Fritz john collected papers (43 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The mathematical works of Fritz John whose deep and original ideas have had a great influence on the development of various fields in mathema tical analysis are made available with these volumes. His works are certainly well known to the experts, but knowledge of his contributions may not have spread as widely as it should have. For example, the concept of functions of bounded mean oscillations plays a central role in harmonic analysis today, but it is perhaps less known that this class of functions was introduced by John as early as 1961, motivated by his work in elasticity theory. With the publication of this collection, a wider circle of mathematicians will become familiar with, and appreciate, the fertile ideas of Fritz John. The organization of these two volumes was undertaken in consultation with the author. It was decided not to present the papers in chronological order, but rather to subdivide them into ten sections representing different mathematical topics to which John has contributed. Commentaries made by experts in the fields are appended to each section. Since the division into sec tions could, of course, not be made sharply, there are several overlaps. For instance, the comments of Louis Nirenberg refer to Elasticity Theory VI, Geometric Inequalities VIII, and Functions of Bounded Mean Oscillations IX. To help the reader, cross-references and remarks by the author will be found at the end of each section.…

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The mathematical works of Fritz John whose deep and original ideas have had a great influence on the development of various fields in mathema tical analysis are made available with these volumes. His works are certainly well known to the experts, but knowledge of his contributions may not have spread as widely as it should have. For example, the concept of functions of bounded mean oscillations plays a central role in harmonic analysis today, but it is perhaps less known that this class of functions was introduced by John as early as 1961, motivated by his work in elasticity theory. With the publication of this collection, a wider circle of mathematicians will become familiar with, and appreciate, the fertile ideas of Fritz John. The organization of these two volumes was undertaken in consultation with the author. It was decided not to present the papers in chronological order, but rather to subdivide them into ten sections representing different mathematical topics to which John has contributed. Commentaries made by experts in the fields are appended to each section. Since the division into sec tions could, of course, not be made sharply, there are several overlaps. For instance, the comments of Louis Nirenberg refer to Elasticity Theory VI, Geometric Inequalities VIII, and Functions of Bounded Mean Oscillations IX. To help the reader, cross-references and remarks by the author will be found at the end of each section.…

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Fritz John; Collected Works Contents - Volume 2.- V Papers on Numerical Methods.- [29] On integration of parabolic equations by difference methods (1952).- Commentary on [29].- VI Papers on Elasticity Theory.- [46] Plane strain problems for a perfectly elastic material of harmonic type (1960).- [51a] Perfectly elastic bodies of harmonic type (1963).- [56] Estimates for the derivatives of the stresses in a thin shell and interior shell equations (1965).- [59] Plane elastic waves of finite amplitude (1966).- [70] Distance changes in deformations with small strain (1970).- [71] Refined interior equations for thin plastic shells (1971).- [74] The transition from thin plate to membrane in the case of a plate under uniform tension (1972).- [75] Uniqueness of nonlinear elastic equilibrium for prescribed boundary displacements and sufficiently small strains (1972).- [80] The transition from thin plate to membrane in the equations of V. Karman-Föppl (1975).- [87] Finite amplitude waves in a homogeneous isotropic elastic solid (1977).- [96] Instability of finite amplitude elastic waves (1981).- Commentary on [56], [71], and [74].- VII Papers on Water Waves.- [18] Waves in the presence of an inclined barrier (1948).- [22] On the motion of floating bodies, I (1949).- [24] On the motion of floating bodies, II (1950).- [32] Two-dimensional potential flows with a free boundary (1953).- Commentary on [22], [24], and [32].- VIII Papers on Geometric Inequaities and Convexity.- [5] Moments of inertia of convex regions (1936).- [7] Polar correspondence with respect to a convex region (1937).- [10] Special solutions of certain difference equations (1939).- [11] An inequality for convex bodies (1940).- [12] Discontinuous convex solutions of difference equations (1941).- [17] Extremumproblems with inequalities as subsidiary conditions (1948).- [60] On symmetric matrices whose eigenvalues satisfy linear inequalities (1966).- [65] A note on my paper, 'On symmetric matrices whose eigenvalues satisfy linear inequalities' (1968).- [63] On quasi-isometric mappings, I (1968).- [63a] Note on the paper, 'On quasi-isometric mappings, I' (1972).- [64] On quasi-isometric mappings, II (1969).- [73] Bounds for deformations in terms of average strains (1972).- [84] A criterion for univalencv brought up to date (1976).- Remarks on [17], [63], [64], and [84].- Commentary on [17].- IX Papers on Functions of Bounded Mean Oscillations.- [48] Rotation and strain (1961).- [49] (With L. Nirenberg) On Functions of bounded mean oscillation (1961).- [54] Quasi-isometric mappings (1964).- [78] Inunctions whose gradient is bounded by reciprocal distance from the boundary of their domain (1974).- Remark on [48].- Commentary on [48], [49], [54], [63], [64], [75], and [51a].- X Miscellaneous.- [1] Über die Vollständigkeit der Relationen von Morse für die Anzahlen kritischer Punkte (1943).- [3] Identitaten zwischen dem Integral einer willktirlüchen Funktion und unendlichen Reihen (1935).- [116] A representation of Stieltjes integrals by conditionally convergent series (1937).- [20] On harmonic vibrations out of phase with the exciting force (1948).- Collected Mathematical Papers ordered chronologically according to the date of original publication.…

