John, Fritz 19101994
Overview
Works:  153 works in 575 publications in 8 languages and 7,515 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Dedicatee, Honoree, Other, Contributor 
Classifications:  QA1, 515.353 
Publication Timeline
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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 )
 Double issues dedicated to the memory of Fritz John( Book )
 Die integrasie van liniere en kwasieliniere paraboliese differensiaalvergelykings volgens die metode van eindige differensies, soos behandel deur Fritz John by G Geldenhuys( )
Most widely held works by
Fritz John
Partial differential equations by
Fritz John(
Book
)
104 editions published between 1952 and 2009 in 6 languages and held by 1,668 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
104 editions published between 1952 and 2009 in 6 languages and held by 1,668 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
)
41 editions published between 1965 and 2000 in 4 languages and held by 1,295 WorldCat member libraries worldwide
Biography of Richard Courant Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence. For Courant mathematics was an adventure, with applications forming a vital part. This spirit is reflected in his books, in particular in his influential calculus text, revised in collaboration with his brilliant younger colleague, Fritz John. (P.D. Lax) Biography of Fritz John Fritz John was born on June 14, 1910, in Berlin. After his school years in Danzig (now Gdansk, Poland), he studied in Göttingen and received his doctorate in 1933, just when the Nazi regime came to power. As he was halfJewish and his bride Aryan, he had to flee Germany in 1934. After a year in Cambridge, UK, he accepted a position at the University of Kentucky, and in 1946 joined Courant, Friedrichs and Stoker in building up New York University the institute that later became the Courant Institute of Mathematical Sciences. He remained there until his death in New Rochelle on February 10, 1994. John's research and the books he wrote had a strong impact on the development of many fields of mathematics, foremost in partial differential equations. He also worked on Radon transforms, illposed problems, convex geometry, numerical analysis, elasticity theory. In connection with his work in latter field, he and Nirenberg introduced the space of the BMOfunctions (bounded mean oscillations). Fritz John's work exemplifies the unity of mathematics as well as its elegance and its beauty. (J. Moser)
41 editions published between 1965 and 2000 in 4 languages and held by 1,295 WorldCat member libraries worldwide
Biography of Richard Courant Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence. For Courant mathematics was an adventure, with applications forming a vital part. This spirit is reflected in his books, in particular in his influential calculus text, revised in collaboration with his brilliant younger colleague, Fritz John. (P.D. Lax) Biography of Fritz John Fritz John was born on June 14, 1910, in Berlin. After his school years in Danzig (now Gdansk, Poland), he studied in Göttingen and received his doctorate in 1933, just when the Nazi regime came to power. As he was halfJewish and his bride Aryan, he had to flee Germany in 1934. After a year in Cambridge, UK, he accepted a position at the University of Kentucky, and in 1946 joined Courant, Friedrichs and Stoker in building up New York University the institute that later became the Courant Institute of Mathematical Sciences. He remained there until his death in New Rochelle on February 10, 1994. John's research and the books he wrote had a strong impact on the development of many fields of mathematics, foremost in partial differential equations. He also worked on Radon transforms, illposed problems, convex geometry, numerical analysis, elasticity theory. In connection with his work in latter field, he and Nirenberg introduced the space of the BMOfunctions (bounded mean oscillations). Fritz John's work exemplifies the unity of mathematics as well as its elegance and its beauty. (J. Moser)
Plane waves and spherical means applied to partial differential equations by
Fritz John(
Book
)
26 editions published between 1955 and 2004 in 3 languages and held by 592 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
26 editions published between 1955 and 2004 in 3 languages and held by 592 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
Lectures on advanced numerical analysis by
Fritz John(
Book
)
13 editions published between 1966 and 1967 in 3 languages and held by 494 WorldCat member libraries worldwide
13 editions published between 1966 and 1967 in 3 languages and held by 494 WorldCat member libraries worldwide
Partial differential equations by
Fritz John(
Book
)
8 editions published in 1971 in English and held by 436 WorldCat member libraries worldwide
8 editions published in 1971 in English and held by 436 WorldCat member libraries worldwide
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 324 WorldCat member libraries worldwide
9 editions published in 1975 in English and held by 324 WorldCat member libraries worldwide
