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Beijing Walks

Beijing Walks

Don J. Cohn

Odyssey Publications,hong Kong
2007
pokkari
Presents six detailed walking tours of the most important historic quarters of the Chinese capital - the Forbidden City, the former Legation Quarter, Beihai Park, the Temple of Heaven, the Confucius Temple, the Summer Palace, Tiananmen Square, and the Olympic Village. This work features traditional maps, drawings, and photographs.
Skew Fields

Skew Fields

P. M. Cohn

Cambridge University Press
2008
pokkari
Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable.
Lie Group

Lie Group

P. M. Cohn

Cambridge University Press
2009
pokkari
The theory of Lie groups rests on three pillars: analysis, topology and algebra. Correspondingly it is possible to distinguish several phases, overlapping in some degree, in its development. It also allows one to regard the subject from different points of view, and it is the algebraic standpoint which has been chosen in this tract as the most suitable one for a first introduction to the subject. The aim has been to develop the beginnings of the theory of Lie groups, especially the fundamental theorems of Lie relating the group to its infinitesimal generators (the Lie algebra); this account occupies the first five chapters. Next to Lie's theorems in importance come the basic properties of subgroups and homomorphisms, and they form the content of Chapter VI. The final chapter, on the universal covering group, could perhaps be most easily dispensed with, but, it is hoped, justifies its existence by bringing back into circulation Schreier's elegant method of constructing covering groups.
Skew Fields

Skew Fields

P. M. Cohn

Cambridge University Press
1995
sidottu
Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author’s LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author’s general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatisable. The treatment of equations over skew fields has been simplified and extended by the use of matrix methods, and the beginnings of non-commutative algebraic geometry are also presented, with a precise account of the problems that need to be overcome for a satisfactory theory. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader’s understanding, presenting further aspects and open problems in a concise form. The notes and comments at the end of chapters provide historical background.
Lie Groups

Lie Groups

P. M. (Paul Moritz) Cohn

Hassell Street Press
2021
sidottu
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Das Klingelloch: Short Stories

Das Klingelloch: Short Stories

J. F. Cohn

Createspace Independent Publishing Platform
2014
nidottu
Kurzgeschichten von heiter bis grausam. Durch die Idylle kleinburgerlicher Ordnungswut, die es vortrefflich versteht, sich selbst ad absurdum zu fuhren, zieht das Narrenschiff seine Bahnen, navigiert von J.F. Cohn. Er nimmt sie mit an Bord, und bereits nach der ersten Lesemeile tun sie gut daran, jeglichen Sinn fur Logik und gesunden Menschenverstand uber die Reling zu werfen und dem Ozean des Irrsinns anzuvertrauen. - Denn Sie schippern Volle Kraft Voraus in Das Klingelloch (Ronald Schaller)