Baez, John C. 1961
Overview
Works:  19 works in 94 publications in 4 languages and 1,776 library holdings 

Genres:  Comics (Graphic works) Fiction 
Roles:  Author, Editor, Collector, Recipient, Other 
Classifications:  QC793.3.F5, 530.14 
Publication Timeline
.
Most widely held works by
John C Baez
Gauge fields, knots, and gravity by
John C Baez(
Book
)
23 editions published between 1994 and 2011 in English and held by 359 WorldCat member libraries worldwide
23 editions published between 1994 and 2011 in English and held by 359 WorldCat member libraries worldwide
Introduction to algebraic and constructive quantum field theory by
John C Baez(
Book
)
17 editions published between 1991 and 2016 in English and held by 276 WorldCat member libraries worldwide
The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particlewave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature.Originally published in 1992.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
17 editions published between 1991 and 2016 in English and held by 276 WorldCat member libraries worldwide
The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particlewave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature.Originally published in 1992.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Knots and quantum gravity by
John C Baez(
Book
)
11 editions published in 1994 in English and held by 236 WorldCat member libraries worldwide
11 editions published in 1994 in English and held by 236 WorldCat member libraries worldwide
Infinitedimensional representations of 2groups(
Book
)
11 editions published between 2011 and 2012 in English and held by 151 WorldCat member libraries worldwide
"A '2group' is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2groups have representations on '2vector spaces', which are categories analogous to vector spaces. Unfortunately, Lie 2groups typically have few representations on the finitedimensional 2vector spaces introduced by Kapranov and Voevodsky. For this reason, Crane, Sheppeard and Yetter introduced certain infinitedimensional 2vector spaces called 'measurable categories' (since they are closely related to measurable fields of Hilbert spaces), and used these to study infinitedimensional representations of certain Lie 2groups. Here we continue this work. We begin with a detailed study of measurable categories. Then we give a geometrical description of the measurable representations, intertwiners and 2intertwiners for any skeletal measurable 2group. We study tensor products and direct sums for representations, and various concepts of subrepresentation. We describe direct sums of intertwiners, and subintertwinersfeatures not seen in ordinary group representation theory. We study irreducible and indecomposable representations and intertwiners. We also study 'irretractable' representationsanother feature not seen in ordinary group representation theory. Finally, we argue that measurable categories equipped with some extra structure deserve to be considered 'separable 2Hilbert spaces', and compare this idea to a tentative definition of 2Hilbert spaces as representation categories of commutative von Neumann algebras."
11 editions published between 2011 and 2012 in English and held by 151 WorldCat member libraries worldwide
"A '2group' is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2groups have representations on '2vector spaces', which are categories analogous to vector spaces. Unfortunately, Lie 2groups typically have few representations on the finitedimensional 2vector spaces introduced by Kapranov and Voevodsky. For this reason, Crane, Sheppeard and Yetter introduced certain infinitedimensional 2vector spaces called 'measurable categories' (since they are closely related to measurable fields of Hilbert spaces), and used these to study infinitedimensional representations of certain Lie 2groups. Here we continue this work. We begin with a detailed study of measurable categories. Then we give a geometrical description of the measurable representations, intertwiners and 2intertwiners for any skeletal measurable 2group. We study tensor products and direct sums for representations, and various concepts of subrepresentation. We describe direct sums of intertwiners, and subintertwinersfeatures not seen in ordinary group representation theory. We study irreducible and indecomposable representations and intertwiners. We also study 'irretractable' representationsanother feature not seen in ordinary group representation theory. Finally, we argue that measurable categories equipped with some extra structure deserve to be considered 'separable 2Hilbert spaces', and compare this idea to a tentative definition of 2Hilbert spaces as representation categories of commutative von Neumann algebras."
