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The Mathematician Sophus Lie

The Mathematician Sophus Lie
Author: Arild Stubhaug
Publisher: Springer Science & Business Media
Total Pages: 556
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662043866

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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.


Emergence of the Theory of Lie Groups

Emergence of the Theory of Lie Groups
Author: Thomas Hawkins
Publisher: Springer Science & Business Media
Total Pages: 578
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461212022

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The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.


Lie Algebras

Lie Algebras
Author: Nathan Jacobson
Publisher: Courier Corporation
Total Pages: 348
Release: 2013-09-16
Genre: Mathematics
ISBN: 0486136795

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DIVDefinitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, etc. Index. /div


Marius Sophus Lie

Marius Sophus Lie
Author:
Publisher:
Total Pages:
Release:
Genre:
ISBN:

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Features a biographical sketch of the Norwegian mathematician Marius Sophus Lie (1842-1899), presented by the School of Mathematics and Statistics of the University of Saint Andrews in Scotland. Notes that Lie discovered contact transformation and highlights his contributions to differential geometry and differential equations.


Lie Groups

Lie Groups
Author: Harriet Suzanne Katcher Pollatsek
Publisher: MAA
Total Pages: 194
Release: 2009-09-24
Genre: Mathematics
ISBN: 9780883857595

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This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called 'Putting the pieces together' in which all definitions and results are collected for reference and further reading is suggested.


Gösta Mittag-Leffler

Gösta Mittag-Leffler
Author: Arild Stubhaug
Publisher: Springer Science & Business Media
Total Pages: 696
Release: 2010-08-03
Genre: Mathematics
ISBN: 3642116728

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Gösta Mittag-Leffler (1846–1927) played a significant role as both a scientist and entrepreneur. Regarded as the father of Swedish mathematics, his influence extended far beyond his chosen field because of his extensive network of international contacts in science, business, and the arts. He was instrumental in seeing to it that Marie Curie was awarded the Nobel Prize twice. One of Mittag-Leffler’s major accomplishments was the founding of the journal Acta Mathematica , published by Institut Mittag-Leffler and Sweden’s Royal Academy of Sciences. Arild Stubhaug’s research for this monumental biography relied on a wealth of primary and secondary resources, including more than 30000 letters that are part of the Mittag-Leffler archives. Written in a lucid and compelling manner, the biography contains many hitherto unknown facts about Mittag-Leffler’s personal life and professional endeavors. It will be of great interest to both mathematicians and general readers interested in science and culture.


Felix Klein and Sophus Lie

Felix Klein and Sophus Lie
Author: Исаак Моисеевич Яглом
Publisher: Birkhäuser
Total Pages: 264
Release: 1988
Genre: Biography & Autobiography
ISBN:

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A Richer Picture of Mathematics

A Richer Picture of Mathematics
Author: David E. Rowe
Publisher: Springer
Total Pages: 448
Release: 2018-02-13
Genre: Mathematics
ISBN: 3319678191

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Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.


Introduction to Symmetry Analysis Paperback with CD-ROM

Introduction to Symmetry Analysis Paperback with CD-ROM
Author: Brian Cantwell
Publisher: Cambridge University Press
Total Pages: 660
Release: 2002-09-23
Genre: Mathematics
ISBN: 9780521777407

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An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.


Symmetry Methods for Differential Equations

Symmetry Methods for Differential Equations
Author: Peter Ellsworth Hydon
Publisher: Cambridge University Press
Total Pages: 230
Release: 2000-01-28
Genre: Mathematics
ISBN: 9780521497862

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This book is a straightforward introduction to the subject of symmetry methods for solving differential equations, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily.The book contains some methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.