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  • 1
    Keywords: DDC 519.6 ; LC QA402.5 ; Mathematical optimization ; Nonlinear programming
    Pages: Online-Ressource (xv, 598 pages)
    ISBN: 9781435687080
    Language: English
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  • 2
    Keywords: DDC 629.8 ; LC QA402.3 ; Calculus of variations ; Control theory ; Linear control systems ; Mathematical optimization
    Pages: Online-Ressource (xii, 320 pages)
    Edition: 1st ed
    ISBN: 9780444516329
    Language: English
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  • 3
    Keywords: DDC 515/.75 ; LC QA431 ; Functional equations
    Pages: Online-Ressource (xiii, 391 pages)
    Edition: 1st ed
    ISBN: 9780444517883
    Language: English
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  • 4
    Keywords: DDC 514.32 ; LC QA611 ; Metric spaces ; Topological spaces ; Topology
    Pages: Online-Ressource (xiii, 415 pages)
    Edition: 1st ed
    ISBN: 9780444517937
    Language: English
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  • 5
    Unknown
    Amsterdam ; Boston : Elsevier
    Keywords: DDC 519.5/35 ; LC QA278 ; Approximation theory - Research ; Interpolation - Research ; Multivariate analysis - Research
    Pages: Online-Ressource (ix, 346 pages)
    Edition: 1st ed
    ISBN: 9780444518446
    Language: English
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  • 6
    Unknown
    Amsterdam ; Boston : Elsevier
    Keywords: DDC 515/.2433 ; LC QA403.3 ; Numerical analysis ; Wavelets (Mathematics)
    Description / Table of Contents: Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are:〈P〉 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions.〈P〉 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory.〈P〉 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies
    Pages: Online-Ressource (xviii, 336 pages)
    Edition: 1st ed
    ISBN: 9780444511249
    Language: English
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  • 7
    Keywords: DDC 512.7 ; LC QA241 ; Ciphers ; Number theory
    Pages: Online-Ressource (xvii, 474 pages)
    Edition: Rev. ed
    ISBN: 9780444516312
    Language: English
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  • 8
    Keywords: DDC 620/.001/51 ; LC TA330 ; Approximation theory ; Engineering mathematics
    Pages: Online-Ressource (ix, 248 pages)
    Edition: 1st ed
    ISBN: 9780444518606
    Language: English
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  • 9
    Unknown
    Amsterdam ; Boston : Elsevier
    Keywords: DDC 510.9 ; LC QA21 ; Mathematics - History
    Description / Table of Contents: This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. First book of its kind Covers the period 1640-1940 of massive development in mathematics Describes many of the main writings of mathematics Articles written by specialists in their field
    Pages: Online-Ressource (xvii, 1022 pages)
    Edition: 1st ed
    ISBN: 9780444508713
    Language: English
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  • 10
    Unknown
    Amsterdam ; Boston : Elsevier
    Keywords: DDC 160/.9 ; LC BC15 ; Logic - History
    Description / Table of Contents: Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to Godel, The Emergence of Classical Logic, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central. In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world. Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value. Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscience, linguistics, forensics, philosophy and the history of philosophy, and the history of ideas. Contents: Preface (D.M. Gabbay, J. Woods). List of Contributors. Logic before Aristotle: Development or Birth? (J. Moravcsik). Aristotle's Early Logic (J. Woods, A. Irvine). Aristotle's Underlying Logic (G. Boger). Aristotle's Modal Syllogisms (F. Johnson). Indian Logic (J. Ganeri). The Megarians and the Stoics (R. R. O'Toole, R. E. Jennings). Arabic Logic (T. Street). The Translation of Arabic Works on Logic into Latin in the Middle Ages and Renaissance (C. Burnett). Index.
    Pages: Online-Ressource (ix, 618 pages)
    Edition: 1st ed
    ISBN: 9780444504661
    Language: English
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