Download or read book Topics in Geometric Group Theory written by Pierre de la Harpe and published by University of Chicago Press. This book was released on 2000-10-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.

Download or read book Cheap and Tasteful Dwellings written by Jan Jennings and published by Univ. of Tennessee Press. This book was released on 2005 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1879, Carpentry and Building magazine launched its first house design competitionfor a cheap house. Forty-two competitions, eighty-six winning designs, and a slew ofnear winners and losers resulted in a body of work that offers an entire history of anarchitectural culture. The competitions represented a vital period of transition in delineating roles and responsibilities of architectural services and building trades. The contests helped to define the training, education, and values of "practical architects" and to solidify house-planning ideals. The lives and work of ordinary architects who competed in Carpentry and Building contests offer a reinterpretation of architectural professionalization in this time period.Cheap and Tasteful Dwellings thoroughly explores the results of these competitions, conducted over a thirty-year period from 1879 to 1909. The book outlines the philosophybehind and procedures developed for running the competitions; looks at characteristicsof the eighty-six winners of the competitions; examines the nature of architecturalpractices during the period; analyzes the winning competition designs; and providesbiographical details of competition winners and losers.A landmark book in architectural history, Cheap and Tasteful Dwellings makes a compelling case for the theory of convenient arrangement--its history, its role, its principles, its relationship to contemporary interior design education, and its meaning to American architecture. More importantly, the book explains the impact of Carpentry and Building's contests in furthering the tenets of convenient arrangement for house design. By using extensive material from the magazine, Jennings leaves little doubt as to how important this overlooked story is to the history of American architecture as a whole.

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