Constantin Caratheodory In His Origins

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Constantin Caratheodory In His Origins

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Author : Thomas Vougiouklis
language : en
Publisher:
Release Date : 2001

Constantin Caratheodory In His Origins written by Thomas Vougiouklis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Calculus of variations categories.

Constantin Carath Odory

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Author : Maria Georgiadou
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Constantin Carath Odory written by Maria Georgiadou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

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 Carath Odory

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Author :
language : en
Publisher:
Release Date :

Constantin Carath Odory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Calculus of variations categories.

Features a brief biographical sketch of Greek mathematician Constantin Caratheodory (1873-1950), compiled as part of the MacTutor History of Mathematics Archive of the School of Mathematics and Statistics at the University of Saint Andrews in Scotland. Notes that Caratheodory made significant contributions to the calculus of variations, the theory of point set measure, and the theory of functions of a real variable.

Constantin Caratheodory An International Tribute In 2 Volumes

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Author : Themistocles M Rassias
language : en
Publisher: World Scientific
Release Date : 1991-06-03

Constantin Caratheodory An International Tribute In 2 Volumes written by Themistocles M Rassias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-03 with Mathematics categories.

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.

Analytic Hyperbolic Geometry And Albert Einstein S Special Theory Of Relativity Second Edition

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Author : Abraham Albert Ungar
language : en
Publisher: World Scientific
Release Date : 2022-02-22

Analytic Hyperbolic Geometry And Albert Einstein S Special Theory Of Relativity Second Edition written by Abraham Albert Ungar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-22 with Mathematics categories.

This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. The premise of analogy as a study strategy is to make the unfamiliar familiar. Accordingly, this book introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Gyrovectors turn out to be equivalence classes that add according to the gyroparallelogram law just as vectors are equivalence classes that add according to the parallelogram law. In the gyrolanguage of this book, accordingly, one prefixes a gyro to a classical term to mean the analogous term in hyperbolic geometry. As an example, the relativistic gyrotrigonometry of Einstein's special relativity is developed and employed to the study of the stellar aberration phenomenon in astronomy.Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. It turns out that the invariant mass of the relativistic center of mass of an expanding system (like galaxies) exceeds the sum of the masses of its constituent particles. This excess of mass suggests a viable mechanism for the formation of dark matter in the universe, which has not been detected but is needed to gravitationally 'glue' each galaxy in the universe. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying hyperbolic geometry.

Analytic Hyperbolic Geometry Mathematical Foundations And Applications

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Author : Abraham Albert Ungar
language : en
Publisher: World Scientific
Release Date : 2005-09-05

Analytic Hyperbolic Geometry Mathematical Foundations And Applications written by Abraham Albert Ungar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-05 with Mathematics categories.

This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. Gyrovectors are equivalence classes of directed gyrosegments that add according to the gyroparallelogram law just as vectors are equivalence classes of directed segments that add according to the parallelogram law. In the resulting “gyrolanguage” of the book one attaches the prefix “gyro” to a classical term to mean the analogous term in hyperbolic geometry. The prefix stems from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Gyrolanguage turns out to be the language one needs to articulate novel analogies that the classical and the modern in this book share.The scope of analytic hyperbolic geometry that the book presents is cross-disciplinary, involving nonassociative algebra, geometry and physics. As such, it is naturally compatible with the special theory of relativity and, particularly, with the nonassociativity of Einstein velocity addition law. Along with analogies with classical results that the book emphasizes, there are remarkable disanalogies as well. Thus, for instance, unlike Euclidean triangles, the sides of a hyperbolic triangle are uniquely determined by its hyperbolic angles. Elegant formulas for calculating the hyperbolic side-lengths of a hyperbolic triangle in terms of its hyperbolic angles are presented in the book.The book begins with the definition of gyrogroups, which is fully analogous to the definition of groups. Gyrogroups, both gyrocommutative and non-gyrocommutative, abound in group theory. Surprisingly, the seemingly structureless Einstein velocity addition of special relativity turns out to be a gyrocommutative gyrogroup operation. Introducing scalar multiplication, some gyrocommutative gyrogroups of gyrovectors become gyrovector spaces. The latter, in turn, form the setting for analytic hyperbolic geometry just as vector spaces form the setting for analytic Euclidean geometry. By hybrid techniques of differential geometry and gyrovector spaces, it is shown that Einstein (Möbius) gyrovector spaces form the setting for Beltrami-Klein (Poincaré) ball models of hyperbolic geometry. Finally, novel applications of Möbius gyrovector spaces in quantum computation, and of Einstein gyrovector spaces in special relativity, are presented.

Semihypergroup Theory

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Author : Bijan Davvaz
language : en
Publisher: Academic Press
Release Date : 2016-06-24

Semihypergroup Theory written by Bijan Davvaz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-24 with Mathematics categories.

Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled. Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers have been published on this subject. Offers the first book devoted to the semihypergroup theory Presents an introduction to recent progress in the theory of semihypergroups Covers most of the mathematical ideas and techniques required in the study of semihypergroups Employs the notion of fundamental relations to connect semihypergroups to semigroups

Writing The History Of Mathematics Its Historical Development

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Author : Joseph W. Dauben
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-09-23

Writing The History Of Mathematics Its Historical Development written by Joseph W. Dauben and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-23 with Mathematics categories.

As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

Relocating The History Of Science

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Author : Theodore Arabatzis
language : en
Publisher: Springer
Release Date : 2015-05-19

Relocating The History Of Science written by Theodore Arabatzis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-19 with Science categories.

This volume is put together in honor of a distinguished historian of science, Kostas Gavroglu, whose work has won international acclaim, and has been pivotal in establishing the discipline of history of science in Greece, its consolidation in other countries of the European Periphery, and the constructive dialogue of these emerging communities with an extended community of international scholars. The papers in the volume reflect Gavroglu’s broad range of intellectual interests and touch upon significant themes in recent history and philosophy of science. They include topics in the history of modern physical sciences, science and technology in the European periphery, integrated history and philosophy of science, historiographical considerations, and intersections with the history of mathematics, technology and contemporary issues. They are authored by eminent scholars whose academic and personal trajectories crossed with Gavroglu’s. The book will interest historians and philosophers of science and technology alike, as well as science studies scholars, and generally readers interested in the role of the sciences in the past in various geographical contexts.

Mastering The History Of Pure And Applied Mathematics

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Author : Toke Knudsen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-06-04

Mastering The History Of Pure And Applied Mathematics written by Toke Knudsen and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-04 with History categories.

The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.