Read

• • Fill in Gaps**:

Lang - Basic Mathematics Apostol - Calculus

• • Royal Road To Differential Geometry and Physics**:

Lawvere - Sets for Mathematics Shilov - Linear Algebra (and) Lev Landau - courses in physics Volume 1+2 (then) Bishop - Tensor Analysis (or) -------------------------- * Sternberg - Differential Geometry (then) ------------- \*\* Isu Vaisman - Cohomology and Differential Forms

• • Backbone**:

Arnold - Ordinary Differential Equations Kaplansky - Set Theory and Metric Spaces (and) Edmund Landau - Foundations of Analysis (then) Rudin - Principles of Mathematical Analysis Bradley, Bryson, Terrilla - Topology: A Categorical Approach Ahlfors - Complex Analysis Olver - Applications of Lie Groups to Differential Equations Aluffi - Algebra Chapter 0 (or) ------------------------ * Lang - Algebra ------------------------------------------ **