Author: Mark Ronan
Publisher: Oxford University Press
ISBN: 0192807234
Category : Biography & Autobiography
Languages : en
Pages : 264
Book Description
In an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.
Vertex Operator Algebras and the Monster
Author: Igor Frenkel
Publisher: Academic Press
ISBN: 0080874541
Category : Mathematics
Languages : en
Pages : 563
Book Description
This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."
Publisher: Academic Press
ISBN: 0080874541
Category : Mathematics
Languages : en
Pages : 563
Book Description
This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."
The Symmetries of Things
Author: John H. Conway
Publisher: CRC Press
ISBN: 1439864896
Category : Mathematics
Languages : en
Pages : 442
Book Description
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
Publisher: CRC Press
ISBN: 1439864896
Category : Mathematics
Languages : en
Pages : 442
Book Description
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
Finding Moonshine: A Mathematician's Journey Through Symmetry (Text Only)
Author: Marcus du Sautoy
Publisher: HarperCollins UK
ISBN: 0007380879
Category : Mathematics
Languages : en
Pages : 404
Book Description
This new ebook from the author of 'The Music of the Primes' combines a personal insight into the mind of a working mathematician with the story of one of the biggest adventures in mathematics: the search for symmetry.
Publisher: HarperCollins UK
ISBN: 0007380879
Category : Mathematics
Languages : en
Pages : 404
Book Description
This new ebook from the author of 'The Music of the Primes' combines a personal insight into the mind of a working mathematician with the story of one of the biggest adventures in mathematics: the search for symmetry.
Monster Portraits
Author: Sofia Samatar
Publisher: Rose Metal Press
ISBN: 9781941628102
Category : Fiction
Languages : en
Pages : 0
Book Description
"An uncanny and imaginative autobiography of otherness, it offers the fictional record of a writer in the realms of the fantastic shot through with the memories of a pair of Somali-American children growing up in the 1980s. Operating under the sign of two—texts and drawings, brother and sister, black and white, extraordinary and everyday —Monster Portraits multiplies, disintegrates, and blends, inviting the reader to find the danger in the banal, the beautiful in the grotesque. Accumulating into a breathless journey and groundbreaking study, these brief fictions and sketches claim the monster as a fragmentary vastness: not the sum but the derangement of its parts."--Amazon.com.
Publisher: Rose Metal Press
ISBN: 9781941628102
Category : Fiction
Languages : en
Pages : 0
Book Description
"An uncanny and imaginative autobiography of otherness, it offers the fictional record of a writer in the realms of the fantastic shot through with the memories of a pair of Somali-American children growing up in the 1980s. Operating under the sign of two—texts and drawings, brother and sister, black and white, extraordinary and everyday —Monster Portraits multiplies, disintegrates, and blends, inviting the reader to find the danger in the banal, the beautiful in the grotesque. Accumulating into a breathless journey and groundbreaking study, these brief fictions and sketches claim the monster as a fragmentary vastness: not the sum but the derangement of its parts."--Amazon.com.
Moonshine, the Monster, and Related Topics
Author: Chongying Dong
Publisher: American Mathematical Soc.
ISBN: 0821803859
Category : Mathematics
Languages : en
Pages : 382
Book Description
This is the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in Jun 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as "Moonshine", this work contains something for many mathematicians and physicists. Many of the results featured are not available elsewhere.
Publisher: American Mathematical Soc.
ISBN: 0821803859
Category : Mathematics
Languages : en
Pages : 382
Book Description
This is the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in Jun 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as "Moonshine", this work contains something for many mathematicians and physicists. Many of the results featured are not available elsewhere.
The Math Book
Author: Clifford A. Pickover
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402757969
Category : Mathematics
Languages : en
Pages : 532
Book Description
This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402757969
Category : Mathematics
Languages : en
Pages : 532
Book Description
This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.
Why String Theory?
Author: Joseph Conlon
Publisher: CRC Press
ISBN: 1482242494
Category : Mathematics
Languages : en
Pages : 256
Book Description
Physics World's 'Book of the Year' for 2016 An Entertaining and Enlightening Guide to the Who, What, and Why of String Theory, now also available in an updated reflowable electronic format compatible with mobile devices and e-readers. During the last 50 years, numerous physicists have tried to unravel the secrets of string theory. Yet why do these scientists work on a theory lacking experimental confirmation? Why String Theory? provides the answer, offering a highly readable and accessible panorama of the who, what, and why of this large aspect of modern theoretical physics. The author, a theoretical physics professor at the University of Oxford and a leading string theorist, explains what string theory is and where it originated. He describes how string theory fits into physics and why so many physicists and mathematicians find it appealing when working on topics from M-theory to monsters and from cosmology to superconductors.
Publisher: CRC Press
ISBN: 1482242494
Category : Mathematics
Languages : en
Pages : 256
Book Description
Physics World's 'Book of the Year' for 2016 An Entertaining and Enlightening Guide to the Who, What, and Why of String Theory, now also available in an updated reflowable electronic format compatible with mobile devices and e-readers. During the last 50 years, numerous physicists have tried to unravel the secrets of string theory. Yet why do these scientists work on a theory lacking experimental confirmation? Why String Theory? provides the answer, offering a highly readable and accessible panorama of the who, what, and why of this large aspect of modern theoretical physics. The author, a theoretical physics professor at the University of Oxford and a leading string theorist, explains what string theory is and where it originated. He describes how string theory fits into physics and why so many physicists and mathematicians find it appealing when working on topics from M-theory to monsters and from cosmology to superconductors.
Points and Curves in the Monster Tower
Author: Richard Montgomery
Publisher: American Mathematical Soc.
ISBN: 0821848186
Category : Mathematics
Languages : en
Pages : 154
Book Description
Cartan introduced the method of prolongation which can be applied either to manifolds with distributions (Pfaffian systems) or integral curves to these distributions. Repeated application of prolongation to the plane endowed with its tangent bundle yields the Monster tower, a sequence of manifolds, each a circle bundle over the previous one, each endowed with a rank $2$ distribution. In an earlier paper (2001), the authors proved that the problem of classifying points in the Monster tower up to symmetry is the same as the problem of classifying Goursat distribution flags up to local diffeomorphism. The first level of the Monster tower is a three-dimensional contact manifold and its integral curves are Legendrian curves. The philosophy driving the current work is that all questions regarding the Monster tower (and hence regarding Goursat distribution germs) can be reduced to problems regarding Legendrian curve singularities.
Publisher: American Mathematical Soc.
ISBN: 0821848186
Category : Mathematics
Languages : en
Pages : 154
Book Description
Cartan introduced the method of prolongation which can be applied either to manifolds with distributions (Pfaffian systems) or integral curves to these distributions. Repeated application of prolongation to the plane endowed with its tangent bundle yields the Monster tower, a sequence of manifolds, each a circle bundle over the previous one, each endowed with a rank $2$ distribution. In an earlier paper (2001), the authors proved that the problem of classifying points in the Monster tower up to symmetry is the same as the problem of classifying Goursat distribution flags up to local diffeomorphism. The first level of the Monster tower is a three-dimensional contact manifold and its integral curves are Legendrian curves. The philosophy driving the current work is that all questions regarding the Monster tower (and hence regarding Goursat distribution germs) can be reduced to problems regarding Legendrian curve singularities.