{"product_id":"geometry-with-trigonometry-hardback-9780128050668","title":"Geometry with Trigonometry (Hardback) 9780128050668","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGeometry with Trigonometry\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003e\u003cp\u003eAn account at once accessible and unobtrusively rigorous, intended to consolidate traditional synthetic geometry with progression into coordinates, trigonometry, position-vectors and complex numbers\u003c\/p\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePatrick D Barry (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780128050668, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 26 November 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e280 pages\u003cbr\u003e22.9 x 15.1 x 2.2 cm, 0.42 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\"The book is carefully written, and proceeds at a fairly high level of sophistication… Instructors who want to present a completely rigorous development of the subject and who are therefore willing to accept the pedagogical risks involved, will certainly want to look at this text.\" \u003cb\u003e--MAA Reviews\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003ci\u003e \u003c\/i\u003e\u003cp\u003eGeometry with Trigonometry \u003ci\u003eSecond Edition\u003c\/i\u003e 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. \u003c\/p\u003e \u003cp\u003eNew to this edition: \u003c\/p\u003e \u003cul\u003e  \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eThe second edition has been comprehensively revised over three years\u003c\/li\u003e \u003cli\u003eErrors have been corrected and some proofs marginally improved\u003c\/li\u003e \u003cli\u003eThe 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\u003c\/li\u003e\n\u003c\/ul\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e1. Preliminaries2. Basic shapes of geometry3. Distance; degree-measure of an angle4. Congruence of triangles; parallel lines5. The parallel axiom; Euclidean geometry6. Cartesian coordinates; applications7. Circles; their basic properties8. Translations; axial symmetries; isometries9. Trigonometry; cosine and sine; addition formulae10. Complex coordinates; sensed angles; angles between lines11. Vector and complex-number methods12. Trigonometric functions in calculus\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Woodhead Publishing","offers":[{"title":"Default Title","offer_id":46648875417880,"sku":"9780128050668","price":55.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780128050668.jpg?v=1694094726","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/geometry-with-trigonometry-hardback-9780128050668","provider":"Freshly Printed Books","version":"1.0","type":"link"}