrische Funktion

Author : Felix Klein
Publisher : Springer Science & Business Media
ISBN 13 : 3642678882
Total Pages : 356 pages
Book Rating : 4.6/5 (426 download)

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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.

From Frege to Gödel

Author : Jean van Heijenoort
Publisher : Harvard University Press
ISBN 13 : 0674257243
Total Pages : 684 pages
Book Rating : 4.6/5 (742 download)

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Book Synopsis From Frege to Gödel by : Jean van Heijenoort

Download or read book From Frege to Gödel written by Jean van Heijenoort and published by Harvard University Press. This book was released on 2002-01-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege’s Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory. Frege’s book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim’s theorem, and he and Fraenkel amend Zermelo’s axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter’s famous incompleteness paper. Of the forty-five contributions here collected all but five are presented in extenso. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included.