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  • 2000-2004  (295)
  • 1955-1959  (5)
  • Mathematics  (300)
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  • 1
    UID:
    b3kat_BV039830212
    Format: 1 Online-Ressource (1 online resource)
    Edition: 1st ed
    ISBN: 9780444516114 , 0444516115
    Series Statement: Handbook of the history of logic v. 3
    Note: With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. , The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. , Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegel make clear. , Of the two, Hegel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century , Preface (D.M. Gabbay, J. Woods) -- List of Contributors -- Leibniz's Logic (W. Lenzen) -- Kant: From General to Transcendental Logic (M. Tiles) -- Hegel's Logic (J.W. Burbidge) -- Bolzano as Logician (P. Rusnock, R. George) -- Husserl's Logic (R. Tieszen) -- Algebraical Logic 1685-1900 (T. Hailperin) -- The Algebra of Logic (V.S. Valencia) -- The Mathematical Turn in Logic (I. Grattan-Guinness) -- Schrder's Logic (V. Peckhaus) -- Peirce's Logic (R. Hilpinen) -- Frege's Logic (P. Sullivan) -- Index , Includes bibliographical references and index
    Language: English
    Subjects: Mathematics , Philosophy
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    Keywords: Mathematische Logik ; Mathematik ; Geschichte ; Logik ; Geschichte
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  • 2
    Online Resource
    Online Resource
    Amsterdam : Elsevier
    UID:
    b3kat_BV039830186
    Format: 1 Online-Ressource (1 online resource)
    Edition: 1st ed
    ISBN: 9780444504661 , 0444504664
    Series Statement: Handbook of the history of logic v. 1
    Note: 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 Gdel, 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 , Includes bibliographical references and index
    Language: English
    Subjects: Mathematics , Philosophy
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    Keywords: Logik ; Geschichte
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  • 3
    UID:
    almafu_BV013469680
    Format: XIII, 517 S. : 24 cm.
    Edition: Reprint of the 1998 ed. [second edition, revised third printing]
    ISBN: 3-540-41160-7 , 978-3-540-41160-4
    Series Statement: Classics in mathematics
    Content: This work aims to be of interest to those who have to work with differential equations and acts either as a reference or as a book to learn from. The authors have made the treatment self-contained.
    Note: Ursprüngl. als: Grundlehren der mathematischen Wissenschaften, Vol. 224. - Literaturverz. S. 491 - 506
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-642-61798-0
    Language: English
    Subjects: Mathematics
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    Keywords: Elliptische Differentialgleichung ; Ordnung 2 ; Funktionalraum ; Partielle Differentialgleichung ; Lehrbuch
    URL: Cover
    Author information: Gilbarg, David 1918-2001
    Author information: Trudinger, Neil S. 1942-
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  • 4
    UID:
    almahu_BV017491753
    Format: XI, 235 S. : , graph. Darst.
    ISBN: 3-540-40650-6
    Series Statement: Universitext
    Content: "This book offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties. Throughout the book the language of stochastic processes is used for describing the dynamics of an insurance portfolio in claim size space and time. In addition to the standard actuarial notions, the reader learns about the basic models of modern non-life insurance mathematics: the Poisson, compound Poisson and renewal processes in collective risk theory and heterogeneity and Buhlmann models in experience rating. The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy. Special emphasis is given to the phenomena which are caused by large claims in these models." "What makes this book special are more than 100 figures and tables illustrating and visualizing the theory. Every section ends with extensive exercises. They are an integral part of this course since they support the access to the theory." "The book can serve either as a text for an undergraduate/graduate course on non-life insurance mathematics or applied stochastic processes. Its content is in agreement with the European Group Consultatif standards. An extensive bibliography, annotated by various comments sections with references to more advanced relevant literature, make the book broadly and easily accessible."--BOOK JACKET.
    Language: German
    Subjects: Economics , Mathematics
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    Keywords: Versicherungsmathematik ; Versicherungsmathematik ; Stochastisches Modell
    Author information: Mikosch, Thomas, 1955-
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  • 5
    UID:
    almafu_BV014180375
    Format: XVI, 310 S. : , Illustrationen.
    ISBN: 3-540-42666-3
    Series Statement: Universitext
    Content: The authors provide a fast introduction to probabilistic and statistical concepts necessary to understand the basic ideas and methods of stochastic differential equations. The book is based on measure theory which is introduced as smoothly as possible. It is intended for advanced undergraduate students or graduates, not necessarily in mathematics, providing an overview and intuitive background for more advanced studies as well as some practical skills in the use of MAPLE in the context of probability and its applications. Although this book contains definitions and theorems, it differs from conventional mathematics books in its use of MAPLE worksheets instead of formal proofs to enable the reader to gain an intuitive understanding of the ideas under consideration. As prerequisites the authors assume a familiarity with basic calculus and linear algebra, as well as with elementary ordinary differential equations and, in the final chapter, simple numerical methods for such ODEs. Although statistics is not systematically treated, they introduce statistical concepts such as sampling, estimators, hypothesis testing, confidence intervals, significance levels and p-values and use them in a large number of examples, problems and simulations.
