Differential Calculus: Problems And Solutions From Fundamentals To Nuances

This book is a comprehensive collection of differential calculus problems, covering limits, continuity, derivatives, and applications. It includes approximations, growth and decay, optimization, curve sketching techniques, and analytical tools. The problems are sorted by topic and accompanied by solutions and sketches. It also features true-false and multiple-choice questions to assess understanding and practice.

Format: Paperback / softback
Length: 328 pages
Publication date: 12 January 2024
Publisher: World Scientific Publishing Co Pte Ltd

This comprehensive volume presents an extensive collection of over 900 problems in differential calculus, encompassing a wide range of topics such as limits, continuity, derivatives, and their applications. The applications are diverse, encompassing various approximations, growth and decay, optimization, curve sketching techniques, and analytical tools for investigating properties of parametrically given planar curves. The problems are organized by subject matter, each beginning with a concise summary of the relevant mathematical concepts and their properties. Through a thoughtful selection of appropriate problems in each chapter, the book effectively communicates some of the fundamental ideas and applications in calculus, including the notions of functions, infinitesimals, differentiable functions, and approximations. The book offers detailed solutions to each problem, often accompanied by a step-by-step sketch of the solution process. Additionally, it includes approximately 260 true-false and multiple-choice questions to aid in assessing and refining the understanding of calculus-related facts and nuances. Furthermore, the book features over 180 figures, which serve as valuable visual aids for readers, aiding in the comprehension of function properties, illustrating word problems, depicting solutions, and providing an extensive bank of polar curves. The primary purpose of this problem collection is to serve as a valuable supplementary learning resource for students enrolled in university-level differential calculus courses. It also serves as a valuable teaching resource for calculus instructors, providing them with a wealth of challenging problems to engage their students and enhance their learning experience.

ISBN-13: 9789811273896