This book is a practical, research-informed guide to using generative AI as a multi-purpose writing tool. Unlike existing resources that either treat AI as an intrinsic threat to academic integrity or focus on its philosophical implications, this book repositions AI as a powerful collaborator throughout all stages of the writing process--pre-writing, drafting, and revision. It is designed for undergraduates in the humanities and sciences. Drawing on years of hands-on experimentation and teaching, this book provides students with a series of strategies and classroom-tested exercises that demonstrate how to meaningfully integrate AI into their writing workflows. Moreover, this project synthesizes all of its individual materials into a comprehensive framework grounded in process pedagogy, making the book comprehensive in ways that will prove appealing to educators interested in writing instruction, curriculum design, and digital literacy. This book is organized into three parts aligned with the natural flow of composition: Part 1: Pre-Writing - rhetorical situation/prompt engineering, invention, researchPart 2: Writing - outlining, drafting, paragraphingPart 3: Post-Writing - revision, editing, self-assessment With strong potential for academic markets, The Process of Generative AI Writing equips undergraduate readers with a practical framework to ethically and effectively write with AI.