This book, "Dynamic Equations on Time Scales: An Introduction with Applications," by Martin Bohner and Allan Peterson, introduces the theory of dynamic equations on time scales, a unifying framework that combines continuous and discrete analysis. The authors aim to harmonize the continuous and discrete theories, making it easier for students to understand both and for researchers to apply the theory in various fields such as biology, engineering, economics, and physics. The book is structured into eight chapters, covering fundamental concepts, first and second order linear equations, self-adjoint equations, linear systems and higher order equations, dynamic inequalities, linear symplectic dynamic systems, and extensions of the time scales calculus. Each chapter includes numerous exercises, with solutions provided for many, making it suitable for both undergraduate and graduate students. The book also highlights the potential applications of the theory, such as modeling insect populations that exhibit both continuous and discrete behavior. The authors emphasize the importance of the time scales calculus in unifying and extending the study of differential and difference equations, providing a comprehensive introduction to the subject that is accessible to those with a background in calculus and linear algebra.This book, "Dynamic Equations on Time Scales: An Introduction with Applications," by Martin Bohner and Allan Peterson, introduces the theory of dynamic equations on time scales, a unifying framework that combines continuous and discrete analysis. The authors aim to harmonize the continuous and discrete theories, making it easier for students to understand both and for researchers to apply the theory in various fields such as biology, engineering, economics, and physics. The book is structured into eight chapters, covering fundamental concepts, first and second order linear equations, self-adjoint equations, linear systems and higher order equations, dynamic inequalities, linear symplectic dynamic systems, and extensions of the time scales calculus. Each chapter includes numerous exercises, with solutions provided for many, making it suitable for both undergraduate and graduate students. The book also highlights the potential applications of the theory, such as modeling insect populations that exhibit both continuous and discrete behavior. The authors emphasize the importance of the time scales calculus in unifying and extending the study of differential and difference equations, providing a comprehensive introduction to the subject that is accessible to those with a background in calculus and linear algebra.