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Author: University of Oxford
Publisher:
ISBN:
Category : English essays
Languages : en
Pages : 394
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Author: University of Oxford
Publisher:
ISBN:
Category : English essays
Languages : en
Pages : 394
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 446
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Author: Edward Harrison Askwith
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 470
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Author: Barry Spain
Publisher: Courier Corporation
ISBN: 0486457737
Category : Mathematics
Languages : en
Pages : 164
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Book Description
This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.
Author: Hanspeter Schaub
Publisher: AIAA
ISBN: 9781600860270
Category : Celestial mechanics
Languages : en
Pages : 744
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Author: John Hunter
Publisher:
ISBN:
Category :
Languages : en
Pages : 126
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Author: Henry Sotheran Ltd
Publisher:
ISBN:
Category : Booksellers' catalogs
Languages : en
Pages : 594
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Author: Arseny V. Akopyan
Publisher: American Mathematical Soc.
ISBN: 9780821884324
Category : Mathematics
Languages : en
Pages : 148
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Book Description
"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.
Author: Hans Niels Jahnke
Publisher: American Mathematical Soc.
ISBN: 9780821890509
Category : Mathematics
Languages : en
Pages : 436
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Book Description
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1276
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Book Description
