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  • Hasse, Helmut  (7)
  • Britton, Edward D.  (4)
  • Safari, an O’Reilly Media Company.
  • Mathematics  (13)
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  • 1
    ISBN: 9783863952532
    Sprache: Deutsch
    Seiten: 1 Online-Ressource
    Schlagwort(e): Mathematics
    Kurzfassung: Arnold Scholz (1906-1941) war einer der vielversprechendsten jungen Zahlentheoretiker in den 1930er Jahren, einer der besten Kenner der Klassenkörpertheorie. Als Doktorand von Issai Schur war er auch mit gruppentheoretischen Methoden vertraut. Da er während des Dritten Reichs als politisch nicht zuverlässig galt (er war ein enger Freund des ebenfalls „suspekten“ Ernst Zermelo), konnte er keine sichere Stelle finden. Trotzdem gelang es ihm, eine Reihe wichtiger Resultate zu erhalten, u.a. bei der Realisierung von Galoisgruppen und in der Theorie der Normenreste. Der zu einem klaren Verständnis dieser Ergebnisse notwendige kohomologische Apparat war damals noch nicht entwickelt, und daher konnten zunächst nur Wenige mit den Scholzschen Ideen etwas anfangen. Eine Reihe seiner Resultate wurden später wiederentdeckt. Schafarewitsch konnte mit Hilfe der Scholzschen Methoden zeigen, dass jede endliche auflösbare Gruppe als Galoisgruppe einer Erweiterung der rationalen Zahlen vorkommt. Das vorliegende Buch, das als erster Schritt zu einem besseren Verständnis des Werks von Arnold Scholz anzusehen ist, enthält die Korrespondenz zwischen Arnold Scholz und Helmut Hasse einerseits und Olga Taussky andererseits, soweit sie in den Archiven der Universität Göttingen und des California Institute of Technology in Pasadena erhalten sind. Auch die Korrespondenz zwischen Hasse und Taussky bis zum frühen Tod von Arnold Scholz wurde aufgenommen
    Kurzfassung: Arnold Scholz (1906-1941) war einer der vielversprechendsten jungen Zahlentheoretiker in den 1930er Jahren, einer der besten Kenner der Klassenkörpertheorie. Als Doktorand von Issai Schur war er auch mit gruppentheoretischen Methoden vertraut. Da er während des Dritten Reichs als politisch nicht zuverlässig galt (er war ein enger Freund des ebenfalls „suspekten“ Ernst Zermelo), konnte er keine sichere Stelle finden. Trotzdem gelang es ihm, eine Reihe wichtiger Resultate zu erhalten, u.a. bei der Realisierung von Galoisgruppen und in der Theorie der Normenreste. Der zu einem klaren Verständnis dieser Ergebnisse notwendige kohomologische Apparat war damals noch nicht entwickelt, und daher konnten zunächst nur Wenige mit den Scholzschen Ideen etwas anfangen. Eine Reihe seiner Resultate wurden später wiederentdeckt. Schafarewitsch konnte mit Hilfe der Scholzschen Methoden zeigen, dass jede endliche auflösbare Gruppe als Galoisgruppe einer Erweiterung der rationalen Zahlen vorkommt. Das vorliegende Buch, das als erster Schritt zu einem besseren Verständnis des Werks von Arnold Scholz anzusehen ist, enthält die Korrespondenz zwischen Arnold Scholz und Helmut Hasse einerseits und Olga Taussky andererseits, soweit sie in den Archiven der Universität Göttingen und des California Institute of Technology in Pasadena erhalten sind. Auch die Korrespondenz zwischen Hasse und Taussky bis zum frühen Tod von Arnold Scholz wurde aufgenommen
    Anmerkung: German
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  • 2
    Online-Ressource
    Online-Ressource
    [Erscheinungsort nicht ermittelbar] : Universitätsverlag Göttingen
    Sprache: Deutsch
    Seiten: 1 Online-Ressource
    Schlagwort(e): Mathematics
    Anmerkung: German
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  • 3
    Online-Ressource
    Online-Ressource
    [Erscheinungsort nicht ermittelbar] : CRC Press | Boston, MA : Safari
    Sprache: Englisch
    Seiten: 1 online resource (733 pages)
    Ausgabe: 1st edition
    Schlagwort(e): Mathematics ; Science ; Electronic books ; local
