• Matrices and Trigonometry

Matrices and Trigonometry Isiah Mcneil

  • ISBN: 9781788820660
  • Edition: 1st
  • ©Year: 2020

  • List Price : 160

About the Book

Matrices and Determinants were discovered and developed in the eighteenth and nineteenth centuries. Initially, their development dealt with transformation of geometric objects and solution of systems of linear equations. Historically, the early emphasis was on the determinant, not the matrix. In modern treatments of linear algebra, matrices are considered first. We will not speculate much on this issue.The trigonometric functions (especially sine and cosine) for real or complex square matrices occur in solutions of second-order systems of differential equations. Trigonometry is a branch of mathematics that studies triangles, particularly right triangles. It deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships, as well as describing angles in general and the motion of waves such as sound and light waves. Trigonometric concepts are used to minimize the amount of measuring. These concepts depend on the concepts of enlargement and similarity. Equiangular triangles have the same shape, but only in the special case of congruency they do have the same size. Any set of similar triangles has the invariant property of proportionality; that is, ratios of pairs of corresponding sides are in the same proportion. In the language of transformation geometry, for similar triangles, one triangle is an enlargement of another, or any triangle can be transformed into another by applying the same scale factor to each part of the triangle. In the case of a fractional scale factor the enlargement is, infact, a reduction. It is hoped that the bookwould be highly useful forthe students and teachers of mathematics. Students aspiring to successfully accomplish engineering and also those preparing forvarious competitive examinations are likely to find this bookof much help.

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Contents: 1. Elementary Matrices, 2. Inverse of Matrix and Transformation, 3. Matrix Operation, 4. Differential Equations, 5. Determinant of a Square Matrix, 6. Trigonometry, 7. Plane and SphericalTrigonometry,8.HyperbolicTrigonometry.
Isiah McNeil was Professor of Mathematics. He received his Ph.D. in mathematics with a specialty in Matrices and Trigonometry, and Logic Design. He has published titles in College Algebra, Pre-calculus, College Algebra and Trigonometry, Trigonometry, Intermediate Algebra, Linear Algebra and Matrix Theory. After working on Radar Development with the Marconi Company for a number of years, he was appointed Senior Lecturer at the University of Science and Technology. Isiah Mcneil has to his credit about 43 research articles published in national and international journals of repute and conference proceedings. Previously, he was Joint Director, Directorate of Technical Education, Government of Monaco, and Controller of Examinations

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