"Visual Complex Functions" by Elias Wegert stands as a beacon in the exploration of complex analysis, transforming a traditionally abstract subject into a vivid and captivating visual journey. Wegert harnesses the power of color and imagery through the innovative use of phase portraits, which illuminate the intricate world of functions as never before seen. This groundbreaking approach not only demystifies complex functions but also enriches the reader's understanding by providing a tangible representation of abstract concepts. The book elegantly navigates through the core principles and advanced topics of complex analysis, making it accessible to those with a basic understanding of real calculus and plane geometry, while also stretching into more profound themes that will intrigue even the most seasoned mathematicians. Beyond its educational merit, "Visual Complex Functions" is an art gallery of mathematical beauty, offering over 200 phase portraits that give analytic functions their unique faces. These portraits serve as a bridge between intuition and theory, allowing properties of complex functions to be comprehended and appreciated in an entirely new light. Whether used as a companion to other texts, a primary learning tool, or a reference for advanced researchers, Wegert’s work invites readers on a journey that reveals the elegance and complexity of functions through the lens of visual understanding. It promises not just to educate but to inspire, posing new questions and exploring the uncharted territories of complex analysis.