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  • Convex Functions

    Constructions, Characterizations and Counterexamples

    Collections Livre 109 - Encyclopedia of Mathematics and its Applications
    Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique ... En savoir plus

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  • Computational and Analytical Mathematics

    In Honor of Jonathan Borwein's 60th Birthday

    Collections 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 ... En savoir plus

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  • Computation, Cryptography, and Network Security

    Collections series Mathematics and Statistics (R0)
    Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions ... En savoir plus

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  • A Gentle Introduction to Optimization

    Optimization is an essential technique for solving problems in areas as diverse as accounting, computer science and engineering. Assuming only basic linear algebra and with a clear focus on the fundamental concepts, this textbook is the perfect starting point for first- and second-year undergraduate students from a wide range of backgrounds and with varying levels of ability. Modern, real-world ... En savoir plus

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  • Optimization and Optimal Control

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    During the last four decades there has been a remarkable development in optimization and optimal control. Due to its wide variety of applications, many scientists and researchers have paid attention to fields of optimization and optimal control. A huge number of new theoretical, algorithmic, and computational results have been observed in the last few years. This book gives the latest advances, ... En savoir plus

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  • Maths and the Great Beyond

    The Exponents equations covered in this manual include obvious solutions to adding Exponents with a power and a base. The possible solutions to adding and subtracting numbers raised to a power are solved in the form of real numbers for a straightforward answer with the minimum amount of calculation. Agatha cleverly includes narrative to introduce the theme of Exponents, the results from an ... En savoir plus

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  • Pseudodifferential Equations Over Non-Archimedean Spaces

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    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 ... En savoir plus

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    This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which ... En savoir plus

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  • Optimization in Science and Engineering

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    Optimization in Science and Engineering is dedicated in honor of the 60th birthday of Distinguished Professor Panos M. Pardalos. Pardalos’s past and ongoing work has made a significant impact on several theoretical and applied areas in modern optimization. As tribute to the diversity of Dr. Pardalos’s work in Optimization, this book comprises a collection of contributions from experts in various ... En savoir plus

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  • Numerical Optimization with Computational Errors

    Collections series Mathematics and Statistics (R0)
    This book studies the approximate solutions of optimization problems in the presence of computational errors. A number of results are presented on the convergence behavior of algorithms in a Hilbert space; these algorithms are examined taking into account computational errors. The author illustrates that algorithms generate a good approximate solution, if computational errors are bounded from ... En savoir plus

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    This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.Recently, the trend has been towards geometrization of the mathematical description of physical ... En savoir plus

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