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Geometry: The Line and the Circle

Geometry: The Line and the Circle PDF Author: Maureen T. Carroll
Publisher: American Mathematical Soc.
ISBN: 1470448432
Category : Mathematics
Languages : en
Pages : 502

Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Geometry: The Line and the Circle

Geometry: The Line and the Circle PDF Author: Maureen T. Carroll
Publisher: American Mathematical Soc.
ISBN: 1470448432
Category : Mathematics
Languages : en
Pages : 502

Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Reading Between the Lines

Reading Between the Lines PDF Author: Jean H. Duffy
Publisher: Liverpool University Press
ISBN: 9780853238515
Category : Literary Criticism
Languages : en
Pages : 420

Book Description
This is the first extended analysis of Simon’s novels, examining the relationship between the work of the French Nobel prize-winning novelist Claude Simon and that of a number of visual artists whose work he has used as stimuli in the production of his novels.

Read Between the Lines

Read Between the Lines PDF Author: Skye Murray
Publisher: Skye Murray
ISBN: 1956247092
Category : Business & Economics
Languages : en
Pages : 275

Book Description
Whether you're thinking of contributing your expertise in the stock market, contemplating retirement, or you're a newbie who wants to make it big in Wall Street, Read Between the Lines: A Beginner's Guide to Understanding the Analysis of The Wall Street with Confidence is the best investment guide for you that money can buy. In this book, Skye Murray shares authoritative insights spanning from the full range of investment opportunities―including valuable new material on how to invest in the stock market, advantages of having dividends and how to use them wisely, how Covid-19 affected the markets and how to get past it to retain the losses that occurred globally. Murray, through his book, helps you chart a calm course through the turbulent waves of today's financial markets by guiding you on how to overcome the uncalculated risks that may occur when trying to earn big, and how wisely one should invest their money to make themselves the wolf of Wall Street. Murray, with his expertise, also draws light on how to be aware of illegal practices in the stock markets and how one must be prepared to bear any loss that happens while becoming a master in the financial market. "An investment in knowledge pays the best interest." — Benjamin Franklin

Clement Greenberg Between the Lines

Clement Greenberg Between the Lines PDF Author: Thierry de Duve
Publisher: University of Chicago Press
ISBN: 0226175170
Category : Art
Languages : en
Pages : 160

Book Description
Clement Greenberg (1909–1994), champion of abstract expressionism and modernism—of Pollock, Miró, and Matisse—has been esteemed by many as the greatest art critic of the second half of the twentieth century, and possibly the greatest art critic of all time. This volume, a lively reassessment of Greenberg’s writings, features three approaches to the man and his work: Greenberg as critic, doctrinaire, and theorist. The book also features a transcription of a public debate with Greenberg that de Duve organized at the University of Ottawa in 1988. Clement Greenberg Between the Lines will be an indispensable resource for students, scholars, and enthusiasts of modern art. “In this compelling study, Thierry de Duve reads Greenberg against the grain of the famous critic’s critics—and sometimes against the grain of the critic himself. By reinterpreting Greenberg’s interpretations of Pollock, Duchamp, and other canonical figures, de Duve establishes new theoretical coordinates by which to understand the uneasy complexities and importance of Greenberg’s practice.” John O’Brian, editor of Clement Greenberg: The Collected Essays and Criticisms “De Duve is an expert on theoretical aesthetics and thus well suited to reassess the formalist tenets of the late American art critic's theory on art and culture. . . . De Duve's close readings of Greenberg . . . contain much of interest, and the author clearly enjoys matching wits with ‘the world's best known art critic.’” Library Journal

The Organic Line

The Organic Line PDF Author: Irene V. Small
Publisher: Princeton University Press
ISBN: 1890951951
Category : Art
Languages : en
Pages : 344

