Knapp, Anthony W.Overview
Publication Timeline
Most widely held works by
Anthony W Knapp
Lie groups beyond an introduction
by Anthony W Knapp
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Book
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25 editions published between 1996 and 2005 in English and Undetermined and held by 715 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
Basic real analysis
by Anthony W Knapp
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21 editions published in 2005 in English and held by 642 WorldCat member libraries worldwide "Basic Real Analysis and Advanced Real Analysis 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." "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."Jacket
Denumerable Markov chains
by John G Kemeny
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Book
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36 editions published between 1966 and 1976 in 3 languages and held by 624 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
Representation theory of semisimple groups, an overview based on examples
by Anthony W Knapp
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Book
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20 editions published between 1985 and 2001 in English and held by 614 WorldCat member libraries worldwide
Basic algebra
by Anthony W Knapp
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25 editions published between 2006 and 2007 in English and held by 608 WorldCat member libraries worldwide
Advanced real analysis along with a companion volume, Basic real analysis
by Anthony W Knapp
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21 editions published between 2005 and 2008 in English and held by 572 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
Advanced algebra
by Anthony W Knapp
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18 editions published between 2007 and 2008 in English and held by 571 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
Elliptic curves
by Anthony W Knapp
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Book
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10 editions published between 1992 and 1993 in English and Undetermined and held by 458 WorldCat member libraries worldwide
Lie groups, lie algebras, and cohomology
by Anthony W Knapp
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Book
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10 editions published in 1988 in English and held by 418 WorldCat member libraries worldwide
Cohomological induction and unitary representations
by Anthony W Knapp
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Book
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8 editions published in 1995 in English and held by 363 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
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
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Book
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9 editions published in 1997 in English and held by 292 WorldCat member libraries worldwide
CRM summer school course on representations of real reductive groups
by Montréal) Summer School Course on Representations of Real Reductive Groups (1990
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Book
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10 editions published in 1990 in English and French and held by 95 WorldCat member libraries worldwide
Advanced Algebra
by Anthony W Knapp
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3 editions published in 2007 in English and held by 5 WorldCat member libraries worldwide
Finite markov chains
by John G Kemeny
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Book
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1 edition published in 1963 in English and held by 5 WorldCat member libraries worldwide
Voyageurs National Park : collection management plan
by Ann Hitchcock
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Book
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1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
Sčetnye celi Markova
by John G Kemeny
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Book
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2 editions published in 1987 in Russian and held by 3 WorldCat member libraries worldwide
Schetnye tsepi Markova
by John G Kemeny
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Book
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1 edition published in 1987 in Russian and held by 2 WorldCat member libraries worldwide
Vitamin D in cacao shell (commercial cocoa bean shell) : reports on recent researches, including investigations into its use as an accessory fodder
by Anthony W Knapp
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Book
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2 editions published in 1937 in English and held by 2 WorldCat member libraries worldwide
Insect Pests in the Cacao Store. A paper, etc
by Anthony W Knapp
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Book
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2 editions published in 1921 in English and held by 2 WorldCat member libraries worldwide
Représentation theory of semisimple groups by examples (preliminary ed.)
by Anthony W Knapp
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1 edition published in 1982 in English and held by 2 WorldCat member libraries worldwide more
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Associated Subjects
Algebra Algebraic number theory Automorphic forms Cacao shells as feed 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 Lie algebras Lie groups 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 Semisimple Lie groups Topological groups Topology Vitamin D

Alternative Names
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. (Anthony William), 1941
Knepp, A.
Knepp, A., 1941
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