Knapp, Anthony W.
Overview
Works:  32 works in 312 publications in 5 languages and 6,590 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Creator 
Classifications:  QA387, 512.55 
Publication Timeline
.
Most widely held works by
Anthony W Knapp
Lie groups beyond an introduction by
Anthony W Knapp(
Book
)
31 editions published between 1996 and 2005 in English and Undetermined and held by 738 WorldCat member libraries worldwide
Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinitedimensional group representations. Merging algebra and analysis throughout, the author uses Lietheoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups. Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the CartanWeyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for selfstudy or for courses in the second year of graduate study and beyond
31 editions published between 1996 and 2005 in English and Undetermined and held by 738 WorldCat member libraries worldwide
Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinitedimensional group representations. Merging algebra and analysis throughout, the author uses Lietheoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups. Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the CartanWeyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for selfstudy or for courses in the second year of graduate study and beyond
Representation theory of semisimple groups, an overview based on examples by
Anthony W Knapp(
Book
)
30 editions published between 1985 and 2016 in English and held by 648 WorldCat member libraries worldwide
30 editions published between 1985 and 2016 in English and held by 648 WorldCat member libraries worldwide
Denumerable Markov chains by
John G Kemeny(
Book
)
45 editions published between 1966 and 1976 in 4 languages and held by 635 WorldCat member libraries worldwide
This textbook provides a systematic treatment of denumerable Markov chains, covering both the foundations of the subject and some in topics in potential theory and boundary theory. It is a discussion of relations among what might be called the descriptive quantities associated with Markov chainsprobabilities of events and means of random variables that give insight into the behavior of the chains. The approach, by means of infinite matrices, simplifies the notation, shortens statements and proofs of theorems, and often suggests new results. This second edition includes the new chapter, Introduction to Random Fields, written by David Griffeath
45 editions published between 1966 and 1976 in 4 languages and held by 635 WorldCat member libraries worldwide
This textbook provides a systematic treatment of denumerable Markov chains, covering both the foundations of the subject and some in topics in potential theory and boundary theory. It is a discussion of relations among what might be called the descriptive quantities associated with Markov chainsprobabilities of events and means of random variables that give insight into the behavior of the chains. The approach, by means of infinite matrices, simplifies the notation, shortens statements and proofs of theorems, and often suggests new results. This second edition includes the new chapter, Introduction to Random Fields, written by David Griffeath
Elliptic curves by
Anthony W Knapp(
Book
)
12 editions published between 1992 and 2013 in English and held by 488 WorldCat member libraries worldwide
12 editions published between 1992 and 2013 in English and held by 488 WorldCat member libraries worldwide
Lie groups, lie algebras, and cohomology by
Anthony W Knapp(
Book
)
12 editions published in 1988 in 3 languages and held by 433 WorldCat member libraries worldwide
12 editions published in 1988 in 3 languages and held by 433 WorldCat member libraries worldwide
Cohomological induction and unitary representations by
Anthony W Knapp(
Book
)
11 editions published in 1995 in English and held by 379 WorldCat member libraries worldwide
The book, which is accessible to students beyond their first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis
11 editions published in 1995 in English and held by 379 WorldCat member libraries worldwide
The book, which is accessible to students beyond their first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis
Basic algebra by
Anthony W Knapp(
Book
)
37 editions published between 2006 and 2007 in English and held by 328 WorldCat member libraries worldwide
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Basic Algebra: *Linear algebra and group theory build on each other continually *Chapters on modern algebra treat groups, rings, fields, modules, and Galois groups, with emphasis on methods of computation throughout *Three prominent themes recur and blend together at times: the analogy between integers and polynomials in one variable over a field, the interplay between linear algebra and group theory, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with a separate 90page section giving hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; includes blocks of problems that introduce additional topics and applications for further study *Applications to science and engineering (e.g., the fast Fourier transform, the theory of errorcorrecting codes, the use of the Jordan canonical form in solving linear systems of ordinary differential equations, and constructions of interest in mathematical physics) appear in sequences of problems Basic Algebra presents the subject matter in a forwardlooking way that takes into account its historical development. It is suitable as a text in a twosemester advanced undergraduate or firstyear graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs
37 editions published between 2006 and 2007 in English and held by 328 WorldCat member libraries worldwide
