First Steps in Differential Geometry: Riemannian, Contact, Symplectic

Introduces symplectic and contact geometry alongside Riemannian geometry, unlike other texts in differential geometry Develops tools from linear algebra and advanced calculus, including differential forms and tensors, that are necessary in differential geometry Introduces the reader to higher mathematics, including proofs of most of the main statements and results Aimed as a text for undergraduate students who have finished two years of standard mathematics curriculum, including courses in calculus, linear algebra, and differential equations Includes supplementary material: sn.pub/extras