Joyce And Geometry

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Joyce and Geometry

Author : Ciaran McMorran
Publisher : University Press of Florida
ISBN 13 : 0813057396
Total Pages : 195 pages
Book Rating : 4.8/5 (13 download)

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Book Synopsis Joyce and Geometry by : Ciaran McMorran

Download or read book Joyce and Geometry written by Ciaran McMorran and published by University Press of Florida. This book was released on 2020-01-15 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Euclid's Elements

Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Euclid's Elements by : Euclid

Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Riemannian Holonomy Groups and Calibrated Geometry

Author : Dominic D. Joyce
Publisher : Oxford University Press
ISBN 13 : 019921560X
Total Pages : 314 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Riemannian Holonomy Groups and Calibrated Geometry by : Dominic D. Joyce

Download or read book Riemannian Holonomy Groups and Calibrated Geometry written by Dominic D. Joyce and published by Oxford University Press. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Compact Manifolds with Special Holonomy

Author : Dominic D. Joyce
Publisher : OUP Oxford
ISBN 13 : 9780198506010
Total Pages : 460 pages
Book Rating : 4.5/5 (6 download)

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Book Synopsis Compact Manifolds with Special Holonomy by : Dominic D. Joyce

Download or read book Compact Manifolds with Special Holonomy written by Dominic D. Joyce and published by OUP Oxford. This book was released on 2000 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Euclidean Geometry

Author : Roger A. Johnson
Publisher : Courier Corporation
ISBN 13 : 048615498X
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Advanced Euclidean Geometry by : Roger A. Johnson

Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Math Games, Grades 5 - 6

Author : Joyce Stulgis-Blalock
Publisher : Mark Twain Media
ISBN 13 : 1580375677
Total Pages : 131 pages
Book Rating : 4.5/5 (83 download)

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Book Synopsis Math Games, Grades 5 - 6 by : Joyce Stulgis-Blalock

Download or read book Math Games, Grades 5 - 6 written by Joyce Stulgis-Blalock and published by Mark Twain Media. This book was released on 2011-01-03 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher-tested Math Games is designed for fifth and sixth grade students to use various math skills while applying strategy to correctly solve three problems in a row to win each of the games. Concepts covered include place value, math operations, estimation, fractions, decimals, percents, proportions, properties, patterns, algebra, measurement, geometry, scale, data analysis, and problem solving. Meets NCTM standards and is correlated to state, national, and Canadian provincial standards. 128 pages

Virtual Fundamental Cycles in Symplectic Topology

Author : John W. Morgan
Publisher : American Mathematical Soc.
ISBN 13 : 1470450143
Total Pages : 300 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Virtual Fundamental Cycles in Symplectic Topology by : John W. Morgan

Download or read book Virtual Fundamental Cycles in Symplectic Topology written by John W. Morgan and published by American Mathematical Soc.. This book was released on 2019-04-12 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromov's original paper until today this approach has been the most important tool in global symplectic geometry. To produce numerical invariants of these manifolds using this method requires constructing a fundamental cycle associated with moduli spaces. This volume brings together three approaches to constructing the “virtual” fundamental cycle for the moduli space of pseudo-holomorphic curves. All approaches are based on the idea of local Kuranishi charts for the moduli space. Workers in the field will get a comprehensive understanding of the details of these constructions and the assumptions under which they can be made. These techniques and results will be essential in further applications of this approach to producing invariants of symplectic manifolds.

Geometry of Sets and Measures in Euclidean Spaces

Author : Pertti Mattila
Publisher : Cambridge University Press
ISBN 13 : 9780521655958
Total Pages : 360 pages
Book Rating : 4.6/5 (559 download)

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Book Synopsis Geometry of Sets and Measures in Euclidean Spaces by : Pertti Mattila

Download or read book Geometry of Sets and Measures in Euclidean Spaces written by Pertti Mattila and published by Cambridge University Press. This book was released on 1999-02-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the geometric properties of general sets and measures in euclidean space.

