Constantin Carathéodory

Author : Maria Georgiadou
Publisher : Springer Science & Business Media
Page : 651 pages
File Size : 45,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642185625

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Constantin Carathéodory by Maria Georgiadou Pdf

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
Page : 1473 pages
File Size : 52,6 Mb
Release : 1991-06-03
Category : Mathematics
ISBN : 9789814506922

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Constantin Caratheodory: An International Tribute (In 2 Volumes) by Themistocles M Rassias Pdf

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
Page : 132 pages
File Size : 48,5 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 048640028X

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Conformal Representation by Constantin Caratheodory Pdf

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 : Nicolas Hadjisavvas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 601 pages
File Size : 54,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302797

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Advances in Convex Analysis and Global Optimization by Nicolas Hadjisavvas,Panos M. Pardalos Pdf

There has been much recent progress in global optimization algo rithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. Convex analysis plays a fun damental role in the analysis and development of global optimization algorithms. This is due essentially to the fact that virtually all noncon vex optimization problems can be described using differences of convex functions and differences of convex sets. A conference on Convex Analysis and Global Optimization was held during June 5 -9, 2000 at Pythagorion, Samos, Greece. The conference was honoring the memory of C. Caratheodory (1873-1950) and was en dorsed by the Mathematical Programming Society (MPS) and by the Society for Industrial and Applied Mathematics (SIAM) Activity Group in Optimization. The conference was sponsored by the European Union (through the EPEAEK program), the Department of Mathematics of the Aegean University and the Center for Applied Optimization of the University of Florida, by the General Secretariat of Research and Tech nology of Greece, by the Ministry of Education of Greece, and several local Greek government agencies and companies. This volume contains a selective collection of refereed papers based on invited and contribut ing talks presented at this conference. The two themes of convexity and global optimization pervade this book. The conference provided a forum for researchers working on different aspects of convexity and global opti mization to present their recent discoveries, and to interact with people working on complementary aspects of mathematical programming.

Author : Ravi P Agarwal,Syamal K Sen
Publisher : Springer
Page : 514 pages
File Size : 50,7 Mb
Release : 2014-11-11
Category : Mathematics
ISBN : 9783319108704

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Creators of Mathematical and Computational Sciences by Ravi P Agarwal,Syamal K Sen Pdf

​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Author : Themistocles M. Rassias
Publisher : World Scientific
Page : 744 pages
File Size : 53,6 Mb
Release : 1991
Category : Calculus of variations
ISBN : 981020230X

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Constantin Carath‚odory by Themistocles M. Rassias Pdf

Author : Constantin Carathéodory
Publisher : Unknown
Page : 410 pages
File Size : 49,5 Mb
Release : 1963
Category : Caratheodory measure
ISBN : UOM:39015001339483

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Algebraic Theory of Measure and Integration by Constantin Carathéodory Pdf

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 42,5 Mb
Release : 1991
Category : Electronic
ISBN : OCLC:632476897

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Constantin Carathéodory by Anonim Pdf

Author : Sooyoung Chang
Publisher : World Scientific
Page : 522 pages
File Size : 52,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814282291

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Academic Genealogy of Mathematicians by Sooyoung Chang Pdf

Burn for Burn

Author : James Togeas
Publisher : Lulu.com
Page : 90 pages
File Size : 40,7 Mb
Release : 2018
Category : Entropy
ISBN : 9781387475063

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CarathŽodory and the Second Law by James Togeas Pdf

"The Carathéodory formulation of the second law of thermodynamics is elegant and economical. The thirty page exposition lays out the essentials, both conceptual and mathematical, of his formulation. The nine appendices provide additional detail and depth if the reader wants it, and can be read independently of one another"--Back cover

Author : Dirk von Dalen
Publisher : Springer Science & Business Media
Page : 531 pages
File Size : 41,7 Mb
Release : 2011-07-25
Category : Mathematics
ISBN : 9780857295378

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The Selected Correspondence of L.E.J. Brouwer by Dirk von Dalen Pdf

L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science.

