Felix Klein and Sophus Lie : Evolution of the Idea of Symmetry in the Nineteenth Century PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Felix Klein and Sophus Lie : Evolution of the Idea of Symmetry in the Nineteenth Century PDF full book. Access full book title Felix Klein and Sophus Lie : Evolution of the Idea of Symmetry in the Nineteenth Century by Isaak Moiseevich Aglom. Download full books in PDF and EPUB format.
Author: Isaak Moiseevich Aglom
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages :
Get Book Here
Book Description
Author: Isaak Moiseevich Aglom
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages :
Get Book Here
Book Description
Author: Isaak M. Jaglom
Publisher:
ISBN: 9783764333164
Category : Geometry
Languages : en
Pages : 237
Get Book Here
Book Description
Author: Isaak Moiseevich Iaglom
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 237
Get Book Here
Book Description
Author: Tucker McElroy
Publisher: Infobase Publishing
ISBN: 1438109210
Category : Mathematicians
Languages : en
Pages : 321
Get Book Here
Book Description
Profiles more than 150 mathematicians from around the world who made important contributions to their field, including Rene Descartes, Emily Noether and Bernhard Riemann.
Author: Исаак Моисеевич Яглом
Publisher: Birkhäuser
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 264
Get Book Here
Book Description
Author: Arild Stubhaug
Publisher: Springer Science & Business Media
ISBN: 3662043866
Category : Mathematics
Languages : en
Pages : 556
Get Book Here
Book Description
Sophus Lie (1842-1899) is one of Norways greatest scientific talents. His mathematical works have made him famous around the world no less than Niels Henrik Abel. The terms "Lie groups" and "Lie algebra" are part of the standard mathematical vocabulary. In his comprehensive biography the author Arild Stubhaug introduces us to both the person Sophus Lie and his time. We follow him through: childhood at the vicarage in Nordfjordeid; his youthful years in Moss; education in Christiania; travels in Europe; and learn about his contacts with the leading mathematicians of his time.
Author: Brian J. Cantwell
Publisher: Cambridge University Press
ISBN: 9781139431712
Category : Mathematics
Languages : en
Pages : 670
Get Book Here
Book Description
Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.
Author: Renate Tobies
Publisher: Springer Nature
ISBN: 3030757854
Category : Mathematics
Languages : en
Pages : 677
Get Book Here
Book Description
About Felix Klein, the famous Greek mathematician Constantin Carathéodory once said: “It is only by illuminating him from all angles that one can come to understand his significance.” The author of this biography has done just this. A detailed study of original sources has made it possible to uncover new connections; to create a more precise representation of this important mathematician, scientific organizer, and educational reformer; and to identify misconceptions. Because of his edition of Julius Plücker’s work on line geometry and due to his own contributions to non-Euclidean geometry, Klein was already well known abroad before he received his first full professorship at the age of 23. By exchanging ideas with his most important cooperation partner, the Norwegian Sophus Lie, Klein formulated his Erlangen Program. Various other visionary programs followed, in which Klein involved mathematicians from Germany and abroad. Klein was the most active promoter of Riemann’s geometric-physical approach to function theory, but he also integrated the analytical approaches of the Weierstrass school into his arsenal of methods. Klein was a citizen of the world who repeatedly travelled to France, Great Britain, Italy, the United States, and elsewhere. Despite what has often been claimed, it must be emphasized that Klein expressly opposed national chauvinism. He promoted mathematically gifted individuals regardless of their nationality, religion, or gender. Many of his works have been translated into English, French, Italian, Russian, and other languages; more than 300 supporters from around the world made it possible for his portrait to be painted by the prominent impressionist Max Liebermann. Inspired by international developments, Klein paved the way for women to work in the field of mathematics. He was instrumental in reforming mathematical education, and he endorsed an understanding of mathematics that affirmed its cultural importance as well as its fundamental significance to scientific and technological progress.
Author: Nikolaĭ Ivanovich Lobachevskiĭ
Publisher: European Mathematical Society
ISBN: 9783037190876
Category : Geometry, Non-Euclidean
Languages : en
Pages : 332
Get Book Here
Book Description
Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.
Author: Jose G Vargas
Publisher: World Scientific
ISBN: 9814566411
Category : Mathematics
Languages : en
Pages : 312
Get Book Here
Book Description
This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative — almost like a story being told — that does not impede sophistication and deep results.It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter.In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose.
