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Geometry

  • How to Solve Itby G. Polya; John H. Conway

    Princeton University Press 2014; US$ 19.95

    A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be ?reasoned? out?from building a bridge to winning... more...

  • Differential Forms and the Geometry of General Relativityby Tevian Dray

    Taylor and Francis 2014; US$ 49.95

    Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity. The book contains two intertwined but distinct halves. ... 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...

  • Euler Systems. (AM-147)by Karl Rubin

    Princeton University Press 2014; US$ 72.50

    One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations,... more...

  • Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47)by William G. Faris

    Princeton University Press 2014; US$ 67.50

    Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory... 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...

  • Triangulated Categories. (AM-148)by Amnon Neeman

    Princeton University Press 2014; US$ 97.50

    The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among... more...

  • Cox Ringsby Ivan Arzhantsev; Ulrich Derenthal; Jürgen Hausen; Antonio Laface

    Cambridge University Press 2014; US$ 64.00

    This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry. more...

  • Trends in Contemporary Mathematicsby Vincenzo Ancona; Elisabetta Strickland

    Springer 2014; US$ 139.00

    The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations... 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...