Elementary Convexity with Optimization

This book uses advanced calculus and real analysis to develop fundamental convex analysis and optimization concepts, with a focus on building geometric intuition and providing alternative proofs. It covers optimization algorithms and is useful for advanced undergraduate and graduate students, researchers, and engineers.

Format: Paperback / softback
Length: 139 pages
Publication date: 27 June 2023
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the realm of fundamental convex analysis and optimization, employing advanced calculus and real analysis to unravel its mysteries. Within its pages, brief accounts of advanced calculus and real analysis are provided, serving as a foundation for the intricate concepts that follow. The primary focus lies in cultivating a geometric intuition for the subject, aided by illustrative figures that enhance understanding. Two notable features of this book set it apart. Firstly, it presents elementary alternative proofs of numerous results, offering alternative perspectives on established theories. Secondly, it encompasses a diverse range of useful concepts from optimization and convexity, which are invaluable to researchers in optimization, game theory, control theory, and mathematical economics. A dedicated chapter on optimization algorithms provides a comprehensive overview of the field, touching upon various contemporary themes. This book is a valuable resource for advanced undergraduate and graduate students, as well as scholars and researchers in the aforementioned fields and various engineering disciplines. Its comprehensive coverage and insightful explanations make it an essential tool for anyone seeking to deepen their knowledge in these dynamic areas of mathematics.

Dimension: 235 x 155 (mm)
ISBN-13: 9789819916511
Edition number: 1st ed. 2023