The main difference between the Leithold and Stewart Calculus textbooks is their approach to teaching the subject. Leithold's textbook focuses on a more traditional approach with a strong emphasis on algebraic manipulations and step-by-step problem solving. Stewart's textbook, on the other hand, takes a more conceptual approach, emphasizing graphical and real-world applications of calculus.
For beginners in calculus, the Leithold textbook may be a better choice as it provides a more structured and step-by-step approach to learning the subject. However, this may also depend on the individual's learning style and preferences.
Stewart's textbook is generally considered to be more comprehensive and covers a wider range of topics compared to Leithold's textbook. This is because Stewart's textbook is more modern and includes more recent developments in calculus.
Both textbooks have similar problem sets and exercises, with Leithold's textbook having more traditional and straightforward problems while Stewart's textbook includes more real-world and challenging problems.
Stewart's textbook is more commonly used in universities and colleges, as it is considered to be more modern and comprehensive. However, some institutions may still use Leithold's textbook as it provides a more traditional approach to teaching calculus.