Topics related to mathematics can be complex to understand for many people. However, this science is one of the most studied and fundamental in the world. For this reason, we made a careful selection of integral calculus books in PDF format, so that our community can continue learning about the subject.
Differential calculus has its antecedents in Ancient Egypt, more specifically in the Moscow papyrus (1800 BC), where the existence of a formula for calculating the volume of a pyramid-shaped trunk is proven. However, the first known structured technique that could determine integrals arose in 370 BC with Eudoxus’ method of exhaustion.
Subsequently, the most important advances in integral calculus came in the 17th century with the fundamental theorem of calculus, an independent work by scientists Isaac Newton and Gottfried Wilhelm Leibniz that demonstrates that integration and derivation are inverse procedures.
Nowadays, we understand integral or infinitesimal calculus a branch of mathematics that is in charge of the study of calculus, starting from the process of integration or antiderivation. It is applied in science and engineering, specifically in the calculation of solids of revolutions and areas and volumes of regions.
Want to learn more? Then consult right now everything you need in the more than 20 books of integral calculus in PDF format that we offer you to download for free.
Here we present our complete selection of Integral Calculus books:
#1 CLP-2 Integral Calculus
Extension: PDF | 1244 pages
CLP-2 Integral Calculus by Joel Feldman, Andrew Rechnitzer, Elyse Yeager is a comprehensive textbook covering the core concepts and techniques of integral calculus. Its clear explanations and numerous examples make it an excellent resource for students seeking to master this fundamental area of mathematics.
#2 Worldwide Integral Calculus with infinite series
Extension: PDF | 669 pages
Worldwide Integral Calculus with infinite series por David B. Massey is a comprehensive guide to integral calculus, enriched with infinite series concepts. It provides valuable insights and techniques, making it an essential resource for students and enthusiasts.
#3 Advanced Calculus
Extension: PDF | 592 pages
Advanced Calculus por Lynn H. Loomis, Shlomo Sternberg. This book provides a rigorous and comprehensive treatment of advanced calculus, covering topics from basic linear algebra to differential and integral calculus on manifolds. It's a valuable resource for anyone seeking a deep understanding of the theoretical foundations of calculus.
#4 Integral Calculus
Extension: PDF | 321 pages
Integral Calculus por Joseph Edward S, m.a. This book offers a foundational approach to integral calculus, suitable for beginners. It provides clear explanations and numerous examples to build a solid understanding.
#5 Notes on Calculus II. Integral Calculus
Extension: PDF | 120 pages
Notes on Calculus II. Integral Calculus por Miguel A. Lerma is a comprehensive guide to integral calculus, covering various techniques and applications. It provides a solid foundation for understanding advanced mathematical concepts.
#6 Guide to Integration (Presentation)
Extension: PDF | 96 pages
Guide to Integration (Presentation) por Mark MacLean and Andrew Rechnitzer is a comprehensive slideshow covering fundamental integration techniques. It provides a valuable resource for mastering various methods and solidifying understanding.
#7 Lectures on Integration
Extension: PDF | 72 pages
Lectures on Integration by William G. Faris offers a solid mathematical foundation in integration theory, covering essential properties and constructions. This PDF provides a valuable resource for understanding measure theory, function spaces, and related topics.
#8 Integration Theory: Lecture notes
Extension: PDF | 71 pages
Integration Theory: Lecture notes por Johan Jonasson presents a rigorous introduction to measure theory and Lebesgue integration. It covers concepts crucial for advanced probability and analysis, offering a pathway from Riemann to more powerful integration techniques.
#9 Tutoring Integral Calculus
Extension: PDF | 70 pages
Tutoring Integral Calculus por S. Gill Williamson is a valuable resource for anyone looking to tutor or deepen their understanding of integral calculus. It offers insights into common student pitfalls and effective teaching strategies.
#10 Indefinite Integrals Calculus
Extension: PDF | 55 pages
Indefinite Integrals Calculus por Tredyffrin/Easttown School District offers a comprehensive guide to understanding and mastering indefinite integrals. Explore fundamental concepts, rules, and practical examples to strengthen your calculus skills.