Book Description
A major rethinking of twentieth-century abstract art mobilized by the work of Brazilian artist Lygia Clark What would it mean to treat an interval of space as a line, thus drawing an empty void into a constellation of art and meaning-laden things? In this book, Irene Small elucidates the signal discovery of the Brazilian artist Lygia Clark in 1954: a fissure of space between material elements that Clark called “the organic line.” For much of the history of art, Clark’s discovery, much like the organic line, has escaped legibility. Once recognized, however, the line has seismic repercussions for rethinking foundational concepts such as mark, limit, surface, and edge. A spatial cavity that binds discrepant entities together, the organic line transforms planes into flexible topologies, borders into membranes, and interstices into points of connection. As a paradigm, the organic line has profound historiographic implications as well, inviting us to set aside traditional notions of influence and origin in favor of what Small terms weak links and plagiotropic relations. These fragile, oblique, and transversal ties have their own efficacy, and Small’s innovative readings of canonical modernist works such as Kazimir Malevich’s Black Square, John Cage’s 4’33”, and Le Corbusier’s machine-à-habiter, as well as contemporary works by such artists as Adam Pendleton, Ricardo Basbaum, and Mika Rottenberg, reveal the organic line’s remarkable potential as an analytic instrument. Mobilizing a rich repertoire of archival sources and moving across multiple chronologies, geographies, and disciplines, this book invites us to envision modernism not as a stable construct defined by centers and peripheries, inclusions and exclusions, but as a topological field of interactive, destabilizing tensions. More than a history of a little-known artistic device, The Organic Line: Toward a Topology of Modernism is a user’s guide and manifesto for reimagining modern and contemporary art for the present.

The Blank Canvas

The Blank Canvas PDF Author: Sayanhya Roy
Publisher: Sayanhya Roy
ISBN:
Category :
Languages : en
Pages : 58

Book Description


Relationscapes

Relationscapes PDF Author: Erin Manning
Publisher: MIT Press
ISBN: 0262518007
Category : Social Science
Languages : en
Pages : 279

Book Description
A new philosophy of movement that explores the active relation between sensation and thought through the prisms of dance, cinema, art, and new media. With Relationscapes, Erin Manning offers a new philosophy of movement challenging the idea that movement is simple displacement in space, knowable only in terms of the actual. Exploring the relation between sensation and thought through the prisms of dance, cinema, art, and new media, Manning argues for the intensity of movement. From this idea of intensity—the incipiency at the heart of movement—Manning develops the concept of preacceleration, which makes palpable how movement creates relational intervals out of which displacements take form. Discussing her theory of incipient movement in terms of dance and relational movement, Manning describes choreographic practices that work to develop with a body in movement rather than simply stabilizing that body into patterns of displacement. She examines the movement-images of Leni Riefenstahl, Étienne-Jules Marey, and Norman McLaren (drawing on Bergson's idea of duration), and explores the dot-paintings of contemporary Australian Aboriginal artists. Turning to language, Manning proposes a theory of prearticulation claiming that language's affective force depends on a concept of thought in motion. Relationscapes takes a “Whiteheadian perspective,” recognizing Whitehead's importance and his influence on process philosophers of the late twentieth century—Deleuze and Guattari in particular. It will be of special interest to scholars in new media, philosophy, dance studies, film theory, and art history.

CONSERSATIONS ISSUE NUMBER 2

CONSERSATIONS ISSUE NUMBER 2 PDF Author:
Publisher:
ISBN: 9780995612556
Category :
Languages : en
Pages :

Book Description


Finger Painting Weekend Workshop

Finger Painting Weekend Workshop PDF Author: Iris Scott
Publisher:
ISBN: 1631061437
Category : Art
Languages : en
Pages : 163

Book Description
Finger painting isn't just for kids! Learn to create an impressionist artwork with Finger Painting Weekend Workshop: A Beginner's Guide to Creating Brush-Free Works of Art.

The Encyclopedia of Oil Painting Techniques

The Encyclopedia of Oil Painting Techniques PDF Author: Jeremy Galton
Publisher: Sterling Publishing Company, Inc.
ISBN: 9780806989099
Category : Art
Languages : en
Pages : 196

Book Description
Find out what you can do with oil paints. Make brushwork more expressive and add shadows. Try a full complement of creative techniques. Breathtaking examples of finished paintings, analyzed in detail, guide you through a range of themes, including architecture, figures, and landscapes.