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  • Tensor Norms and Operator Ideals

    Series Book 176 - North-Holland Mathematics Studies
    The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as ... Read more

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    Evernote Guide For Beginners for Organizing Your Life

    In this day and age, everyone has a seemingly endless number of website passwords to remember, but Evernote is a great tool to help you keep everything in an accessible place, no matter what computer you are using. Many people keep these organized on a flash drive, but what if forget it and aren't at home? With Evernote, no matter what computer you are using, you can have access to all of your ... Read more

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  • Problems And Proofs In Real Analysis: Theory Of Measure And Integration

    by James J Yeh ...
    This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text.This volume will be especially ... Read more

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  • Analytic Number Theory For Undergraduates

    Series Book 3 - Monographs In Number Theory
    This book is written for undergraduates who wish to learn some basic results in analytic number theory. It covers topics such as Bertrand's Postulate, the Prime Number Theorem and Dirichlet's Theorem of primes in arithmetic progression.The materials in this book are based on A Hildebrand's 1991 lectures delivered at the University of Illinois at Urbana-Champaign and the author's course conducted ... Read more

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  • A Comprehensive Treatment of q-Calculus

    by Thomas Ernst ...
    Series series Mathematics and Statistics (R0)
    To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. ... Read more

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  • Pseudodifferential Equations Over Non-Archimedean Spaces

    Series series Mathematics and Statistics (R0)
    Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular ... Read more

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  • Computational and Analytical Mathematics

    In Honor of Jonathan Borwein's 60th Birthday

    Series series Springer Nature Proceedings excluding Computer Science
    The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational ... Read more

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  • Hidden Harmony—Geometric Fantasies

    The Rise of Complex Function Theory

    Series series Mathematics and Statistics (R0)
    This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject – Cauchy, Riemann, and ... Read more

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  • Multiple Dirichlet Series, L-functions and Automorphic Forms

    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

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  • Ramanujan's Lost Notebook

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    Series Book 4 - Mathematics and Statistics (R0)
    In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical ... Read more

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  • Nonstandard Analysis for the Working Mathematician

    Series series Mathematics and Statistics (R0)
    Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique.This book illuminates the subject ... Read more

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  • Beyond First Order Model Theory, Volume I

    Edited by Jose Iovino ...
    Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers. ... Read more

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