Positives Reviewers consistently praise this book for its exceptional clarity and ability to foster a deep understanding of single-variable calculus concepts. Many found it to be one of the easiest textbooks to comprehend, with the author making a concerted effort to explain topics from various perspectives, often using real-life examples. The book is lauded for its clear exposition, abundant worked examples, and its step-by-step approach to problem-solving, which guides readers through the author's thought process. Its thoroughness in explaining theory, often including proofs, and highlighting essential formulas, makes it an excellent resource for self-study, reviewing calculus fundamentals, or as a strong companion to a more traditional textbook. Readers appreciate its engaging style, which some describe as making calculus enjoyable and less dry.
Negatives Despite its strengths, several reviewers noted limitations, particularly regarding the book's scope and format. While strong in single-variable calculus, its treatment of other mathematical areas, such as polar and exponential forms or complex numbers, is often described as rushed or incomplete, making it less suitable as a stand-alone reference. Some found the progression of examples to be inconsistent, leaping from simple to overly complex rather than gradually increasing in difficulty. A recurring criticism is the scarcity of practice problems or exercises, which many consider essential for truly mastering mathematics. Additionally, the Kindle version received significant complaints for poor formatting, with recommendations to opt for the paper edition or a quality PDF. A few readers also felt the book contained "too many words" or that certain sections, despite the overall clarity, could be perceived as dense or overly simplistic in their approach to proofs.
Conclusion In conclusion, this book emerges as a highly valuable resource, particularly as a supplemental guide or a comprehensive review tool for single-variable calculus. It is highly recommended for those seeking to gain a profound conceptual understanding of calculus, whether for high school, college, or self-study purposes, especially for Calculus I and II. While not ideal as a primary, stand-alone textbook due to its limited practice problems and narrower scope beyond core calculus, it excels as a companion book that fills in conceptual gaps and provides invaluable insights. It is best suited for readers who prioritize a clear, in-depth explanation of theory and problem-solving techniques over a vast array of exercises, and who are willing to use it alongside a traditional textbook for practice problems.