    Kurzfassung: Despite a number of books on biophotonics imaging for medical diagnostics and therapy, the field still lacks a comprehensive imaging book that describes state-of-the-art biophotonics imaging approaches intensively developed in recent years. Addressing this shortfall, Advanced Biophotonics: Tissue Optical Sectioning presents contemporary methods and applications of biophotonics imaging. Gathering research otherwise scattered in numerous physical, chemical, biophysical, and biomedical journals, the book helps researchers, bioengineers, and medical doctors understand major recent bioimaging technologies and the underlying biophotonics science. Well-known international experts explore a variety of "hot" biomedical optics and biophotonics problems, including the use of photoacoustic imaging to investigate the molecular and cellular processes in living systems. The book also covers Monte Carlo modeling, tissue optics and tissue optical clearing, nonlinear optical microscopy, various aspects of optical coherence tomography, multimodal tomography, adaptive optics, and signal imaging. With 58 color images, this book represents a valuable contribution to the biomedical and biophotonics literature. Designed for researchers and practitioners in biophotonics, the book is also a useful resource for scientists in laser physics and technology, fiber optics, spectroscopy, materials science, biology, and medicine as well as students studying biomedical physics and engineering, biomedical optics, and biophotonics.
    Anmerkung: Online resource; Title from title page (viewed July 23, 2013) , Mode of access: World Wide Web.
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  • 4
    ISBN: 9783863950729
    Sprache: Deutsch
    Seiten: 1 Online-Ressource
    Schlagwort(e): Diaries, letters & journals ; Mathematics ; History of mathematics
    Kurzfassung: This book contains the full text of the mathematical notebooks of Helmut Hasse (1898-1979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse‘s mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse‘s discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin‘s conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after corresponding with Harold Davenport
    Kurzfassung: This book contains the full text of the mathematical notebooks of Helmut Hasse (1898-1979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse‘s mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse‘s discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin‘s conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after corresponding with Harold Davenport
    Anmerkung: German
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  • 5
    Online-Ressource
    Online-Ressource
    [Erscheinungsort nicht ermittelbar] : CRC Press | Boston, MA : Safari
    Sprache: Englisch
    Seiten: 1 online resource (250 pages)
    Ausgabe: 1st edition
    Schlagwort(e): Mathematics ; Science ; Electronic books ; local
    Kurzfassung: This book provides an extensive overview of utility scale solar project development and the various tasks required to bring large solar power plants from plans to realities. The various topics have been organized and presented in a way to clearly define important development fundamentals including basic business and legal considerations. The reader is also guided through the more complex aspects of renewable energy development such as how to choose the ideal project site. Further, while the book is appropriate for a cover to cover read-through it is also designed to be an excellent go-to reference, a HANDBOOK FOR RENEWABLE ENERGY DEVELOPMENT. Edited by: Albie Fong and Jesse Tippett with contributions from: Arturo Alvarez, Jeffery Atkin, William DuFour III, Perry Fontana, William Hugron, Jason Keller, Tyler M. Kropf, Michael Mendelsohn, Brett Prior, Scott Reynolds, Pilar Rodriguez-Ibáñez, Katherine Ryzhaya Poster and Alfonso Tovar ELECTRONIC ENHANCEMENTS The book’s companion website http://www.solarbookteam.com provides contact information for all authors to the book and access to the key resources highlighted in the text. This tailored media platform provides supplemental and exclusive information that is up-to-date with the present state of the solar industry.
    Anmerkung: Online resource; Title from title page (viewed December 5, 2012) , Mode of access: World Wide Web.
