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  • Lectures on Numerical Radius Inequalities

    Series series Mathematics and Statistics (R0)
    This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing.This monograph ... Read more

    $179.39 CAD

  • Birkhoff–James Orthogonality and Geometry of Operator Spaces

    Series series Mathematics and Statistics (R0)
    This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space ... Read more

    $166.49 CAD

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    In this text, the whole structure of analysis is built up from the foundations. The only things assumed at the outset are the rules of logic and the usual properties of the natural numbers, and with these two exceptions all the proofs in the text rest on the axioms and theorems proved earlier. Nevertheless this treatise (including the first volume) is not suitable for students who have not yet ... Read more

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  • A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis

    The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This ... Read more

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  • Introductory Topology: Exercises And Solutions

    The book offers a good introduction to topology through solved exercises. It is mainly intended for undergraduate students. Most exercises are given with detailed solutions. ... Read more

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  • Ridge Functions

    by Allan Pinkus ...
    Series Book 205 - Cambridge Tracts in Mathematics
    Ridge functions are a rich class of simple multivariate functions which have found applications in a variety of areas. These include partial differential equations (where they are sometimes termed 'plane waves'), computerised tomography, projection pursuit in the analysis of large multivariate data sets, the MLP model in neural networks, Waring's problem over linear forms, and approximation theory ... Read more

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  • Theory Of Multiple Zeta Values With Applications In Combinatorics, The

    by Minking Eie ...
    Series Book 7 - Monographs In Number Theory
    This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations ... Read more

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  • Number Theory, Fourier Analysis and Geometric Discrepancy

    Series Book 81 - London Mathematical Society Student Texts
    The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It ... Read more

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  • Stochastic Analysis

    Itô and Malliavin Calculus in Tandem

    Series Book 159 - Cambridge Studies in Advanced Mathematics
    Thanks to the driving forces of the Itô calculus and the Malliavin calculus, stochastic analysis has expanded into numerous fields including partial differential equations, physics, and mathematical finance. This book is a compact, graduate-level text that develops the two calculi in tandem, laying out a balanced toolbox for researchers and students in mathematics and mathematical finance. The ... Read more

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  • Mathematical Analysis: A Concise Introduction

    by Jiongmin Yong ...
    Mathematical analysis serves as a common foundation for many research areas of pure and applied mathematics. It is also an important and powerful tool used in many other fields of science, including physics, chemistry, biology, engineering, finance, and economics. In this book, some basic theories of analysis are presented, including metric spaces and their properties, limit of sequences, ... Read more

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  • An Introduction to Homological Algebra

    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

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