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  • Around the Unit Circle

    Mahler Measure, Integer Matrices and Roots of Unity

    Series series Mathematics and Statistics (R0)
    Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very ... Read more

    $62.99 USD

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  • Limits, Limits Everywhere

    The Tools of Mathematical Analysis

    A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series. Almost all textbooks on introductory analysis ... Read more

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  • Real Analysis

    A Historical Approach

    by Saul Stahl ...
    A provocative look at the tools and history of real analysisThis new edition of Real Analysis: A Historical Approach continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily make the transition from concrete to abstract ideas.The book begins with an exciting sampling of classic and famous ... Read more

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  • Analytic Number Theory: An Introductory Course

    Series Book 1 - Monographs In Number Theory
    This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract ... Read more

    $20.89 USD

  • Complex Analysis

    With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose ... Read more

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  • Real Analysis

    Modern Techniques and Their Applications

    Series series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
    An in-depth look at real analysis and its applications-now expanded and revised.This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of ... Read more

    $106.00 USD

  • Stochastic Analysis and Diffusion Processes

    Series Book 24 - Oxford Graduate Texts in Mathematics
    Stochastic Analysis and Diffusion Processes presents a simple, mathematical introduction to Stochastic Calculus and its applications. The book builds the basic theory and offers a careful account of important research directions in Stochastic Analysis. The breadth and power of Stochastic Analysis, and probabilistic behavior of diffusion processes are told without compromising on the mathematical ... Read more

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  • The Banach–Tarski Paradox

    Series Book 163 - Encyclopedia of Mathematics and its Applications
    The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book ... Read more

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  • Additive Combinatorics

    Series Book 105 - Cambridge Studies in Advanced Mathematics
    Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring ... Read more

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  • A User's Guide to Measure Theoretic Probability

    by David Pollard ...
    Series Book 8 - Cambridge Series in Statistical and Probabilistic Mathematics
    Rigorous probabilistic arguments, built on the foundation of measure theory introduced eighty years ago by Kolmogorov, have invaded many fields. Students of statistics, biostatistics, econometrics, finance, and other changing disciplines now find themselves needing to absorb theory beyond what they might have learned in the typical undergraduate, calculus-based probability course. This 2002 book ... Read more

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  • Continued Fractions and Orthogonal Functions

    Theory and Applications

    Edited by S. Clement Cooper, W.J. Thron ...
    Series series Lecture Notes in Pure and Applied Mathematics
    This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences ... Read more

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  • Fourier Analysis: Volume 1, Theory

    Series Book 85 - London Mathematical Society Student Texts
    Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of ... Read more

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