All the math you missed (but need to know for graduate school)
Thomas A Garrity
- Cambridge, United Kingdom ; New York, NY, USA Cambridge University Press 2021
- xxviii, 388 pages 23 cm
On the structure of mathematics; Brief summaries of topics; 1. Linear Algebra; 2. and real analysis; 3. Calculus for vector-valued functions; 4. Point set topology; 5. Classical Stokes' theorems; 6. Diff erential forms and Stokes' theorem; 7. Curvature for curves and surfaces; 8. Geometry; 9. Countability and the Axiom of Choice; 10. Elementary number theory; 11. Algebra; 12. Algebraic number theory; 13. Complex analysis; 14. Analytic number theory; 15. Lebesgue integration; 16. Fourier analysis; 17. Diff erential equations; 18. Combinatorics and probability theory; 19. Algorithms; 20. Category theory; Appendix A. Equivalence relations; References; Index.