100+1 Problems in Advanced Calculus: A Creative Journey through the Fjords of Mathematical Analysis for Beginners

This book is a collection of carefully selected problems in mathematical analysis, designed to achieve synergy between analytic geometry and algebra and promote mathematical creativity. It covers fundamental concepts seen in a first-year Calculus course, such as inequalities, point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus, graphs of functions, and Riemann integrals and antiderivatives. Solutions are provided at the end of each chapter.

Format: Hardback
Publication date: 31 January 2022
Publisher: Springer International Publishing

This book is a remarkable compilation of carefully curated problems in mathematical analysis, designed to achieve a perfect blend of analytic geometry and algebra, while promoting mathematical creativity rather than relying solely on repetitive techniques. Spanning eight chapters, this comprehensive guide takes the student on a journey through the fundamental principles of the subject, challenging them to employ their imagination effectively. Every chapter in this work covers all the essential concepts typically taught in a first-year Calculus course. The problems explore a wide range of topics, including inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (such as Rolle, Lagrange, Cauchy, and lHospital), graphs of functions, and Riemann integrals and antiderivatives.

To enhance understanding, each chapter begins with a theoretical background, providing relevant definitions and theorems. Subsequently, related problems are presented, allowing students to apply their knowledge and solve them. The book maintains a minimal use of formalism, making it accessible to both instructors and students of Mathematical Analysis, Calculus, and Advanced Calculus, particularly first-year undergraduates enrolled in Mathematics, Physics, and Engineering courses. Moreover, this book serves as an invaluable supplement to any traditional textbook on these subjects, enriching the learning experience for students.

Weight: 0g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030918620