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  • Twisted Morse Complexes

    Morse Homology and Cohomology with Local Coefficients

    Series series Mathematics and Statistics (R0)
    This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a complete proof of the Twisted Morse Homology Theorem, which says that on a closed finite-dimensional smooth manifold the homology of the Morse–Smale–Witten chain complex with coefficients in a bundle of abelian groups G is isomorphic to the singular homology ... Read more

    $83.99 CAD

  • Brief Introduction To Symplectic And Contact Manifolds, A

    Series Book 15 - Nankai Tracts In Mathematics
    The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the ... Read more

    $67.99 CAD

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  • Modern Differential Geometry of Curves and Surfaces with Mathematica

    Series series Textbooks in Mathematics
    Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring ... Read more

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  • Wavelets

    A Concise Guide

    Introduced nearly three decades ago as a variable resolution alternative to the Fourier transform, a wavelet is a short oscillatory waveform for analysis of transients. The discrete wavelet transform has remarkable multi-resolution and energy-compaction properties. Amir-Homayoon Najmi’s introduction to wavelet theory explains this mathematical concept clearly and succinctly.Wavelets are used in ... Read more

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  • Difference Equations by Differential Equation Methods

    Series Book 27 - Cambridge Monographs on Applied and Computational Mathematics
    Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an ... Read more

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  • A Primer on Mapping Class Groups

    Series Book 49 - Princeton Mathematical Series
    The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate ... 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

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  • Multirate and Wavelet Signal Processing

    Series Book 8 - Wavelet Analysis and Its Applications
    This innovative and in-depth book integrates the well-developed theory and practical applications of one dimensional and multidimensional multirate signal processing. Using a rigorous mathematical framework, it carefully examines the fundamentals of this rapidly growing field. Areas covered include: basic building blocks of multirate signal processing; fundamentals of multidimensional multirate ... Read more

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  • An Atlas of Functions

    with Equator, the Atlas Function Calculator

    Series series Mathematics and Statistics (R0)
    Keith B. Oldham is a professor of Chemistry at Trent University in Ontario, Canada. He has co-authored several books, contributed to numerous others, and has published over 200 articles. He co-authored, with Jerome Spanier, the first edition of An Atlas of Functions.Jan C. Myland is a Research Associate in Electrochemistry at Trent University.Jerome Spanier is a prominent mathematics professor ... Read more

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  • Aperiodic Order: Volume 1, A Mathematical Invitation

    Series Book 149 - Encyclopedia of Mathematics and its Applications
    Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to ... Read more

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  • Knots And Physics (Fourth Edition)

    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

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  • Beginning Partial Differential Equations

    Series series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
    A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fieldsFeaturing a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition ... Read more

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