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"Calculus and infinite series" as a book category covers the mathematical study of change, accumulation, and the behavior of sequences and sums that extend without bound. It includes introductory and advanced treatments of limits, differentiation, and integration (single- and multivariable), as well as the theory and techniques for analyzing sequences and infinite series — convergence tests, power and Taylor series, uniform convergence, and methods for summation and approximation. Books in this category range from textbooks and problem collections for undergraduates to rigorous expositions that connect calculus to real and complex analysis, Fourier series, and applications in physics, engineering, and numerical methods. Titles may emphasize computational techniques, theoretical foundations, proofs, or applied modeling, making the category useful for students building foundational skills, instructors preparing courses, and researchers needing reference material on series expansions and asymptotic behavior.

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