Author: Renate Tobies
Publisher: Springer Nature
ISBN: 3030757854
Category : Mathematics
Languages : en
Pages : 677
Book Description
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.
Felix Klein
Author: Renate Tobies
Publisher: Springer Nature
ISBN: 3030757854
Category : Mathematics
Languages : en
Pages : 677
Book Description
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.
Publisher: Springer Nature
ISBN: 3030757854
Category : Mathematics
Languages : en
Pages : 677
Book Description
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.
Ernst Zermelo
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
ISBN: 3540495533
Category : Mathematics
Languages : en
Pages : 368
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3540495533
Category : Mathematics
Languages : en
Pages : 368
Book Description
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.
Gesammelte Aufsätze
Author: A. Schutz
Publisher: Springer Science & Business Media
ISBN: 9401028583
Category : Social Science
Languages : en
Pages : 461
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9401028583
Category : Social Science
Languages : en
Pages : 461
Book Description
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.
Ergebnisse der Mathematik und ihrer Grenzgebiete
Kant-Studien
Author: Hans Vaihinger
Publisher:
ISBN:
Category : Electronic journals
Languages : de
Pages : 600
Book Description
1904-26 (includes lists of members)
Publisher:
ISBN:
Category : Electronic journals
Languages : de
Pages : 600
Book Description
1904-26 (includes lists of members)
Kurt Gödel und die mathematische Logik
Author: Werner DePauli-Schimanovich
Publisher: Werner DePauli-Schimanovich
ISBN: 385487815X
Category : Logic, Symbolic and mathematical
Languages : de
Pages : 571
Book Description
Publisher: Werner DePauli-Schimanovich
ISBN: 385487815X
Category : Logic, Symbolic and mathematical
Languages : de
Pages : 571
Book Description
Logic's Lost Genius
Author: Eckart Menzler-Trott
Publisher: American Mathematical Soc.
ISBN: 1470428121
Category : Mathematics
Languages : en
Pages : 466
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 1470428121
Category : Mathematics
Languages : en
Pages : 466
Book Description
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.
Journal für die reine und angewandte Mathematik
Review of world economics
From Kant to Hilbert Volume 2
Author: William Bragg Ewald
Publisher: OUP Oxford
ISBN: 0191523100
Category : Mathematics
Languages : en
Pages : 710
Book Description
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.
Publisher: OUP Oxford
ISBN: 0191523100
Category : Mathematics
Languages : en
Pages : 710
Book Description
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.