This book introduces the fundamental theory of mathematical optimization and explores classical and modern gradient-based algorithms. It is designed for students and researchers seeking a solid understanding of optimization techniques, covering both theoretical underpinnings and practical algorithmic approaches. The text aims to bridge the gap between abstract mathematical concepts and their application in solving real-world problems.

The book is likely to be regarded as a comprehensive and rigorous introduction to mathematical optimization, suitable for advanced undergraduate or graduate students in mathematics, engineering, or computer science. Its focus on both theory and algorithms suggests it serves as a valuable reference for practitioners and researchers in fields requiring numerical optimization. The inclusion of both classical and newer methods indicates an effort to provide a contemporary overview of the subject.