"Modern Geometry ― Methods and Applications" by B.A. Dubrovin stands as a monumental first entry in a trilogy that embarks on a journey through the intricate and spellbinding world of modern geometry. This tome delves deeply into the foundations and applications of tensors, differential calculus, and the calculus of variations, stretching its exploration into both singular and multiple dimensions. With a keen eye on the practical, Dubrovin masterfully bridges the abstract mathematical theories with their profound implications in theoretical physics, making this work an indispensable resource for mathematicians and physicists alike. In this revised edition, Dubrovin not only expands upon the traditional concepts but also introduces a fresh perspective, making complex ideas accessible through a clear and straightforward narrative. The language employed speaks to both mathematicians and physicists, ensuring a broad appeal. Through a meticulous blend of theory and application, "Modern Geometry ― Methods and Applications" unveils the elegance and power of geometric field theory, offering readers a comprehensive guide through the evolving landscape of modern geometry. It promises to enrich the reader's understanding, whether they are venturing into the realm of geometry for the first time or seeking to deepen their existing knowledge.