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  • Number Theory, Analysis and Geometry

    In Memory of Serge Lang

    Series series Mathematics and Statistics (R0)
    Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, ... Read more

    $152.09 USD

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  • Methods of Solving Nonstandard Problems

    Series series Mathematics and Statistics (R0)
    This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the ... Read more

    $44.99 USD

  • Putnam and Beyond

    Series series Mathematics and Statistics (R0)
    This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument ... Read more

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  • A Tale of Two Fractals

    by A.A. Kirillov ...
    Series series Mathematics and Statistics (R0)
    Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. ... Read more

    $31.49 USD

  • Proof Patterns

    by Mark Joshi ...
    Series series Mathematics and Statistics (R0)
    This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as algebra, analysis, topology and number theory are explored. Specific topics examined include game ... Read more

    $53.99 USD

  • 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

    $260.99 USD

  • Information Geometry and Population Genetics

    The Mathematical Structure of the Wright-Fisher Model

    Series series Mathematics and Statistics (R0)
    The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through ... Read more

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  • Mathematics in the 21st Century

    6th World Conference, Lahore, March 2013

    Series series Springer Nature Proceedings excluding Computer Science
    Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics ... Read more

    $89.09 USD

  • Partial Differential Equations in Physics

    Series Book 1 - Pure and Applied Mathematics
    The topic with which I regularly conclude my six-term series of lectures in Munich is the partial differential equations of physics. We do not really deal with mathematical physics, but with physical mathematics; not with the mathematical formulation of physical facts, but with the physical motivation of mathematical methods. The oftmentioned "prestabilized harmony between what is mathematically ... Read more

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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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  • Ramanujan Summation of Divergent Series

    Series series Mathematics and Statistics (R0)
    The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several ... Read more

    $53.99 USD