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Author : Michael Bamberger
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (777 download)
Download or read book Die Mathematik und ihre Grenzen written by Michael Bamberger and published by . This book was released on 2003 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dirk W. Hoffmann
Publisher : Springer-Verlag
ISBN 13 : 3827425603
Total Pages : 410 pages
Book Rating : 4.8/5 (274 download)
Download or read book Grenzen der Mathematik written by Dirk W. Hoffmann and published by Springer-Verlag. This book was released on 2011-01-21 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ist die Mathematik frei von Widersprüchen? Gibt es Wahrheiten jenseits des Beweisbaren? Ist es möglich, unser mathematisches Wissen in eine einzige Zahl hineinzucodieren? Die moderne mathematische Logik des zwanzigsten Jahrhunderts gibt verblüffende Antworten auf solche Fragen; Antworten, die die Mathematik in der gleichen Weise verändert haben wie die Einstein’sche Relativitätstheorie die Physik. Heute wissen wir, dass in der Mathematik erkenntnistheoretische Grenzen existieren, die wir nicht überwinden können. Sie sind integraler Bestandteil jener Gesetzmäßigkeiten, die diese Wissenschaft im Innersten zusammenhalten. Das vorliegende Buch entführt Sie auf eine Reise durch die Kerngebiete der mathematischen Logik, hin zu den Grenzen der Mathematik. Unter anderem werden die folgenden Themen behandelt: Geschichte der mathematischen Logik, formale Systeme, axiomatische Zahlentheorie und Mengenlehre, Beweistheorie, die Gödel‘schen Unvollständigkeitssätze, Berechenbarkeitstheorie, algorithmische Informationstheorie, Modelltheorie. Das Buch enthält zahlreiche zweifarbige Abbildungen und mehr als 70 Aufgaben (mit Lösungen auf der Website zum Buch).
Author : Renate Tobies
Publisher : Springer Nature
ISBN 13 : 3030757854
Total Pages : 677 pages
Book Rating : 4.0/5 (37 download)
Download or read book Felix Klein written by Renate Tobies and published by Springer Nature. This book was released on 2021-06-23 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: About Felix Klein, the famous Greek mathematician Constantin Carathéodory once said: “It is only by illuminating him from all angles that one can come to understand his significance.” The author of this biography has done just this. A detailed study of original sources has made it possible to uncover new connections; to create a more precise representation of this important mathematician, scientific organizer, and educational reformer; and to identify misconceptions. Because of his edition of Julius Plücker’s work on line geometry and due to his own contributions to non-Euclidean geometry, Klein was already well known abroad before he received his first full professorship at the age of 23. By exchanging ideas with his most important cooperation partner, the Norwegian Sophus Lie, Klein formulated his Erlangen Program. Various other visionary programs followed, in which Klein involved mathematicians from Germany and abroad. Klein was the most active promoter of Riemann’s geometric-physical approach to function theory, but he also integrated the analytical approaches of the Weierstrass school into his arsenal of methods. Klein was a citizen of the world who repeatedly travelled to France, Great Britain, Italy, the United States, and elsewhere. Despite what has often been claimed, it must be emphasized that Klein expressly opposed national chauvinism. He promoted mathematically gifted individuals regardless of their nationality, religion, or gender. Many of his works have been translated into English, French, Italian, Russian, and other languages; more than 300 supporters from around the world made it possible for his portrait to be painted by the prominent impressionist Max Liebermann. Inspired by international developments, Klein paved the way for women to work in the field of mathematics. He was instrumental in reforming mathematical education, and he endorsed an understanding of mathematics that affirmed its cultural importance as well as its fundamental significance to scientific and technological progress.
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540495533
Total Pages : 368 pages
Book Rating : 4.5/5 (44 download)
Download or read book Ernst Zermelo written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2007-06-02 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This biography attempts to shed light on all facets of Zermelo's life and achievements. Personal and scientific aspects are kept separate as far as coherence allows, in order to enable the reader to follow the one or the other of these threads. The presentation of his work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from unpublished notes and letters add to the analysis.
