The book "On Curves Determined by Differential Equations" (originally titled "Sur les courses définies par des uations différentielles") is written by the outstanding French mathematician Henri Poincaré, whose name has become synonymous with in-depth research in mathematics and theoretical physics. This work, published at the beginning of the 20th century, is not only a mathematical theory, but also a philosophical view of the nature of curves and their relationship with differential equations. The book immerses the reader in the world of mathematical research, where curves become not just geometric figures, but objects of deep analysis and research. Poincaré, using his unique style, creates a fascinating narrative that combines strict logic with intuitive understanding. He examines how different types of differential equations can define curves and how these curves can be used to solve complex mathematical problems. This work will be of interest not only to professional mathematicians, but also to students, graduate students, as well as anyone who is interested in mathematics and its applications in other sciences. If you are passionate about topics such as dynamic systems theory, topology or even physics, then Poincaré’s book will be a real discovery for you. It can attract readers between the ages of 18 and 50 who seek to deepen their knowledge of mathematics and scientific thinking. The topics raised in the book cover a wide range of issues, including the stability of solutions to differential equations, the behavior of curves under different conditions, and their geometric properties. Poincaré not only formulates theories, but also illustrates them with examples, which makes the material more accessible to understanding. His approach to mathematics, based on intuition and visualization, allows the reader not only to learn the theoretical aspects, but also to see the beauty of mathematics in action. Poincaré's style is clear and logical, which makes his work easy to understand, despite the complexity of the topics discussed. He skillfully combines rigorous scientific argumentation with living language, which allows the reader not only to understand, but also to feel how mathematics comes to life in the pages of the book. Among other well-known works of the author can be distinguished "Scientific and philosophical essays", where he also touches on issues relating to the nature of science and its methods. The book "On Curves Determined by Differential Equations" deserves attention not only for its mathematical achievements, but also for its philosophical approach to science. Poincaré emphasizes that mathematics is not just a set of formulas and equations, but a living science that requires creativity and intuition. It shows how mathematical ideas can intersect with philosophical questions about the nature of reality and our perception of the world. If you are looking for a book that combines deep mathematical ideas and philosophical reflections, then “On Curves Defined by Differential Equations” will be a real find for you. It will open new horizons in the understanding of mathematics and its place in our world, as well as inspire further research and reflection. Do not miss the opportunity to immerse yourself in a world where mathematics and philosophy go hand in hand, creating a unique and fascinating journey through curves and equations.