Deterministic and Stochastic Optimal Control - Classic Reference

In this review of Deterministic and Stochastic Optimal Control the reviewer finds a dense, reference-grade work best suited to advanced students and practitioners who need rigorous foundations for applied problems. The single biggest reason to buy is that the text collects classic results linking optimal control theory to modern applications in mathematical finance, and the reprint makes those results accessible again. This review highlights clarity of presentation and the book's lasting relevance rather than introductory pedagogy.

Key Features

• Classic reference: The book gathers foundational results in optimal control that remain relevant for contemporary mathematical finance and applied probability.
• Rigorous treatment: Readers gain precise formulations and proofs that support research or technical implementation in stochastic control problems.
• Reprinted edition: Being reprinted makes enduring material available to libraries and professionals who need a reliable source of established results.
• Applied orientation: The connection to mathematical finance means readers can map theoretical results to models used in pricing, hedging, and risk analysis.
• Concise description: The publisher note emphasizes why the material matters today, offering buyers a clear expectation of advanced mathematical content.

Who It's For

Deterministic and Stochastic Optimal Control is aimed at graduate students, researchers, and quantitative professionals who already have a grounding in probability and control theory and who need a compact, authoritative reference. It suits those working on stochastic modelling, applied probability, or financial engineering who want rigorous statements and proofs rather than a gentle textbook introduction.

Those seeking a beginner textbook with step-by-step tutorials, extensive exercises, or a slow, example-driven pedagogy should look elsewhere; the book is best used alongside coursework or as a researcher reference rather than as a first learning resource.

Pros & Cons

Pros

• Collects established optimal control results in one place, saving time searching the literature.
• Strong emphasis on rigor makes it useful for research and precise technical work.
• Relevant to applications in mathematical finance, providing bridges from theory to practice.

Cons

• The presentation is compact and assumes prior knowledge, which limits accessibility for beginners.

Specifications

Our Verdict

Deterministic and Stochastic Optimal Control is a worthwhile buy for those needing a concise, rigorous reference linking optimal control to modern applied problems, especially in mathematical finance. It offers strong value for researchers and practitioners who prioritize authoritative results over tutorial learning, but beginners should supplement it with more introductory material.

Frequently Asked Questions

Is this book suitable for beginners?
No. It assumes prior familiarity with probability and control theory and works best as a reference or companion to graduate coursework.

Does the reprint update the content?
The reprint makes the classic results available again but focuses on preserving the original material rather than modern rewrites.

Will it help with financial modelling?
Yes. The book explains control results that have found applications in mathematical finance and can inform model development and theoretical analysis.