Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas PDF Download
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Author: Janusz Czy?
Publisher: World Scientific
ISBN: 9789810201890
Category : Mathematics
Languages : en
Pages : 768
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Book Description
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Author: Janusz Czy?
Publisher: World Scientific
ISBN: 9789810201890
Category : Mathematics
Languages : en
Pages : 768
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Book Description
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Author: Janusz Czyz
Publisher: World Scientific
ISBN: 9814506958
Category : Mathematics
Languages : en
Pages : 767
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Book Description
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Author: Andrea Bonfiglioli
Publisher: Springer Science & Business Media
ISBN: 3642225969
Category : Mathematics
Languages : en
Pages : 554
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Book Description
Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation, provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) and quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications. The book assumes some undergraduate-level knowledge of algebra and analysis, but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool for beginners in Algebra.
Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253
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Book Description
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Author: Piotr Kielanowski
Publisher: Birkhäuser
ISBN: 3319635948
Category : Mathematics
Languages : en
Pages : 280
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Book Description
This book features a selection of articles based on the XXXV Białowieża Workshop on Geometric Methods in Physics, 2016. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics. In 2016 the special session "Integrability and Geometry" in particular attracted pioneers and leading specialists in the field. Traditionally, the Białowieża Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career researchers, and the book also includes extended abstracts of the lecture series.
Author: Neal Noah Madras
Publisher: American Mathematical Soc.
ISBN: 0821819925
Category : Mathematics
Languages : en
Pages : 238
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Book Description
This volume contains the proceedings of the Workshop on Monte Carlo Methods held at The Fields Institute for Research in Mathematical Sciences (Toronto, 1998). The workshop brought together researchers in physics, statistics, and probability. The papers in this volume - of the invited speakers and contributors to the poster session - represent the interdisciplinary emphasis of the conference. Monte Carlo methods have been used intensively in many branches of scientific inquiry. Markov chain methods have been at the forefront of much of this work, serving as the basis of many numerical studies in statistical physics and related areas since the Metropolis algorithm was introduced in 1953. Statisticians and theoretical computer scientists have used these methods in recent years, working on different fundamental research questions, yet using similar Monte Carlo methodology. This volume focuses on Monte Carlo methods that appear to have wide applicability and emphasizes new methods, practical applications and theoretical analysis. It will be of interest to researchers and graduate students who study and/or use Monte Carlo methods in areas of probability, statistics, theoretical physics, or computer science.
Author: Cristoforo Sergio Bertuglia
Publisher: Oxford University Press, USA
ISBN: 0198567901
Category : Business & Economics
Languages : en
Pages : 404
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Book Description
Covering a broad range of topics and adopting a detailed philosophical approach to the subject, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences.
Author: Michael Trott
Publisher: Springer
ISBN: 1441985034
Category : Mathematics
Languages : en
Pages : 1060
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Book Description
This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.
Author: Uriah Kriegel
Publisher: Taylor & Francis
ISBN: 1317690559
Category : Philosophy
Languages : en
Pages : 409
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Book Description
Both through his own work and that of his students, Franz Clemens Brentano (1838–1917) had an often underappreciated influence on the course of twentieth- and twenty-first-century philosophy. The Routledge Handbook of Franz Brentano and the Brentano School offers full coverage of Brentano’s philosophy and his influence. It contains 38 brand-new essays from an international team of experts that offer a comprehensive view of Brentano’s central research areas—philosophy of mind, metaphysics, and value theory—as well as of the principal figures shaped by Brentano’s school of thought. A general introduction serves as an overview of Brentano and the contents of the volume, and three separate bibliographies point students and researchers on to further avenues of inquiry. Systematic and detailed, The Routledge Handbook of Franz Brentano and the Brentano School provides readers with a valuable reference to Brentano’s work and to his lasting importance in the history of philosophy and in contemporary debates.
Author: Andrew McFarland
Publisher: Springer
ISBN: 149391474X
Category : Mathematics
Languages : en
Pages : 511
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Book Description
Alfred Tarski (1901–1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra. Throughout his career, he taught mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now. This self-contained book focuses on Tarski’s early contributions to geometry and mathematics education, including the famous Banach–Tarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy. These themes are significant since Tarski’s later research on geometry and its foundations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations and much newly uncovered social background of these works written during Tarski’s years in Poland. Alfred Tarski: Early Work in Poland serves the mathematical, educational, philosophical and historical communities by publishing Tarski’s early writings in a broadly accessible form, providing background from archival work in Poland and updating Tarski’s bibliography. A list of errata can be found on the author Smith’s personal webpage.
