Author: Terry Gannon
Publisher: Cambridge University Press
ISBN: 1009401580
Category : Science
Languages : en
Pages : 493
Book Description
Moonshine beyond the Monster
Author: Terry Gannon
Publisher: Cambridge University Press
ISBN: 1009401580
Category : Science
Languages : en
Pages : 493
Book Description
Publisher: Cambridge University Press
ISBN: 1009401580
Category : Science
Languages : en
Pages : 493
Book Description
Moonshine beyond the Monster
Author: Terry Gannon
Publisher: Cambridge University Press
ISBN: 1139457802
Category : Science
Languages : en
Pages : 422
Book Description
This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.
Publisher: Cambridge University Press
ISBN: 1139457802
Category : Science
Languages : en
Pages : 422
Book Description
This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.
Symmetry and the Monster
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.
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.
Modular Forms, a Computational Approach
Author: William A. Stein
Publisher: American Mathematical Soc.
ISBN: 0821839608
Category : Mathematics
Languages : en
Pages : 290
Book Description
This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.
Publisher: American Mathematical Soc.
ISBN: 0821839608
Category : Mathematics
Languages : en
Pages : 290
Book Description
This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.
Noodling for Flatheads
Author: Burkhard Bilger
Publisher: Simon and Schuster
ISBN: 0743205642
Category : Travel
Languages : en
Pages : 257
Book Description
The Old South is slow to give up its secrets. Though satellite dishes outnumber banjo players a thousand to one, most traditions haven't died; they've just gone into hiding. Cockfighting is illegal in forty-eight states, yet there are three national cockfighting magazines and cockpits in even the most tranquil communities. Homemade liquor has been outlawed for more than a century, yet moonshiners in Virginia still ship nearly one million gallons a year. Some of these pastimes are ancient, others ultramodern; some are illegal, others merely obscure. But the people who practice them share an undeniable kinship. Instead of wealth, promotion, or a few seconds of prime time, they follow dreams that lead them ever deeper underground. They are reminders, ultimately, that American culture isn't as predictable as it seems-that the weeds growing between its cracks are its most vital signs of life. In these masterfully crafted essays, Burkhard Bilger explores the history and practice of eight such clandestine worlds. Like John McPhee and Ian Frazier, he introduces us to people whose spirit of individualism keeps traditions alive, from a fifty-something female coon hunter who spends 340 nights a year in the woods to a visionary frog farmer and a man whose arms are scarred by the eighty-pound catfish he catches by hand. A fluid combination of adventure, history, and humor, Noodling for Flatheads is evocative, intelligent, and wonder-fully weird-a splendid antidote to the sameness of today's popular culture.
Publisher: Simon and Schuster
ISBN: 0743205642
Category : Travel
Languages : en
Pages : 257
Book Description
The Old South is slow to give up its secrets. Though satellite dishes outnumber banjo players a thousand to one, most traditions haven't died; they've just gone into hiding. Cockfighting is illegal in forty-eight states, yet there are three national cockfighting magazines and cockpits in even the most tranquil communities. Homemade liquor has been outlawed for more than a century, yet moonshiners in Virginia still ship nearly one million gallons a year. Some of these pastimes are ancient, others ultramodern; some are illegal, others merely obscure. But the people who practice them share an undeniable kinship. Instead of wealth, promotion, or a few seconds of prime time, they follow dreams that lead them ever deeper underground. They are reminders, ultimately, that American culture isn't as predictable as it seems-that the weeds growing between its cracks are its most vital signs of life. In these masterfully crafted essays, Burkhard Bilger explores the history and practice of eight such clandestine worlds. Like John McPhee and Ian Frazier, he introduces us to people whose spirit of individualism keeps traditions alive, from a fifty-something female coon hunter who spends 340 nights a year in the woods to a visionary frog farmer and a man whose arms are scarred by the eighty-pound catfish he catches by hand. A fluid combination of adventure, history, and humor, Noodling for Flatheads is evocative, intelligent, and wonder-fully weird-a splendid antidote to the sameness of today's popular culture.