Author : A. Schutz
Publisher : Springer Science & Business Media
ISBN 13 : 9401028583
Total Pages : 461 pages
Book Rating : 4.4/5 (1 download)
Download or read book Gesammelte Aufsätze written by A. Schutz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Im vorliegenden Band ist eine Reihe von Aufsätzen zusam mengefasst, in denen Alfred Schütz sich bei der Behandlung ver schiedener Fragen immer wieder einem der wichtigsten philoso phischen Probleme zuwendet: dem Problem der Sozialität. Der Grossteil dieser Aufsätze ist bereits anderenorts erschienen: doch sind sie weit verstreut und oft schwer zugänglich. Alfred Schütz hatte Maurice Natanson, seinen Schüler und Freund, als Heraus geber der zahlreichen Schriften, die seit seiner Ankunft in den Vereinigten Staaten Anfang des 2. Weltkriegs entstanden sind, vorgesehen. Er konnte die Verwirklichung dieses Vorhabens nicht mehr miterleben. Die Herausgabe seiner Schriften, die wir mit diesem Band in getreuer Befolgung seiner Anweisungen beginnen, soll einen Denker, dem wir freundschaftlich verbunden waren, in angemessener Weise ehren und dazu beitragen, seine hervor ragende Bedeutung für die Phänomenologie herauszustellen - eine Bedeutung, die auf Grund der dramatischen Umstände seines Lebens und wegen seiner grossen Bescheidenheit zu seinen Lebzeiten nicht hinreichend gewürdigt wurde. Ich möchte hier von Schütz als Menschen sprechen und die Feinsinnigkeit seines Geistes darstellen, seine durchdringende Ironie, die Gelassenheit und seinen Mut in der Emigration, den weiten Bereich seiner Interessen, seine jugendhafte Begeisterung und das Einfühlungsvermögen, das ihn befähigte, sich noch im Alter von 40 Jahren in eine neue Kulturwelt einzuleben - und sich in ihr auszuzeichnen. In der Befürchtung, nicht alles sagen zu können, was zu sagen wäre, bezw.
Author : René Respondek
Publisher : GRIN Verlag
ISBN 13 : 3640864190
Total Pages : 41 pages
Book Rating : 4.6/5 (48 download)
Download or read book Chaos - A Geometry of Nature written by René Respondek and published by GRIN Verlag. This book was released on 2011 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studienarbeit aus dem Jahr 2005 im Fachbereich Mathematik - Geometrie, Note: 1,3, Universität Osnabrück, Veranstaltung: Seminar: Chaos - Making a new science, 17 Quellen im Literaturverzeichnis, Sprache: Deutsch, Abstract: Es liegt in der Natur des Menschen, komplizierte Sachverhalte zu hinterfragen und zu verstehen. So beschäftigen sich Wissenschaftler seit Jahrhunderten damit, ihre Umwelt und vor allem dort auftauchende, scheinbar chaotische Systeme in eine geordnete und verständliche Struktur zu bringen. Ein Beispiel hierfür ist die über zweitausend Jahre gültige Euklidische Geometrie, die als Standardgeometrie ein Bestandteil der klassischen Mathematik ist und unter anderem unsere Umwelt in ein ganzzahlig dimensionales System einordnet. Sie ermöglicht z. B. Daten mittels grafischer Instrumente aufzuarbeiten, zu veranschaulichen und daraus folgend besser analysieren bzw. verstehen zu können. Der Wissenschaftler Benoit Mandelbrot hat seit den sechziger Jahren mit seinen wissenschaftlichen Forschungen und seiner Gabe, Muster und Formen intuitiv zu erfassen, ein neues Gebiet der Geometrie erschlossen, das sich auf Grenzen der euklidischen Dimension bezieht. Ausgangspunkt hierfür waren Überlegungen über eine bis dahin vollkommen neue Ansicht der geometrischen Welt. Diese zeigt sich in Gebilden mathematischer Monster wie der Koch Kurve, deren Dimensionen nach Mandelbrot den "fraktalen Dimensionen" zugeordnet werden. Inwiefern Mandelbrots Erkenntnisse die bis dahin gültige Wissenschaft revolutionierte und der Wissenschaft bis zum heutigen Zeitpunkt neue, leistungsfähige Methoden bereitstellt, wird in den folgenden Kapiteln betrachtet. Zunächst wird in Kapitel 2 auf die Geschichte, die Euklidische Geometrie und ihre Grenzen eingegangen. In Kapitel 3 wird die fraktale Geometrie bzw. die gebrochenzahlige Dimension sowie die Koch Kurve dargestellt, wobei insbesondere das Wesen einer Küstenlinie näher analysiert wird. Zudem wird auf den Begriff der Selbstähnlichkeit eingega
Author : Richard Moritz
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (758 download)
Download or read book Mathematik ohne Grenzen written by Richard Moritz and published by . This book was released on 1991 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.:/5 (334 download)
Download or read book Ergebnisse der Mathematik und ihrer Grenzgebiete written by and published by . This book was released on 1932 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Vaihinger
Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.F/5 ( download)
Download or read book Kant-Studien written by Hans Vaihinger and published by . This book was released on 1922 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1904-26 (includes lists of members)
Author : William Bragg Ewald
Publisher : OUP Oxford
ISBN 13 : 0191523100
Total Pages : 710 pages
Book Rating : 4.1/5 (915 download)
Download or read book From Kant to Hilbert Volume 2 written by William Bragg Ewald and published by OUP Oxford. This book was released on 2005-04-21 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.
