We may earn an affiliate commission when you visit our partners.

Dynamic programming

Save
May 1, 2024 Updated May 9, 2025 25 minute read

Dynamic programming is a powerful algorithmic technique used to solve complex problems by breaking them down into simpler, overlapping subproblems. The core idea is to solve each subproblem only once and store its solution, so that when the same subproblem is encountered again, its solution can be retrieved instead of recomputed. This approach can lead to significant improvements in efficiency, particularly for problems that exhibit certain characteristics.

For those intrigued by elegant problem-solving and optimization, dynamic programming offers a fascinating area of study. It is a cornerstone of algorithm design, and mastering it can unlock the ability to tackle a wide range of computational challenges. The thrill of devising a clever dynamic programming solution that dramatically speeds up a computation can be immensely satisfying. Furthermore, the principles of dynamic programming find applications in diverse fields, from optimizing financial strategies to unraveling the complexities of biological sequences.

What is Dynamic Programming? An Introduction

Path to Dynamic programming

Take the first step.
We've curated 24 courses to help you on your path to Dynamic programming. Use these to develop your skills, build background knowledge, and put what you learn to practice.
Sorted from most relevant to least relevant:

Share

Help others find this page about Dynamic programming: by sharing it with your friends and followers:

Reading list

We've selected 11 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Dynamic programming.
Classic in the field of dynamic programming and optimal control and provides a comprehensive overview of the subject. It is written by Dimitri Bertsekas, a leading researcher in the field, and provides a theoretical foundation for dynamic programming as well as practical application examples.
Provides a comprehensive overview of the field of dynamic programming and its applications. It is written by David Bertsekas, a leading researcher in the field, and provides a theoretical foundation for dynamic programming as well as practical application examples.
Provides an introduction to the field of reinforcement learning, which subfield of machine learning that deals with sequential decision-making. Reinforcement learning is closely related to dynamic programming and this book provides a good overview of the field and its applications.
Provides a comprehensive overview of algorithms and data structures. Dynamic programming technique used in algorithm design, and this book provides a good overview of the subject.
Provides a good introduction to the field of dynamic programming. It is written in a clear and concise style and provides many examples and exercises to help the reader understand the concepts.
Provides a practical guide to using dynamic programming to solve coding interview problems. It provides many examples and exercises to help the reader understand the concepts.
Provides a good introduction to the field of dynamic programming. It is written in a clear and concise style and provides many examples and exercises to help the reader understand the concepts.
Provides a comprehensive overview of the field of dynamic programming. It is written by four leading researchers in the field and provides a theoretical foundation for dynamic programming as well as practical application examples.
Classic in the field of dynamic programming and provides a comprehensive overview of the subject. It is written by Richard Bellman, the inventor of dynamic programming, and provides a theoretical foundation for the subject as well as practical application examples.
Provides a good introduction to the field of dynamic programming. It is written in a clear and concise style and provides many examples and exercises to help the reader understand the concepts.
Provides a comprehensive overview of the field of dynamic programming and its applications. It is written by Andrei Markov, a leading researcher in the field, and provides a theoretical foundation for dynamic programming as well as practical application examples.
Table of Contents
Our mission

OpenCourser helps millions of learners each year. People visit us to learn workspace skills, ace their exams, and nurture their curiosity.

Our extensive catalog contains over 50,000 courses and twice as many books. Browse by search, by topic, or even by career interests. We'll match you to the right resources quickly.

Find this site helpful? Tell a friend about us.

Affiliate disclosure

We're supported by our community of learners. When you purchase or subscribe to courses and programs or purchase books, we may earn a commission from our partners.

Your purchases help us maintain our catalog and keep our servers humming without ads.

Thank you for supporting OpenCourser.

© 2016 - 2025 OpenCourser