Calculus, Volume 2

By: Inder Kumar Rana

The second volume of the textbook 'Calculus' meets thedemanding academic standards of engineering and science students. It offers a comprehensive exploration of calculus, designed not only to teach computational techniques but also to foster a deeper conceptual understanding of the subject. What distinguishes this volume is its clear, student-friendly exposition and its emphasis on foundational thinking. The problems are thoughtfully graded--from routine exercises to challenging conceptual puzzles--many inspired by actual coursework and examinations. The book aims to prioritize intuitive explanations and geometric interpretations, helping students develop a strong visual and logical framework for calculus. To enhance engagement, the book also includes real-world applications and historical insights that contextualize mathematical concepts. The book focuses on multivariable calculus, covering limits, continuity, differentiation, and extrema of scalar fields; differentiation and integration of functions of several variables; vector fields and line integrals; Green's theorem and its applications; surface integrals, the divergence theorem, and Stokes' theorem with applications.

• Format: Hardcover
• Language: English
• ISBN: 3032430429
• ISBN13: 9783032430427
• Release Date: March 2027
• Publisher: Springer