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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, …
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R4,022
Discovery Miles 40 220
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Ships in 12 - 17 working days
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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.
Volume III of the Collected Works of V.I. Arnold contains papers
written in the years 1972 to 1979. The main theme emerging in
Arnold's work of this period is the development of singularity
theory of smooth functions and mappings. The volume also contains
papers by V.I. Arnold on catastrophe theory and on A.N.
Kolmogorov's school, his prefaces to Russian editions of several
books related to singularity theory, V. Arnold's lectures on
bifurcations of discrete dynamical systems, as well as a review by
V.I. Arnold and Ya.B. Zeldovich of V.V. Beletsky's book on
celestial mechanics. 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.
Volume III of the Collected Works of V.I. Arnold contains papers
written in the years 1972 to 1979. The main theme emerging in
Arnold's work of this period is the development of singularity
theory of smooth functions and mappings. The volume also contains
papers by V.I. Arnold on catastrophe theory and on A.N.
Kolmogorov's school, his prefaces to Russian editions of several
books related to singularity theory, V. Arnold's lectures on
bifurcations of discrete dynamical systems, as well as a review by
V.I. Arnold and Ya.B. Zeldovich of V.V. Beletsky's book on
celestial mechanics. 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.
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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, …
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R4,818
Discovery Miles 48 180
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Ships in 10 - 15 working days
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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, Russian, Paperback, 2010 ed.)
Vladimir I. Arnold; Edited by Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, …
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R5,335
Discovery Miles 53 350
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Ships in 10 - 15 working days
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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."
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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, …
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R5,373
Discovery Miles 53 730
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Ships in 10 - 15 working days
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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.
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VLADIMIR I. ARNOLD-Collected Works - Dynamics, Combinatorics, and Invariants of Knots, Curves, and Wave Fronts 1992-1995 (Hardcover, 1st ed. 2023)
Vladimir I. Arnold; Edited by Alexander B. Givental, Boris A Khesin, Mikhail B. Sevryuk, Victor A. Vassiliev, …
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R3,733
Discovery Miles 37 330
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Ships in 12 - 17 working days
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This volume 6 of the Collected Works comprises 27 papers by
V.I.Arnold, one of the most outstanding mathematicians of all
times, written in 1991 to 1995. During this period Arnold's
interests covered Vassiliev's theory of invariants and knots,
invariants and bifurcations of plane curves, combinatorics of
Bernoulli, Euler and Springer numbers, geometry of wave fronts, the
Berry phase and quantum Hall effect. The articles include a list of
problems in dynamical systems, a discussion of the problem of
(in)solvability of equations, papers on symplectic geometry of
caustics and contact geometry of wave fronts, comments on problems
of A.D.Sakharov, as well as a rather unusual paper on projective
topology. The interested reader will certainly enjoy Arnold's 1994
paper on mathematical problems in physics with the opening by-now
famous phrase "Mathematics is the name for those domains of
theoretical physics that are temporarily unfashionable." The book
will be of interest to the wide audience from college students to
professionals in mathematics or physics and in the history of
science. The volume also includes translations of two interviews
given by Arnold to the French and Spanish media. One can see how
worried he was about the fate of Russian and world mathematics and
science in general.
Volume IV of the Collected Works of V.I. Arnold includes papers
written mostly during the period from 1980 to 1985. Arnold's work
of this period is so multifaceted that it is almost impossible to
give a single unifying theme for it. It ranges from properties of
integral convex polygons to the large-scale structure of the
Universe. Also during this period Arnold wrote eight papers related
to magnetic dynamo problems, which were included in Volume II,
mostly devoted to hydrodynamics. Thus the topic of singularities in
symplectic and contact geometry was chosen only as a "marker" for
this volume.There are many articles specifically translated for
this volume. They include problems for the Moscow State University
alumni conference, papers on magnetic analogues of Newton's and
Ivory's theorems, on attraction of dust-like particles, on
singularities in variational calculus, on Poisson structures, and
others. The volume also contains translations of Arnold's comments
to Selected works of H. Weyl and those of A.N. Kolmogorov. 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.
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