Applications of Geometry in Real Life

Mathematics & Statistics - Applications of Geometry in Real Life - 20 slides

Explore Applications of Geometry in Real Life, covering This lecture on Understanding Geometry explores various aspects of geometry, including its definitions, historical.

Topics Covered

  • Introduction to Geometry
  • History of Geometry
  • Key Concepts in Geometry
  • Points, Lines, and Planes
  • Angles: Types and Properties
  • Volume and Surface Area of Solids
  • Transformations: Translation, Rotation, Reflection
  • Congruence and Similarity
  • Applications of Geometry in Art
  • Geometry in Nature: Patterns and Symmetry
  • Geometric Modeling in Architecture
  • Fractals and Their Geometric Properties
  • The Role of Geometry in Robotics
  • Triangles: Classification and Properties
  • The Pythagorean Theorem
  • Quadrilaterals: Types and Properties
  • Circles: Definitions and Properties
  • Case Study: Geometry in Engineering
  • Introduction to Trigonometry
  • Trigonometric Ratios and Functions

References

  • Euclid (circa 300 BCE) Elements. Ancient Greece.
  • Katz, V.J. (2009) A History of Mathematics. 3rd edn. Boston: Pearson.
  • Euclid (circa 300 BC) Elements. Greece.
  • Edwards, C.H. (2003) Advanced Geometry. Oxford University Press.
  • OpenStax, Geometry (2023). Volume and Surface Area Overview
  • Khan Academy, Geometric Transformations (2023). Translation Principles
  • Livio, M. (2002) The Golden Ratio: The Story of Phi. Broadway Books.
  • Schattschneider, D. (1990) M.C. Escher: Visions of Symmetry. Abrams Books.
  • Stevens, P.S. (1974) Patterns in Nature. New York: Little Brown.
  • Alexander, C. (1977) A Pattern Language. Oxford University Press.
  • Barnsley, M. (1988) Fractals Everywhere. Boston: Academic Press.
  • Craig, J.J. (2005) Introduction to Robotics: Mechanics and Control. 3rd edn. Boston: Pearson.
  • OpenStax Geometry textbook. Available at: https://openstax.org/subjects/math
  • Khan Academy - Geometry and Pythagorean Theorem. Available at: https://khanacademy.org/math
  • OpenStax Geometry textbook.
  • Khan Academy - Geometry.
  • Logan, D. (2021) A First Course in the Finite Element Method. 5th edn. Stamford: Cengage Learning.
  • Stewart, J. (2020) Calculus: Early Transcendentals. 9th edn. Boston: Cengage Learning.
  • Edwards, C.H. and Penney, D.E. (2020) Advanced Calculus. 7th edn. Boston: Pearson.
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