Calabi-Yau Manifolds and Related Geometries

Author : Mark Gross
Publisher : Springer Science & Business Media
ISBN 13 : 3642190049
Total Pages : 245 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Calabi-Yau Manifolds and Related Geometries by : Mark Gross

Download or read book Calabi-Yau Manifolds and Related Geometries written by Mark Gross and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS

A Theory of Generalized Donaldson-Thomas Invariants

Author : Dominic D. Joyce
Publisher : American Mathematical Soc.
ISBN 13 : 0821852795
Total Pages : 212 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Theory of Generalized Donaldson-Thomas Invariants by : Dominic D. Joyce

Download or read book A Theory of Generalized Donaldson-Thomas Invariants written by Dominic D. Joyce and published by American Mathematical Soc.. This book was released on 2011 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies generalized Donaldson-Thomas invariants $\bar{DT}{}^\alpha(\tau)$. They are rational numbers which `count' both $\tau$-stable and $\tau$-semistable coherent sheaves with Chern character $\alpha$ on $X$; strictly $\tau$-semistable sheaves must be counted with complicated rational weights. The $\bar{DT}{}^\alpha(\tau)$ are defined for all classes $\alpha$, and are equal to $DT^\alpha(\tau)$ when it is defined. They are unchanged under deformations of $X$, and transform by a wall-crossing formula under change of stability condition $\tau$. To prove all this, the authors study the local structure of the moduli stack $\mathfrak M$ of coherent sheaves on $X$. They show that an atlas for $\mathfrak M$ may be written locally as $\mathrm{Crit}(f)$ for $f:U\to{\mathbb C}$ holomorphic and $U$ smooth, and use this to deduce identities on the Behrend function $\nu_\mathfrak M$. They compute the invariants $\bar{DT}{}^\alpha(\tau)$ in examples, and make a conjecture about their integrality properties. They also extend the theory to abelian categories $\mathrm{mod}$-$\mathbb{C}Q\backslash I$ of representations of a quiver $Q$ with relations $I$ coming from a superpotential $W$ on $Q$.

Lagrangian Intersection Floer Theory

Author : Kenji Fukaya
Publisher : American Mathematical Soc.
ISBN 13 : 0821852507
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lagrangian Intersection Floer Theory by : Kenji Fukaya

Download or read book Lagrangian Intersection Floer Theory written by Kenji Fukaya and published by American Mathematical Soc.. This book was released on 2010-06-21 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $A_\infty$ algebras and $A_\infty$ bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.

Play with Shapes!

Author : Joyce L. Markovics
Publisher :
ISBN 13 : 9781618102119
Total Pages : 0 pages
Book Rating : 4.1/5 (21 download)

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Book Synopsis Play with Shapes! by : Joyce L. Markovics

Download or read book Play with Shapes! written by Joyce L. Markovics and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set Out For A Day At The Beach And Learn About All The Shapes You Will See There. Introduces The Cone, Cube, Sphere, Pyramid, And Cylinder. All While Using One Of The Most Popular Settings.

Joyce, Chaos, and Complexity

Author : Thomas Jackson Rice
Publisher : University of Illinois Press
ISBN 13 : 9780252065835
Total Pages : 228 pages
Book Rating : 4.0/5 (658 download)

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Book Synopsis Joyce, Chaos, and Complexity by : Thomas Jackson Rice

Download or read book Joyce, Chaos, and Complexity written by Thomas Jackson Rice and published by University of Illinois Press. This book was released on 1997 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Geometry of James Joyce's "Ulysses": from Pythagoras to Poincaré

Author : Susan Sutliff Brown
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.:/5 (181 download)

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Book Synopsis The Geometry of James Joyce's "Ulysses": from Pythagoras to Poincaré by : Susan Sutliff Brown

Download or read book The Geometry of James Joyce's "Ulysses": from Pythagoras to Poincaré written by Susan Sutliff Brown and published by . This book was released on 1987 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Strings and Geometry

Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 9780821837153
Total Pages : 396 pages
Book Rating : 4.8/5 (371 download)

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Book Synopsis Strings and Geometry by : Clay Mathematics Institute. Summer School

Download or read book Strings and Geometry written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.

Euclid in Greek

Author : Euclid
Publisher : CUP Archive
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Euclid in Greek by : Euclid

Download or read book Euclid in Greek written by Euclid and published by CUP Archive. This book was released on 1920 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Different Faces of Geometry

Author : Simon Donaldson
Publisher : Springer Science & Business Media
ISBN 13 : 030648658X
Total Pages : 424 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Different Faces of Geometry by : Simon Donaldson

Download or read book Different Faces of Geometry written by Simon Donaldson and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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