Geometry with trigonometry
Author:
Publisher:
Woodhead Publishing
Pub. Date:
2016
Edition:
Second edition
Language:
English
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.
More Copies In Prospector
Loading Prospector Copies...
More Details
Contributors:
ISBN:
9780128050675
9780857099686
9780857099686
Staff View
Grouping Information
Grouped Work ID | a1d58b71-adbc-82d7-2c0a-c85a2426e4b4 |
---|---|
Grouping Title | geometry with trigonometry |
Grouping Author | patrick d barry |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-14 19:17:23PM |
Last Indexed | 2024-05-02 23:59:56PM |
Solr Fields
accelerated_reader_point_value
0
accelerated_reader_reading_level
0
author
Barry, Patrick D.
author2-role
ScienceDirect (Online service)
author_display
Barry, Patrick D.
display_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.
format_category_ccu
eBook
format_ccu
eBook
id
a1d58b71-adbc-82d7-2c0a-c85a2426e4b4
isbn
9780128050675
9780857099686
9780857099686
last_indexed
2024-05-03T05:59:56.503Z
lexile_score
-1
literary_form
Non Fiction
literary_form_full
Non Fiction
primary_isbn
9780128050675
publishDate
2001
2015
2016
2015
2016
publisher
Elsevier Science & Technology
Horwood Pub
Woodhead Publishing
Woodhead Publishing is an imprint of Elsevier
Horwood Pub
Woodhead Publishing
Woodhead Publishing is an imprint of Elsevier
recordtype
grouped_work
subject_facet
Electronic books
Geometry
Geometry -- Study and teaching
Geometry--Study and teaching
MATHEMATICS -- Geometry -- General
MATHEMATICS / Geometry / General
Trigonometry
Trigonometry -- Problems, exercises, etc
Geometry
Geometry -- Study and teaching
Geometry--Study and teaching
MATHEMATICS -- Geometry -- General
MATHEMATICS / Geometry / General
Trigonometry
Trigonometry -- Problems, exercises, etc
title_display
Geometry with trigonometry
title_full
Geometry with Trigonometry Barry, Patrick D.
Geometry with trigonometry / Patrick D. Barry
Geometry with trigonometry / by Patrick D. Barry
Geometry with trigonometry / Patrick D. Barry
Geometry with trigonometry / by Patrick D. Barry
title_short
Geometry with trigonometry
topic_facet
General
Geometry
Geometry--Study and teaching
MATHEMATICS
MATHEMATICS / Geometry / General
Study and teaching
Trigonometry
Geometry
Geometry--Study and teaching
MATHEMATICS
MATHEMATICS / Geometry / General
Study and teaching
Trigonometry
Solr Details Tables
item_details
Bib Id | Item Id | Shelf Loc | Call Num | Format | Format Category | Num Copies | Is Order Item | Is eContent | eContent Source | eContent URL | Detailed Status | Last Checkin | Location |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
elsevierwestern:ocn933559723 | ocn933559723 | Elsevier (Western) | Online Elsevier (Western) | eBook | eBook | 1 | false | true | Elsevier (Western) | https://ezproxy.western.edu/login?url=https://www.sciencedirect.com/science/book/9780128050668 | Available Online | Elsevier (Western) | |
proquestebookwestern:EBC4202886 | EBC4202886 | ProQuest Ebook Central (Western) | Online ProQuest Ebook Central (Western) | eBook | eBook | 1 | false | true | ProQuest Ebook Central (Western) | https://ebookcentral.proquest.com/lib/wscc-ebooks/detail.action?docID=4202886 | Available Online | ProQuest Ebook Central (Western) | |
elsevierwestern:ocn869282262 | ocn869282262 | Elsevier (Western) | Online Elsevier (Western) | eBook | eBook | 1 | false | true | Elsevier (Western) | https://ezproxy.western.edu/login?url=https://www.sciencedirect.com/science/book/9781898563693 | Available Online | Elsevier (Western) | |
external_econtent:ils:.b63858514 | .i136802096 | CMU Electronic Access | eBook | eBook | 1 | false | true | Elsevier | http://ezproxy.coloradomesa.edu/login?url=https://www.sciencedirect.com/science/book/9781898563693 | Available Online | cueme | ||
external_econtent:ils:.b50274028 | .i119668555 | CMU Electronic Access | eBook | eBook | 1 | false | true | Elsevier | http://ezproxy.coloradomesa.edu/login?url=https://www.sciencedirect.com/science/book/9780128050668 | Available Online | cueme | ||
ebraryccu:EBC4202886 | EBC4202886 | Ebrary (CCU) | Online Ebrary (CCU) | eBook | eBook | 1 | false | true | Ebrary (CCU) | https://ebookcentral.proquest.com/lib/cochristuniv-ebooks/detail.action?docID=4202886 | Available Online | Ebrary (CCU) |
record_details
Bib Id | Format | Format Category | Edition | Language | Publisher | Publication Date | Physical Description | Abridged |
---|---|---|---|---|---|---|---|---|
elsevierwestern:ocn933559723 | eBook | eBook | 2nd edition | English | Woodhead Publishing is an imprint of Elsevier | [2016] | 1 online resource : illustrations | |
proquestebookwestern:EBC4202886 | eBook | eBook | 2nd ed | English | Elsevier Science & Technology | 2015 | 1 online resource (282 pages) | |
elsevierwestern:ocn869282262 | eBook | eBook | English | Horwood Pub | 2001 | 1 online resource (xv, 235 pages) : illustrations | ||
external_econtent:ils:.b63858514 | eBook | eBook | English | Horwood Pub | 2001 | 1 online resource (xv, 235 pages) : illustrations | ||
external_econtent:ils:.b50274028 | eBook | eBook | 2nd edition | English | Woodhead Publishing is an imprint of Elsevier | [2016] | 1 online resource : illustrations | |
ebraryccu:EBC4202886 | eBook | eBook | Second edition | English | Woodhead Publishing | 2016 | 1 online resource (282 pages) |
scoping_details_ccu
Bib Id | Item Id | Grouped Status | Status | Locally Owned | Available | Holdable | Bookable | In Library Use Only | Library Owned | Holdable PTypes | Bookable PTypes | Local Url |
---|---|---|---|---|---|---|---|---|---|---|---|---|
ebraryccu:EBC4202886 | EBC4202886 | Available Online | Available Online | false | true | false | false | false | false |