John, Fritz 19101994
Overview
Works:  199 works in 796 publications in 8 languages and 8,236 library holdings 

Genres:  Festschriften Conference papers and proceedings 
Roles:  Author, Editor, Author of introduction, Dedicatee, Honoree, Other, Contributor 
Publication Timeline
.
Most widely held works about
Fritz John
 Trends and perspectives in applied mathematics by L Sirovich( Book )
 Evaluation of certain infinite series using theorems of John, Rademacher and Kronecker by Colette Sharon Haley( Book )
 Die integrasie van liniere en kwasieliniere paraboliese differensiaalvergelykings volgens die metode van eindige differensies, soos behandel deur Fritz John by G Geldenhuys( )
 Double issues dedicated to the memory of Fritz John( Book )
Most widely held works by
Fritz John
Partial differential equations by
Fritz John(
Book
)
107 editions published between 1953 and 2009 in 6 languages and held by 2,215 WorldCat member libraries worldwide
This book is a very wellaccepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy' s example of a linear equation without solutions
107 editions published between 1953 and 2009 in 6 languages and held by 2,215 WorldCat member libraries worldwide
This book is a very wellaccepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy' s example of a linear equation without solutions
Introduction to calculus and analysis by
Richard Courant(
Book
)
163 editions published between 1965 and 2012 in 4 languages and held by 1,793 WorldCat member libraries worldwide
The new Chapter 1 contains all the fundamental properties of linear differential forms and their integrals. These prepare the reader for the introduction to higherorder exterior differential forms added to Chapter 3. Also found now in Chapter 3 are a new proof of the implicit function theorem by successive approximations and a discus sion of numbers of critical points and of indices of vector fields in two dimensions. Extensive additions were made to the fundamental properties of multiple integrals in Chapters 4 and 5. Here one is faced with a familiar difficulty: integrals over a manifold M, defined easily enough by subdividing M into convenient pieces, must be shown to be inde pendent of the particular subdivision. This is resolved by the sys tematic use of the family of Jordan measurable sets with its finite intersection property and of partitions of unity. In order to minimize topological complications, only manifolds imbedded smoothly into Euclidean space are considered. The notion of "orientation" of a manifold is studied in the detail needed for the discussion of integrals of exterior differential forms and of their additivity properties. On this basis, proofs are given for the divergence theorem and for Stokes's theorem in n dimensions. To the section on Fourier integrals in Chapter 4 there has been added a discussion of Parseval's identity and of multiple Fourier integrals
163 editions published between 1965 and 2012 in 4 languages and held by 1,793 WorldCat member libraries worldwide
The new Chapter 1 contains all the fundamental properties of linear differential forms and their integrals. These prepare the reader for the introduction to higherorder exterior differential forms added to Chapter 3. Also found now in Chapter 3 are a new proof of the implicit function theorem by successive approximations and a discus sion of numbers of critical points and of indices of vector fields in two dimensions. Extensive additions were made to the fundamental properties of multiple integrals in Chapters 4 and 5. Here one is faced with a familiar difficulty: integrals over a manifold M, defined easily enough by subdividing M into convenient pieces, must be shown to be inde pendent of the particular subdivision. This is resolved by the sys tematic use of the family of Jordan measurable sets with its finite intersection property and of partitions of unity. In order to minimize topological complications, only manifolds imbedded smoothly into Euclidean space are considered. The notion of "orientation" of a manifold is studied in the detail needed for the discussion of integrals of exterior differential forms and of their additivity properties. On this basis, proofs are given for the divergence theorem and for Stokes's theorem in n dimensions. To the section on Fourier integrals in Chapter 4 there has been added a discussion of Parseval's identity and of multiple Fourier integrals
Plane waves and spherical means applied to partial differential equations by
Fritz John(
Book
)