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  • 6
    Online-Ressource
    Online-Ressource
    [Erscheinungsort nicht ermittelbar] : Universitätsverlag Göttingen
    Sprache: Deutsch
    Seiten: 1 Online-Ressource
    Schlagwort(e): Mathematics ; History of mathematics ; Diaries, letters & journals
    Kurzfassung: This book contains the full text of the mathematical notebooks of Helmut Hasse (1898-1979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse‘s mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse‘s discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin‘s conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after corresponding with Harold Davenport
    Anmerkung: German
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 7
    Sprache: Deutsch
    Seiten: 1 Online-Ressource
    Schlagwort(e): Mathematics ; Science: general issues ; History of mathematics
    Kurzfassung: This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin‘s letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin‘s L-series and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse‘s mathematical letters and notes contained in the Göttingen Handschriftenabteilung
    Anmerkung: German
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  • 8
    ISBN: 3938616350 , 9783938616352
    Sprache: Deutsch
    Seiten: 1 Online-Ressource
    Schlagwort(e): Mathematics ; History of mathematics ; Science: general issues ; History of science
    Kurzfassung: This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noether's sudden death in 1935. The correspondence reflects a crucial period in the development of 20th century algebra and number theory, in particular class field theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noether's style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse - Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous cross-references, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
    Kurzfassung: This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noether's sudden death in 1935. The correspondence reflects a crucial period in the development of 20th century algebra and number theory, in particular class field theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noether's style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse - Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous cross-references, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
    Anmerkung: German
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 9
    Online-Ressource
    Online-Ressource
    [Erscheinungsort nicht ermittelbar] : Universitätsverlag Göttingen
    Sprache: Deutsch
    Seiten: 1 Online-Ressource
    Schlagwort(e): Science: general issues ; Mathematics ; History of mathematics ; History of science
    Kurzfassung: This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noether's sudden death in 1935. The correspondence reflects a crucial period in the development of 20th century algebra and number theory, in particular class field theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noether's style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse - Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous cross-references, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
    Anmerkung: German
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 10
    ISBN: 9780306472091
    Sprache: Englisch
    Seiten: Online-Ressource , v.: digital
    Ausgabe: Online-Ausg. Springer-11648
    Ausgabe: Springer eBook Collection. Humanities, Social Science and Law
    Paralleltitel: Erscheint auch als
    Paralleltitel: Erscheint auch als
    Paralleltitel: Erscheint auch als
    Schlagwort(e): Education ; Mathematics ; Science Study and teaching ; Science education. ; Comparative Education ; International education . ; Mathematics—Study and teaching . ; Science—Study and teaching.
    Kurzfassung: Unfocused Curricula -- U.S. Textbooks: Conflicting Demands, Cautious Visions -- U.S. Teachers: Responding to Splintered Visions -- How Has Our Vision Become So Splintered? -- So What Can We Expect from U.S. Students? -- Open Questions: How Do We Get Where We Want to Go?.
    Kurzfassung: A Splintered Vision: An Investigation of U.S. Science and Mathematics Education is the US report on the curriculum analysis component of the Third International Mathematics and Science Study (TIMSS) which was sponsored by the International Association for the Evaluation of Educational Achievement (IEA). The report summarizes data from the TIMSS curriculum analysis and integrates it with teacher questionnaire data from the US, Japan, and Germany on science and mathematics topic coverage and instructional practices. The authors of A Splintered Vision discuss and provide evidence of the unfocused nature of US mathematics and science curricular intentions, textbooks, and teacher practices. They offer the premise that producers of US textbooks and curriculum guides have attempted to answer calls for curricular reform by adding new content to already existing materials instead of devoting time to restructuring the materials. The authors also suggest that US teachers, inundated with a myriad of competing visions, are attempting to cover all the topics they confront in their resource documents and to meet all the instructional demands placed on them by those with a stake in education. In keeping with the `incremental assembly line' philosophy in American society, US teachers also tend to lean toward a piecemeal approach to education. The authors speculate on what such practices may mean for the mathematics and science achievement of US students. The work is sure to spur discussion among educational researchers, policy makers, and others concerned about the future of mathematics and science education in the US.
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  • 11
    Online-Ressource
    Online-Ressource
    Dordrecht : Kluwer Academic Publishers
    ISBN: 9780306472060
    Sprache: Englisch
    Seiten: Online-Ressource , v.: digital
    Ausgabe: Online-Ausg. 2009 Springer-11648 Electronic reproduction; Available via World Wide Web
    Ausgabe: Springer eBook Collection. Humanities, Social Science and Law
    Serie: Bold adeventures v. 1
    Paralleltitel: Erscheint auch als
    Paralleltitel: Erscheint auch als
    Schlagwort(e): Education ; Mathematics ; Science Study and teaching ; Science education. ; Assessment. ; Educational tests and measurements ; Mathematics—Study and teaching . ; Science—Study and teaching.
