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  • Calabi-Yau Varieties: Arithmetic, Geometry and Physics

    Lecture Notes on Concentrated Graduate Courses

    Series series Mathematics and Statistics (R0)
    This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi–Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross–Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical ... Read more

    $134.09 USD

  • Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

    Series Book 67 - Fields Institute Communications
    In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, 2011), ... Read more

    $89.09 USD

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    Series series Springer Nature Proceedings excluding Computer Science
    This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications. It also includes the most recent developments on other areas of mathematics including algebra and geometry.Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical ... Read more

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  • Families of Automorphic Forms and the Trace Formula

    Series series Springer Nature Proceedings excluding Computer Science
    Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory.Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto ... Read more

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  • Exploring the Riemann Zeta Function

    190 years from Riemann's Birth

    Series series Mathematics and Statistics (R0)
    Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.The book focuses on both old ... Read more

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  • Twisted Teichmüller Curves

    Series series Mathematics and Statistics (R0)
    These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmüller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objects are analyzed in detail and their main properties are described. In particular, the volume of twisted Teichmüller curves is calculated and their components are partially ... Read more

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  • Complex Analysis

    by Serge Lang ...
    Series series Computer Science (R0)
    The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to ... Read more

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    **A stunning, globe-spanning journey through the beauty and power of mathematics“Powerful, passionate, and inspiring.” —New York TimesA New York Times Bestseller**What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for ... Read more

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  • One to Nine

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  • Classical Mechanics with Mathematica®

    Series series Mathematics and Statistics (R0)
    This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also ... Read more

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  • L-Functions and Automorphic Forms

    LAF, Heidelberg, February 22-26, 2016

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held at the University of Heidelberg in 2016.The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and ... Read more

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    This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory.The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss ... Read more

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