Joyce And Geometry

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Joyce And Geometry
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Author : Ciaran McMorran
language : en
Publisher: University Press of Florida
Release Date : 2020-01-15
Joyce And Geometry written by Ciaran McMorran and has been published by University Press of Florida this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-15 with Literary Criticism categories.
In a paradigm shift away from classical understandings of geometry, nineteenth-century mathematicians developed new systems that featured surprising concepts such as the idea that parallel lines can curve and intersect. Providing evidence to confirm much that has largely been speculation, Joyce and Geometry reveals the full extent to which the modernist writer James Joyce was influenced by the radical theories of non-Euclidean geometry. Through close readings of Ulysses, Finnegans Wake, and Joyce’s notebooks, Ciaran McMorran demonstrates that Joyce’s experiments with nonlinearity stem from a fascination with these new mathematical concepts. He highlights the maze-like patterns traced by Joyce’s characters as they wander Dublin’s streets; he explores recurring motifs such as the topography of the Earth’s curved surface and time as the fourth dimension of space; and he investigates in detail the enormous influence of Giordano Bruno, Henri Poincaré, and other writers who were critical of the Euclidean tradition. Arguing that Joyce’s obsession with measuring and mapping space throughout his works encapsulates a modern crisis between geometric and linguistic modes of representation, McMorran delves into a major theme in Joyce’s work that has not been fully explored until now. A volume in the Florida James Joyce Series, edited by Sebastian D. G. Knowles
Riemannian Holonomy Groups And Calibrated Geometry
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Author : Dominic D. Joyce
language : en
Publisher: Oxford University Press
Release Date : 2007
Riemannian Holonomy Groups And Calibrated Geometry written by Dominic D. Joyce and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Riemannian Holonomy Groups and Calibrated Geometry covers an exciting and active area of research at the crossroads of several different fields in mathematics and physics. Drawing on the author's previous work the text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.
Euclid S Elements
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Author : Euclid
language : en
Publisher:
Release Date : 2002
Euclid S Elements written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
All About Geometry
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Author : Joyce Markovics
language : en
Publisher: Carson-Dellosa Publishing
Release Date : 2019-03-27
All About Geometry written by Joyce Markovics and has been published by Carson-Dellosa Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-27 with Juvenile Nonfiction categories.
Teaches Young Students About Basic Concepts Of Geometry, Such As Angles And Planes.
Compact Manifolds With Special Holonomy
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Author : Dominic D. Joyce
language : en
Publisher: OUP Oxford
Release Date : 2000
Compact Manifolds With Special Holonomy written by Dominic D. Joyce and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.
Algebraic Geometry Over C Rings
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Author : Dominic Joyce
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-09-05
Algebraic Geometry Over C Rings written by Dominic Joyce and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-05 with Mathematics categories.
If X is a manifold then the R-algebra C∞(X) of smooth functions c:X→R is a C∞-ring. That is, for each smooth function f:Rn→R there is an n-fold operation Φf:C∞(X)n→C∞(X) acting by Φf:(c1,…,cn)↦f(c1,…,cn), and these operations Φf satisfy many natural identities. Thus, C∞(X) actually has a far richer structure than the obvious R-algebra structure. The author explains the foundations of a version of algebraic geometry in which rings or algebras are replaced by C∞-rings. As schemes are the basic objects in algebraic geometry, the new basic objects are C∞-schemes, a category of geometric objects which generalize manifolds and whose morphisms generalize smooth maps. The author also studies quasicoherent sheaves on C∞-schemes, and C∞-stacks, in particular Deligne-Mumford C∞-stacks, a 2-category of geometric objects generalizing orbifolds. Many of these ideas are not new: C∞-rings and C∞ -schemes have long been part of synthetic differential geometry. But the author develops them in new directions. In earlier publications, the author used these tools to define d-manifolds and d-orbifolds, “derived” versions of manifolds and orbifolds related to Spivak's “derived manifolds”.
Calabi Yau Manifolds And Related Geometries
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Author : Mark Gross
language : en
Publisher:
Release Date : 2002-11-27
Calabi Yau Manifolds And Related Geometries written by Mark Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-27 with categories.
Joyce Chaos And Complexity
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Author : Thomas Jackson Rice
language : en
Publisher: University of Illinois Press
Release Date : 1997
Joyce Chaos And Complexity written by Thomas Jackson Rice and has been published by University of Illinois Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Literary Criticism categories.
Thomas Rice compellingly argues that James Joyce's work resists postmodernist approaches of ambiguity: Joyce never abandoned his conviction that reality exists, regardless of the human ability to represent it. Placing Joyce in his cultural context, Rice first traces the influence of Euclidean and non-Euclidean geometries on Dubliners and A Portrait of the Artist as a Young Man. He then demonstrates that, when later innovations in science transformed entire worldviews, Joyce recognized conventional literary modes of representation as offering only arbitrary constructions of this reality. Joyce responded in Ulysses by experimenting with perspective, embedding design, and affirming the existence of reality. Rice contends that Ulysses presages the multiple tensions of chaos theory; likewise, chaos theory can serve as a model for understanding Ulysses. In Finnegans Wake Joyce consummates his vision and anticipates the theories of complexity science through a dynamic approximation of reality.
Different Faces Of Geometry
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Author : Simon Donaldson
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Different Faces Of Geometry written by Simon Donaldson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Mathematics categories.
Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: These apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USA-Canada-Russia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsvath (USA) and Z. Szabo (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in low-dimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsvath and Szabo). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun.Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. Simpson's article emphasizes the need for interesting new constructions (in that case of Kahler and algebraic manifolds), a point which is also made by Bauer in the context of 4-manifolds and the 11/8 conjecture. LeBrun's article gives another perspective on 4-manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even well-known 4-manifolds. There are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. One can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the geometry is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra.The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebro-topological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems. - From the Preface by the Editors
Play With Shapes
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Author : Joyce Markovics
language : en
Publisher: Britannica Digital Learning
Release Date : 2014-05-30
Play With Shapes written by Joyce Markovics and has been published by Britannica Digital Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-30 with Juvenile Nonfiction categories.
Set out for a day at the beach and learn about all the three-dimensional shapes you will see there. The book introduces the cone, cube, sphere, pyramid, and cylinder, all while using a familiar setting.