Author: Johann Friedrich PfaffPublisher:
ISBN:
Category : Differential equations, Partial
Languages : de
Pages : 94
Book Description
Allgemeine methode partielle differentialgleichungen zu integriren
Author: Johann Friedrich PfaffPublisher:
ISBN:
Category : Differential equations, Partial
Languages : de
Pages : 94
Book Description
Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
Author: Kenji IoharaPublisher: Springer Nature
ISBN: 3030264548
Category : Mathematics
Languages : en
Pages : 375
Book Description
This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced – with big impact – in the 1990s. Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gröbner bases to analysis on systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars.
Vorlesungen über die Integration der partiellen Differentialgleichungen erster Ordnung
Author: Édouard GoursatPublisher:
ISBN:
Category : Differential equations
Languages : de
Pages : 444
Book Description
Mathematics of the 19th Century
Author: A.N. KolmogorovPublisher: Springer Science & Business Media
ISBN: 9783764358457
Category : Mathematics
Languages : en
Pages : 376
Book Description
The editors of the present series had originally intended to publish an integrated work on the history of mathematics in the nineteenth century, passing systemati cally from one discipline to another in some natural order. Circumstances beyond their control, mainly difficulties in choosing authors, led to the abandonment of this plan by the time the second volume appeared. Instead of a unified mono graph we now present to the reader a series of books intended to encompass all the mathematics of the nineteenth century, but not in the order of the accepted classification of the component disciplines. In contrast to the first two books of The Mathematics of the Nineteenth Century, which were divided into chapters, this third volume consists of four parts, more in keeping with the nature of the publication. 1 We recall that the first book contained essays on the history of mathemati 2 cal logic, algebra, number theory, and probability, while the second covered the history of geometry and analytic function theory. In the present third volume the reader will find: 1. An essay on the development of Chebyshev's theory of approximation of functions, later called "constructive function theory" by S. N. Bernshtein. This highly original essay is due to the late N. I. Akhiezer (1901-1980), the author of fundamental discoveries in this area. Akhiezer's text will no doubt attract attention not only from historians of mathematics, but also from many specialists in constructive function theory.
Allgemeine Methode, partielle Differentialgleichungen zu integriren...
Author: Johann Friedrich PfaffNeue Methode zur Integration partieller Differentialgleichungen erster Ordnung zwischen irgend einer Anzahl von Veränderlichen
Author: Carl Gustav Jakob JacobiPublisher:
ISBN:
Category : Differential equations, Partial
Languages : de
Pages : 236
Book Description
Journal of the Franklin Institute
Author: Franklin Institute (Philadelphia, Pa.)Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 856
Book Description
Vols. 1-69 include more or less complete patent reports of the U. S. Patent Office for years 1825-59.
Author: ![International Catalogue of Scientific Literature [1901-14]. PDF](https://books.google.com/books/content/images/frontcover/EBZLAQAAMAAJ?fife=w80-h100)
Author: 
Author: Astor Library