Analysis on Manifolds (MMath)
1. 
Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
by:
Michael Spivak
4.21 avg rating — 363 ratings 
3. 
5. 
Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds
by:
Theodore Shifrin
4.18 avg rating — 17 ratings 6. 
Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach
by:
John H. Hubbard
4.36 avg rating — 72 ratings 7. 
Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218)
by:
John M. Lee
4.46 avg rating — 145 ratings 
10. 
Introduction to Topological Manifolds (Graduate Texts in Mathematics, 202)
by:
John M. Lee
4.53 avg rating — 64 ratings 11. 
Differential Forms in Algebraic Topology (Graduate Texts in Mathematics, 82)
by:
Raoul Bott
4.61 avg rating — 54 ratings 12. 
A Comprehensive Introduction to Differential Geometry, Volume 2
by:
Michael Spivak
4.66 avg rating — 38 ratings 13. 
A Comprehensive Introduction to Differential Geometry, Volume 3
by:
Michael Spivak
4.31 avg rating — 29 ratings 14. 
A Comprehensive Introduction to Differential Geometry, Volume 5
by:
Michael Spivak
4.52 avg rating — 25 ratings 15. 
A Comprehensive Introduction to Differential Geometry, Volume 4
by:
Michael Spivak
4.33 avg rating — 21 ratings 16. 
Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists
by:
Paul Renteln
4.50 avg rating — 16 ratings 17. 
Riemannian Geometry (Graduate Texts in Mathematics, 171)
by:
Peter Petersen
4.33 avg rating — 15 ratings 18. 
Methods of Information Geometry (Translations of Mathematical Monographs) (v. 191)
by:
Shun-Ichi Amari
4.50 avg rating — 10 ratings 
20. 
Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics, 275)
by:
Loring W. Tu
4.30 avg rating — 10 ratings 
22. 
First Steps in Differential Geometry: Riemannian, Contact, Symplectic
by:
Andrew McInerney
4.22 avg rating — 9 ratings 23. 
Differential Geometry, Gauge Theories, and Gravity (Cambridge Monographs on Mathematical Physics)
by:
M. Gockeler
really liked it 4.00 avg rating — 10 ratings 
26. 
Information Geometry and Its Applications (Applied Mathematical Sciences, 194)
by:
Shun-Ichi Amari
4.57 avg rating — 7 ratings 27. 
Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics, Series Number 98)
by:
Isaac Chavel
4.50 avg rating — 4 ratings 28. 
29. 
Information Geometry: Near Randomness and Near Independence (Lecture Notes in Mathematics, 1953)
by:
Khadiga Arwini
4.67 avg rating — 3 ratings 
31. 
A Comprehensive Introduction to Differential Geometry, Vol. 1
by:
Michael Spivak
4.27 avg rating — 73 ratings 
35. 
Schaum's Outline of Differential Geometry (Schaum's Outline Series) 4.11 avg rating — 37 ratings
36. 
A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry
by:
Peter Szekeres
4.31 avg rating — 29 ratings 37. 
The Concept of a Riemann Surface (Dover Books on Mathematics)
by:
Hermann Weyl
4.06 avg rating — 16 ratings 38. 
Differential Topology (Graduate Texts in Mathematics, 33)
by:
Morris W. Hirsch
3.89 avg rating — 19 ratings 39. 
Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, 65) 4.27 avg rating — 11 ratings
40. 
41. 
Riemannian Geometry and Geometric Analysis
by:
Jürgen Jost
really liked it 4.00 avg rating — 8 ratings 42. 
Differential and Riemannian Manifolds (Graduate Texts in Mathematics, 160)
by:
Serge Lang
3.67 avg rating — 6 ratings 43. 
Elementary Topics in Differential Geometry
by:
John A. Thorpe
really liked it 4.00 avg rating — 11 ratings 
45. 
Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
by:
Jürgen Jost
really liked it 4.00 avg rating — 5 ratings 46. 
Optimization Algorithms on Matrix Manifolds
by:
P.A. Absil
really liked it 4.00 avg rating — 4 ratings 
48. 
Geometric and Topological Inference (Cambridge Texts in Applied Mathematics, Series Number 57) really liked it 4.00 avg rating — 1 rating
49. 
Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds (Solid Mechanics and Its Applications, 230)
by:
Mühlich
3.50 avg rating — 2 ratings 50. 
The Laplacian on a Riemannian Manifold
by:
Steven Rosenberg
really liked it 4.00 avg rating — 2 ratings 51. 
Geometric Analysis of the Bergman Kernel and Metric (Graduate Texts in Mathematics, 268)
by:
Steven G. Krantz
really liked it 4.00 avg rating — 4 ratings