"Dynamic Programming in Economics" is a textbook aimed at first-year PhD students and researchers in the field of macroeconomic dynamics. It provides a solid yet accessible treatment of optimal growth models over an infinite discrete time horizon. The book aims to train readers in the application of these models while also helping them advance their research in this area. It fills a gap between fundamental tools and specialized monographs at the forefront of optimal growth research. The authors, Cuong Van and Rose-Anne Dana, have designed the book to be beneficial for both mathematics and economics students. With a clear focus on the practical applications of theory, this work is a valuable resource for anyone engaged with the dynamic aspects of economics.