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  • Fractional and Multivariable Calculus

    Model Building and Optimization Problems

    Series series Mathematics and Statistics (R0)
    This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate ... Leer más

    $71.99 USD

  • Erdélyi–Kober Fractional Calculus

    From a Statistical Perspective, Inspired by Solar Neutrino Physics

    Series series Mathematics and Statistics (R0)
    This book focuses on Erdélyi–Kober fractional calculus from a statistical perspective inspired by solar neutrino physics. Results of diffusion entropy analysis and standard deviation analysis of data from the Super-Kamiokande solar neutrino experiment lead to the development of anomalous diffusion and reaction in terms of fractional calculus. The new statistical perspective of Erdélyi–Kober ... Leer más

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  • The Golden Ticket

    P, NP, and the Search for the Impossible

    de Lance Fortnow ...
    The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron ... Leer más

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  • Ergodic Optimization in the Expanding Case

    Concepts, Tools and Applications

    Series series Mathematics and Statistics (R0)
    This book focuses on the interpretation of ergodic optimal problems as questions of variational dynamics, employing a comparable approach to that of the Aubry-Mather theory for Lagrangian systems. Ergodic optimization is primarily concerned with the study of optimizing probability measures. This work presents and discusses the fundamental concepts of the theory, including the use and relevance of ... Leer más

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  • Topics in Fixed Point Theory

    Series series Mathematics and Statistics (R0)
    The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as ... Leer más

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  • Calculus Without Derivatives

    Series series Mathematics and Statistics (R0)
    Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general ... Leer más

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  • Nonlinear Analysis

    Approximation Theory, Optimization and Applications

    Edición de Qamrul Hasan Ansari ...
    Series series Mathematics and Statistics (R0)
    Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis ... Leer más

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  • New Prospects in Direct, Inverse and Control Problems for Evolution Equations

    Series series Mathematics and Statistics (R0)
    This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have ... Leer más

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  • Variational Analysis of Regular Mappings

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    Series series Mathematics and Statistics (R0)
    This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory.The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear ... Leer más

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  • Ergodic Theory, Open Dynamics, and Coherent Structures

    Series series Springer Nature Proceedings excluding Computer Science
    This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts in ergodic theory, numerical dynamical systems, molecular dynamics and ocean/atmosphere dynamics, nonequilibrium statistical mechanics. The ... Leer más

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  • Industrial Mathematics and Complex Systems

    Emerging Mathematical Models, Methods and Algorithms

    Series series Mathematics and Statistics (R0)
    The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical concepts to areas like national security, homeland security and law enforcement, enterprise and e-government services, personal information and business transactions, and brain-like computers are also ... Leer más

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  • Optimization in Science and Engineering

    In Honor of the 60th Birthday of Panos M. Pardalos

    Series series Mathematics and Statistics (R0)
    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 ... Leer más

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