The book "Mathematics 1/Written for Physicists," along with the second volume released in spring 2002, follows an innovative strategy for the mathematical education of first-year physics students. The timely introduction of topics (differential equations starting from the second week of classes, etc.) and physics-related exercises alongside purely mathematical problems go hand in hand with the development of a deeper mathematical understanding. This unusual concept requires a lot of explanatory text, utilizing the author's well-known clear and persuasive writing style from other textbooks. Many illustrations clarify the concepts and relationships. It is well-suited as a supplementary textbook for lectures and also for self-study.