Constantin Caratheodory
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Author | : Maria Georgiadou |
Publisher | : Springer Science & Business Media |
Total Pages | : 667 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642185622 |
With breathtaking detail, Maria Georgiadou sheds light on the work and life of Constantin Carathéodory, who until now has been ignored by historians. In her thought-provoking book, Georgiadou maps out the mathematician’s oeuvre, life and turbulent historical surroundings. Descending from the Greek élite of Constantinople, Carathéodory graduated from the military school of Brussels, became engineer at the Assiout dam in Egypt and finally dedicated a lifetime to mathematics and education. He significantly contributed to: calculus of variations, the theory of point set measure, the theory of functions of a real variable, pdes, and complex function theory. An exciting and well-written biography, once started, difficult to put down.
Author | : Themistocles M Rassias |
Publisher | : World Scientific |
Total Pages | : 1473 |
Release | : 1991-06-03 |
Genre | : Mathematics |
ISBN | : 9814506923 |
The object of these 2 volumes of collected papers is to provide insight and perspective on various research problems and theories in modern topics of Calculus of Variations, Complex Analysis, Real Analysis, Differential Equations, Geometry and their Applications, related to the work of Constantin Carathéodory. This work will be of interest both to researchers following the development of new results, and to people seeking an introduction in these fields.
Author | : Constantin Caratheodory |
Publisher | : Courier Corporation |
Total Pages | : 132 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 9780486400280 |
Comprehensive introduction discusses the Möbius transformation, non-Euclidean geometry, elementary transformations, Schwarz's Lemma, transformation of the frontier and closed surfaces, and the general theorem of uniformization. Detailed proofs.
Author | : Constantin Carathéodory |
Publisher | : |
Total Pages | : 410 |
Release | : 1963 |
Genre | : Caratheodory measure |
ISBN | : |
Author | : Apostolos Doxiadis |
Publisher | : Faber & Faber |
Total Pages | : 148 |
Release | : 2012-11-15 |
Genre | : Fiction |
ISBN | : 057129569X |
Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
Author | : Steven G. Krantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2008-12-15 |
Genre | : Mathematics |
ISBN | : 0817646795 |
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
Author | : Terence Tao |
Publisher | : American Mathematical Soc. |
Total Pages | : 206 |
Release | : 2021-09-03 |
Genre | : Education |
ISBN | : 1470466406 |
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author | : René L. Schilling |
Publisher | : Cambridge University Press |
Total Pages | : 404 |
Release | : 2005-11-10 |
Genre | : Mathematics |
ISBN | : 9780521850155 |
This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability.
Author | : Holm Altenbach |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2020-01-04 |
Genre | : Science |
ISBN | : 9783662557709 |
This Encyclopedia covers the entire science of continuum mechanics including the mechanics of materials and fluids. The encyclopedia comprises mathematical definitions for continuum mechanical modeling, fundamental physical concepts, mechanical modeling methodology, numerical approaches and many fundamental applications. The modelling and analytical techniques are powerful tools in mechanical civil and areospsace engineering, plus in related fields of plasticity, viscoelasticity and rheology. Tensor-based and reference-frame-independent, continuum mechanics has recently found applications in geophysics and materials.
Author | : Sanford L. Segal |
Publisher | : Princeton University Press |
Total Pages | : 574 |
Release | : 2003 |
Genre | : History |
ISBN | : 9780691004518 |
The effects of the Nazi regime on the lives of mathematicians ranged from limitations on foreign contact to power struggles that rattled entire institutions, from changed work patterns to military draft, deportation, and death. Based on extensive archival research, Mathematicians under the Nazis shows how these mathematicians, variously motivated, reacted to the period's intense political pressures. It details the consequences of their actions on their colleagues and on the practice and organs of German mathematics, including its curricula, institutions, and journals. Throughout, Segal's focus is on the biographies of individuals, including mathematicians who resisted the injection of ideology into their profession, some who worked in concentration camps, and others (such as Ludwig Bieberbach) who used the "Aryanization" of their profession to further their own agendas. Some of the figures are no longer well known; others still tower over the field. All lived lives complicated by Nazi power.