Geometry

Our Cultural Heritage

Author: Audun Holme

Publisher: Springer Science & Business Media

ISBN: 3662047209

Category: Mathematics

Page: 378

View: 1159

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.
Posted in Mathematics

A Royal Road to Algebraic Geometry

Author: Audun Holme

Publisher: Springer Science & Business Media

ISBN: 9783642192258

Category: Mathematics

Page: 366

View: 7083

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!
Posted in Mathematics

Die antike Mathematik

Eine Geschichte der griechischen Mathematik, ihrer Probleme und Lösungen

Author: Dietmar Herrmann

Publisher: Springer-Verlag

ISBN: 3642376126

Category: Mathematics

Page: 444

View: 4676

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.
Posted in Mathematics

5000 Jahre Geometrie

Geschichte Kulturen Menschen

Author: Christoph J. Scriba,Peter Schreiber

Publisher: Springer-Verlag

ISBN: 3662045001

Category: Mathematics

Page: 596

View: 5052

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.
Posted in Mathematics

The Foundations of Geometry

Author: Gerard Venema

Publisher: Prentice Hall

ISBN: 9780131437005

Category: Mathematics

Page: 432

View: 7262

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.
Posted in Mathematics

International Mathematical News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6441

Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.
Posted in Mathematics

Euklids Erbe

ein Streifzug durch die Geometrie und ihre Geschichte

Author: Günter Aumann

Publisher: N.A

ISBN: 9783534189328

Category: Geometry

Page: 223

View: 9978

Betr. die Eulers Polyederformel (S. 85-88).
Posted in Geometry

The World Book Encyclopedia

Author: N.A

Publisher: N.A

ISBN: 9780716601074

Category: Encyclopedias and dictionaries

Page: N.A

View: 5140

An encyclopedia designed especially to meet the needs of elementary, junior high, and senior high school students.
Posted in Encyclopedias and dictionaries

Plane Geometry

Author: Rachel P. Keniston,Jean Tully

Publisher: N.A

ISBN: N.A

Category: Geometry, Plane

Page: 392

View: 2446

Posted in Geometry, Plane

High School Geometry

Author: Rachel P. Keniston,Jean Tully

Publisher: N.A

ISBN: N.A

Category: Geometry

Page: 474

View: 2978

Posted in Geometry

MAA notes

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

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2709

Posted in Mathematics

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 5661

Posted in Mathematics

3D Research Challenges in Cultural Heritage

A Roadmap in Digital Heritage Preservation

Author: Marinos Ioannides,Ewald Quak

Publisher: Springer

ISBN: 3662446308

Category: Computers

Page: 143

View: 4473

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.
Posted in Computers

Discrete Geometry for Computer Imagery

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: 8831

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.
Posted in Computers

Choice

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 896

Posted in Best books

Digital Imaging for Cultural Heritage Preservation

Analysis, Restoration, and Reconstruction of Ancient Artworks

Author: Filippo Stanco,Sebastiano Battiato,Giovanni Gallo

Publisher: CRC Press

ISBN: 1439821747

Category: Computers

Page: 523

View: 6523

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.
Posted in Computers

Mathematics, our great heritage

essays on the nature and cultural significance of mathematics

Author: William Leonard Schaaf

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 291

View: 3107

Posted in Mathematics

Geometry in nature

Author: Vagn Lundsgaard Hansen

Publisher: A K Peters Ltd

ISBN: 9781568810058

Category: Mathematics

Page: 238

View: 6580

Posted in Mathematics

Schönheit der Geometrie

Author: Miranda Lundy

Publisher: N.A

ISBN: 9783538073074

Category:

Page: 63

View: 3985

Posted in