45 editions published between 1955 and 2013 in 3 languages and held by 763 WorldCat member libraries worldwide
This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results on fairly general differential equations follow from those identities. Explores the decomposition of arbitrary functions into functions of the type of plane waves; Radon transformation; more. 1955 edition
45 editions published between 1955 and 2013 in 3 languages and held by 763 WorldCat member libraries worldwide
This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results on fairly general differential equations follow from those identities. Explores the decomposition of arbitrary functions into functions of the type of plane waves; Radon transformation; more. 1955 edition
Lectures on advanced numerical analysis by
Fritz John(
Book
)
23 editions published between 1966 and 1967 in 4 languages and held by 513 WorldCat member libraries worldwide
23 editions published between 1966 and 1967 in 4 languages and held by 513 WorldCat member libraries worldwide
Nonlinear wave equations, formation of singularities by
Fritz John(
Book
)
16 editions published between 1990 and 1997 in English and held by 324 WorldCat member libraries worldwide
This is the second volume in the University Lecture Series, designed to make more widely available some of the outstanding lectures presented in various institutions around the country. Each year at Lehigh University, a distinguished mathematical scientist presents the Pitcher Lectures in the Mathematical Sciences. This volume contains the Pitcher lectures presented by Fritz John in April 1989. The lectures deal with existence in the large of solutions of initial value problems for nonlinear hyperbolic partial differential equations. As is typical with nonlinear problems, there are many result
16 editions published between 1990 and 1997 in English and held by 324 WorldCat member libraries worldwide
This is the second volume in the University Lecture Series, designed to make more widely available some of the outstanding lectures presented in various institutions around the country. Each year at Lehigh University, a distinguished mathematical scientist presents the Pitcher Lectures in the Mathematical Sciences. This volume contains the Pitcher lectures presented by Fritz John in April 1989. The lectures deal with existence in the large of solutions of initial value problems for nonlinear hyperbolic partial differential equations. As is typical with nonlinear problems, there are many result
Improperly posed boundary value problems by Conference on Improperly Posed Problems in Partial Differential Equations(
Book
)
9 editions published in 1975 in English and held by 320 WorldCat member libraries worldwide
9 editions published in 1975 in English and held by 320 WorldCat member libraries worldwide
Ordinary differential equations by
Fritz John(
Book
)
20 editions published between 1965 and 1990 in English and held by 236 WorldCat member libraries worldwide
20 editions published between 1965 and 1990 in English and held by 236 WorldCat member libraries worldwide
Partial differential equations by
Lipman Bers(
Book
)
41 editions published between 1964 and 1998 in 3 languages and held by 218 WorldCat member libraries worldwide
41 editions published between 1964 and 1998 in 3 languages and held by 218 WorldCat member libraries worldwide
Collected papers by
Fritz John(
Book
)
14 editions published between 1984 and 1985 in English and German and held by 153 WorldCat member libraries worldwide
14 editions published between 1984 and 1985 in English and German and held by 153 WorldCat member libraries worldwide
Special topics in partial differential equations; lectures given in the spring of 1952 by
Fritz John(
Book
)
12 editions published between 1952 and 1953 in 3 languages and held by 103 WorldCat member libraries worldwide
12 editions published between 1952 and 1953 in 3 languages and held by 103 WorldCat member libraries worldwide
Advanced numerical analysis by
Fritz John(
Book
)
9 editions published in 1956 in 3 languages and held by 101 WorldCat member libraries worldwide
9 editions published in 1956 in 3 languages and held by 101 WorldCat member libraries worldwide
Collected papers by
Fritz John(
Book
)
8 editions published in 1985 in English and held by 93 WorldCat member libraries worldwide
8 editions published in 1985 in English and held by 93 WorldCat member libraries worldwide
Differential equations with approximate and improper data. Lecture [given at] New York University, Fall 195455 by
Fritz John(
Book
)
