ماتریس‌ها (ریاضیات برای معلمان)

Matrices are used in many areas of mathematics, and have applications in diverse areas such as engineering, computer graphics, image processing, physical sciences, biological sciences and social sciences. Powerful calculators and computers can now carry out complicated and difficult numeric and algebraic computations involving matrix methods, and such technology is a vital tool in related real-life, problem- solving applications. This book provides mathematics teachers with an elementary introduction to matrix algebra and its uses in formulating and solving practical problems, solving systems of linear equations, representing combinations of affine (including linear) transformations of the plane and modelling finite state Markov chains. The basic theory in each of these areas is explained and illustrated using a broad range of examples. A feature of the book is the complementary use of technology, particularly computer algebra systems, to do the calculations involving matrices required for the applications. A selection of student activities with solutions and text and web references are included throughout the book. [Publisher] Contents......Page 4 Introduction......Page 6 About the author......Page 7 1 An introduction to matrices......Page 8 2 Rectangular arrays, matrices and operations......Page 18 3 Solving systems of simultaneous linear equations......Page 44 4 Transformations of the cartesian plane......Page 82 5 Transition matrices......Page 118 6 Curriculum connections......Page 143 7 Solution notes to student activities......Page 148 References and further reading......Page 170 Series overview MathsWorks for Teachers has been developed to provide a coherent and contemporary framework for conceptualising and implementing aspects of middle and senior mathematics curricula.