Wermer, John
Overview
Works:  49 works in 261 publications in 4 languages and 4,808 library holdings 

Genres:  Mathematical formulae Tables (Data) 
Roles:  Author, Translator, Editor, htt, Contributor 
Classifications:  QA3, 512.5 
Publication Timeline
.
Most widely held works by
John Wermer
Linear algebra through geometry by
Thomas Banchoff(
Book
)
37 editions published between 1983 and 1996 in 3 languages and held by 1,174 WorldCat member libraries worldwide
Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and threedimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with ndimensional Euclidean space and other finitedimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry
37 editions published between 1983 and 1996 in 3 languages and held by 1,174 WorldCat member libraries worldwide
Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and threedimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with ndimensional Euclidean space and other finitedimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry
Potential theory / John Wermer by
John Wermer(
Book
)
44 editions published between 1972 and 2014 in 4 languages and held by 985 WorldCat member libraries worldwide
These notes are based on a onesemester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of real function theory to the extent of a first year graduate course, In addition some elementary facts regarding harmonic functions are assumed as known
44 editions published between 1972 and 2014 in 4 languages and held by 985 WorldCat member libraries worldwide
These notes are based on a onesemester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of real function theory to the extent of a first year graduate course, In addition some elementary facts regarding harmonic functions are assumed as known
Banach algebras and several complex variables by
John Wermer(
Book
)
19 editions published between 1975 and 1976 in English and German and held by 568 WorldCat member libraries worldwide
During the past twenty years many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. On the one hand, function theory has been used to answer algebraic questions such as the question of the existence of idempotents in a Banach algebra. On the other hand, concepts arising from the study of Banach algebras such as the maximal ideal space, the Silov boundary, Gleason parts, etc. have led to new questions and to new methods of proof in function theory. Roughly one third of this book isconcerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. We presuppose no knowledge of severalcomplex variables on the part of the reader but develop the necessary material from scratch. The remainder of the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. For n> I no complete theory exists but many important particular problems have been solved. Throughout, our aim has been to make the exposition elementary and selfcontained. We have cheerfully sacrificed generality and completeness all along the way in order to make it easier to understand the main ideas
19 editions published between 1975 and 1976 in English and German and held by 568 WorldCat member libraries worldwide
During the past twenty years many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. On the one hand, function theory has been used to answer algebraic questions such as the question of the existence of idempotents in a Banach algebra. On the other hand, concepts arising from the study of Banach algebras such as the maximal ideal space, the Silov boundary, Gleason parts, etc. have led to new questions and to new methods of proof in function theory. Roughly one third of this book isconcerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. We presuppose no knowledge of severalcomplex variables on the part of the reader but develop the necessary material from scratch. The remainder of the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. For n> I no complete theory exists but many important particular problems have been solved. Throughout, our aim has been to make the exposition elementary and selfcontained. We have cheerfully sacrificed generality and completeness all along the way in order to make it easier to understand the main ideas
Several complex variables and Banach algebras by
Herbert Alexander(
Book
)
29 editions published between 1899 and 2005 in English and held by 548 WorldCat member libraries worldwide
Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of idempotents in a Banach algebra, concepts arising from the study of Banach algebras including the maximal ideal space, the Silov boundary, Geason parts, etc. have led to new questions and to new methods of proofs in function theory. This book is concerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. The third edition of this book contains new material on; maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the StoneWeierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter containing commentaries on history and recent developments and an updated and expanded reading list
29 editions published between 1899 and 2005 in English and held by 548 WorldCat member libraries worldwide
Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of idempotents in a Banach algebra, concepts arising from the study of Banach algebras including the maximal ideal space, the Silov boundary, Geason parts, etc. have led to new questions and to new methods of proofs in function theory. This book is concerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. The third edition of this book contains new material on; maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the StoneWeierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter containing commentaries on history and recent developments and an updated and expanded reading list
Seminar über FunktionenAlgebren, Eidg. Technische Hochschule, Zürich, Forschungsinstitut für Mathematik, wintersemester,
1963/64 by
John Wermer(
Book
)
21 editions published in 1964 in 4 languages and held by 463 WorldCat member libraries worldwide