Nonlinear wave equations, formation of singularities by
Fritz John(
Book
)
9 editions published between 1990 and 1997 in English and held by 263 WorldCat member libraries worldwide
9 editions published between 1990 and 1997 in English and held by 263 WorldCat member libraries worldwide
Ordinary differential equations by
Fritz John(
Book
)
16 editions published between 1965 and 1990 in English and held by 223 WorldCat member libraries worldwide
16 editions published between 1965 and 1990 in English and held by 223 WorldCat member libraries worldwide
Collected papers by
Fritz John(
Book
)
9 editions published between 1984 and 1985 in English and German and held by 148 WorldCat member libraries worldwide
9 editions published between 1984 and 1985 in English and German and held by 148 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
Book
)
40 editions published between 1974 and 2012 in English and Undetermined and held by 115 WorldCat member libraries worldwide
El Vol. 1 abarca los capítulos del 1 al 4; el vol. 2, del 5 al 8
40 editions published between 1974 and 2012 in English and Undetermined and held by 115 WorldCat member libraries worldwide
El Vol. 1 abarca los capítulos del 1 al 4; el vol. 2, del 5 al 8
Special topics in partial differential equations; lectures given in the spring of 1952 by
Fritz John(
Book
)
11 editions published between 1952 and 1953 in 3 languages and held by 97 WorldCat member libraries worldwide
11 editions published between 1952 and 1953 in 3 languages and held by 97 WorldCat member libraries worldwide
Advanced numerical analysis by
Fritz John(
Book
)
8 editions published in 1956 in 3 languages and held by 97 WorldCat member libraries worldwide
8 editions published in 1956 in 3 languages and held by 97 WorldCat member libraries worldwide
Differential equations with approximate and improper data. Lecture [given at] New York University, Fall 195455 by
Fritz John(
Book
)
17 editions published between 1955 and 1991 in 3 languages and held by 69 WorldCat member libraries worldwide
17 editions published between 1955 and 1991 in 3 languages and held by 69 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
Book
)
17 editions published between 1965 and 2008 in English and French and held by 67 WorldCat member libraries worldwide
From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is wellillustrated, wellmotivated and very wellprovided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471)
17 editions published between 1965 and 2008 in English and French and held by 67 WorldCat member libraries worldwide
From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is wellillustrated, wellmotivated and very wellprovided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471)
On behavior of solutions of partial differential equations by
Fritz John(
Book
)
5 editions published in 1953 in English and Undetermined and held by 52 WorldCat member libraries worldwide
5 editions published in 1953 in English and Undetermined and held by 52 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
Book
)
20 editions published between 1965 and 1999 in English and Undetermined and held by 51 WorldCat member libraries worldwide
20 editions published between 1965 and 1999 in English and Undetermined and held by 51 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 42 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 42 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Partial Differential Equations. (AM33)" is not yet available
Partial differential equations, 19521953 by
Fritz John(
Book
)
8 editions published between 1953 and 1954 in English and held by 35 WorldCat member libraries worldwide
8 editions published between 1953 and 1954 in English and held by 35 WorldCat member libraries worldwide
Metalcraft by
Fritz John(
Book
)
9 editions published between 1953 and 1958 in English and held by 34 WorldCat member libraries worldwide
9 editions published between 1953 and 1958 in English and held by 34 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
Book
)
6 editions published between 1974 and 1989 in English and French and held by 14 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
6 editions published between 1974 and 1989 in English and French and held by 14 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
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Audience Level
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Related Identities
 Courant, Richard 18881972 Author
 Sirovich, L. 1933 Editor
 Carasso, Alfred Editor
 Stone, Alex P. Editor
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010
 Lehigh University Publisher
 Bers, Lipman Author Editor
 Courant Institute of Mathematical Sciences
 Moser, Jürgen 1928 Editor
 Schechter, Martin
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 Rademacher, Hans, Series, Infinite Singularities (Mathematics)
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
Jon, F.
Джон, Ф..
Йон, Ф.
Фриц Джон германоамериканский математик
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ジョン, F.
ジョン, フリッツ
フリッツ・ジョン
弗瑞茲·約翰
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