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.
The main difference between a calculus book at the Stewart level and one at the Spivak level is the level of rigor and depth of mathematical concepts covered. Stewart's calculus books are more commonly used in introductory calculus courses and focus on practical applications and problem-solving techniques. On the other hand, Spivak's calculus books are more advanced and focus on developing a deeper understanding of the fundamental principles of calculus through rigorous proofs and theoretical concepts.
For a beginner in calculus, it is recommended to start with a calculus book at the Stewart level. These books are designed to introduce students to the basic concepts of calculus in a more approachable and practical manner. Once a solid foundation is established, students can then move on to more advanced calculus books, such as those at the Spivak level.
Yes, it is highly recommended to have a strong background in mathematics before attempting to understand a calculus book at the Spivak level. These books assume a strong understanding of algebra, trigonometry, and precalculus concepts. Without this foundation, it may be difficult to grasp the more advanced concepts and rigorous proofs presented in a Spivak level calculus book.
Yes, a calculus book at the Stewart level can be used for self-study. These books often include detailed explanations, examples, and practice problems to help students learn the material on their own. However, it is recommended to seek additional resources and support, such as online tutorials or a tutor, to supplement self-study and ensure a thorough understanding of the material.
While both levels cover the core concepts of calculus, there may be some differences in the specific topics covered. Stewart's calculus books tend to have a more applied focus, covering topics such as optimization, curve sketching, and applications of integrals. Spivak's calculus books, on the other hand, may delve deeper into theoretical concepts, such as limits, continuity, and derivatives of multivariable functions.