Textbook in PDF format Advanced Engineering Calculus is a content-rich, user-friendly and compact learning and teaching resource. It offers over 440 problems — many with multiple parts — as well as detailed figures to aid readers in visualizing and understanding the topics covered. Engaging with a wide range of advanced calculus topics and their applications, this book caters to students enrolled in the sciences and applied sciences. Each chapter begins with an accessible summary of the relevant mathematical notions and their properties. Questions are sorted by topic and accompanied by detailed solutions. To further aid readers, precise and consistent mathematical notation and vocabulary are used throughout. This produces a learning resource capable of clearly communicating complex and advanced calculus ideas and their applications. In short, this book serves as a cross between a handbook, a learning guide, and rich teaching resource on a wide range of advanced calculus topics, something that has been missing in the otherwise crowded field of calculus titles