Geometry with trigonometry
(eBook)
Author:
Published:
Cambridge, England : Woodhead Publishing, 2016.
Format:
eBook
Edition:
Second edition.
ISBN:
9780128050675
Physical Desc:
1 online resource (282 pages)
Status:
Ebrary (CCU)
Description
Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three yearsErrors have been corrected and some proofs marginally improvedThe substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given.
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Citations
APA Citation (style guide)
Barry, P. D. (2016). Geometry with trigonometry. Second edition. Cambridge, England, Woodhead Publishing.
Chicago / Turabian - Author Date Citation (style guide)Barry, Patrick D.. 2016. Geometry With Trigonometry. Cambridge, England, Woodhead Publishing.
Chicago / Turabian - Humanities Citation (style guide)Barry, Patrick D., Geometry With Trigonometry. Cambridge, England, Woodhead Publishing, 2016.
MLA Citation (style guide)Barry, Patrick D.. Geometry With Trigonometry. Second edition. Cambridge, England, Woodhead Publishing, 2016.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
Notes
Bibliography
Includes bibliographical references and index.
Local note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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Grouped Work ID:
a1d58b71-adbc-82d7-2c0a-c85a2426e4b4
Record Information
Last File Modification Time | Jan 04, 2024 04:57:43 PM |
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Last Grouped Work Modification Time | Apr 14, 2024 07:17:23 PM |
MARC Record
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100 | 1 | |a Barry, Patrick D.,|e author. | |
245 | 1 | 0 | |a Geometry with trigonometry /|c Patrick D. Barry. |
250 | |a Second edition. | ||
264 | 1 | |a Cambridge, England :|b Woodhead Publishing,|c 2016. | |
264 | 4 | |c 2016 | |
300 | |a 1 online resource (282 pages) | ||
336 | |a text|2 rdacontent | ||
337 | |a computer|2 rdamedia | ||
338 | |a online resource|2 rdacarrier | ||
504 | |a Includes bibliographical references and index. | ||
588 | |a Description based on online resource; title from PDF title page (ebrary, viewed January 15, 2016). | ||
590 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
650 | 0 | |a Geometry|x Study and teaching. | |
650 | 0 | |a Trigonometry|v Problems, exercises, etc. | |
655 | 4 | |a Electronic books. | |
776 | 0 | 8 | |i Print version:|a Barry, Patrick D.|t Geometry with trigonometry.|b Second edition.|d Cambridge, England : Woodhead Publishing, c2016 |h xx, 260 pages |z 9780128050668 |
797 | 2 | |a ProQuest (Firm) | |
856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/cochristuniv-ebooks/detail.action?docID=4202886|z Click to View |