Edwin E. Moise: Calculus. It is closer to Courant imo.AfterSunShine said:Hi,
Are there calculus books that lie between Stewart (or Thomas) level and Spivak (Courant/Apostol) level?
Thanks.
Stewart's Calculus is more application-oriented, focusing on techniques and problem-solving skills useful for engineers and scientists. Spivak's Calculus, on the other hand, is more rigorous and theoretical, providing a deeper understanding of the foundations of calculus and preparing students for higher-level mathematics.
For self-study, it depends on your goals and background. If you are looking for a practical approach with plenty of examples and exercises, Stewart's Calculus is often recommended. If you are interested in a more rigorous and proof-based approach, Spivak's Calculus would be more suitable.
Stewart's exercises tend to be more varied and include many applied problems, making them useful for students in engineering and the sciences. Spivak's exercises are more challenging and theoretical, often requiring proofs and a deeper understanding of the material.
If you plan to major in mathematics, Spivak's Calculus is generally the better choice because it provides a strong foundation in the theoretical aspects of calculus and prepares you for advanced courses. However, having a practical understanding from Stewart's Calculus can also be beneficial.
Yes, using both books simultaneously can provide a well-rounded understanding of calculus. You can use Stewart's book for practical problem-solving techniques and applications, while referring to Spivak's book for a deeper theoretical insight and rigorous proofs.