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His research in dynamics constitutes the middle period of Birkhoff's scientific career, that of maturity and greatest power. --Yearbook of the American Philosophical Society The author's great book ... is well known to all, and the diverse active modern developments in mathematics which have been inspired by this volume bear the most eloquent testimony to its quality and influence. --Zentralblatt MATH In 1927, G. D. Birkhoff wrote a remarkable treatise on the theory of dynamical systems that would inspire many later mathematicians to do great work. To a large extent, Birkhoff was writing about his own work on the subject, which was itself strongly influenced by Poincare's approach to dynamical systems. With this book, Birkhoff also demonstrated that the subject was a beautiful theory, much more than a compendium of individual results. The influence of this work can be found in many fields, including differential equations, mathematical physics, and even what is now known as Morse theory. The present volume is the revised 1966 reprinting of the book, including a new addendum, some footnotes, references added by Jurgen Moser, and a special preface by Marston Morse. Although dynamical systems has thrived in the decades since Birkhoff's book was published, this treatise continues to offer insight and inspiration for still more generations of mathematicians. ... Read more

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1933. An attempt to bring the basic formal side of art within the purview of simple mathematical formula defining aesthetic measure.Contents: the basic formula; polygonal forms; ornaments and tilings; vases; diatonic chords; diatonic harmony; melody; musical quality in poetry; earlier aesthetic theories; art and aesthetics. Over 20 plates and illustrations. ... Read more

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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! ... Read more

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A highly recommended high-school text by two eminent scholars ... Read more

Customer Reviews (1)

Very Helpful
I'm currently working through it, and am finding it really good. The approach is to present geometry as an ideal axiomatic system and show how all statements flow logically from others. Although all books on geometry are supposed to do this, it's not always presented as clearly as it should be.

I feel I'm getting what I need from this book. The other book I tried was the Jurgenson text, which is a standard high school textbook, but I found it to be somewhat childish and unfocused. This book is written in a more mature and serious style, and gets right down to it. Although I'm not that far into it yet, so far it seems very good for someone interested in introducing themselves to the logically systematic groundwork of mathematics, geometry, or, as in my case, both. ... Read more

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This digital document, covering the life and work of George David Birkhoff, is an entry from Contemporary Authors, a reference volume published by Thompson Gale. The length of the entry is 1420 words. The page length listed above is based on a typical 300-word page. Although the exact content of each entry from this volume can vary, typical entries include the following information:

• Place and date of birth and death (if deceased)
• Family members
• Education
• Professional associations and honors
• Employment
• Writings, including books and periodicals
• A description of the author's work
• References to further readings about the author

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 487 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more