Smooth Manifolds and Observables

This textbook demonstrates how differential calculus, smooth manifolds, and commutative algebra constitute a unified whole, despite having arisen at different times and under different circumstances.

Aceasta carte ofera o introducere a spatiilor de fibra si a operatorilor diferentiali pe colectoare netede. In ultimii 20 de ani, autorii au dezvoltat o abordare algebrica a subiectului si explica in aceasta carte de ce calculul diferential pe varietati poate fi considerat ca un aspect al algebrei comutative.