Author : Werner DePauli-Schimanovich
Publisher : Werner DePauli-Schimanovich
ISBN 13 : 385487815X
Total Pages : 571 pages
Book Rating : 4.8/5 (548 download)
Download or read book Kurt Gödel und die mathematische Logik written by Werner DePauli-Schimanovich and published by Werner DePauli-Schimanovich. This book was released on 2005 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolf Steiner
Publisher : Rudolf Steiner Press
ISBN 13 : 1855843803
Total Pages : 357 pages
Book Rating : 4.8/5 (558 download)
Download or read book PHYSIOLOGY AND HEALING written by Rudolf Steiner and published by Rudolf Steiner Press. This book was released on 2013-11-21 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘The intention is to take a practical subject and show how our spiritual science with anthroposophical orientation truly can play an effective role in everyday life.’ – Rudolf Steiner Following his first major lecture course for medical practitioners, Rudolf Steiner sought to elaborate and deepen his ‘extension’ of the art of healing from a spiritual-scientific perspective. In this collection of addresses, discussions, question-and-answer sessions and lectures – running parallel to his major medical cycles – Steiner comments on contemporary medicine’s emphasis on experimental, materially-based research and its subsequent lack of attention to therapy. Steiner’s intention is not to detract from developments in medical science but to build on them with spiritual science – not quackery but a true art of medicine. The medical practitioner has an important task: diseases must be cured, and it is wrong not to intervene and simply to allow ‘karma to take its course’. Speaking to audiences ranging from members of the general public to small groups of medical professionals, Steiner offers new insights into our understanding of human organs such as the brain, kidneys and liver, as well as the efficacy of healing substances including arsenic, sulphur, arnica and essential plant oils. He studies a broad range of specific medical conditions, giving advice on cancer, hysteria, rheumatism, gout, skin eruptions, typhoid, diabetes, haemophilia, syphilis, gonorrhoea, asthma, glaucoma, leukaemia, smallpox, insomnia, and childhood diseases such as measles. His commentaries on a raft of contrasting subjects – such as psychiatry, sexual maturity, memory, poisoning and detoxification – present challenging perspectives for patients and medical practitioners. Steiner’s surprisingly non-dogmatic advice on vaccination, for example, gives a refreshingly balanced, and perhaps unexpected, point of view. This volume also includes a lecture on eurythmy therapy, a comprehensive introduction, index and notes, and nine full colour plates of Rudolf Steiner’s blackboard drawings.
Author :
Publisher :
ISBN 13 :
Total Pages : 1162 pages
Book Rating : 4.:/5 (6 download)
Download or read book Review of world economics written by and published by . This book was released on 1927 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.0/5 (57 download)
Download or read book Journal für die reine und angewandte Mathematik written by and published by . This book was released on 1856 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Achim Müller
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)
Download or read book From Simplicity to Complexity in Chemistry--and Beyond written by Achim Müller and published by . This book was released on 1996 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eckart Menzler-Trott
Publisher : American Mathematical Soc.
ISBN 13 : 1470428121
Total Pages : 466 pages
Book Rating : 4.4/5 (74 download)
Download or read book Logic's Lost Genius written by Eckart Menzler-Trott and published by American Mathematical Soc.. This book was released on 2016-05-05 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.
Author : Immanuel Kant
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.U/5 (183 download)
Download or read book Werke written by Immanuel Kant and published by . This book was released on 1911 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
