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Topics in Singularity Theory: V.I Arnold's 60th Anniversary collection - American Mathematical Society Translations Series: Series 2, Vol.180(1997) 요약정보 및 구매

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지은이 A. Khovanskii.
발행년도 1997-08-01
판수 1판
페이지 255
ISBN 9780821808078
도서상태 구매가능
판매가격 130,200원
포인트 0점
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  • Topics in Singularity Theory: V.I Arnold's 60th Anniversary collection - American Mathematical Society Translations Series: Series 2, Vol.180(1997)
    +0원
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  • Leading mathematician and expert teacher, V. I. Arnold turned 60 in June of 1997. This volume contains a selection of original papers prepared for the occasion of this 60th anniversary by former students and other participants in Arnold's Moscow seminar. A weekly event since the mid-1960s, this seminar and its participants have been inspired by Arnold's creative ideas and universal approach to mathematics. The papers in this volume reflect Arnold's wide range of interests and his scientific contributions, including singularity theory, symplectic and contact geometry, mathematical physics, and dynamical systems. The spirit of this work is consistent with Arnold's view of mathematics, connecting different areas of mathematics and theoretical physics. The book is rich in applications and geometrical in nature.

  • J. W. Bruce and V. M. Zakalyukin -- On the geometry of caustics 
    Yu. V. Chekanov -- Lagrangian embeddings and Lagrangian cobordism 
    S. Chmutov and V. Goryunov -- Polynomial invariants of Legendrian links and plane fronts 
    G. Felder, V. Tarasov, and A. Varchenko -- Solutions of the elliptic qKZB equations and Bethe ansatz I 
    A. Fialowski and D. Fuchs -- Singular deformations of Lie algebras. Example: Deformations of the Lie algebra $L_1$ 
    S. Finashin and E. Shustin -- On imaginary plane curves and spin quotients of complex surfaces by complex conjugation 
    A. Givental -- Stationary phase integrals, quantum toda lattices, flag manifolds and the mirror conjecture 
    S. M. Gusein-Zade -- On a problem of B. Teissier 
    Yu. Ilyashenko -- Embedding theorems for local maps, slow-fast systems and bifurcation from Morse-Smale to Smale-Williams 
    M. Kazaryan -- Topological invariants of fiber singularities 
    B. A. Khesin -- Informal complexification and Poisson structures on moduli spaces 
    A. Khovanskii -- Consistent partitions of polytopes and polynomial measures 
    S. K. Lando -- On primitive elements in the bialgebra of chord diagrams 
    S. M. Natanzon -- Spaces of meromorphic functions on Riemann surfaces 
    L. Polterovich -- Hamiltonian loops and Arnold's principle 
    I. Scherbak -- Singularities in the presence of symmetries 
    V. D. Sedykh -- Discrete versions of the four-vertex theorem 
    M. B. Sevryuk -- Excitation of elliptic normal modes of invariant tori in Hamiltonian systems 
    B. Shapiro, M. Shapiro, and A. Vainshtein -- Ramified coverings of $S^2$ with one degenerate branching point and enumeration of edge-ordered graphs 
    S. Tabachnikov -- On zeros of the Schwarzian derivative 
    V. A. Vassiliev -- Stratified Picard-Lefschetz theory with twisted coefficients

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선택된 옵션

  • Topics in Singularity Theory: V.I Arnold's 60th Anniversary collection - American Mathematical Society Translations Series: Series 2, Vol.180(1997)
    +0원