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Algebra and Geometry (Paperback)
Loot Price: R1,419
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Algebra and Geometry (Paperback)
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This is the second of three volumes that, together, give an
exposition of the mathematics of grades 9-12 that is simultaneously
mathematically correct and grade-level appropriate. The volumes are
consistent with CCSSM (Common Core State Standards for Mathematics)
and aim at presenting the mathematics of K-12 as a totally
transparent subject. The first part of this volume is devoted to
the study of standard algebra topics: quadratic functions, graphs
of equations of degree 2 in two variables, polynomials,
exponentials and logarithms, complex numbers and the fundamental
theorem of algebra, and the binomial theorem. Having translations
and the concept of similarity at our disposal enables us to clarify
the study of quadratic functions by concentrating on their graphs,
the same way the study of linear functions is greatly clarified by
knowing that their graphs are lines. We also introduce the concept
of formal algebra in the study of polynomials with complex
coefficients. The last three chapters in this volume complete the
systematic exposition of high school geometry that is consistent
with CCSSM. These chapters treat the geometry of the triangle and
the circle, ruler and compass constructions, and a general
discussion of axiomatic systems, including non-Euclidean geometry
and the celebrated work of Hilbert on the foundations. This book
should be useful for current and future teachers of K-12
mathematics, as well as for some high school students and for
education professionals.
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