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Basic Algebra: *Linear algebra and group theory build on each other continually *Chapters on modern algebra treat groups, rings, fields, modules, and Galois groups, with emphasis on methods of computation throughout *Three prominent themes recur and blend together at times: the analogy between integers and polynomials in one variable over a field, the interplay between linear algebra and group theory, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with a separate 90page section giving hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; includes blocks of problems that introduce additional topics and applications for further study *Applications to science and engineering (e.g., the fast Fourier transform, the theory of errorcorrecting codes, the use of the Jordan canonical form in solving linear systems of ordinary differential equations, and constructions of interest in mathematical physics) appear in sequences of problems Basic Algebra presents the subject matter in a forwardlooking way that takes into account its historical development. It is suitable as a text in a twosemester advanced undergraduate or firstyear graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs
Basic real analysis by
Anthony W Knapp(
Book
)
28 editions published in 2005 in English and held by 308 WorldCat member libraries worldwide
Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features of Basic Real Analysis: @* Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equations @* Subsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, pointset topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spaces @* The subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developments @* The development proceeds from the particular to the general, often introducing examples well before a theory that incorporates them @* The text includes many examples and hundreds of problems, and a separate 55page section gives hints or complete solutions for most of the problems Basic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Basic Real Analysis make it a welcome addition to the personal library of every mathematician
28 editions published in 2005 in English and held by 308 WorldCat member libraries worldwide
Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features of Basic Real Analysis: @* Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equations @* Subsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, pointset topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spaces @* The subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developments @* The development proceeds from the particular to the general, often introducing examples well before a theory that incorporates them @* The text includes many examples and hundreds of problems, and a separate 55page section gives hints or complete solutions for most of the problems Basic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Basic Real Analysis make it a welcome addition to the personal library of every mathematician
Representation theory and automorphic forms : instructional conference, International Centre for Mathematical Sciences, March
1996, Edinburgh, Scotland by Instructional Conference on Representation Theory and Automorphic Forms(
Book
)
10 editions published in 1997 in English and held by 298 WorldCat member libraries worldwide
10 editions published in 1997 in English and held by 298 WorldCat member libraries worldwide
Advanced algebra by
Anthony W Knapp(
Book
)
27 editions published between 2006 and 2008 in English and held by 254 WorldCat member libraries worldwide
"Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole."Publisher's website
27 editions published between 2006 and 2008 in English and held by 254 WorldCat member libraries worldwide
"Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole."Publisher's website
Advanced real analysis by
Anthony W Knapp(
Book
)
30 editions published between 2005 and 2008 in English and held by 245 WorldCat member libraries worldwide
Advanced€Real Analysis systematically develops the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established. This work presents a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features: . Early chapters treat the fundamentals of real variables, the theory of Fourier series for the Riemann integral, and the theoretical underpinnings of multivariable calculus and differential equations . Subsequent chapters develop measure theory, pointset topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces . Later chapters provide a higherlevel view of the interaction between real analysis and algebra, including functional analysis, partial differential equations, and further topics in Fourier analysis . Throughout the text are problems that develop and illuminate aspects of the theory of probability . Includes many examples and hundreds of problems, and a chapter gives hints or complete solutions for most of the problems It requires of the reader only familiarity with some linear algebra and real variable theory, a few weeks' worth of group theory, and an acquaintance with proofs. Because it focuses on what every young mathematician needs to know about real analysis, this book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and unique approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, math physics, and applied differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician. TOC:Preface * Theory of calculus in one real variable * Metric spaces * Theory of differential calculus in several variables * Theory of ordinary differential equations and systems * Riemann integration in several variables * Abstract measure theory and Lebesgue measure * Measure theory for Euclidean space * Fourier transform in R^N * L^p spaces * Further topics in abstract measure theory * Topological spaces * Integration on locally compact spaces * Haar measure * Hilbert and Banach spaces * Distributions and their application to PDEs * References * Index