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The mathematical works of Fritz John whose deep and original ideas have had a great influence on the development of various fields in mathema tical analysis are made available with these volumes. His works are certainly well known to the experts, but knowledge of his contributions may not have spread as widely as it should have. For example, the concept of functions of bounded mean oscillations plays a central role in harmonic analysis today, but it is perhaps less known that this class of functions was introduced by John as early as 1961, motivated by his work in elasticity theory. With the publication of this collection, a wider circle of mathematicians will become familiar with, and appreciate, the fertile ideas of Fritz John. The organization of these two volumes was undertaken in consultation with the author. It was decided not to present the papers in chronological order, but rather to subdivide them into ten sections representing different mathematical topics to which John has contributed. Commentaries made by experts in the fields are appended to each section. Since the division into sec tions could, of course, not be made sharply, there are several overlaps. For instance, the comments of Louis Nirenberg refer to Elasticity Theory VI, Geometric Inequalities VIII, and Functions of Bounded Mean Oscillations IX. To help the reader, cross-references and remarks by the author will be found at the end of each section.'.…

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Fritz John; Collected Works Contents - Volume 2.- V Papers on Numerical Methods.- [29] On integration of parabolic equations by difference methods (1952).- Commentary on [29].- VI Papers on Elasticity Theory.- [46] Plane strain problems for a perfectly elastic material of harmonic type (1960).- [51a] Perfectly elastic bodies of harmonic type (1963).- [56] Estimates for the derivatives of the stresses in a thin shell and interior shell equations (1965).- [59] Plane elastic waves of finite amplitude (1966).- [70] Distance changes in deformations with small strain (1970).- [71] Refined interior equations for thin plastic shells (1971).- [74] The transition from thin plate to membrane in the case of a plate under uniform tension (1972).- [75] Uniqueness of nonlinear elastic equilibrium for prescribed boundary displacements and sufficiently small strains (1972).- [80] The transition from thin plate to membrane in the equations of V. Karman-Föppl (1975).- [87] Finite amplitude waves in a homogeneous isotropic elastic solid (1977).- [96] Instability of finite amplitude elastic waves (1981).- Commentary on [56], [71], and [74].- VII Papers on Water Waves.- [18] Waves in the presence of an inclined barrier (1948).- [22] On the motion of floating bodies, I (1949).- [24] On the motion of floating bodies, II (1950).- [32] Two-dimensional potential flows with a free boundary (1953).- Commentary on [22], [24], and [32].- VIII Papers on Geometric Inequaities and Convexity.- [5] Moments of inertia of convex regions (1936).- [7] Polar correspondence with respect to a convex region (1937).- [10] Special solutions of certain difference equations (1939).- [11] An inequality for convex bodies (1940).- [12] Discontinuous convex solutions of difference equations (1941).- [17] Extremumproblems with inequalities as subsidiary conditions (1948).- [60] On symmetric matrices whose eigenvalues satisfy linear inequalities (1966).- [65] A note on my paper, 'On symmetric matrices whose eigenvalues satisfy linear inequalities' (1968).- [63] On quasi-isometric mappings, I (1968).- [63a] Note on the paper, 'On quasi-isometric mappings, I' (1972).- [64] On quasi-isometric mappings, II (1969).- [73] Bounds for deformations in terms of average strains (1972).- [84] A criterion for univalencv brought up to date (1976).- Remarks on [17], [63], [64], and [84].- Commentary on [17].- IX Papers on Functions of Bounded Mean Oscillations.- [48] Rotation and strain (1961).- [49] (With L. Nirenberg) On Functions of bounded mean oscillation (1961).- [54] Quasi-isometric mappings (1964).- [78] Inunctions whose gradient is bounded by reciprocal distance from the boundary of their domain (1974).- Remark on [48].- Commentary on [48], [49], [54], [63], [64], [75], and [51a].- X Miscellaneous.- [1] Über die Vollständigkeit der Relationen von Morse für die Anzahlen kritischer Punkte (1943).- [3] Identitaten zwischen dem Integral einer willktirlüchen Funktion und unendlichen Reihen (1935).- [116] A representation of Stieltjes integrals by conditionally convergent series (1937).- [20] On harmonic vibrations out of phase with the exciting force (1948).- Collected Mathematical Papers ordered chronologically according to the date of original publication.…

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