Looking for calculus textbooks in PDF? We've gathered 15 free calculus books in PDF, covering topics from limits and derivatives to integrals, infinite series, and applied mathematics.
These textbooks come from professors at MIT, open education projects like OpenStax, and university lecture series. Whether you need a first-semester introduction or a proof-based advanced course, there is a calculus book here for you.
Browse our collection below. Every calculus book is free to read online or download as PDF.
Introductory Calculus Books
New to calculus? These books cover the basics: limits, differentiation, and integration, explained step by step.
You'll find textbooks from Gilbert Strang, the classic Calculus Made Easy by Silvanus P. Thompson, and activity-based guides. These calculus books help you learn by doing.
Comprehensive first-year calculus textbook from OpenStax covering limits, derivatives, integrals, and their applications. Peer-reviewed and used at hundreds of universities.
Gilbert Strang's classic calculus textbook from MIT. Covers differential and integral calculus with an intuitive, application-driven approach. Available free through MIT OpenCourseWare.
Two-volume introductory calculus covering differentiation, integration, sequences, and applications to science and engineering. Written by an emeritus professor at Old Dominion University.
Tutorial-style Calculus I notes from Lamar University. Covers limits, derivatives, integrals, and applications with step-by-step worked examples throughout.
The classic 1914 introduction to calculus, written in plain language for self-learners. Covers differentiation, integration, and their practical applications without unnecessary complexity.
Single variable calculus textbook covering analytic geometry, derivatives, transcendental functions, integration, and sequences and series. Clear explanations with exercises.
Calculus textbook focused on business and economics applications. Covers functions, rates of change, derivatives, and integrals with real-world examples from finance and social sciences.
Concise first-semester calculus lecture notes from the University of Wisconsin. Covers derivatives, limits, graph sketching, exponentials, logarithms, integration, and Taylor's formula.
Full calculus textbook covering early transcendentals, integration techniques, sequences, series, and multivariable calculus. Expanded version of Guichard's text with additional examples and exercises.
Activity-based calculus textbook that guides students through discovery of key concepts. Covers derivatives, integrals, sequences, series, and differential equations with hands-on exercises.
Classic calculus textbook integrating analytic geometry with differentiation and integration. Covers conic sections, logarithms, trigonometric functions, and techniques of integration.
Extensive collection of calculus exercises organized by topic, from basic inequalities through multivariable calculus. Includes answers to odd-numbered exercises and challenging problems.
Second-semester calculus lecture notes covering definite integrals, techniques of integration, applications, and infinite sequences and series. From Simon Fraser University.
Calculus textbook using the infinitesimal approach, covering real numbers, functions, graphs, limits, derivatives, and integration. Offers a unique non-standard analysis perspective.
Proof-based advanced calculus lecture notes covering real number axioms, sequences, series, continuity, differentiation, and Riemann integration. Designed for upper-level math students.
