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• catalog abstract ""For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. Mathematical analysis during the 20th century sets off by tracing the evolution of mathematical analysis, and then endeavours to understand the developments of main trends, problems, and conjectures. The book provides many original quotations from mathematicians as well as an extensive bibliography of the seminal publications. It will be an interesting and useful reference work for graduate students, lecturers, and all professional mathematicians and other scientists with an interest in the history of mathematics."--Jacket.".
• catalog alternative "Mathematical analysis during the twentieth century".
• catalog contributor b12209503.
• catalog created "c2001.".
• catalog date "2001".
• catalog date "c2001.".
• catalog dateCopyrighted "c2001.".
• catalog description ""For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. Mathematical analysis during the 20th century sets off by tracing the evolution of mathematical analysis, and then endeavours to understand the developments of main trends, problems, and conjectures. The book provides many original quotations from mathematicians as well as an extensive bibliography of the seminal publications. It will be an interesting and useful reference work for graduate students, lecturers, and all professional mathematicians and other scientists with an interest in the history of mathematics."--Jacket.".
• catalog description "Includes bibliographical references (p. [350]-409) and indexes.".
• catalog description "The great classics on analysis -- The changing object of analysis -- Main streams in a turbulent activity -- The question of subdividing mathematical analysis -- How to organize the subject -- General Topology -- Evolution 1900-1950 -- Topological axiomatizations -- Topological algebra -- Filtrations -- Dimension theory -- Complementary inputs -- Flashes 1950-2000 -- An accomplished subject -- Generalized topological concepts -- Integration and Measure -- Evolution 1900-1950 -- Lebesgue integration -- The general concept of measure -- Paradoxical decomposition -- Period of consolidation -- Flashes 1950-2000 -- Standing problems -- Abstract formulations -- Generalized Riemann integrals -- Outlook -- Functional analysis -- Evolution 1900-1950 -- New objectives -- Theory of integral equations -- Banach spaces -- Hilbert spaces -- von Neumann algebras -- Banach algebras -- Distributions -- Flashes 1950-2000 -- Topological vector spaces -- Extension of Weierstra[beta]'s theorem -- Frechet spaces, Schwartz spaces, Sobolev spaces -- Banach space properties -- Hilbert space properties -- Banach algebra and C*-algebra properties -- Approximation properties -- Nuclearity -- von Neumann algebra properties -- Specific topics -- Harmonic analysis -- Evolution 1900-1950 -- Fourier series -- Invariant measures -- Almost periodic functions -- Uniqueness of invariant measures -- Convolutions -- An evolution linked to the history of physics -- Representation theory -- Structural properties of topological groups.".
• catalog extent "x, 428 p. ;".
• catalog identifier "0198503946 (acid-free paper)".
• catalog issued "2001".
• catalog issued "c2001.".
• catalog language "eng".
• catalog publisher "Oxford ; New York : Oxford University Press,".
• catalog subject "515/.09/04 21".
• catalog subject "Mathematical analysis History 20th century.".
• catalog subject "QA300 .P6154 2001".
• catalog tableOfContents "The great classics on analysis -- The changing object of analysis -- Main streams in a turbulent activity -- The question of subdividing mathematical analysis -- How to organize the subject -- General Topology -- Evolution 1900-1950 -- Topological axiomatizations -- Topological algebra -- Filtrations -- Dimension theory -- Complementary inputs -- Flashes 1950-2000 -- An accomplished subject -- Generalized topological concepts -- Integration and Measure -- Evolution 1900-1950 -- Lebesgue integration -- The general concept of measure -- Paradoxical decomposition -- Period of consolidation -- Flashes 1950-2000 -- Standing problems -- Abstract formulations -- Generalized Riemann integrals -- Outlook -- Functional analysis -- Evolution 1900-1950 -- New objectives -- Theory of integral equations -- Banach spaces -- Hilbert spaces -- von Neumann algebras -- Banach algebras -- Distributions -- Flashes 1950-2000 -- Topological vector spaces -- Extension of Weierstra[beta]'s theorem -- Frechet spaces, Schwartz spaces, Sobolev spaces -- Banach space properties -- Hilbert space properties -- Banach algebra and C*-algebra properties -- Approximation properties -- Nuclearity -- von Neumann algebra properties -- Specific topics -- Harmonic analysis -- Evolution 1900-1950 -- Fourier series -- Invariant measures -- Almost periodic functions -- Uniqueness of invariant measures -- Convolutions -- An evolution linked to the history of physics -- Representation theory -- Structural properties of topological groups.".
• catalog title "Mathematical analysis during the 20th century / Jean-Paul Pier.".
• catalog title "Mathematical analysis during the twentieth century".
• catalog type "History. fast".
• catalog type "text".