30 editions published between 2005 and 2008 in English and held by 245 WorldCat member libraries worldwide
Advanced€Real Analysis systematically develops the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established. This work presents a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features: . Early chapters treat the fundamentals of real variables, the theory of Fourier series for the Riemann integral, and the theoretical underpinnings of multivariable calculus and differential equations . Subsequent chapters develop measure theory, pointset topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces . Later chapters provide a higherlevel view of the interaction between real analysis and algebra, including functional analysis, partial differential equations, and further topics in Fourier analysis . Throughout the text are problems that develop and illuminate aspects of the theory of probability . Includes many examples and hundreds of problems, and a chapter gives hints or complete solutions for most of the problems It requires of the reader only familiarity with some linear algebra and real variable theory, a few weeks' worth of group theory, and an acquaintance with proofs. Because it focuses on what every young mathematician needs to know about real analysis, this book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and unique approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, math physics, and applied differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician. TOC:Preface * Theory of calculus in one real variable * Metric spaces * Theory of differential calculus in several variables * Theory of ordinary differential equations and systems * Riemann integration in several variables * Abstract measure theory and Lebesgue measure * Measure theory for Euclidean space * Fourier transform in R^N * L^p spaces * Further topics in abstract measure theory * Topological spaces * Integration on locally compact spaces * Haar measure * Hilbert and Banach spaces * Distributions and their application to PDEs * References * Index
CRM summer school course on representations of real reductive groups by
Montréal) Summer School Course on Representations of Real Reductive Groups (1990(
Book
)
11 editions published in 1990 in English and French and held by 99 WorldCat member libraries worldwide
11 editions published in 1990 in English and French and held by 99 WorldCat member libraries worldwide
Finite markov chains by
John G Kemeny(
Book
)
1 edition published in 1963 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1963 in English and held by 6 WorldCat member libraries worldwide
Sčetnye celi Markova by
John G Kemeny(
Book
)
4 editions published in 1987 in Russian and Undetermined and held by 6 WorldCat member libraries worldwide
4 editions published in 1987 in Russian and Undetermined and held by 6 WorldCat member libraries worldwide
Insect pests in the cacao store : a paper read at the exhibition of rubber, other tropical products & applied industries June,
1921 by
Anthony W Knapp(
Book
)
6 editions published in 1921 in English and held by 6 WorldCat member libraries worldwide
6 editions published in 1921 in English and held by 6 WorldCat member libraries worldwide
Voyageurs National Park : collection management plan by
Ann Hitchcock(
Book
)
1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
Représentation theory of semisimple groups by examples (preliminary ed.) by
Anthony W Knapp(
Book
)
1 edition published in 1982 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1982 in English and held by 2 WorldCat member libraries worldwide
Princeton Mathematical Series Cohomological Induction and Unitary Representations (PMS45) by
Anthony W Knapp(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Kemeny, John G. Author
 Snell, J. Laurie (James Laurie) 19252011
 Vogan, David A. 1954
 Bailey, T. N. Other Editor
 Université de Montréal Centre de recherches mathématiques
 SpringerLink (Online service)
 Epstein, Charles L.
 Krantz, Steven G. (Steven George) 1951
 SpringerLink (Service en ligne)
 Centre de recherches en mathématiques (Montréal, Canada)
Useful Links
Associated Subjects
Algebra Algebraic number theory Associative rings Automorphic forms CacaoDiseases and pests Commutative algebra Commutative rings Curves, Elliptic Differential equations Differential equations, Partial Distribution (Probability theory) Field theory (Physics) Fourier analysis Functional analysis Games of chance (Mathematics) Geometry, Algebraic Global analysis (Mathematics) Group theory Harmonic analysis Homology theory Insect pests Lie algebras Lie groups Manifolds (Mathematics) Markov processes Mathematical analysis Mathematical statistics Mathematics Matrices MinnesotaVoyageurs National Park Museum conservation methods Museum registration methods Number theory Probabilities Representations of groups Representations of Lie groups Rings (Algebra) Semisimple Lie groups Topological groups Topology
Alternative Names
Anthony Knapp
Anthony Knapp Amerikaans wiskundige
Anthony W. Knapp amerikansk matematikar
Anthony W. Knapp amerikansk matematiker
Anthony W. Knapp mathématicien américain
Anthony W. Knapp USamerikanischer Mathematiker
Knapp, A. 1941
Knapp, A. W.
Knapp, A. W. 1941
Knapp, A. W. (Anthony W.)
Knapp, A.W. (Anthony W.), 1941
Knapp, Anthony 1941
Knapp, Anthony W.
Knapp, Anthony William.
Knapp, Anthony William 1941
Knapp, Antnony W. 1941
Knapp, Antnony W. (Anthony William), 1941
Knepp, A.
Knepp, A. 1941
アンソニー・ナップ
Languages
Covers