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Mathematical Notes eBook Series

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  • Blow-up Theory for Elliptic PDEs in Riemannian Geometry

    by Olivier Druet, Emmanuel Hebey, Frédéric Robert ...
    Series Book 45 - Mathematical Notes
    Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrödinger operators on the left hand side and a critical nonlinearity on the right hand side.A significant development in the study of such ... Read more

    PHP4,472.39

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  • A Brief History of Infinity

    The Quest to Think the Unthinkable

    by Brian Clegg ...
    Series series Brief Histories
    'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the GalaxyWe human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating ... Read more

    PHP852.79

  • The Golden Ticket

    P, NP, and the Search for the Impossible

    by Lance Fortnow ...
    The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron ... Read more

    PHP991.69

  • Meta Math!

    The Quest for Omega

    by Gregory Chaitin ...
    Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory.Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of ... Read more

    PHP645.49

  • How Nature Works

    the science of self-organized criticality

    by Per Bak ...
    Series series Mathematics and Statistics (R0)
    and acknowledgments Self-organized criticality is a new way of viewing nature. The basic picture is one where nature is perpetually out of balance, but organized in a poised state-the critical state-where anything can happen within well-defined statistical laws. The aim of the science of self-organized criticality is to yield insight into the fundamental question of why nature is complex, not ... Read more

    PHP3,537.69

  • Introduction to Calculus and Analysis II/1

    by Richard Courant, Fritz John ...
    Series series Mathematics and Statistics (R0)
    From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting ... Read more

    PHP3,537.69

  • Real Analysis via Sequences and Series

    by Charles H.C. Little, Kee L. Teo, Bruce van Brunt ...
    Series series Mathematics and Statistics (R0)
    This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the ... 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

    PHP1,929.39

  • Topology, Calculus and Approximation

    by Vilmos Komornik ...
    Series series Mathematics and Statistics (R0)
    Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán.The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and ... Read more

    PHP2,251.09

  • On the Teaching of Linear Algebra

    Edited by J.-L. Dorier ...
    Series series Education (R0)
    To a large extent, it lies, no doubt, in what is presented in this work under the title of ‘meta lever‘, a method which it is certainly interesting to develop and further refine. There exists in mathematics courses a strange prudery which forbids one to ask questions such as, ‹‹ Why are we doing this? », ‹‹ At what is the objective aimed? », whereas it is usually easy to reply to such questions, ... Read more

    PHP13,445.69

  • New Trends in Applied Harmonic Analysis

    Sparse Representations, Compressed Sensing, and Multifractal Analysis

    Edited by Carlos Cabrelli, Ursula Molter, Akram Aldroubi, Stephane Jaffard ...
    Series series Mathematics and Statistics (R0)
    This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through ... Read more

    PHP8,362.69

  • Understanding Digital Signal Processing

    by Orhan Gazi ...
    Series series Engineering (R0)
    This book explains digital signal processing topics in detail, with a particular focus on ease of understanding. Accordingly, it includes a wealth of examples to aid in comprehension, and stresses simplicity.The book is divided into four chapters, which respectively address the topics sampling of continuous time signals; multirate signal processing; the discrete Fourier transform; and filter ... Read more

    PHP5,146.09