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Author: British Museum. Department of Printed Books
Publisher:
ISBN:
Category : English imprints
Languages : en
Pages : 1014
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Author: British Museum. Department of Printed Books
Publisher:
ISBN:
Category : English imprints
Languages : en
Pages : 1014
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Book Description
Author: Edward Grant
Publisher: Cambridge University Press
ISBN: 0521869315
Category : History
Languages : en
Pages : 376
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Book Description
This book describes how natural philosophy and exact mathematical sciences joined together to make the Scientific Revolution possible.
Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434
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Book Description
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Author: John ROWNING
Publisher:
ISBN:
Category :
Languages : en
Pages : 476
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Book Description
Author: John Langshaw Austin
Publisher: Oxford University Press
ISBN: 019824553X
Category : Language and languages
Languages : en
Pages : 181
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Book Description
This work sets out Austin's conclusions in the field to which he directed his main efforts for at least the last ten years of his life. Starting from an exhaustive examination of his already well-known distinction between performative utterances and statements, Austin here finally abandons that distinction, replacing it with a more general theory of 'illocutionary forces' of utterances which has important bearings on a wide variety of philosophicalproblems.
Author: Thomas Young
Publisher: London : Taylor and Walton
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 232
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Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 280
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Book Description
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Author: George Berkeley
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 634
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Author: William Jerdan
Publisher:
ISBN:
Category :
Languages : en
Pages : 958
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 470
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Book Description
