Spivak's celebrated Calculus is ideal for mathematics majors seeking an alternative to doorstop textbooks and formidable introductions to real analysis.
Michael Spivak Books
Michael David Spivak was a mathematician specializing in differential geometry and a prominent expositor of mathematical texts. His approach to teaching mathematics, particularly calculus, was known for its rigorous and theoretical nature. Spivak's textbooks, including a seminal five-volume work on differential geometry and his infamous introduction to calculus, served as foundational resources for students emphasizing pure mathematics. His writings are valued for their depth and theoretical challenge.
Designed to simplify the input of mathematical material in particular and to format the output according to any of various preset style specifications.
Calculus on Manifolds
A Modern Approach to Classical Theorems of Advanced Calculus
- 164 pages
- 6 hours of reading
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