Towards higher categories by
John C Baez(
Book
)
11 editions published between 2009 and 2010 in English and held by 101 WorldCat member libraries worldwide
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of ncategory theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy ntypes. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development
11 editions published between 2009 and 2010 in English and held by 101 WorldCat member libraries worldwide
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of ncategory theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy ntypes. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development
The classifying space of a topological 2group by
John C Baez(
)
2 editions published between 2008 and 2009 in German and English and held by 7 WorldCat member libraries worldwide
2 editions published between 2008 and 2009 in German and English and held by 7 WorldCat member libraries worldwide
Conformally invariant quantum fields by
John C Baez(
Book
)
2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
Higher dimensional algebra by
John C Baez(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Octoniones y teoría de cuerdas by
John C Baez(
)
in Spanish and held by 1 WorldCat member library worldwide
Resumen: De niños, todos nos familiarizamos con los números. Empezamos por aprender a contar y continuamos con las sumas, las restas, las multiplicaciones y las divisiones. Pero el sistema numérico que estudiamos en la escuela no es sino uno de entre muchos posibles. Otras clases de números se emplean con frecuencia en física o geometría. Una de las alternativas más extrañas la constituyen los octoniones. Ignorados en gran medida desde su descubrimiento, en 1843, a lo largo de las últimas décadas han cobrado una importancia curiosa en teoría de cuerdas. Si dicha teoría describe de manera correcta la naturaleza, quizá los octoniones escondan la explicación de por qué el universo tiene el número de dimensiones espaciotemporales que tiene
in Spanish and held by 1 WorldCat member library worldwide
Resumen: De niños, todos nos familiarizamos con los números. Empezamos por aprender a contar y continuamos con las sumas, las restas, las multiplicaciones y las divisiones. Pero el sistema numérico que estudiamos en la escuela no es sino uno de entre muchos posibles. Otras clases de números se emplean con frecuencia en física o geometría. Una de las alternativas más extrañas la constituyen los octoniones. Ignorados en gran medida desde su descubrimiento, en 1843, a lo largo de las últimas décadas han cobrado una importancia curiosa en teoría de cuerdas. Si dicha teoría describe de manera correcta la naturaleza, quizá los octoniones escondan la explicación de por qué el universo tiene el número de dimensiones espaciotemporales que tiene
Strings and twodimensional QCD for finite N by
John C Baez(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Drag measurements on a platoon of vehicles by Michael Zabat(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Brief van De Erven F. Bohn Haarlem aan J. Baez by De Erven F. Bohn (Haarlem)(
)
2 editions published between 1896 and 2013 in Dutch and held by 1 WorldCat member library worldwide
2 editions published between 1896 and 2013 in Dutch and held by 1 WorldCat member library worldwide
School on category theory and applications : Coimbra, 1317/7/1999(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Algorithmic thermodynamics by
John C Baez(
)
1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide
General relativity tutorial by
John C Baez(
)
in English and held by 0 WorldCat member libraries worldwide
A "bunch of interconnected web pages that serve as an informal introduction to general relativity. The goal is to demystify general relativity and get across the key ideas without big complicated calculations"Introductory paragraph
in English and held by 0 WorldCat member libraries worldwide
A "bunch of interconnected web pages that serve as an informal introduction to general relativity. The goal is to demystify general relativity and get across the key ideas without big complicated calculations"Introductory paragraph
Infinitedimensional representations of 2groups(
)
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
Physics, topology, logic and computation a Rosetta stone by
John C Baez(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
Walter Koenig's Things to Come by
Walter Koenig(
)
1 edition published in 2012 in English and held by 0 WorldCat member libraries worldwide
From the unnatural conception of a child comes the birth of an unnatural race. Is this an act of deliverance or the final denouncement of humanity? Is it God's hand at work here or the Devil's teeth?
1 edition published in 2012 in English and held by 0 WorldCat member libraries worldwide
From the unnatural conception of a child comes the birth of an unnatural race. Is this an act of deliverance or the final denouncement of humanity? Is it God's hand at work here or the Devil's teeth?
This week's finds in mathematical physics by
John C Baez(
)
in English and held by 0 WorldCat member libraries worldwide
A compilation of weekly reviews of articles, etc., in mathematical physics since 1993. Includes links to abstracts
in English and held by 0 WorldCat member libraries worldwide
A compilation of weekly reviews of articles, etc., in mathematical physics since 1993. Includes links to abstracts
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Associated Subjects
Algorithms AutomobilesAutomatic control C*algebras Categories (Mathematics) Computational complexity Electromagnetism Gauge fields (Physics) General relativity (Physics) Knot theory Logic Maxwell's demon Motor vehiclesAerodynamics Quantum field theory Quantum gravity Quantum theory Representations of groups Science Thermodynamics
Alternative Names
Baez, J. 1961
Baez, J. C.
Baez, J. C. 1961
Baez, John.
Baez, John 1961
Baez, John C.
John Baez
John Baez physicien américain
John Baez USamerikanischer mathematischer Physiker
John C. Baez Amerikaans wiskundige
John C. Baez amerikansk fysikar og matematikar
John C. Baez amerikansk fysiker och matematiker
John C. Baez amerikansk fysiker og matematiker
John Carlos Baez
John Carlos Baez fisico statunitense
Джон Баэз
Ջոն Բաես
جان سی. باز ریاضیدان و فیزیکدان آمریکایی
جون سي بايز
जॉन सी॰ बैज़
数理物理学
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