3 edition of **Geometries, groups and algebras in the nineteenth century** found in the catalog.

Geometries, groups and algebras in the nineteenth century

I. M. Iпё AпёЎglom

- 389 Want to read
- 32 Currently reading

Published
**2009**
by ISHI Press, Inc. in Bronx, NY
.

Written in English

- Geometry,
- Mathematicians,
- Symmetry,
- Biography,
- History

**Edition Notes**

Other titles | Novoe v zhizni, nauke, tekhnike. Serii︠a︡ Matematika, kibernetika. |

Statement | by Isaak Moiseevich (I. M.) Yaglom ; translated into English by Sergei Sossinsky ; with a new foreword by Richard Bozulich |

Contributions | Bozulich, Richard, 1936- |

Classifications | |
---|---|

LC Classifications | QA443.5 .I1813 2009 |

The Physical Object | |

Pagination | xxiv, vii, 237 p. : |

Number of Pages | 237 |

ID Numbers | |

Open Library | OL25085335M |

ISBN 10 | 4871878368 |

ISBN 10 | 9784871878364 |

LC Control Number | 2010283895 |

OCLC/WorldCa | 635561356 |

Geometry (; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the third century BC geometry was put into an axiomatic form by Euclid, whose treatment—geometry. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century.

Klein’s classification of geometries by the use of group theory inaugurated a new phase in the debate on the geometry of space. On the one hand, the conclusion of Riemann’s and Helmholtz’s inquiries. Eine Sammlung nützlicher Ressourcen. Introduced by Hermann Grassmann and greatly expanded by William Kingdon Clifford during the 19th century, Geometric Algebras provide a proper abstract framework for the treatment of geometrical vector operations that extend naturally to general dimensions.

In the 19th century groups of transformations became to be intimately tied to symmetries of geometries, with the work of Klein and Lie. A nice example that ties together the algebraic and geometric sides of the subject is the symmetry groups of the Platonic solids. Isaak Moiseevich Yaglom has 21 books on Goodreads with 46 ratings. Isaak Moiseevich Yaglom’s most popular book is The USSR Olympiad Problem Book: Selecte.

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Yaglom's treatise is a history primarily of geometries, groups and algebras in the nineteenth century, spilling over into the early part of the twentieth century. The less advanced mathematics is clearly explained, while the more advanced material is described, examples are given, and the reader is provided references in the notes for further 5/5(1).

Geometries, Groups and Algebras in the Nineteenth Century - A History book. Read reviews from world’s largest community for readers. Yaglom has wri 5/5(4).

Find helpful customer reviews and review ratings for Geometries, Groups and Algebras in the Nineteenth Century - A History at Read honest 5/5. Yaglom has written a very accessible history of 19th century mathematics, with emphasis on interesting biographies of the leading protagonists and on the subjects most closely related to the work of Klein and Lie, whose own work is not discussed in detail until late in the Price: $ Geometries, Groups and Algebras in the Nineteenth Century - A History | Isaak M.

Yaglom | download | B–OK. Download books for free. Find books. Geometries, Groups and Algebras in the Nineteenth Century - A History by Yaglom, Isaak Moiseevich and a great selection of related books, art and collectibles available now at See reviews and reviewers from Algebras, Groups and Geometries Algebras, Groups and Geometries' journal/conference profile on Publons, with several reviews by several reviewers - working with reviewers, publishers, institutions, and funding agencies to turn peer review into a measurable research output.

Early 19th century. The earliest study of groups as such probably goes back to the work of Lagrange in the late 18th century. However, this work was somewhat isolated, and publications of Augustin Louis Cauchy and Galois are more commonly referred to as the beginning of group theory.

The theory did not develop in a vacuum, and so three important threads in its pre-history are developed here. Algebra - Algebra - Applications of group theory: Galois theory arose in direct connection with the study of polynomials, and thus the notion of a group developed from within the mainstream of classical algebra.

However, it also found important applications in other mathematical disciplines throughout the 19th century, particularly geometry and number theory. Geometry (from the Ancient Greek: γεωμετρία; geo-"earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a practical way for dealing with lengths. Geometries, Groups and Algebras in the Nineteenth Century - A History Groups and Algebras in the Nineteenth Century.

Read more. 7 people found this helpful. Helpful. Comment Report abuse. Gisela Ahlbrandt. out of 5 stars A great history of geometry and groups in the 19th s: 2.

Algebras, Groups, and Geometries. Instructions for submissions Download Hadronic Press Format. Copyright © Hadronic Press, Inc. All Rights Reserved.

Algebra (from Arabic: الجبر al-jabr, meaning "reunion of broken parts" and "bonesetting") is one of the broad parts of mathematics, together with number theory, geometry and its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

This book was subsequently reprinted under a different title: Geometries, Groups and Algebras in the Nineteenth Century. 7 people found this helpful. Helpful. 0 Comment Report abuse Geometries, Groups and Algebras in the Nineteenth Century - A History. by Isaak Moiseevich Yaglom.

$ Geometries, Groups and Algebras in the Nineteenth Century - A History Groups and Algebras in the Nineteenth Century. Read more. 7 people found this helpful. Helpful. Comment Report abuse. Gisela Ahlbrandt. out of 5 stars A great history of geometry and groups in the 19th s: 2. The third part examines single and double elliptic geometries.

This book will be of great value to mathematics, liberal arts, and philosophy major students. Non Euclidean Geometry. Roberto Bonola — in Mathematics. Author: Roberto Bonola File Size: MB Format: PDF, ePub, Mobi. (Dover Books on Mathematics) Non-Euclidean Geometry (Mathematical Association of America Textbooks) The elements of non-Euclidean geometry Geometries, Groups and Algebras in the Nineteenth Century - A History The Practical Tao Te Ching of Lao-zi: Rational Meditations on.

Abstract. Classical geometry has emerged from efforts to codify perception of space and motion. With roots in ancient times, the great flowering of classical geometry was in the 19th century, when Euclidean, non-Euclidean and projective geometries were given precise mathematical formulations and the rich properties of geometric objects were explored.

in Mathematics) Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups (London Mathematical Society Student Texts) Geometries, Groups and Algebras in the Nineteenth Century - A History Representations of Algebraic Groups (Mathematical Surveys and Monographs).

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects.

However, until the 19th century, algebra consisted essentially of the theory of example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use.

Another 19th Century Englishman, George Peacock, is usually credited with the invention of symbolic algebra, and the extension of the scope of algebra beyond the ordinary systems of numbers. This recognition of the possible existence of non-arithmetical algebras was an important stepping stone toward future developments in abstract algebra.In the second part of the 20th century, algebraic methods have emerged as a powerful tool to study theories of physical phenomena, especially those of quantal systems.

The framework of Lie algebras, initially introduced by - phus Lie in the last part of the 19th century, has been considerably expanded to include graded Lie algebras, in?nite-dimensional Lie algebras, and other algebraic.Geometries, groups and algebras in the nineteenth century: author explains that Lie algebras are algebraic structures employed when one studies Lie groups.

The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. established at the end of the 19th Century.