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Clay Lecture Notes eBook Series

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  • Lectures on Geometry

    by Edward Witten, Martin Bridson, Helmut Hofer, Marc Lackenby, Rahul Pandharipande ...
    Series series Clay Lecture Notes
    This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures. Although not explicitly linked, the topics in this inaugural volume have a common flavour and a common appeal to all who are interested in recent ... Read more

    $80.36 CAD

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  • The Higher Arithmetic

    An Introduction to the Theory of Numbers

    by H. Davenport ...
    The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way that does not require the reader to have an in-depth ... Read more

    $62.63 CAD

  • A Course in Combinatorics

    by J. H. van Lint, R. M. Wilson ...
    This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific ... Read more

    $98.63 CAD

  • An Introduction to Homological Algebra

    by Charles A. Weibel ...
    Series Book 38 - Cambridge Studies in Advanced Mathematics
    The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first ... Read more

    $70.55 CAD

  • Enumerative Combinatorics: Volume 1

    by Richard P. Stanley ...
    Series Book 49 - Cambridge Studies in Advanced Mathematics
    Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the ... Read more

    $64.79 CAD

  • Fractals in Probability and Analysis

    by Christopher J. Bishop, Yuval Peres ...
    Series Book 162 - Cambridge Studies in Advanced Mathematics
    This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman ... Read more

    $78.47 CAD

  • Clifford Algebras and Lie Theory

    by Eckhard Meinrenken ...
    Series series Mathematics and Statistics (R0)
    This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group ... Read more

    $162.62 CAD

  • Linear Algebra and Linear Models

    by Ravindra B. Bapat ...
    Series series Mathematics and Statistics (R0)
    Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariate normal distribution and distribution of quadratic forms are included.For this third edition, the ... Read more

    $69.65 CAD

  • Knots And Physics (Fourth Edition)

    by Louis H Kauffman ...
    Series Book 53 - Series On Knots And Everything
    This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot ... Read more

    $66.50 CAD

  • Undergraduate Convexity: Problems And Solutions

    by Mikkel Slot Nielsen, Victor Ulrich Rohde ...
    This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here ... Read more

    $26.99 CAD

  • 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

    $34.82 CAD

  • Hangzhou Lectures on Eigenfunctions of the Laplacian

    by Christopher D. Sogge ...
    Series Book 188 - Annals of Mathematics Studies
    Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on ... Read more

    $233.63 CAD