Author : Dirk van Dalen
Publisher : Springer Science & Business Media
Page : 877 pages
File Size : 41,8 Mb
Release : 2012-12-04
Category : Mathematics
ISBN : 9781447146162

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L.E.J. Brouwer – Topologist, Intuitionist, Philosopher by Dirk van Dalen Pdf

Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer’s main interest, however, was in the foundation of mathematics which led him to introduce, and then consolidate, constructive methods under the name ‘intuitionism’. This made him one of the main protagonists in the ‘foundation crisis’ of mathematics. As a confirmed internationalist, he also got entangled in the interbellum struggle for the ending of the boycott of German and Austrian scientists. This time during the twentieth century was turbulent; nationalist resentment and friction between formalism and intuitionism led to the Mathematische Annalen conflict ('The war of the frogs and the mice'). It was here that Brouwer played a pivotal role. The present biography is an updated revision of the earlier two volume biography in one single book. It appeals to mathematicians and anybody interested in the history of mathematics in the first half of the twentieth century.

Author : Robert R. Reitano
Publisher : CRC Press
Page : 276 pages
File Size : 46,6 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9781000596861

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Foundations of Quantitative Finance, Book I: Measure Spaces and Measurable Functions by Robert R. Reitano Pdf

This is the first in a set of 10 books written for professionals in quantitative finance. These books fill the gap between informal mathematical developments found in introductory materials, and more advanced treatments that summarize without formally developing the important foundational results professionals need. Book I in the Foundations in Quantitative Finance Series develops topics in measure spaces and measurable functions and lays the foundation for subsequent volumes. Lebesgue and then Borel measure theory are developed on R, motivating the general extension theory of measure spaces that follows. This general theory is applied to finite product measure spaces, Borel measures on Rn, and infinite dimensional product probability spaces. The overriding goal of these books is a complete and detailed development of the many mathematical theories and results one finds in popular resources in finance and quantitative finance. Each book is dedicated to a specific area of mathematics or probability theory, with applications to finance that are relevant to the needs of professionals. Practitioners, academic researchers, and students will find these books valuable to their career development. All ten volumes are extensively self-referenced. The reader can enter the collection at any point or topic of interest, and then work backward to identify and fill in needed details. This approach also works for a course or self-study on a given volume, with earlier books used for reference. Advanced quantitative finance books typically develop materials with an eye to comprehensiveness in the given subject matter, yet not with an eye toward efficiently curating and developing the theories needed for applications in quantitative finance. This book and series of volumes fill this need.

Author : Evgeni B. Starikov
Publisher : CRC Press
Page : 582 pages
File Size : 54,8 Mb
Release : 2019-04-01
Category : Science
ISBN : 9780429014512

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A Different Thermodynamics and its True Heroes by Evgeni B. Starikov Pdf

Modern thermodynamics is a unique but still not a logically self-consistent field of knowledge. It has a proven universal applicability and significance but its actual potential is still latent. The development of the foundations of thermodynamics was in effect non-stop but absolutely no one has any idea about this. This book is the first of its kind that will motivate researchers to build up a logically consistent field of thermodynamics. It greatly appreciates the actual depth and potential of thermodynamics which might also be of interest to readers in history and philosophy of scientific research. The book presents the life stories of the protagonists in detail and allows readers to cast a look at the whole scene of the field by showcasing a significant number of their colleagues whose works have fittingly complemented their achievements. It also tries to trigger a detailed analysis of the reasons why the actual work in this extremely important field has in effect gone astray. It comprises five chapters and introduces three scientists in the first two chapters, which are specifically devoted to the Scandinavian achievements in macroscopic thermodynamics. These introductions are novel and call for a detailed reconsideration of the field. The third chapter acquaints the readers with their fourth colleague in Germany who was working on the proper link between the macroscopic thermodynamics, kinetics, and the atomistic representation of matter. The fourth chapter brings in their fifth colleague in the United States who could formally infer the famous formula S = k * ln(W), ingeniously guessed by Ludwig Boltzmann, and thus clarify the physical sense of the entropy notion. The last chapter summarizes the above-mentioned discourses.

Author : Friedel Weinert
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 40,8 Mb
Release : 2013-04-03
Category : Science
ISBN : 9783642353475

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The March of Time by Friedel Weinert Pdf

The aim of this interdisciplinary study is to reconstruct the evolution of our changing conceptions of time in the light of scientific discoveries. It will adopt a new perspective and organize the material around three central themes, which run through our history of time reckoning: cosmology and regularity; stasis and flux; symmetry and asymmetry. It is the physical criteria that humans choose – relativistic effects and time-symmetric equations or dynamic-kinematic effects and asymmetric conditions – that establish our views on the nature of time. This book will defend a dynamic rather than a static view of time.