Our Cultural Heritage

Author: Audun Holme

Publisher: Springer Science & Business Media

ISBN: 9783642144417

Category: Mathematics

Page: 519

View: 2125

This is a revised edition of the ?rst printing which appeared in 2002. The book is based on lectures at the University of Bergen, Norway.Over the years these lectures have covered many different aspects and facets of the wonderful ?eld of geometry. Consequently it has never been possible to give a full and ?nal account of geometry as such, at an undergraduatelevel: A carefully consideredselection has always been necessary. The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too oftenthe textsdealingwith geometrywhichgo intothe syllabusforteacher-students present the material in ways which appear pedantic and formalistic, suppressing the very powerful and dynamic character of this old ?eld, which at the same time so young. Geometry is a ?eld of mathematical insight, research, history and source of artistic inspiration. And not least important, an integral part of our common cultural heritage.
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Our Cultural Heritage

Author: Audun Holme

Publisher: Springer Science & Business Media

ISBN: 3662047209

Category: Mathematics

Page: 378

View: 965

Mathematics is more important than ever, but phrases like "math avoidance" and "math anxiety" are very much in the public vocabulary. In addition to providing an invitation to mathematics in general, this book emphasizes the dynamic character of geometry and its role as part of the foundation for our cultural heritage. Aimed at an informed public and future teachers of mathematics, it seeks to heal the ills of math phobia in society.
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Author: Audun Holme

Publisher: Springer Science & Business Media

ISBN: 9783642192258

Category: Mathematics

Page: 366

View: 2635

This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!
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Eine Geschichte der griechischen Mathematik, ihrer Probleme und Lösungen

Author: Dietmar Herrmann

Publisher: Springer-Verlag

ISBN: 3642376126

Category: Mathematics

Page: 444

View: 7489

Der Band enthält eine umfassende und problemorientierte Darstellung der antiken griechischen Mathematik von Thales bis zu Proklos Diadochus. Enzyklopädisch wird ein Querschnitt durch die griechische Mathematik geboten, wobei auch solche Werke von Wissenschaftlern ausführlich gewürdigt werden, von denen keine deutsche Übersetzung vorliegt. Zahlreiche Abbildungen und die Einbeziehung des kulturellen, politischen und literarischen Umfelds liefern ein großartiges Spektrum der mathematischen Wissenschaftsgeschichte und eine wahre Fundgrube für diejenigen, die biographisches und zeitgeschichtliches Hintergrundwissen suchen oder Anregungen für Unterricht bzw. Vorlesung. Die Darstellung ist aktuell und realisiert Tendenzen neuerer Geschichtsschreibung. Zahlreiche Hinweise auf das Nachwirken der griechischen Mathematik und eine umfangreiche Bibliografie ermöglichen eine individuelle Vertiefung des Textes.
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Geschichte, Kulturen, Menschen

Author: Christoph J. Scriba,Peter Schreiber

Publisher: Springer-Verlag

ISBN: 3540271864

Category: Mathematics

Page: 630

View: 6405

Lange bevor die Schrift entwickelt wurde, hat der Mensch geometrische Strukturen wahrgenommen und systematisch verwendet: ob beim Weben oder Flechten einfacher zweidimensionaler Muster oder beim Bauen mit dreidimensionalen Körpern. Das Buch liefert einen faszinierenden Überblick über die geometrischen Vorstellungen und Erkenntnisse der Menschheit von der Urgesellschaft bis hin zu den mathematischen und künstlerischen Ideen des 20. Jahrhunderts.
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Author: Gerard Venema

Publisher: Prentice Hall

ISBN: 9780131437005

Category: Mathematics

Page: 432

View: 3726

This text comfortably serves as a bridge between lower-level mathematics courses (calculus and linear algebra) and upper-level courses (real analysis and abstract algebra). It fully implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers. Foundations of Geometry particularly teaches good proof-writing skills, emphasises the historical development of geometry, and addresses certain issues concerning the place of geometry in human culture.
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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4543

Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.
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ein Streifzug durch die Geometrie und ihre Geschichte

Author: Günter Aumann

Publisher: N.A

ISBN: 9783534189328

Category: Geometry

Page: 223

View: 3012

Betr. die Eulers Polyederformel (S. 85-88).
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Author: N.A