18 editions published between 1955 and 1991 in English and Italian and held by 71 WorldCat member libraries worldwide
18 editions published between 1955 and 1991 in English and Italian and held by 71 WorldCat member libraries worldwide
Miscellanea mathematica by
Michael Francis Atiyah(
)
1 edition published in 1991 in English and held by 60 WorldCat member libraries worldwide
Mathematics has a certain mystique, for it is pure and ex act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu blishing, took up this challenge with his typical enthusi asm. This Festschrift celebrates his invaluable contribu tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's lifelong support of mathematics
1 edition published in 1991 in English and held by 60 WorldCat member libraries worldwide
Mathematics has a certain mystique, for it is pure and ex act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu blishing, took up this challenge with his typical enthusi asm. This Festschrift celebrates his invaluable contribu tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's lifelong support of mathematics
On behavior of solutions of partial differential equations by
Fritz John(
Book
)
4 editions published in 1953 in English and held by 52 WorldCat member libraries worldwide
4 editions published in 1953 in English and held by 52 WorldCat member libraries worldwide
Contributions to the theory of partial differential equations by
Lipman Bers(
Book
)
19 editions published between 1954 and 2016 in English and held by 44 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Partial Differential Equations. (AM33)" is not yet available
19 editions published between 1954 and 2016 in English and held by 44 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Partial Differential Equations. (AM33)" is not yet available
Mathematics applied to physics by
Georges Armand Deschamps(
Book
)
1 edition published in 1970 in English and held by 42 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 42 WorldCat member libraries worldwide
Partial differential equations, 19521953 by
Fritz John(
Book
)
9 editions published between 1953 and 1954 in English and held by 33 WorldCat member libraries worldwide
9 editions published between 1953 and 1954 in English and held by 33 WorldCat member libraries worldwide
Metalcraft by
Fritz John(
Book
)
9 editions published between 1953 and 1958 in English and held by 33 WorldCat member libraries worldwide
9 editions published between 1953 and 1958 in English and held by 33 WorldCat member libraries worldwide
Contributions to the Theory of Partial Differential Equations. (AM33) by
Lipman Bers(
)
2 editions published between 1955 and 2016 in English and held by 30 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Partial Differential Equations. (AM33)" is not yet available
2 editions published between 1955 and 2016 in English and held by 30 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Partial Differential Equations. (AM33)" is not yet available
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Related Identities
 Courant, Richard 18881972 Author of introduction Author
 Sirovich, L. 1933 Author Editor
 Carasso, Alfred Editor
 Bers, Lipman Author Editor
 Stone, Alex P. Editor
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010
 Lehigh University Publisher
 Schechter, Martin Editor
 Courant Institute of Mathematical Sciences
 Moser, Jürgen 1928 Editor
Useful Links
Associated Subjects
Boundary value problemsImproperly posed problems Calculus Differential equations Differential equations, Linear Differential equations, Partial Differential equationsNumerical solutions Equations Functions, Special Global analysis (Mathematics) Handicraft John, Fritz, Kronecker, Leopold, Mathematical analysis Mathematical physics Mathematics Metalwork Nonlinear wave equationsNumerical solutions Number theory Numerical analysis Numerical calculations Physics Rademacher, Hans, Series, Infinite Singularities (Mathematics) Wave equation
Covers
Alternative Names
Džon, F.
Džon, Fric.
Fritz John Amerikaans wiskundige (19101994)
Fritz John amerikansk matematikar
Fritz John amerikansk matematiker
Fritz John mathématicien américain
Fritz John USamerikanischer Mathematiker
John, F.
John, F. 1910
John, F. 19101994
John, F. (Fritz)
John, F. (Fritz), 1910
John, F. (Fritz), 19101994
John, Fritz
John, Fritz, 1910
Jon, F.
Джон, Ф..
Йон, Ф.
Фриц Джон германоамериканский математик
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فريتز يوحنا رياضياتي من الولايات المتحدة الأمريكية
ジョン, F.
ジョン, フリッツ
フリッツ・ジョン
弗瑞茲·約翰
Languages