Principles Methods Of Geomet
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Methods Of Geometry In The Theory Of Partial Differential Equations Principle Of The Cancellation Of Singularities
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Author : Takashi Suzuki
language : en
Publisher: World Scientific
Release Date : 2024-01-22
Methods Of Geometry In The Theory Of Partial Differential Equations Principle Of The Cancellation Of Singularities written by Takashi Suzuki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-22 with Mathematics categories.
Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions filled with unexpected phenomena.In spite of a huge number of insights derived from a variety of scientific fields in these five hundred years of the theory of differential equations, and its extensive developments in these one hundred years, several principles that ensure these successes are discovered very recently.This monograph focuses on one of them: cancellation of singularities derived from interactions of multiple species, which is described by the language of geometry, in particular, that of global analysis.Five objects of inquiry, scattered across different disciplines, are selected in this monograph: evolution of geometric quantities, models of multi-species in biology, interface vanishing of d - δ systems, the fundamental equation of electro-magnetic theory, and free boundaries arising in engineering.The relaxation of internal tensions in these systems, however, is described commonly by differential forms, and the reader will be convinced of further applications of this principle to other areas.
Discourse On Method Optics Geometry And Meteorology
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Author : René Descartes
language : en
Publisher: Hackett Publishing
Release Date : 2001-01-01
Discourse On Method Optics Geometry And Meteorology written by René Descartes and has been published by Hackett Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Philosophy categories.
This volume preserves the format in which Discourse on Method was originally published: as a preface to Descartes's writings on optics, geometry, and meteorology. In his introduction, Olscamp discusses the value of reading the Discourse alongside these three works, which sheds new light on Descartes's method. Includes an updated bibliography.
Notes On The History Methods And Technological Importance Of Descriptive Geometry
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Author : Alexander W. Cunningham
language : en
Publisher:
Release Date : 1868
Notes On The History Methods And Technological Importance Of Descriptive Geometry written by Alexander W. Cunningham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1868 with Geometry, Descriptive categories.
Women In Mathematics
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Author : Janet L. Beery
language : en
Publisher: Springer
Release Date : 2017-12-02
Women In Mathematics written by Janet L. Beery and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-02 with Mathematics categories.
This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. Emerging from the themed paper session “The Contributions of Women to Mathematics: 100 Years and Counting” at MAA's 2015 MathFest, this volume contains a diverse mix of current scholarship and exposition on women and mathematics, including biographies, histories, and cultural discussions. The multiplicity of authors also ensures a wide variety of perspectives. In inspiring and informative chapters, the authors featured in this volume reflect on the accomplishments of women in mathematics, showcasing the changes in mathematical culture that resulted as more women obtained tenure-track and tenured academic positions, received prestigious awards and honors, served in leadership roles in professional societies, and became more visibly active in the mathematical community. Readers will find discussions of mathematical excellence at Girton College, Cambridge, in the late 19th and early 20th centuries; of perseverance by Polish women in mathematics during and after World War II and by Black women in mathematics in the United States from the 1880s onward; and of the impact of outreach programs ranging from EDGE's promotion of graduate education to the Daughters of Hypatia dance performances. The volume also provides informative biographies of a variety of women from mathematics and statistics, many of them well-known and others less well-known, including Charlotte Angas Scott, Emmy Noether, Mina Rees, Gertrude Cox, Euphemia Lofton Haynes, Norma Hernandez, Deborah Tepper Haimo, and Teri Perl. These essays provide compelling reading for a wide audience, including mathematicians, historians of science, teachers of mathematics, and students at the high school, college, and graduate levels. Anyone interested in attracting more girls and women as students, faculty, and/or employees will also find this volume engaging and enlightening.
Advanced Euclidean Geometry
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Author : Roger A. Johnson
language : en
Publisher: Courier Corporation
Release Date : 2013-01-08
Advanced Euclidean Geometry written by Roger A. Johnson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-08 with Mathematics categories.
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Proceedings Of The Workshop Contemporary Geometry And Related Topics
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Author : Neda Bokan
language : en
Publisher: World Scientific
Release Date : 2004
Proceedings Of The Workshop Contemporary Geometry And Related Topics written by Neda Bokan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Readership: Researchers in geometry & topology, nonlinear science and dynamical systems.
Contemporary Geometry And Related Topics Proceedings Of The Workshop
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Author : Neda Bokan
language : en
Publisher: World Scientific
Release Date : 2004-03-15
Contemporary Geometry And Related Topics Proceedings Of The Workshop written by Neda Bokan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-15 with Mathematics categories.
This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science. Most of the papers show new, interesting results in Riemannian geometry, homotopy theory, theory of Lie groups and Lie algebras, topological analysis, integrable systems, quantum groups, and noncommutative geometry. There are also papers giving overviews of the recent achievements in some special topics, such as the Willmore conjecture, geodesic mappings, Weyl's tube formula, and integrable geodesic flows. This book provides a great chance for interchanging new results and ideas in multidisciplinary studies.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Variational Principles In Mathematical Physics Geometry And Economics
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Author : Alexandru Kristály
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-19
Variational Principles In Mathematical Physics Geometry And Economics written by Alexandru Kristály and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-19 with Mathematics categories.
A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.
Principles Of Quantitative Living Systems Science
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Author : James R. Simms
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-02
Principles Of Quantitative Living Systems Science written by James R. Simms 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 2005-12-02 with Science categories.
In 1978, when the book Living Systems was published, it contained the prediction that the sciences that were concerned with the biological and social sciences would, in the future, be stated as rigorously as the “hard sciences” that study such nonliving phenomena as temperature, distance, and the interaction of chemical elements. Principles of Quantitative Living Systems Science, the first of a planned series of three books, begins an attempt to fulfill that prediction. The view that living things are similar to other parts of the physical world, differing only in their complexity, was explicitly stated in the early years of the twentieth century by the biologist Ludwig von Bertalanffy. His ideas could not be published until the end of the war in Europe in the 1940s. Von Bertalanffy was strongly opposed to vitalism, the theory current among biologists at the time that life could only be explained by recourse to a “vital principle” or God. He c- sidered living things to be a part of the natural order, “systems” like atoms and molecules and planetary systems. Systems were described as being made up of a number of interrelated and interdependent parts, but because of the interrelations, the total system became more than the sum of those parts. These ideas led to the development of systems movements, in both Europe and the United States, that included not only biologists but scientists in other fields as well. Systems societies were formed on both continents.
The Principle Of Least Action In Geometry And Dynamics
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Author : Karl Friedrich Siburg
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-05-17
The Principle Of Least Action In Geometry And Dynamics written by Karl Friedrich Siburg 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 2004-05-17 with Computers categories.
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.