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Differential Equations From The Algebraic Standpoint By Joseph Fels Ritt


Differential Equations From The Algebraic Standpoint By Joseph Fels Ritt
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Differential Equations From The Algebraic Standpoint


Differential Equations From The Algebraic Standpoint
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Author : Joseph Fels Ritt
language : en
Publisher: American Mathematical Soc.
Release Date : 1932-12-31

Differential Equations From The Algebraic Standpoint written by Joseph Fels Ritt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932-12-31 with Mathematics categories.


This book can be viewed as a first attempt to systematically develop an algebraic theory of nonlinear differential equations, both ordinary and partial. The main goal of the author was to construct a theory of elimination, which ``will reduce the existence problem for a finite or infinite system of algebraic differential equations to the application of the implicit function theorem taken with Cauchy's theorem in the ordinary case and Riquier's in the partial.'' In his 1934 review of the book, J. M. Thomas called it ``concise, readable, original, precise, and stimulating'', and his words still remain true. A more fundamental and complete account of further developments of the algebraic approach to differential equations is given in Ritt's treatise Differential Algebra, written almost 20 years after the present work (Colloquium Publications, Vol. 33, American Mathematical Society, 1950).



Differential Equations From The Algebraic Standpoint By Joseph Fels Ritt


Differential Equations From The Algebraic Standpoint By Joseph Fels Ritt
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Author : Joseph Fels Ritt
language : en
Publisher:
Release Date :

Differential Equations From The Algebraic Standpoint By Joseph Fels Ritt written by Joseph Fels Ritt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Differential Algebra


Differential Algebra
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Author : Joseph Fels Ritt
language : en
Publisher: American Mathematical Soc.
Release Date : 1950-12-31

Differential Algebra written by Joseph Fels Ritt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950-12-31 with Mathematics categories.


A gigantic task undertaken by J. F. Ritt and his collaborators in the 1930's was to give the classical theory of nonlinear differential equations, similar to the theory created by Emmy Noether and her school for algebraic equations and algebraic varieties. The current book presents the results of 20 years of work on this problem. The book quickly became a classic, and thus far, it remains one of the most complete and valuable accounts of differential algebra and its applications.



Differential Equations From The Algebraic Standpoint


Differential Equations From The Algebraic Standpoint
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Author : Fels Ritt Joseph
language : en
Publisher: Andesite Press
Release Date : 2015-08-09

Differential Equations From The Algebraic Standpoint written by Fels Ritt Joseph and has been published by Andesite Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-09 with categories.


This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



Differential Algebra By Joseph Fels Ritt


Differential Algebra By Joseph Fels Ritt
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Author : Joseph Fels Ritt
language : en
Publisher:
Release Date : 1950

Differential Algebra By Joseph Fels Ritt written by Joseph Fels Ritt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with categories.




Differential Algebra


Differential Algebra
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Author : Joseph Fels Ritt
language : en
Publisher:
Release Date : 1950

Differential Algebra written by Joseph Fels Ritt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Differential equations categories.




Differential Algebra By Joseph Fels Ritt


Differential Algebra By Joseph Fels Ritt
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Author : American Mathematical Society Staff
language : en
Publisher:
Release Date :

Differential Algebra By Joseph Fels Ritt written by American Mathematical Society Staff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




J Holomorphic Curves And Symplectic Topology


J Holomorphic Curves And Symplectic Topology
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Author : Dusa McDuff
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

J Holomorphic Curves And Symplectic Topology written by Dusa McDuff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology.



Differential Systems


Differential Systems
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Author : Joseph Miller Thomas
language : en
Publisher: American Mathematical Soc.
Release Date : 1937-12-31

Differential Systems written by Joseph Miller Thomas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1937-12-31 with Mathematics categories.


The main goal of this book is to present the theory of systems of partial differential equations and the theory of Pfaffian systems so as to exhibit clearly the relations between them. In presenting the theory of Pfaffian systems, the author develops, in detail, the theories of Grassmann algebras and rings with differentiation. In particular, following Grassmann and E. Cartan, he introduces and freely uses what is now known as a ring of differential forms with functional coefficients. In presenting the theory of systems of partial differential equations, the author concentrates on the existence of solutions and methods of approximating them, rather than on their properties. The relations and similarities of two theories are displayed through the systematic use of various versions of the elimination method.



Reviving Ancient Chinese Mathematics


Reviving Ancient Chinese Mathematics
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Author : Jiri Hudecek
language : en
Publisher: Routledge
Release Date : 2014-07-25

Reviving Ancient Chinese Mathematics written by Jiri Hudecek and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-25 with History categories.


Twentieth-century China has been caught between a desire to increase its wealth and power in line with other advanced nations, which, by implication, means copying their institutions, practices and values, whilst simultaneously seeking to preserve China’s independence and historically formed identity. Over time, Chinese philosophers, writers, artists and politicians have all sought to reconcile these goals and this book shows how this search for a Chinese way penetrated even the most central, least contested area of modernity: science. Reviving Ancient Chinese Mathematics is a study of the life of one of modern China’s most admired scientific figures, the mathematician Wu Wen-Tsun. Negotiating the conflict between progress and tradition, he found a path that not only ensured his political and personal survival, but which also brought him renown as a mathematician of international status who claimed that he stood outside the dominant western tradition of mathematics. Wu Wen-Tsun’s story highlights crucial developments and contradictions in twentieth -century China, the significance of which extends far beyond the field of mathematics. On one hand lies the appeal of radical scientific modernity, "mechanisation" in all its forms, and competitiveness within the international scientific community. On the other is an anxiety to preserve national traditions and make them part of the modernisation project. Moreover, Wu’s intellectual development also reflects the complex relationship between science and Maoist ideology, because his turn to history was powered by his internalisation of certain aspects of Maoist ideology, including its utilitarian philosophy of science. This book traces how Wu managed to combine political success and international scientific eminence, a story that has wider implications for a new century of increasing Chinese activity in the sciences. As such, it will be of great interest to students and scholars of Chinese history, the history of science and the history and philosophy of mathematics.