5000 Years of Geometry

5000 Years of Geometry PDF Author: Christoph J. Scriba
Publisher: Birkhäuser
ISBN: 3034808984
Category : Mathematics
Languages : en
Pages : 638

Get Book Here

Book Description
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)

5000 Years of Geometry

5000 Years of Geometry PDF Author: Christoph J. Scriba
Publisher: Birkhäuser
ISBN: 3034808984
Category : Mathematics
Languages : en
Pages : 638

Get Book Here

Book Description
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)

Diagramming the Big Idea

Diagramming the Big Idea PDF Author: Michael T. Swisher
Publisher: Routledge
ISBN: 1136245448
Category : Architecture
Languages : en
Pages : 258

Get Book Here

Book Description
As a beginning design student, you need to learn to think like a designer, to visualize ideas and concepts, as well as objects. In the second edition of Diagramming the Big Idea, Jeffrey Balmer and Michael T. Swisher illustrate how you can create and use diagrams to clarify your understanding of both particular projects and organizing principles and ideas. With accessible, step-by-step exercises that interweave full color diagrams, drawings and virtual models, the authors clearly show you how to compose meaningful and useful diagrams. As you follow the development of the four project groups drawn from the authors’ teaching, you will become familiar with architectural composition concepts such as proportion, site, form, hierarchy and spatial construction. In addition, description and demonstration essays extend concepts to show you more examples of the methods used in the projects. Whether preparing for a desk critique, or any time when a fundamental insight can help to resolve a design problem, this new and expanded edition is your essential studio resource.

Origins, Imitation, Conventions

Origins, Imitation, Conventions PDF Author: James S. Ackerman
Publisher: MIT Press
ISBN: 9780262011860
Category : Art
Languages : en
Pages : 356

Get Book Here

Book Description
Twelve studies by eminent art historian James S. Ackerman. This collection contains studies written by art historian James Ackerman over the past decade. Whereas Ackerman's earlier work assumed a development of the arts as they responded to social, economic, political, and cultural change, his recent work reflects the poststructural critique of the presumption of progress that characterized Renaissance and modernist history and criticism. In this book he explores the tension between the authority of the past—which may act not only as a restraint but as a challenge and stimulus—and the potentially liberating gift of invention. He examines the ways in which artists and writers on art have related to ancestors and to established modes of representation, as well as to contemporary experiences. The "origins" studied here include the earliest art history and criticism; the beginnings of architectural drawing in the Middle Ages and Renaissance; Leonardo Da Vinci's sketches for churches, the first in the Renaissance to propose supporting domes on sculpted walls and piers; and the first architectural photographs. "Imitation" refers to artistic achievements that in part depended on the imitation of forms established in practices outside the fine arts, such as ancient Roman rhetoric and print media. "Conventions," like language, facilitate communication between the artist and viewer, but are both more universal (understood across cultures) and more fixed (resisting variation that might diminish their clarity). The three categories are closely linked throughout the book, as most acts of representation partake to some degree of all three.

The Structure of the Artistic Text

The Structure of the Artistic Text PDF Author: Юрий Михайлович Лотман
Publisher: Michigan Slavic Publications
ISBN:
Category : Foreign Language Study
Languages : en
Pages : 326

Get Book Here

Book Description


Cadet Life at West Point

Cadet Life at West Point PDF Author: Hugh T Reed
Publisher:
ISBN:
Category :
Languages : en
Pages : 158

Get Book Here

Book Description
I was not more than eight years old when I first heard about West Point, and then I was told that it was Uncle Sam's Military School; that the young men there were called cadets; that they were soldiers, and that they wore pretty uniforms with brass buttons on them. The impression made upon me at the time was such that I never tired talking and asking questions about West Point. I soon learned to indicate the site on the map, and I longed to go there, that I might be a cadet and wear brass buttons. I talked about it so much that my good mother made me a coat generous with brass buttons. I called it my cadet coat, and wore it constantly. Ah! for the day I should be a big boy and be a real cadet. With a wooden gun I played soldier, and when the war broke out and the soldiers camped in our old fair grounds, I was in their camp at every opportunity. The camp was about half-way between our home farm and father's store in town, and many is the time I have been scolded for being so much at the camp. My only regret at that time was that I was not old enough to enlist, for I loved to watch the drills and linger around the camp-fires, listening to stories of the war.

The Elements of Coordinate Geometry

The Elements of Coordinate Geometry PDF Author: Sidney Luxton Loney
Publisher:
ISBN:
Category : Coordinates
Languages : en
Pages : 454

Get Book Here

Book Description


West Point

West Point PDF Author: Robert Charlwood Richardson
Publisher:
ISBN:
Category :
Languages : en
Pages : 460

Get Book Here

Book Description


Machining Impossible Shapes

Machining Impossible Shapes PDF Author: Gustav J. Olling
Publisher: Springer Science & Business Media
ISBN: 9780412846809
Category : Technology & Engineering
Languages : en
Pages : 410

Get Book Here

Book Description
On November 9-11, 1998,85 participants, representing 17 countries, gathered in Aubum Hills, Michigan, at the Chrysler Tech Center, to attend a workshop "SSM'98" (or Sculptured Surface Machining '98) organized by IFIP Working Group 5.3. This was the first major workshop on sculptured surface machining since the CAM-I sponsored conference "Machining Impossible Surfaces" held in 1981. The purpose of the SSM'98 workshop, entitled "Machining Impossible Shapes", was to promote a cross-fertilization of ideas among three communities: industrial users, CAM software developers and academic researchers. There were 17 participants who were "industrial users", 15 represented CAM software developers, 4 were from the machine tool industry, with the remainder being academic researchers. The format of the meeting included 40 presentations in 9 sessions, 4 keynote speeches and a sufficient amount of time for informal discussion amongst the participants. One of the most valuable aspects of the workshop was the opportunity for participants to meet informally and to discuss their mutual interests. This led to two "participant organized" sessions on five axis machining and on machine tool controllers.

The Death of Drawing

The Death of Drawing PDF Author: David Ross Scheer
Publisher: Routledge
ISBN: 1317803043
Category : Architecture
Languages : en
Pages : 258

Get Book Here

Book Description
The Death of Drawing explores the causes and effects of the epochal shift from drawing to computation as the chief design and communication medium in architecture. Drawing both framed the thinking of architects and organized the design and construction process to place architects at its center. Its displacement by building information modeling (BIM) and computational design recasts both the terms in which architects think and their role in building production. Author David Ross Scheer explains that, whereas drawing allowed architects to represent ideas in form, BIM and computational design simulate experience, making building behavior or performance the primary object of design. The author explores many ways in which this displacement is affecting architecture: the dominance of performance criteria in the evaluation of design decisions; the blurring of the separation of design and construction; the undermining of architects’ authority over their projects by automated information sharing; the elimination of the human body as the common foundation of design and experience; the transformation of the meaning of geometry when it is performed by computers; the changing nature of design when it requires computation or is done by a digitally-enabled collaboration. Throughout the book, Scheer examines both the theoretical bases and the practical consequences of these changes. The Death of Drawing is a clear-eyed account of the reasons for and consequences of the displacement of drawing by computational media in architecture. Its aim is to give architects the ability to assess the impact of digital media on their own work and to see both the challenges and opportunities of this historic moment in the history of their discipline.

Elements Of Practical Geography

Elements Of Practical Geography PDF Author: R. L. Singh
Publisher:
ISBN: 9788170964414
Category : Geography
Languages : en
Pages : 421

Get Book Here

Book Description