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Author: Georg Zimmermann Publisher: Springer ISBN: 3658177195 Category : Mathematics Languages : en Pages : 106
Book Description
Georg Zimmermann provides a mathematically rigorous treatment of basic survival analytic methods. His emphasis is also placed on various questions and problems, especially with regard to life expectancy calculations arising from a particular real-life dataset on patients with epilepsy. The author shows both the step-by-step analyses of that dataset and the theory the analyses are based on. He demonstrates that one may face serious and sometimes unexpected problems, even when conducting very basic analyses. Moreover, the reader learns that a practically relevant research question may look rather simple at first sight. Nevertheless, compared to standard textbooks, a more detailed account of the theory underlying life expectancy calculations is needed in order to provide a mathematically rigorous framework.
Author: Georg Zimmermann Publisher: Springer ISBN: 3658177195 Category : Mathematics Languages : en Pages : 106
Book Description
Georg Zimmermann provides a mathematically rigorous treatment of basic survival analytic methods. His emphasis is also placed on various questions and problems, especially with regard to life expectancy calculations arising from a particular real-life dataset on patients with epilepsy. The author shows both the step-by-step analyses of that dataset and the theory the analyses are based on. He demonstrates that one may face serious and sometimes unexpected problems, even when conducting very basic analyses. Moreover, the reader learns that a practically relevant research question may look rather simple at first sight. Nevertheless, compared to standard textbooks, a more detailed account of the theory underlying life expectancy calculations is needed in order to provide a mathematically rigorous framework.
Author: Ludwig Streit Publisher: World Scientific ISBN: 9789971978402 Category : Science Languages : en Pages : 358
Book Description
This volume focuses on differential equations such as for hydrodynamics, solitary waves, relativistic field theory, stochastic analysis, as well as their interplay, which has been attracting a growing interest in recent years.
Author: Vladimir Kanovei Publisher: Springer Science & Business Media ISBN: 366208998X Category : Mathematics Languages : en Pages : 421
Book Description
In the aftermath of the discoveries in foundations of mathematiC's there was surprisingly little effect on mathematics as a whole. If one looks at stan dard textbooks in different mathematical disciplines, especially those closer to what is referred to as applied mathematics, there is little trace of those developments outside of mathematical logic and model theory. But it seems fair to say that there is a widespread conviction that the principles embodied in the Zermelo - Fraenkel theory with Choice (ZFC) are a correct description of the set theoretic underpinnings of mathematics. In most textbooks of the kind referred to above, there is, of course, no discussion of these matters, and set theory is assumed informally, although more advanced principles like Choice or sometimes Replacement are often mentioned explicitly. This implicitly fixes a point of view of the mathemat ical universe which is at odds with the results in foundations. For example most mathematicians still take it for granted that the real number system is uniquely determined up to isomorphism, which is a correct point of view as long as one does not accept to look at "unnatural" interpretations of the membership relation.
Author: Sergio Albeverio Publisher: Springer Science & Business Media ISBN: 9401584516 Category : Mathematics Languages : en Pages : 255
Book Description
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis'. `Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics.
Author: Paul B. Baltes Publisher: Psychology Press ISBN: 1317783980 Category : Psychology Languages : en Pages : 389
Book Description
This serial publication continues to review life-span research and theory in the behavioral and social sciences, particularly work done by psychologists and sociologists conducting programmatic research on current problems and refining theoretical positions. Each volume introduces excellent peer-reviewed empirical research into the field of life-span development while presenting interdisciplinary viewpoints on the topic. Often challenging accepted theories, this series is of great interest to developmental, personality, and social psychologists.
Author: Library of Congress. Cataloging Policy and Support Office Publisher: ISBN: Category : Subject headings, Library of Congress Languages : en Pages : 1938
Author: Library of Congress. Office for Subject Cataloging Policy Publisher: ISBN: Category : Subject headings, Library of Congress Languages : en Pages : 1580
Author: Georg Zimmermann
Author: Georg Zimmermann
Author: Ludwig Streit
Author: Vladimir Kanovei
Author: Sergio Albeverio
Author: Paul B. Baltes
Author: Library of Congress
Author: 
Author: Library of Congress. Cataloging Policy and Support Office
Author: 
Author: Library of Congress. Office for Subject Cataloging Policy