Constantin Carathéodory

Constantin Carathéodory
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.

Constantin Caratheodory: An International Tribute (In 2 Volumes)

Constantin Caratheodory: An International Tribute (In 2 Volumes)
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.

Conformal Representation

Conformal Representation
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.

Uncle Petros and Goldbach's Conjecture

Uncle Petros and Goldbach's Conjecture
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.

Constantin Carathéodory

Constantin Carathéodory
Author: Maria Geōrgiadou
Publisher: Springer Science & Business Media
Total Pages: 688
Release: 2004
Genre: Biography & Autobiography
ISBN:

Constantin Carathiodory (Berlin 1873-1950 Munich) - Mathematics and Politics in Turbulent Times is a biography of a mathematician who became famous during his life, but has hitherto been ignored by historians for half a century after his death. In a thought-provoking approach, Maria Georgiadou devotes to Constantin Carathiodory all the attention such a personality deserves. With breathtaking detail and the appropriate scrutiny she elucidates his oeuvre, life and turbulent political/historical surroundings: descending from the Greek ilite of Constantinople, Carathiodory graduated from the military school of Brussels, became engineer at the Assiout dam in Egypt and finally dedicated a life of effort to mathematics and education. He studied and embarked on an international academic career, haunted by wars, catastrophes and personal tragedies. Over the last years of his life, he stayed in Munich despite World War II, an ambiguous decision upon which the author sheds unprecedented light. Carathiodory's most significant mathematical contributions were to the calculus of variations, the theory of point set measure, and the theory of functions of a real variable, pdes, also to complex function theory. The interdisciplinarity of the text allows easy access for both scholars and readers with a general interest in mathematics, politics and history. The thoroughness of the author's research and evaluations is certain to leave everyone impressed and more knowledgeable.

Geometric Integration Theory

Geometric Integration Theory
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.

Measures, Integrals and Martingales

Measures, Integrals and Martingales
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.

Encyclopedia of Continuum Mechanics

Encyclopedia of Continuum Mechanics
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.

Implicit Functions and Solution Mappings

Implicit Functions and Solution Mappings
Author: Asen L. Dontchev
Publisher: Springer
Total Pages: 495
Release: 2014-06-18
Genre: Mathematics
ISBN: 149391037X

The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.