Quantum Field Theory and the Standard Model
Author: Matthew D. Schwartz
Publisher: Cambridge University Press
ISBN: 1107034736
Category : Science
Languages : en
Pages : 869
Book Description
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Publisher: Cambridge University Press
ISBN: 1107034736
Category : Science
Languages : en
Pages : 869
Book Description
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Topology, Geometry and Quantum Field Theory
Author: Ulrike Luise Tillmann
Publisher: Cambridge University Press
ISBN: 9780521540490
Category : Mathematics
Languages : en
Pages : 596
Book Description
The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.
Publisher: Cambridge University Press
ISBN: 9780521540490
Category : Mathematics
Languages : en
Pages : 596
Book Description
The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.
Quantum Field Theory
Author: Mark Srednicki
Publisher: Cambridge University Press
ISBN: 1139462768
Category : Science
Languages : en
Pages : 664
Book Description
Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
Publisher: Cambridge University Press
ISBN: 1139462768
Category : Science
Languages : en
Pages : 664
Book Description
Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
Simon
Author: Alexander Masters
Publisher: Delacorte Press
ISBN: 034553221X
Category : Biography & Autobiography
Languages : en
Pages : 375
Book Description
Alexander Masters tripped over his first book subject on a Cambridge sidewalk, and the result was the multi-award-winning bestseller Stuart: A Life Backwards. His second, he’s found under his floorboards. One of the greatest mathematical prodigies of the twentieth century, Simon Norton stomps around Alexander’s basement in semidarkness, dodging between stalagmites of bus timetables and engorged plastic bags, eating tinned kippers stirred into packets of Bombay mix. Simon is exploring a theoretical puzzle so complex and critical to our understanding of the universe that it is known as the Monster. It looks like a sudoku table—except a sudoku table has nine columns of numbers. The Monster has 808017424794512875886459904961710757005754368000000000 columns. But that’s not the whole story. What’s inside the decaying sports bag he never lets out of his clutches? Why does he hurtle out of the house in the middle of the night? And—good God!—what is that noxious smell that creeps up the stairwell? Grumpy, poignant, comical—more intimate than either the author or his quarry intended—Simon: The Genius in My Basement is the story of a friendship and a pursuit. Part biography, part memoir, and part popular science, it is a study of the frailty of brilliance, the measures of happiness, and Britain’s most uncooperative egghead eccentric.
Publisher: Delacorte Press
ISBN: 034553221X
Category : Biography & Autobiography
Languages : en
Pages : 375
Book Description
Alexander Masters tripped over his first book subject on a Cambridge sidewalk, and the result was the multi-award-winning bestseller Stuart: A Life Backwards. His second, he’s found under his floorboards. One of the greatest mathematical prodigies of the twentieth century, Simon Norton stomps around Alexander’s basement in semidarkness, dodging between stalagmites of bus timetables and engorged plastic bags, eating tinned kippers stirred into packets of Bombay mix. Simon is exploring a theoretical puzzle so complex and critical to our understanding of the universe that it is known as the Monster. It looks like a sudoku table—except a sudoku table has nine columns of numbers. The Monster has 808017424794512875886459904961710757005754368000000000 columns. But that’s not the whole story. What’s inside the decaying sports bag he never lets out of his clutches? Why does he hurtle out of the house in the middle of the night? And—good God!—what is that noxious smell that creeps up the stairwell? Grumpy, poignant, comical—more intimate than either the author or his quarry intended—Simon: The Genius in My Basement is the story of a friendship and a pursuit. Part biography, part memoir, and part popular science, it is a study of the frailty of brilliance, the measures of happiness, and Britain’s most uncooperative egghead eccentric.
Conversations on Quantum Gravity
Author: Jácome Armas
Publisher: Cambridge University Press
ISBN: 1107168872
Category : Biography & Autobiography
Languages : en
Pages : 719
Book Description
Leading theorists share their important insights into the ongoing quest of theoretical physics to find a quantum theory of gravity.
Publisher: Cambridge University Press
ISBN: 1107168872
Category : Biography & Autobiography
Languages : en
Pages : 719
Book Description
Leading theorists share their important insights into the ongoing quest of theoretical physics to find a quantum theory of gravity.