Ideals, Varieties, and Algorithms by D. Cox and his colleagues represent a fascinating and deep dive into the world of algebraic geometry, which can be of interest to both students and professionals in mathematics and related disciplines. This publication not only highlights theoretical aspects, but also offers practical approaches to solving complex problems, making it a unique resource for all who seek to expand their knowledge in this area. From the first pages, the authors immerse the reader in an exciting world of ideals and diversity, revealing their relationship and significance in mathematics. The book begins with the basics, gradually moving to more complex concepts, which allows readers with different levels of training to easily absorb material. Intriguing examples and tasks given in the text make the learning process not only cognitive, but also fascinating. This book will be especially interesting for students and graduate students studying algebraic geometry, as well as teachers who are looking for quality materials for their courses. However, it can also attract the attention of researchers and practicing mathematicians who want to update their knowledge or find new approaches to solving problems. If you are passionate about mathematics, programming or even physics, “Ideals, Varieties and Algorithms” will become a real storehouse of useful information for you. The topics raised in the book cover a wide range of issues, ranging from the basics of algebraic structures to more complex concepts, such as algorithmic methods in algebraic geometry. The authors emphasize the importance of algorithms in modern mathematical research, which makes the book relevant in light of current trends in science. Readers will be able to learn about how algorithms can be used to solve problems that previously seemed insoluble, and how they affect the development of mathematical thought. The style of Cox and his colleagues is clear and accessible, which allows even complex concepts to be understood by a wide audience. Their previous works, such as "Algebraic Geometry" and "Geometry and Algebra", have already won recognition among readers, and the new book will not disappoint. The authors skillfully combine theory with practical examples, which makes the material not only informative, but also easily digestible. “Ideals, Varieties and Algorithms” is not just a textbook, but a real find for anyone who wants to deepen their knowledge in algebraic geometry and algorithmic methods. This book will be a reliable companion on your educational journey, opening new horizons and inspiring further research. If you are looking for high-quality literature on algebraic geometry that combines theory and practice, then this publication should definitely take place on your shelf. Do not miss the opportunity to immerse yourself in the world of mathematical discoveries with "Ideals, manifolds and algorithms" This book will be your reliable assistant in the study of complex topics and will help you develop the critical thinking and analytical skills necessary for a successful career in mathematics and related fields.