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  • Global Surgery Formula for the Casson-Walker Invariant. (AM-140)by Christine Lescop

    Princeton University Press 2014; US$ 65.00

    This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S 3 . In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S 3 is described, and it is proven that F consistently defines an invariant, lamda (... more...

  • The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44)by John W. Morgan

    Princeton University Press 2014; US$ 55.00

    The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful... more...

  • Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142)by Curtis T. McMullen

    Princeton University Press 2014; US$ 75.00

    Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. Both subjects are studied via geometric limits... more...

  • Surveys on Surgery Theoryby Sylvain Cappell; Andrew Ranicki; Jonathan Rosenberg

    Princeton University Press 2014; US$ 99.95

    Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery... more...

  • Chaotic Transitions in Deterministic and Stochastic Dynamical Systemsby Emil Simiu

    Princeton University Press 2014; US$ 46.95

    The classical Melnikov method provides information on the behavior of deterministic planar systems that may exhibit transitions, i.e. escapes from and captures into preferred regions of phase space. This book develops a unified treatment of deterministic and stochastic systems that extends the applicability of the Melnikov method to physically realizable... more...

  • The Real Fatou Conjecture. (AM-144)by Jacek Graczyk; Grzegorz Swiatek

    Princeton University Press 2014; US$ 57.50

    In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of... more...

  • Surveys on Surgery Theoryby Sylvain Cappell; Andrew Ranicki; Jonathan Rosenberg

    Princeton University Press 2014; US$ 99.95

    Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied... more...

  • Fractal Dimensionsby Eric Hammel

    IPS Books 2014; US$ 4.99

    The concept behind fractal geometry is extremely difficult to explain . . . but easy to see and enjoy. Eric Hammel, a professional author of military history books, is unable to explain fractals in a way that will be clear to anyone else, but most mathematicians can’t explain fractals in language most people can understand. The simplest explanation... more...

  • Principles of Algebraic Geometryby Phillip Griffiths; Joseph Harris

    Wiley 2014; US$ 164.00

    A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques... more...

  • Introduction to Topology and Geometryby Saul Stahl; Catherine Stenson

    Wiley 2014; US$ 125.00

    An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised... more...