Essential Calculus with Applications (Dover Books on Mathematics)

This editorial review of the "Essential Calculus with Applications Dover Books on Mathematics" presents a diverse range of opinions from customers. Some appreciate the book for its straightforward and concise nature, offering a mathematical and abstract approach to calculus, which is useful for those already familiar with the material. The inclusion of basic proof Construction, set theory, and induction is lauded by more mathematically mature individuals seeking to enhance their understanding. However, the lack of specific applications and examples with numbers is criticized, especially for those who are newcomers to calculus and require tangibility in problem-solving. The book's simplicity and focus on essential points are commended, especially compared to more modern, verbose textbooks, with a preference for brief and to-the-point content. Additionally, the affordability and absence of distracting elements like color cartoons and unnecessary textboxes are praised. On the other hand, it is noted that the book lacks coverage of trigonometric or logarithmic differentiation/integration, which could hinder a comprehensive understanding for less experienced or younger students. Additionally, criticisms include the absence of dedicated sections on limits, insufficient practice problems, and a somewhat imbalanced coverage between differentiation and integration. However, the book is generally acknowledged for its level of rigor, coverage of optimization and differentiation techniques, and its value as a resource for those interested in applied problems in finance and basic economics. Overall, the "Essential Calculus with Applications" is found to be beneficial primarily for individuals with some prior mathematical experience, seeking a concise and abstract approach to calculus, and for those interested in its applications in economics and finance. **