21 editions published in 1964 in 4 languages and held by 463 WorldCat member libraries worldwide
Lectures in modern analysis and applications by
M. F Atiyah(
Book
)
10 editions published between 1969 and 2006 in English and held by 425 WorldCat member libraries worldwide
This lecture series was presented by a consortium of universities in conjunction with the U.S. Air Force Office of Scientific Research during the period 19671969 in Washington, D.C. and at the University of Maryland. The series of lectures was devoted to active basic areas of contemporary analysis which is important in or shows potential in realworld applications. Each lecture presents a survey and critical review of aspects of the specific area addressed, with emphasis on new results, open problems, and applications. This volume contains nine lectures in the series; subsequent lectures will also be published
10 editions published between 1969 and 2006 in English and held by 425 WorldCat member libraries worldwide
This lecture series was presented by a consortium of universities in conjunction with the U.S. Air Force Office of Scientific Research during the period 19671969 in Washington, D.C. and at the University of Maryland. The series of lectures was devoted to active basic areas of contemporary analysis which is important in or shows potential in realworld applications. Each lecture presents a survey and critical review of aspects of the specific area addressed, with emphasis on new results, open problems, and applications. This volume contains nine lectures in the series; subsequent lectures will also be published
Banach algebras and several complex variables by
John Wermer(
Book
)
20 editions published between 1971 and 1976 in English and held by 236 WorldCat member libraries worldwide
20 editions published between 1971 and 1976 in English and held by 236 WorldCat member libraries worldwide
Seminar über FunktionenAlgebren by
John Wermer(
Book
)
23 editions published in 1964 in 3 languages and held by 144 WorldCat member libraries worldwide
23 editions published in 1964 in 3 languages and held by 144 WorldCat member libraries worldwide
Potential theory by
John Wermer(
)
3 editions published between 1974 and 1981 in English and held by 30 WorldCat member libraries worldwide
3 editions published between 1974 and 1981 in English and held by 30 WorldCat member libraries worldwide
Lectures in modern analysis and applications by
Michael Atiyah(
)
in English and held by 29 WorldCat member libraries worldwide
in English and held by 29 WorldCat member libraries worldwide
Seminar über FunktionenAlgebren : Eidg. Technische Hochschule, Zürich Forschungsinstitut für Mathematik by
John Wermer(
)
1 edition published in 1964 in German and held by 28 WorldCat member libraries worldwide
1 edition published in 1964 in German and held by 28 WorldCat member libraries worldwide
Rings of analytic functions by
John Wermer(
)
2 editions published in 1957 in English and held by 16 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 16 WorldCat member libraries worldwide
Function rings and Riemann surfaces by
John Wermer(
)
2 editions published in 1957 in English and held by 16 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 16 WorldCat member libraries worldwide
Recent development in the theory of connections and holonomy groups (Nomizu); Banach algebras and analytic functions (Wermer) by
Katsumi Nomizu(
Book
)
1 edition published in 1961 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 1961 in English and held by 16 WorldCat member libraries worldwide
Formulas and theorems for the special functions of mathematical physics by
Wilhelm Magnus(
Book
)
3 editions published in 1949 in English and held by 16 WorldCat member libraries worldwide
This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, AddisonWesley, Reading, Mass.) . There is a list of symbols and abbreviations at the end of the book
3 editions published in 1949 in English and held by 16 WorldCat member libraries worldwide
This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, AddisonWesley, Reading, Mass.) . There is a list of symbols and abbreviations at the end of the book
Seminar über FunktionenAlgebren by
John Wermer(
Book
)
2 editions published in 1964 in German and held by 15 WorldCat member libraries worldwide
2 editions published in 1964 in German and held by 15 WorldCat member libraries worldwide
Seminar über FunktioenAlgebren by
John Wermer(
Book
)
3 editions published in 1964 in English and German and held by 15 WorldCat member libraries worldwide
3 editions published in 1964 in English and German and held by 15 WorldCat member libraries worldwide
Potential Theory by
John Wermer(
)
4 editions published between 1981 and 2008 in English and Undetermined and held by 10 WorldCat member libraries worldwide
4 editions published between 1981 and 2008 in English and Undetermined and held by 10 WorldCat member libraries worldwide
The Collected works by
Arne Beurling(
Book
)
1 edition published in 1989 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 8 WorldCat member libraries worldwide
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Algebra Algebraic functions Algebraic topology Algebras, Linear Analytic functions Banach algebras Connections (Mathematics) Functional analysis Functions, Special Functions of several complex variables Geometry Global analysis (Mathematics) Holonomy groups Mathematical analysis Mathematical physics Mathematics Physics Potential theory (Mathematics) Riemann surfaces Rings (Algebra) Topology
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Alternative Names
John Wermer American university teacher
John Wermer Amerikaans hoogleraar
John Wermer profesor universitario estadounidense
John Wermer profesor universitariu estauxunidense
John Wermer professeur d'université américain
John Wermer professor d'universitat estatunidenc
John Wermer USamerikanischer Mathematiker
Uèrmer, Dž.
Wermer, J.
Wermer, John
Уэрмер Дж.
ワーマー, ジョン
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