Geometry with Trigonometry

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 years Errors have been corrected and some proofs marginally improved The 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 Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere

Produk Detail:

  • Author : Patrick D Barry
  • Publisher : Woodhead Publishing
  • Pages : 280 pages
  • ISBN : 0128050675
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKGeometry with Trigonometry

Geometry with Trigonometry

Geometry with Trigonometry
  • Author : Patrick D Barry
  • Publisher : Woodhead Publishing
  • Release : 24 December 2015
GET THIS BOOKGeometry with Trigonometry

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

Geometry and Trigonometry

Geometry and Trigonometry
  • Author : Britannica Educational Publishing
  • Publisher : Britannica Educational Publishing
  • Release : 01 January 2015
GET THIS BOOKGeometry and Trigonometry

This stimulating volume offers a broad collection of the principles of geometry and trigonometry and contains colorful diagrams to bring mathematical principles to life. Subjects are enriched by references to famous mathematicians and their ideas, and the stories are presented in a very comprehensible way. Readers investigate the relationships of points, lines, surfaces, and solids. They study construction methods for drawing figures, a wealth of facts about these figures, and above all, methods to prove the facts. They learn about

Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry

Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry
  • Author : George F. Simmons
  • Publisher : Wipf and Stock Publishers
  • Release : 14 January 2003
GET THIS BOOKPrecalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry

ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and

Foundations of Mathematics

Foundations of Mathematics
  • Author : Philip Brown
  • Publisher : Stylus Publishing, LLC
  • Release : 14 March 2016
GET THIS BOOKFoundations of Mathematics

Foundations of Mathematics offers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics. The book presents definitions and examples throughout for clear, easy learning. Numerous exercises are included at the ends of the chapters, and readers are encouraged to complete all of them as an essential part of working through the book. It

Trigonometry For Dummies

Trigonometry For Dummies
  • Author : Mary Jane Sterling
  • Publisher : John Wiley & Sons
  • Release : 06 February 2014
GET THIS BOOKTrigonometry For Dummies

A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology. From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of

Divine Proportions

Divine Proportions
  • Author : Norman John Wildberger
  • Publisher : Unknown Publisher
  • Release : 28 October 2021
GET THIS BOOKDivine Proportions

"... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.