Author Description
This Text Provides A Fresh Modern Introduction To Geometry, An Ancient Branch Of Mathematics With Important Applications. It Takes Readers From Euclidean And Non-euclidean Geometries, To Curved Spaces, And The Geometry Of Space-time Inside A Black Hole, And Outlines The Role Geometry Plays In The Broader Context Of Science And Art.
Menrva's Summary
THE THESIS
This text investigates the foundational principles and modern applications of geometry, bridging the gap between classical mathematical theory and contemporary physical science. Maciej Dunajski, a mathematician with expertise in differential geometry and general relativity, utilizes a structured pedagogical approach to guide readers through the evolution of geometric thought. The book argues that geometry is not merely an abstract discipline but a fundamental framework for understanding the curvature of space-time and the physical laws governing the universe.
THE SCOPE MAP
What You Will Find
- Comprehensive overview of Euclidean and non-Euclidean geometric systems
- Mathematical exploration of curved spaces and manifolds
- Analysis of geometric applications in general relativity and black hole physics
- Discussion on the intersection of geometric principles with art and broader scientific inquiry
Scope Limits
- Does not provide an exhaustive history of ancient geometric proofs
- Excludes advanced computational geometry algorithms
- Assumes a baseline familiarity with undergraduate-level calculus and linear algebra
THE AUTHORITY PERSPECTIVE
Experts and educators frequently highlight this text as a clear, accessible entry point for students transitioning from classical geometry to differential geometry. Readers often note the balance between rigorous mathematical derivation and the conceptual application to modern physics.
Page Count:
0
Publication Date:
2022-01-01
ISBN-10:
0191506605
ISBN-13:
9780191506604
Science
Geometry
textbook
Mathematics
Physics