John, Fritz 19101994
Overview
Works:  237 works in 839 publications in 8 languages and 8,354 library holdings 

Genres:  Festschriften Conference papers and proceedings 
Roles:  Author, Editor, Author of introduction, Dedicatee, Honoree, Other, Contributor 
Classifications:  QA374, 515.353 
Publication Timeline
.
Most widely held works about
Fritz John
 Trends and perspectives in applied mathematics by Fritz John( 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
)
96 editions published between 1952 and 2013 in 5 languages and held by 2,166 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
96 editions published between 1952 and 2013 in 5 languages and held by 2,166 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
)
126 editions published between 1965 and 2012 in 4 languages and held by 1,601 WorldCat member libraries worldwide
El Vol. 1 abarca los capítulos del 1 al 4; el vol. 2, del 5 al 8
126 editions published between 1965 and 2012 in 4 languages and held by 1,601 WorldCat member libraries worldwide
El Vol. 1 abarca los capítulos del 1 al 4; el vol. 2, del 5 al 8
Plane waves and spherical means applied to partial differential equations by
Fritz John(
Book
)
46 editions published between 1955 and 2013 in 3 languages and held by 780 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
46 editions published between 1955 and 2013 in 3 languages and held by 780 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
)
24 editions published between 1966 and 1967 in 4 languages and held by 516 WorldCat member libraries worldwide
24 editions published between 1966 and 1967 in 4 languages and held by 516 WorldCat member libraries worldwide
Nonlinear wave equations, formation of singularities by
Fritz John(
Book
)
17 editions published between 1990 and 1997 in English and Undetermined and held by 321 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
17 editions published between 1990 and 1997 in English and Undetermined and held by 321 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 between 1975 and 1978 in English and Undetermined and held by 315 WorldCat member libraries worldwide
9 editions published between 1975 and 1978 in English and Undetermined and held by 315 WorldCat member libraries worldwide
Ordinary differential equations by
Fritz John(
Book
)
20 editions published between 1964 and 1990 in English and Undetermined and held by 242 WorldCat member libraries worldwide
20 editions published between 1964 and 1990 in English and Undetermined and held by 242 WorldCat member libraries worldwide
Partial differential equations by
Lipman Bers(
Book
)
34 editions published between 1953 and 1998 in 3 languages and held by 222 WorldCat member libraries worldwide
34 editions published between 1953 and 1998 in 3 languages and held by 222 WorldCat member libraries worldwide
Collected papers by
Fritz John(
Book
)
6 editions published in 1985 in English and held by 144 WorldCat member libraries worldwide
6 editions published in 1985 in English and held by 144 WorldCat member libraries worldwide
Special topics in partial differential equations; lectures given in the spring of 1952 by
Fritz John(
Book
)
14 editions published between 1952 and 1953 in 3 languages and held by 105 WorldCat member libraries worldwide
14 editions published between 1952 and 1953 in 3 languages and held by 105 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
)
12 editions published between 1965 and 2008 in English and French and held by 103 WorldCat member libraries worldwide
From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (...)
12 editions published between 1965 and 2008 in English and French and held by 103 WorldCat member libraries worldwide
From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (...)
Advanced numerical analysis by
Fritz John(
Book
)
10 editions published in 1956 in 3 languages and held by 103 WorldCat member libraries worldwide
10 editions published in 1956 in 3 languages and held by 103 WorldCat member libraries worldwide
Introduction to calculus and analysis by
Richard Courant(
)
22 editions published between 1965 and 2010 in 3 languages and held by 97 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
22 editions published between 1965 and 2010 in 3 languages and held by 97 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
Differential equations with approximate and improper data. Lecture [given at] New York University, Fall 195455 by
Fritz John(
Book
)
20 editions published between 1954 and 1991 in English and Undetermined and held by 73 WorldCat member libraries worldwide
20 editions published between 1954 and 1991 in English and Undetermined and held by 73 WorldCat member libraries worldwide
Miscellanea mathematica by
Michael Francis Atiyah(
)
1 edition published in 1991 in English and held by 59 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 59 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
Partial Differential Equations by
Fritz John(
)
1 edition published in 1975 in English and held by 58 WorldCat member libraries worldwide
These Notes grew out of a course given by the author in 195253. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. Added to this second corrected edition is a collection of problems and solutions, which illustrate and supplement the theories developed in the text. Fritz John New York September, 1974 vii TABLE OF CONTENTS Introd uction 1 CHAPrER I  THE SINGLE FIRST ORDER EQUATION 1. The linear and quasilinear equations. 6 2. The general first order equation for a function of two variables. • • • • • • • • • 15 The general first order equation for a function 3. of n independent variables. • • • • • 37 CHAPrER II  THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables • 48 2. Formulation of the Cauchy problem. The notion of characteristics. • • • 54 3. The Cauchy problem for the general nonlinear equation ••• 71 4. The CauchyKowalewsky theorem. 76 CHAPTER III  SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables
1 edition published in 1975 in English and held by 58 WorldCat member libraries worldwide
These Notes grew out of a course given by the author in 195253. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. Added to this second corrected edition is a collection of problems and solutions, which illustrate and supplement the theories developed in the text. Fritz John New York September, 1974 vii TABLE OF CONTENTS Introd uction 1 CHAPrER I  THE SINGLE FIRST ORDER EQUATION 1. The linear and quasilinear equations. 6 2. The general first order equation for a function of two variables. • • • • • • • • • 15 The general first order equation for a function 3. of n independent variables. • • • • • 37 CHAPrER II  THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables • 48 2. Formulation of the Cauchy problem. The notion of characteristics. • • • 54 3. The Cauchy problem for the general nonlinear equation ••• 71 4. The CauchyKowalewsky theorem. 76 CHAPTER III  SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables
Collected papers by
Fritz John(
Book
)
4 editions published in 1985 in English and Undetermined and held by 52 WorldCat member libraries worldwide
4 editions published in 1985 in English and Undetermined and held by 52 WorldCat member libraries worldwide
On behavior of solutions of partial differential equations by
Fritz John(
Book
)
2 editions published in 1953 in English and held by 49 WorldCat member libraries worldwide
2 editions published in 1953 in English and held by 49 WorldCat member libraries worldwide
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
Introduction to calculus and analysis by
Richard Courant(
Book
)
16 editions published between 1974 and 2012 in English and held by 40 WorldCat member libraries worldwide
16 editions published between 1974 and 2012 in English and held by 40 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Courant, Richard 18881972 Author of introduction Author
 Sirovich, L. 1933 Author Editor
 Bers, Lipman Author Editor
 Carasso, Alfred Editor
 Stone, Alex P. Editor
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010
 Lehigh University Publisher
 Schechter, Martin Editor
 Moser, Jürgen 1928 Other Editor
 Courant Institute of Mathematical Sciences
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) John, Fritz, Kronecker, Leopold, Mathematical analysis Mathematical physics Mathematics 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
Ֆրից Ջոն
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