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  • Quasiconformal Surgery in Holomorphic Dynamics

    Series Book 141 - Cambridge Studies in Advanced Mathematics
    Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of ... Read more

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    by T. W. Körner ...
    From the author of The Pleasures of Counting and Naïve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16- to 18-year-old, about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor ... Read more

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  • A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis

    The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This ... Read more

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  • A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable

    The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume 1 ... Read more

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  • A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration

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  • Fourier Analysis and Hausdorff Dimension

    Series Book 150 - Cambridge Studies in Advanced Mathematics
    During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric problems involving Hausdorff dimension, such as Marstrand type projection ... Read more

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  • Handbook of Global Analysis

    This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global ... Read more

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  • Classical and Multilinear Harmonic Analysis: Volume 2

    Series Book 138 - Cambridge Studies in Advanced Mathematics
    This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert ... Read more

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  • Handbook of Complex Analysis

    Edited by Reiner Kuhnau ...
    Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings ... Read more

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  • Power Geometry in Algebraic and Differential Equations

    Edited by A.D. Bruno ...
    Series Book 57 - North-Holland Mathematical Library
    The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.The algorithms form a new calculus which allows to make local and asymptotical analysis of ... Read more

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  • Understanding Topology

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    by Shaun V. Ault ...
    A fresh approach to topology makes this complex topic easier for students to master.Topology—the branch of mathematics that studies the properties of spaces that remain unaffected by stretching and other distortions—can present significant challenges for undergraduate students of mathematics and the sciences. Understanding Topology aims to change that.The perfect introductory topology textbook, ... Read more

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  • Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra

    Series Book 194 - Annals of Mathematics Studies
    This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface.Isroil Ikromov and Detlef Müller begin with ... Read more

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