Recommendations for an introductory textbook on general chemistry that incorporates calculus and is suitable for honors-level courses include "Chemistry: The Molecular Nature of Matter and Change" by Silberberg, "University Chemistry" by Peter Siska, "Chemical Principles: The Quest for Insight" by Peter Atkins and Loretta Jones, and "Chemistry, The Central Science" by Brown, LeMay, Bursten, and Murphy. Users suggest checking the syllabi from respected university chemistry departments to find suitable texts, noting that MIT uses the Atkins book. Additionally, physical chemistry texts, such as McQuarrie, are mentioned as accessible options due to the availability of solutions manuals, bridging the gap between general and upper-division chemistry.