Elements of Classical and Geometric Optimization

This comprehensive textbook covers both classical and geometric aspects of optimization using methods, deterministic and stochastic in a single volume and in a language accessible to non-mathematicians. It will help serve as an ideal study material for senior undergraduate and graduate students in the fields of civil, mechanical, aerospace, electrical, electronics and communication engineering.

The book-

• Derivative-based Methods of Optimization.
• Direct Search Methods of Optimization.
• Basics of Riemannian Differential Geometry.
• Geometric methods of optimization using Riemannian Langevin Dynamics.
• Stochastic Analysis on Manifolds and Geometric Optimization Methods.

This textbook comprehensively treats both classical and geometric optimization methods, including deterministic and stochastic (Monte Carlo) schemes. It offers an extensive