A Comprehensive Introduction to Differential Geometry, Volume Two, Third Edition" by Michael Spivak, published by Publish or Perish, Inc. in Houston, Texas, 2025, covers advanced topics in differential geometry. The book follows a semi-historical path, focusing on classical differential geometry in Chapters 3 and 4. Although it lacks problem sets, it compensates with a comprehensive bibliography in the final volume. The book delves into intricate details of differential geometry,...
Michael David Spivak, born on May 25, 1940, is an American mathematician with a profound impact on the field of differential geometry. As an expositor of mathematics, he has skillfully bridged the gap between complex theory and accessible explanations. Spivak’s legacy extends beyond academia—he is also the visionary behind Publish-or-Perish Press. 📚 Author of the Five-Volume Masterpiece: Spivak’s magnum opus, “A Comprehensive Introduction to Differential Geometry,” stands...
The volume begins the study of modern differential geometry, following a semi-historical path and encountering classical differential geometry in Chapters 3 and 4. Chapter 1 focuses on curves in the plane and in space, discussing the curvature of plane curves, convex curves, curvature and torsion of space curves, Serret-Frenet formulas, and the classification of curves under special affine motions. This chapter provides...
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