Publisher: N.A

ISBN: 9780716601074

Category: Encyclopedias and dictionaries

Page: N.A

View: 9858

An encyclopedia designed especially to meet the needs of elementary, junior high, and senior high school students.
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Author: Rachel P. Keniston,Jean Tully

Publisher: N.A

ISBN: N.A

Category: Geometry, Plane

Page: 392

View: 7955

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Author: Mathematical Association of America. Committee on the Undergraduate Program in Mathematics

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3685

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A Roadmap in Digital Heritage Preservation

Author: Marinos Ioannides,Ewald Quak

Publisher: Springer

ISBN: 3662446308

Category: Computers

Page: 143

View: 7148

This book contains selected contributions from some of the most renowned researchers in the field of Digital Heritage and 3D representation of the Past, based in large part on invited presentations from the workshop “Computational Geometry and Ontologies for Cultural Heritage 3D Digital Libraries: What are the future alternatives for Europeana?” which was held in conjunction with the International Conference on Cultural Heritage EuroMed2012 (www.euromed2012.eu) on the island of Cyprus in October 2012. This was the official event of the Cyprus Presidency of the Council of the European Union on Progress in Cultural Heritage Preservation. The aim of this book is to provide an insight to ongoing research and future directions in this novel, continuously very promising and multi-disciplinary evolving field, which lies at the intersection of digital heritage, engineering, computer science, mathematics, material science, architecture, civil engineering and archaeology.
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15th IAPR International Conference, DGCI 2009, Montréal, Canada, September 30 - October 2, 2009, Proceedings

Author: Christophe Reutenauer

Publisher: Springer Science & Business Media

ISBN: 3642043968

Category: Computers

Page: 540

View: 4737

Held for the ?rst time outside Europe, the 15th International Conference on DiscreteGeometryforComputer ImagerytookplaceinMontr eal(Canada)from September30toOctober2,2009.Thisconferenceaddressedalargeinternational audience: 61 papers were submitted originating from 14 di?erent countries. Following a thorough reviewing process, remodeled for the previous conf- ence held in Lyon, 42 papers were accepted and scheduled for either oral (21) or poster presentation (21). All these papers appear in these proceedings, and whether a paper was presented orally or not was based on our appreciation of suitability rather than on ranking. As discrete geometry is emerging as a theory from groundwork in automated representationandprocessingofdigitizedobjects, weinvited threedistinguished speakersof internationalrenown: Val erieBerth efrom the LIRMM (Montpellier) gave an account on discrete planes from the point of view of combinatorics on words, with relations to number theory and in particular multidimensional continued fractions. Anders Kock, whose research is mostly in category theory, contributed to the development of what is known as synthetic di?erential - ometry. The basis of the theory is the fact that classical di?erential calculus can be lifted in algebraicgeometry where the limit process does not exist: this is achievedby enrichingthe a?neline R within?nitesimals - nilpotentelements in this case-thataredistinct fromthein?nitesimals innon-standardanalysis.The research of Pierre Gauthier focuses on mathematical modeling of the climate. Modeling the atmosphere is necessary for numerical weather prediction (NWP), and the theoretical background for addressing the problem is based on ?uid - namics governed by the Navier-Stokes equations, thermodynamic relationships, and numerous other processes that in?uence its dynamics.
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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 2226

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Analysis, Restoration, and Reconstruction of Ancient Artworks

Author: Filippo Stanco,Sebastiano Battiato,Giovanni Gallo

Publisher: CRC Press

ISBN: 1439821747

Category: Computers

Page: 523

View: 3633

This edition presents the most prominent topics and applications of digital image processing, analysis, and computer graphics in the field of cultural heritage preservation. The text assumes prior knowledge of digital image processing and computer graphics fundamentals. Each chapter contains a table of contents, illustrations, and figures that elucidate the presented concepts in detail, as well as a chapter summary and a bibliography for further reading. Well-known experts cover a wide range of topics and related applications, including spectral imaging, automated restoration, computational reconstruction, digital reproduction, and 3D models.
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Author: Vagn Lundsgaard Hansen

Publisher: A K Peters Ltd

ISBN: 9781568810058

Category: Mathematics

Page: 238

View: 2876

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Research-based guidance for ages 9-19

Author: Anne Watson,Keith Jones,Dave Pratt

Publisher: OUP Oxford

ISBN: 0191643424

Category: Mathematics

Page: 272

View: 1651

Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.
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