COMP FORMAL EUCLIDEAN GEOM (V1)

Ovidiu Calin

ISBN 10: 981980616X / ISBN 13: 9789819806164

Verlag: World Scientific, 2025

Beschreibung

nach der Bestellung gedruckt Neuware - Printed after ordering - This book explores three computational formalisms for solving geometric problems. Part I introduces a trigonometric-based formalism, enabling calculations of distances, angles, and areas using basic trigonometry. Part II focuses on complex numbers, representing points in the plane to manipulate geometric properties like collinearity and concurrency, making it particularly useful for planar problems and rotations. Part III covers vector formalism, applying linear algebra to both plane and solid geometry. Vectors are effective for solving problems related to perpendicularity, collinearity, and the calculation of distances, areas, and volumes.Each formalism has its strengths and limitations, with complex numbers excelling in the plane and vectors being more versatile in three-dimensional space. This book equips readers to choose the best approach for various geometric challenges.This book, designed for math majors, especially future educators, is also valuable for gifted high school students and educators seeking diverse proofs and teaching inspiration.

Bestandsnummer des Verkäufers 9789819806164

Bibliografische Details

• Titel: COMP FORMAL EUCLIDEAN GEOM (V1)
• Verlag: World Scientific
• Erscheinungsjahr: 2025
• Sprache: Englisch
• ISBN-10: 981980616X
• ISBN-13: 9789819806164
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

This book explores three computational formalisms for solving geometric problems. Part I introduces a trigonometric-based formalism, enabling calculations of distances, angles, and areas using basic trigonometry. Part II focuses on complex numbers, representing points in the plane to manipulate geometric properties like collinearity and concurrency, making it particularly useful for planar problems and rotations. Part III covers vector formalism, applying linear algebra to both plane and solid geometry. Vectors are effective for solving problems related to perpendicularity, collinearity, and the calculation of distances, areas, and volumes.Each formalism has its strengths and limitations, with complex numbers excelling in the plane and vectors being more versatile in three-dimensional space. This book equips readers to choose the best approach for various geometric challenges. This book, designed for math majors, especially future educators, is also valuable for gifted high school students and educators seeking diverse proofs and teaching inspiration.