Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition)
Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition)
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Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition)
Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition)
Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition)
Elementas #: 89543393

Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition)

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Elementas #: 89543393

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Shop Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition) online at a best price in Lithuania. 1067814213
  • Geometry is one of the four pillars of mathematical contests and olympiads. Volume 4: Geometry, Second Edition builds the subject from the ground up. It takes a computational approach to the subject, by utilizing trigonometry, complex numbers, and vectors. There are initial chapters on lines, angles, and congruence and similarity transformations. There is a chapter on circles, which includes proofs of the inscribed angle theorem and power of a point theorem using complex numbers. A special chapter delves into cevians and triangle centres. Geometric objects, such as triangles, convex and concave polygons, and polyhedra are studied and classified. The final chapter includes a detailed study of conic sections via bivariate quadratics, including a complete proof of the classification of directrix-eccentricity-focal parameter triples for ellipses, parabolas, and hyperbolas. The three recurring themes are: writing the same object in multiple ways, breaking up equality using antisymmetry, and using equivalence relations. There are dozens of substantive problems included for the reader’s practice, with complete solutions provided. This second edition includes additional theorems and problems, refreshed diagrams, and corrections. It is suggested that the book be read by students and teachers who have prior experience with mathematical proofs and problem-solving.
Item Weight1.5 lbs (680 grams)

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Volume 4: Geometry (Rigorous Elementary Mathematics, Second Edition)

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