    Kurzfassung: Study Background -- The General Context for Reform -- The Changing Conceptions of Science, Mathematics, and Instruction -- The Changing Roles of Teachers -- The Changing Conceptions of Reform -- Underplayed Issues -- Assessing the Implementation of Innovations in Mathematics and Science Education -- Coda: New Paths for Bold Ventures.
    Kurzfassung: This book, based on detailed studies of eight innovations in mathematics and science education, has many insights to offer on current school reform. Since each innovation studied has taken its own unique approach, the set as a whole spans the spectrum from curriculum development to systemic reform, from c- centrating on particular school populations to addressing all of K-12 education. Yet these reform projects share a common context, a world view on what m- ters in science and mathematics for students of the 1990s and beyond, conv- tions about what constitutes effective instruction, and some notions about how school change can be brought about. These commonalities are drawn out in the book and illustrated with examples from the individual case studies that are reportedin full in BoldVentures, Volumes 2 and 3. The eight innovations—all of them projects that are well-known, at least by name, to U. S. audiences—are briefly described in chapter 1. Each was the s- ject of an in-depth, three-year case study. The research teams analyzed many documents, attended numerous project meetings, visited multiple sites, condu- ed dozens of individual interviews. The team leaders, having spent much time with mathematics or science education over long careers, looked at these reform projects through several lenses; the teams sifted through the mountains of data they had collected in order to tell the story of each project in rich detail.
    Anmerkung: Includes bibliographical references and indexes , Electronic reproduction; Available via World Wide Web
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  • 12
    ISBN: 9780306472084
    Sprache: Englisch
    Seiten: Online-Ressource (v. 〈1-2 〉) , ill
    Ausgabe: Springer eBook Collection. Humanities, Social Sciences and Law
    Schlagwort(e): Education ; Comparative education ; Mathematics ; Science Study and teaching ; International education . ; Comparative education. ; Science—Study and teaching. ; Mathematics—Study and teaching .
    Kurzfassung: Which goals and standards guide science education across the world? This first report of the Third International Mathematics and Science Study (TIMSS) explores this question by examining the rich data collected in the TIMSS Curriculum Analysis. This is a study without precedent in scale or detail. It includes an exhaustive, page-by-page inventory of science content and other pedagogical characteristics collected from hundreds of textbooks and curriculum guides from almost 50 countries. These data document many important features of these countries' mathematics education curricula. The book examines important features of curriculum policy across the TIMSS countries, especially the role of textbooks and curriculum guides. It also portrays similarities and differences in science curricula in the succession of objectives across grades. Additionally, it details characteristics of the science curriculum as embodied in textbooks and curriculum guides intended for select grades. This book will be of interest to anyone concerned with science education standards, curriculum policy, cross-national educational comparisons, and science pedagogy
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  • 13
    Online-Ressource
    Online-Ressource
    Dordrecht : Springer Netherlands
    ISBN: 9789400903395
    Sprache: Englisch
    Seiten: Online-Ressource (XIII, 376 p) , online resource
    Ausgabe: Springer eBook Collection. Humanities, Social Sciences and Law
    Paralleltitel: Erscheint auch als
    Paralleltitel: Erscheint auch als
    Paralleltitel: Erscheint auch als
    Schlagwort(e): Education ; Mathematics ; Science Study and teaching ; Educational tests and measurements ; Science—Study and teaching. ; Mathematics—Study and teaching .
    Kurzfassung: Volume 3 of Bold Ventures provides detailed insights about three notable U.S. innovations in mathematics education: the development, dissemination and use of the National Council of Teachers of Mathematics Standards; a `grassroots' effort by teachers to develop and spread Contemporary Precalculus; and the Urban Mathematics Collaboratives' strategies for meeting the professional development needs of inner-city teachers. These cases were part of the United States participation in the largest cross national case study project ever undertaken
    Beschreibung / Inhaltsverzeichnis: Introduction: Study Background1. Setting the Standards: NCTM’s Role in the Reform of Mathematics Education -- 2. Teaching and Learning Cross-Country Mathematics: A Story of Innovation in Precalculus -- 3. The Urban Mathematics Collaborative Project: A Study of Teacher, Community, and Reform -- Acronyms and Abbreviations.
    URL: Volltext  (lizenzpflichtig)
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