    Language: English
    Subjects: Computer Science , Mathematics
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    Keywords: Wahrscheinlichkeitsrechnung ; Maple ; Stochastische Differentialgleichung ; Maple
    Author information: Kloeden, Peter E. 1949-
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  • 6
    Book
    Book
    Berlin [u.a.] :Springer,
    UID:
    almafu_BV014361823
    Format: XIV, 224 S.
    ISBN: 3-540-43609-X
    Series Statement: Universitext
    Content: "This book provides a practical introduction to Computational Finance, formulating methods and algorithms that can be implemented and used. The first part presents basic features of options and mathematical models and the foundations of simulation methods such as Monte Carlo methods. The main topic of the book is the valuation of options based on the partial differential equations and inequalities of Black and Scholes. Basic approaches of finite-difference and finite-element methods are explained. The book is written in a vivid concise style, with a minimum of formalism and focussing on readability. Numerous figures and many examples illustrate the concepts. An extensive appendix provides additional material for readers with little background in finance, stochastics, or computational methods."--BOOK JACKET.
    Note: Includes bibliographical references (p. [211]-217) and index
    Language: English
    Subjects: Economics , Mathematics
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    Keywords: Wertpapieranalyse ; Stochastisches Modell ; Finanzmathematik ; Derivat ; Optionspreistheorie ; Black-Scholes-Modell
    Author information: Seydel, Rüdiger 1947-
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  • 7
    UID:
    almafu_BV012759855
    Format: XII, 290 S. : , graph. Darst.
    ISBN: 3-540-76125-X
    Series Statement: Springer undergraduate mathematics series
    Content: "The book presents a clear introduction of the methods and underlying theory used in the numerical solution of partial differential equations. Throughout, the emphasis is on the practical solution rather than the theoretical background, without sacrificing rigour. After revising the mathematical preliminaries, the book covers the finite difference method of parabolic or heat equations, hyperbolic or wave equations and elliptic or Laplace equations." "Numerical Methods for Partial Differential Equations provides a complete introduction to the subject, suitable for second or third year undergraduates or for non-specialist graduate courses. Many illustrative exercises are provided, most with full solutions or advice on creating appropriate computer algorithms."--BOOK JACKET.
    Language: German
    Subjects: Mathematics
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    Keywords: Partielle Differentialgleichung ; Numerisches Verfahren
    Author information: Evans, Gwynne 1944-
    Author information: Yardley, Peter 1948-
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  • 8
    UID:
    almafu_BV019333836
    Format: XIV, 354 S. : , graph. Darst.
    ISBN: 0-387-21364-3 , 0-387-21375-9
    Series Statement: Undergraduate texts in mathematics
    Content: "This book is specifically written for upper-division undergraduate or beginning graduate students in mathematics, finance, or economics. With the exception of an optional chapter on the Capital Asset Pricing Model, the book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formula as a limiting case of the Cox-Ross-Rubinstein discrete model. The final chapter is devoted to American options."--BOOK JACKET.
    Language: English
    Subjects: Economics , Mathematics
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    Keywords: Finanzmathematik ; Capital-Asset-Pricing-Modell ; Optionspreistheorie ; Lehrbuch ; Lehrbuch ; Lehrbuch
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  • 9
    Book
    Book
    Berlin [u.a.] :Springer,
    UID:
    almafu_BV014187831
    Format: XI, 243 S. : , graph. Darst. , CD-ROM (12 cm)
    ISBN: 3-540-42657-4
    Series Statement: Springer finance : Lecture notes
    Note: Systemvoraussetzung für CD-ROM: Windows 98 or higher, 128 MB RAM minimum, Java , Teilw. zugl.: New York, Univ., Diss., 1999 u.d.T.: Buff, Robert: Algorithms for nonlinear models in computational finance and their object oriented implementation
    Language: English
    Subjects: Economics , Mathematics
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    Keywords: Kreditmarkt ; Volatilität ; Risikoanalyse ; Mathematisches Modell ; Derivat ; Optionspreis ; Volatilität ; Black-Scholes-Modell ; C++ ; Hochschulschrift ; Hochschulschrift ; Hochschulschrift
    Author information: Buff, Robert 1969-
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  • 10
    Online Resource
    Online Resource
    Cambridge :Cambridge University Press,
    UID:
    almahu_9948233532302882
    Format: 1 online resource (xvii, 357 pages) : , digital, PDF file(s).
    ISBN: 9780511608742 (ebook)
    Series Statement: Cambridge studies in advanced mathematics ; 95
    Content: The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
    Additional Edition: Print version: ISBN 9780521843973
    Language: English
    Subjects: Mathematics
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    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (URL des Erstveröffentlichers)
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