3D Geometry and Surface Area

Mathematics & Statistics - 3D Geometry and Surface Area - 20 slides

Explore 3D Geometry and Surface Area, covering This lecture provides a comprehensive overview of geometry, covering its definition, historical significance, basic.

Topics Covered

  • Introduction to Geometry
  • History of Geometry
  • Basic Geometric Shapes
  • Points, Lines, and Planes
  • Volume and Surface Area of Solids
  • The Pythagorean Theorem
  • Congruence in Geometry
  • Geometric Proofs: Introduction
  • Types of Geometric Proofs
  • The Role of Axioms and Postulates
  • Surface Area and Volume of Cylinders
  • Surface Area and Volume of Cones
  • Angles: Types and Properties
  • Triangles: Classification and Properties
  • Slope and Equation of a Line
  • Euclidean vs Non-Euclidean Geometry
  • Introduction to Trigonometry
  • Key Researchers in Geometry
  • Future Trends in Geometry
  • Summary and Conclusion

References

  • OpenStax Mathematics (2023). Foundations of Geometry.
  • Katz, V.J. (2018). A History of Mathematics. 4th edn. Boston: Pearson.
  • OpenStax Mathematics (2023). Basic Geometry.
  • OpenStax Mathematics (2023). Points and Planes.
  • Larson, R. and Boswell, L. (2017) Geometry. Boston: McGraw-Hill Education.
  • Knorr, W.R. (1986) The Evolution of Pythagorean Theory. Oxford: Clarendon Press.
  • Euclid (300 BCE) Elements.
  • Darling, D. (2011). The Universal Book of Mathematics. John Wiley & Sons.
  • McMullen, G. (2019). Geometry Handbook. Oxford University Press.
  • OpenStax College (2016). Precalculus. Accessed at OpenStax.org
  • CK-12 Foundation (2015). Geometry Concepts.
  • CK-12 Geometry (2016). Geometry Concepts Book.
  • Khan Academy (2020). Surface Area and Volume of a Cone.
  • OpenStax (2022), Geometry Definition Resource
  • CK-12 Foundation (2020), Triangle Properties and Classifications
  • Stewart, J. (2020) Calculus: Early Transcendentals. 9th edn. Boston: Cengage Learning.
  • Euclid (300 BCE) The Elements. Alexandria: Royal Library preserved manuscripts.
  • Greenberg, M.J. (2010) Euclidean and Non-Euclidean Geometries. 4th edn. New York: W.H. Freeman.
  • Burton, D.M. (2010) The History of Mathematics: An Introduction. 7th edn. Boston: McGraw-Hill.
  • Greenberg, M.J. (2013) Euclidean and Non-Euclidean Geometries. 4th edn. San Francisco: W. H. Freeman.
  • Misra, J. and Agarwal, A. (2021) 'Quantum Geometry Applications in Computing', ACM Computing Surveys.
  • Chazelle, B. (2013) Fifty Years of Computational Geometry. Cambridge: Springer-Verlag.
  • Greenberg, M. (2023) A History of Mathematical Evolution. New York: Academic Press.
  • Mac Lane, S. and Moerdijk, I. (2012) Modern Geometry and Applications. Oxford: Oxford University Press.
Browse all lectures