Charles Babbage's Story

Related lectures (31)

Page 3 of 4

Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.

Explores the logarithmic derivative of the Zeta function using the Hadamard factorization.

Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.

Covers the Lipschitz gradient theorem and its applications in function optimization.

Explains the volume calculation by intersecting two cylinders using coordinates and integrals.

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Covers the Gradient Young Theorem in the calculus of variations, discussing proofs and applications.

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Explores analytical trajectories, emphasizing critical points, inequalities, and analyticity.

Introduces the purpose of physics, the role of mathematics, and the importance of observation in understanding natural phenomena.