Loring W. Tu, An Introduction to Manifolds, Universitext, Springer, 2010.
Pedro Martínez Gadea & Jaime Muóoz Masqué, Analysis and Algebra on Differentiable Manifolds. A Workbook for Students and Teachers, Springer, 2009.
Shoshichi Kobayashi i Katsumi Nomizu, Foundations of Differential Geometry, John Wiley & Sons, 1963-69.
Peter W. Michor, Topics in Differential Geometry, Graduate Studies in Mathematics, Vol. 93, American Mathematical Society, 2008.
Yvonne Choquet-Bruhat, Cécile DeWitt-Morette i Margaret Dillard Bleick, Analysis, Manifolds and Physics, Part I, II, Elsevier, 1996-2000.
John M. Lee, Introduction to Smooth Manifolds, Graduate Texts in Mathematics, Vol. 218, Springer, 2013.
Борис А. Дубровин, Сергей П. Новиков, Анатолий Т. Фоменко, Modern Geometry - Methods and Applications, vol. 1,2,3, Graduate Texts in Mathematics, Vol. 93, 104, 124, Springer, 1984-90 (tłumaczenie pracy oryginalnej Современная геометрия, Методы и приложения, Том 1, 2, 3, Наука, 1979).
Raoul Bott & Loring W. Tu, Differential Forms in Algebraic Topology, Graduate Texts in Mathematics, Vol. 82, Springer, 1982.
Materiały uzupełniające:
R.R.S., „Algebra. Podstawy”, skrypt do wykładu z „Algebry I i II R” (wersja przed-ostateczna, wszelkie uwagi mile widziane).