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Vladimir I. Arnold - Collected Works - Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965 (English,... Vladimir I. Arnold - Collected Works - Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965 (English, Russian, Hardcover, 2010 ed.)
Vladimir I. Arnold; Edited by Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, …
R5,063 Discovery Miles 50 630 Ships in 10 - 15 working days

Vladimir Igorevich Arnold is one of the most influential mathematicians of our time. V. I. Arnold launched several mathematical domains (such as modern geometric mechanics, symplectic topology, and topological fluid dynamics) and contributed, in a fundamental way, to the foundations and methods in many subjects, from ordinary differential equations and celestial mechanics to singularity theory and real algebraic geometry. Even a quick look at a partial list of notions named after Arnold already gives an overview of the variety of such theories and domains: KAM (Kolmogorov-Arnold-Moser) theory, The Arnold conjectures in symplectic topology, The Hilbert-Arnold problem for the number of zeros of abelian integrals, Arnold's inequality, comparison, and complexification method in real algebraic geometry, Arnold-Kolmogorov solution of Hilbert's 13th problem, Arnold's spectral sequence in singularity theory, Arnold diffusion, The Euler-Poincare-Arnold equations for geodesics on Lie groups, Arnold's stability criterion in hydrodynamics, ABC (Arnold-Beltrami-Childress) ?ows in ?uid dynamics, The Arnold-Korkina dynamo, Arnold's cat map, The Arnold-Liouville theorem in integrable systems, Arnold's continued fractions, Arnold's interpretation of the Maslov index, Arnold's relation in cohomology of braid groups, Arnold tongues in bifurcation theory, The Jordan-Arnold normal forms for families of matrices, The Arnold invariants of plane curves. Arnold wrote some 700 papers, and many books, including 10 university textbooks. He is known for his lucid writing style, which combines mathematical rigour with physical and geometric intuition. Arnold's books on Ordinarydifferentialequations and Mathematical methodsofclassicalmechanics became mathematical bestsellers and integral parts of the mathematical education of students throughout the world.

Vladimir I. Arnold - Collected Works, 2 - Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 (English, French,... Vladimir I. Arnold - Collected Works, 2 - Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 (English, French, Russian, Hardcover, 2014 ed.)
Vladimir I. Arnold; Edited by Alexander B. Givental, Boris A Khesin, Jerrold Marsden, Alexander N. Varchenko, …
R4,563 Discovery Miles 45 630 Ships in 10 - 15 working days

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.

Vladimir I. Arnold - Collected Works, 2 - Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 (English, French,... Vladimir I. Arnold - Collected Works, 2 - Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 (English, French, Paperback, Softcover reprint of the original 1st ed. 2014)
Vladimir I. Arnold; Edited by Alexander B. Givental, Alexander N. Varchenko, Boris A Khesin, Victor A. Vassiliev, …
R4,541 Discovery Miles 45 410 Ships in 10 - 15 working days

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.

Vladimir I. Arnold - Collected Works - Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965 (English,... Vladimir I. Arnold - Collected Works - Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965 (English, Russian, Paperback, 2010 ed.)
Vladimir I. Arnold; Edited by Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, …
R5,027 Discovery Miles 50 270 Ships in 10 - 15 working days

Vladimir Igorevich Arnold is one of the most influential mathematicians of our time. V. I. Arnold launched several mathematical domains (such as modern geometric mechanics, symplectic topology, and topological fluid dynamics) and contributed, in a fundamental way, to the foundations and methods in many subjects, from ordinary differential equations and celestial mechanics to singularity theory and real algebraic geometry. Even a quick look at a partial list of notions named after Arnold already gives an overview of the variety of such theories and domains: KAM (Kolmogorov-Arnold-Moser) theory, The Arnold conjectures in symplectic topology, The Hilbert-Arnold problem for the number of zeros of abelian integrals, Arnold's inequality, comparison, and complexification method in real algebraic geometry, Arnold-Kolmogorov solution of Hilbert's 13th problem, Arnold's spectral sequence in singularity theory, Arnold diffusion, The Euler-Poincare-Arnold equations for geodesics on Lie groups, Arnold's stability criterion in hydrodynamics, ABC (Arnold-Beltrami-Childress) ?ows in ?uid dynamics, The Arnold-Korkina dynamo, Arnold's cat map, The Arnold-Liouville theorem in integrable systems, Arnold's continued fractions, Arnold's interpretation of the Maslov index, Arnold's relation in cohomology of braid groups, Arnold tongues in bifurcation theory, The Jordan-Arnold normal forms for families of matrices, The Arnold invariants of plane curves. Arnold wrote some 700 papers, and many books, including 10 university textbooks. He is known for his lucid writing style, which combines mathematical rigour with physical and geometric intuition. Arnold's books on Ordinarydifferentialequations and Mathematical methodsofclassicalmechanics became mathematical bestsellers and integral parts of the mathematical education of students throughout the world."

Singularities of Differentiable Maps, Volume 1 - Classification of Critical Points, Caustics and Wave Fronts (Paperback, 2012... Singularities of Differentiable Maps, Volume 1 - Classification of Critical Points, Caustics and Wave Fronts (Paperback, 2012 ed.)
V. I. Arnol'd, S.M. Gusein-Zade, Alexander N. Varchenko
R3,058 Discovery Miles 30 580 Ships in 10 - 15 working days

Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science. The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities. The second volume describes the topological and algebro-geometrical aspects of the theory: monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities.

The first volume has been adapted for the needs of non-mathematicians, presupposing a limited mathematical background and beginning at an elementary level. With this foundation, the book's sophisticated development permits readers to explore more applications than previous books on singularities."

Singularities of Differentiable Maps, Volume 2 - Monodromy and Asymptotics of Integrals (Paperback, 2012 ed.): Elionora Arnold,... Singularities of Differentiable Maps, Volume 2 - Monodromy and Asymptotics of Integrals (Paperback, 2012 ed.)
Elionora Arnold, S.M. Gusein-Zade, Alexander N. Varchenko
R2,610 Discovery Miles 26 100 Ships in 10 - 15 working days

The present volume is the second in a two-volume set entitled "Singularities of Differentiable Maps." While the first volume, subtitled "Classification of Critical Points" and originallypublishedas Volume82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of theanatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function."

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