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Metric spaces
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  • Topics on Continuaby Sergio Macias

    CRC Press 2005; US$ 89.95

    Papers on continuum theory show up fairly frequently in journals. Macias (Instituto de Matematicas, Mexico) gives the requisite background so often missing in descriptions of this aspect of topology, as well as some of his favorite topics, including Jones's set function T, homogeneous continua, and n-fold hyperspaces, offering the first detailed, s more...

  • Dictionary of Distancesby Michel-Marie Deza; Elena Deza

    Elsevier 2006; US$ 195.00

    This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data. The book will provide powerful resource for all researchers using Mathematics as well as for mathematicians themselves. In the time when over-specialization and terminology fences isolate researchers, this Dictionary try to be "centripedal" and "oikoumeni", providing some access and altitude of vision but without taking the route of scientific vulgarisation. This attempted balance is the main philosophy of this Dictionary which defined its structure and style. Key features: - Unicity: it is the first book treating the basic notion of Distance in whole... more...

  • Optimization on Metric and Normed Spacesby Alexander J Zaslavski

    Springer 2010; US$ 124.00

    Optimization on Metric and Normed Spaces is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the... more...

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