Written by the recipient of the 1997 MAA Chauvenet Prize for mathematical exposition, this book tells how the theory of Lie groups emerged from a fascinating cross fertilization of many strains of 19th and early 20th century geometry, analysis, mathematical physics, algebra and topology. The reader will meet a host of mathematicians from the period and become acquainted with the major mathematical schools. The first part describes the geometrical and analytical considerations that initiated the theory at the hands of the Norwegian mathematician, Sophus Lie. The main figure in the second part is Weierstrass' student Wilhelm Killing, whose interest in the foundations of non-Euclidean geometry led to his discovery of almost all the central concepts and theorems on the structure and classification of semisimple Lie algebras. The scene then shifts to the Paris mathematical community and Elie Cartan's work on the representation of Lie algebras. The final part describes the influential, unifying contributions of Hermann Weyl and their context: Hilbert's Göttingen, general relativity and the Frobenius-Schur theory of characters. The book is written with the conviction that mathematical understanding is deepened by familiarity with underlying motivations and the less formal, more intuitive manner of original conception. The human side of the story is evoked through extensive use of correspondence between mathematicians. The book should prove enlightening to a broad range of readers, including prospective students of Lie theory, mathematicians, physicists and historians and philosophers of science.

Land Use Law in Florida presents an in-depth analysis of land use law common to many states across the United States, using Florida cases and statutes as examples. Florida case law is an important course of study for planners, as the state has its own legal framework that governs how people may use land, with regulation that has evolved to include state-directed urban and regional planning. The book addresses issues in a case format, including planning, land development regulation, property rights, real estate development and land use, transportation, and environmental regulation. Each chapter summarizes the rules that a reader should draw from the cases, making it useful as a reference for practicing professionals and as a teaching tool for planning students who do not have experience in reading law. This text is invaluable for attorneys; professional planners; environmental, property rights, and neighborhood activists; and local government employees who need to understand the rules that govern how property owners may use land in Florida and around the country.

Land Use Law in Florida presents an in-depth analysis of land use law common to many states across the United States, using Florida cases and statutes as examples. Florida case law is an important course of study for planners, as the state has its own legal framework that governs how people may use land, with regulation that has evolved to include state-directed urban and regional planning. The book addresses issues in a case format, including planning, land development regulation, property rights, real estate development and land use, transportation, and environmental regulation. Each chapter summarizes the rules that a reader should draw from the cases, making it useful as a reference for practicing professionals and as a teaching tool for planning students who do not have experience in reading law. This text is invaluable for attorneys; professional planners; environmental, property rights, and neighborhood activists; and local government employees who need to understand the rules that govern how property owners may use land in Florida and around the country.

Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.

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.

Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone

Title: My Life and Works, etc.Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The FICTION & PROSE LITERATURE collection includes books from the British Library digitised by Microsoft. The collection provides readers with a perspective of the world from some of the 18th and 19th century's most talented writers. Written for a range of audiences, these works are a treasure for any curious reader looking to see the world through the eyes of ages past. Beyond the main body of works the collection also includes song-books, comedy, and works of satire. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Hawkins, Thomas; 1887, etc. 8 . 12272.i.6.

Title: Prometheus. A poem.]Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The POETRY & DRAMA collection includes books from the British Library digitised by Microsoft. The books reflect the complex and changing role of literature in society, ranging from Bardic poetry to Victorian verse. Containing many classic works from important dramatists and poets, this collection has something for every lover of the stage and verse. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Hawkins, Thomas; 1850. 8 . 11779.l.5.

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!