Author: Ciaran McMorran
Publisher:
ISBN: 9780813066288
Category : Geometry in literature
Languages : en
Pages : 0
Book Description
Joyce and Geometry reveals the full extent to which the modernist writer James Joyce was influenced by the radical theories of non-Euclidean geometry. Tracing Joyce's obsession with measuring and mapping space throughout his works, Ciaran McMorran delves into a major theme in Joyce's work that has not been thoroughly explored until now.
Joyce and Geometry
Author: Ciaran McMorran
Publisher:
ISBN: 9780813066288
Category : Geometry in literature
Languages : en
Pages : 0
Book Description
Joyce and Geometry reveals the full extent to which the modernist writer James Joyce was influenced by the radical theories of non-Euclidean geometry. Tracing Joyce's obsession with measuring and mapping space throughout his works, Ciaran McMorran delves into a major theme in Joyce's work that has not been thoroughly explored until now.
Publisher:
ISBN: 9780813066288
Category : Geometry in literature
Languages : en
Pages : 0
Book Description
Joyce and Geometry reveals the full extent to which the modernist writer James Joyce was influenced by the radical theories of non-Euclidean geometry. Tracing Joyce's obsession with measuring and mapping space throughout his works, Ciaran McMorran delves into a major theme in Joyce's work that has not been thoroughly explored until now.
Euclid's Elements
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"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: 019921560X
Category : Mathematics
Languages : en
Pages : 314
Book Description
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.
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314
Book Description
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: 9780198506010
Category : Mathematics
Languages : en
Pages : 460
Book Description
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.
Publisher: OUP Oxford
ISBN: 9780198506010
Category : Mathematics
Languages : en
Pages : 460
Book Description
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: 048615498X
Category : Mathematics
Languages : en
Pages : 338
Book Description
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.
Publisher: Courier Corporation
ISBN: 048615498X
Category : Mathematics
Languages : en
Pages : 338
Book Description
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.
Calabi-Yau Manifolds and Related Geometries
Author: Mark Gross
Publisher: Springer Science & Business Media
ISBN: 3642190049
Category : Mathematics
Languages : en
Pages : 245
Book Description
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
Publisher: Springer Science & Business Media
ISBN: 3642190049
Category : Mathematics
Languages : en
Pages : 245
Book Description
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
Math Games, Grades 5 - 6
Author: Joyce Stulgis-Blalock
Publisher: Mark Twain Media
ISBN: 1580375677
Category : Juvenile Nonfiction
Languages : en
Pages : 131
Book Description
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
Publisher: Mark Twain Media
ISBN: 1580375677
Category : Juvenile Nonfiction
Languages : en
Pages : 131
Book Description
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
Joyce, Chaos, and Complexity
Author: Thomas Jackson Rice
Publisher: University of Illinois Press
ISBN: 9780252065835
Category : Literary Criticism
Languages : en
Pages : 228
Book Description
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.
Publisher: University of Illinois Press
ISBN: 9780252065835
Category : Literary Criticism
Languages : en
Pages : 228
Book Description
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.
Geometry of Sets and Measures in Euclidean Spaces
Author: Pertti Mattila
Publisher: Cambridge University Press
ISBN: 9780521655958
Category : Mathematics
Languages : en
Pages : 360
Book Description
This book studies the geometric properties of general sets and measures in euclidean space.
Publisher: Cambridge University Press
ISBN: 9780521655958
Category : Mathematics
Languages : en
Pages : 360
Book Description
This book studies the geometric properties of general sets and measures in euclidean space.
A Theory of Generalized Donaldson-Thomas Invariants
Author: Dominic D. Joyce
Publisher: American Mathematical Soc.
ISBN: 0821852795
Category : Mathematics
Languages : en
Pages : 212
Book Description
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 $Q$.
Publisher: American Mathematical Soc.
ISBN: 0821852795
Category : Mathematics
Languages : en
Pages : 212
Book Description
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 $Q$.