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Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and best-known for the first formulation of the axiom of choice. However, his papers include also pioneering work in applied mathematics and mathematical physics. This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field which comments on the historical background, motivations, accomplishments, and influence.
Everyone knows that the universe is extremely old and extremely large. But how did scientists determine just how old and how large? How do astronomers know that there are upwards of 100 billion galaxies in the universe if the nearest one is over 40,000 light-years away? How do we know what the stars are made of? The answer is that our current knowledge of the universe has arisen from the work and ideas of scientists and philosophers over hundreds of years. While it's only been during the last several decades that scientists have had the technology and theories to really understand how the universe works, humans have thought about such issues for millennia. And the scientists who today are attempting to understand the most complex issues of the universe build upon the work and thought of the thinkers of the last hundreds of years. The Cosmos: A Historical Perspective provides an accessible introduction to the many ways humans have conceived of the universe throughout history and what ideas have led to our current understanding of the cosmos. The book examines: BLThe Scientific Revolution and the new ideas of the Earth's place in the cosmos BLThe importance of nineteenth-century physics and chemistry in determining the compositions of stars BLEinstein's Theory of Relativity and how it altered how scientists thought about gravity BLNew, cutting-edge science that may alter, yet again, our conceptions of the cosmos, such as the inflationary universe and the possibility of "dark energy." BLJargon and mathematics is kept to a minimum, and the volume includes an annotated bibliography and a timeline. The Cosmos is an ideal introduction for students studying space science and the history andnature of the scientific understanding of the universe.
Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and best-known for the first formulation of the axiom of choice. However, his papers include also pioneering work in applied mathematics and mathematical physics. This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field which comments on the historical background, motivations, accomplishments, and influence.
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