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Porter Lectures eBook Series

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  • Szegő's Theorem and Its Descendants

    Spectral Theory for L2 Perturbations of Orthogonal Polynomials

    by Barry Simon ...
    Series series Porter Lectures
    This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic ... Read more

    $128.99 USD

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  • Lectures on Real Analysis

    by Finnur Lárusson ...
    Series Book 21 - Australian Mathematical Society Lecture Series
    This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which ... Read more

    $54.99 USD

  • Computer Algebra in Quantum Field Theory

    Integration, Summation and Special Functions

    Edited by Carsten Schneider, Johannes Blümlein ...
    Series series Computer Science (R0)
    The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from ... Read more

    $89.09 USD

  • Operators, Geometry and Quanta

    Methods of Spectral Geometry in Quantum Field Theory

    by Dmitri Fursaev, Dmitri Vassilevich ...
    Series series Physics and Astronomy (R0)
    This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, ... Read more

    $98.09 USD

  • String Theory: Volume 1, An Introduction to the Bosonic String

    by Joseph Polchinski ...
    Series series Cambridge Monographs on Mathematical Physics
    String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three ... Read more

    $77.89 USD

  • Symmetries, Integrable Systems and Representations

    Edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy ...
    Series series Springer Nature Proceedings excluding Computer Science
    This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011.Included are research articles based on the talks presented at the workshops, latest results ... Read more

    $143.09 USD

  • Quantum Isometry Groups

    by Debashish Goswami, Jyotishman Bhowmick ...
    Series series Infosys Science Foundation Series in Mathematical Sciences
    This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the “quantum isometry group”, highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. The ... Read more

    $98.99 USD

  • Principal Bundles

    The Classical Case

    by Stephen Bruce Sontz ...
    Series series Mathematics and Statistics (R0)
    This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles. While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both ... Read more

    $80.99 USD

  • Foundations of Ergodic Theory

    by Marcelo Viana, Krerley Oliveira ...
    Series Book 151 - Cambridge Studies in Advanced Mathematics
    Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book ... Read more

    $125.49 USD

  • Table of Integrals, Series, and Products

    Edited by Daniel Zwillinger, Alan Jeffrey ...
    The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, ... Read more

    $92.69 USD

  • An Historical Account of Two Notable Corruptions of Scripture: Full and Fine Text of 1754 Edition (Illustrated and Bundled with Life of Isaac Newton)

    by Isaac Newton ...
    The book has an active table of contents for readers to access each chapter of the following titles:AN HISTORICAL ACCOUNT OF TWO NOTABLE CORRUPTIONS OF SCRIPTURE – ISAAC NEWTONLIFE OF SIR ISAAC NEWTON - N. W. CHITTENDENAlthough the key contribution of Newton to the modern science and engineering was the books OPTICS and THE MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY, his interests are many ... Read more

    $1.49 USD

  • Multiple Dirichlet Series, L-functions and Automorphic Forms

    Edited by Solomon Friedberg, Dorian Goldfeld, Daniel Bump ...
    Series series Mathematics and Statistics (R0)
    Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical ... Read more

    $89.99 USD