#11 Integration by parts (Presentation)
Extension: PDF | 39 pages
Integration by parts (Presentation) by Graham S McDonald is a valuable resource for understanding the integration by parts technique. It provides a self-contained tutorial with clear explanations, examples, and exercises to master this integral calculus method.
#12 Integration techniques
Extension: PDF | 39 pages
Integration techniques por James Cook's covers essential integration methods like u-substitution, trigonometric substitution, and integration by parts. It provides a comprehensive overview with examples and problem-solving strategies.
#13 Integral Calculus – Exercises
Extension: PDF | 34 pages
Integral Calculus - Exercises by Buders offers a curated collection of integral calculus problems, focusing on techniques like substitution and integration by parts. This resource provides step-by-step solutions, making it invaluable for students aiming to master integral calculus concepts.
#14 Definite Integration (Presentation)
Extension: PDF | 34 pages
Definite Integration (Presentation) por R Horan & M Lavelle is a concise guide focusing on the core concepts of definite integrals. This PDF offers a self-assessment program to solidify understanding and skill in calculating basic definite integrals, making it a valuable resource for learners.
#15 Techniques of Integration
Extension: PDF | 26 pages
Techniques of Integration por Whitman College explores methods for finding antiderivatives, essential for integral calculus. It provides examples and techniques like substitution and integration by parts, making it a valuable resource for mastering integration.
#16 Integral Calculus
Extension: PDF | 27 pages
Integral Calculus por Bangladesh Open University introduces the fundamental concepts of integral calculus, including indefinite and definite integrals. It provides methods of integration and their applications in business and economics.
#17 Integral Calculus
Extension: PDF | 22 pages
Integral Calculus by Dr. Anthony Brown offers a concise introduction to the mechanics of integration. The PDF focuses on practical techniques and the Fundamental Theorem of Calculus, making it valuable for students.
#18 AP Calculus – Integration Practice
Extension: PDF | 10 pages
AP Calculus - Integration Practice por Kansas State University offers a compilation of integration problems covering substitution, by parts, trigonometric substitutions, and partial fractions. It's a valuable resource for honing integration skills through practice.
#19 Integration Rules and Techniques (Article)
Extension: PDF | 6 pages
Integration Rules and Techniques (Article) por Grove City College is a concise reference guide for integral calculus. It outlines basic integration rules, trigonometric substitutions, and approximation techniques, making it a valuable resource for students and practitioners alike.
#20 Methods of Integration (Article)
Extension: PDF | 6 pages
Methods of Integration (Article) por William Gunther. This document concisely presents fundamental integration techniques, including simple rules, u-substitution, and integration by parts, along with illustrative examples. It is a valuable resource for grasping the core methods of integral calculus.
#21 Practice Integration Math 120 Calculus I
Extension: PDF | 5 pages
Practice Integration Math 120 Calculus I by D Joyce offers a valuable collection of indefinite integral exercises. This PDF helps calculus students to solidify their understanding of integration techniques through practice with hints and solutions.
#22 Practice Problems on Integrals. Solutions
Extension: PDF | 5 pages
Practice Problems on Integrals. Solutions por A.J. Hildebrand offers a concise collection of integral calculus problems with detailed solutions, perfect for students seeking targeted practice. This resource strengthens fundamental skills and problem-solving techniques in integral calculus.
#23 Basic Integration Problems
Extension: PDF | 4 pages
Basic Integration Problems por Holland Central School District is a compilation of fundamental integration exercises, perfect for beginners. It provides practice with indefinite and definite integrals, covering polynomial, trigonometric, and exponential functions.
#24 Notes on the Fundamental Theorem of Integral Calculus (Article)
Extension: PDF | 4 pages
Notes on the Fundamental Theorem of Integral Calculus (Article) por Michigan State University provides a concise overview of the Fundamental Theorem, including complex-valued extensions and applications to line integrals. This document offers valuable insights and examples for students seeking a deeper understanding of integral calculus.
#25 Worksheet: Integrals
Extension: PDF | 3 pages
Worksheet: Integrals by Derrick Chung offers a comprehensive collection of indefinite and definite integral problems. It serves as a valuable resource for students to practice and reinforce their understanding of integral calculus techniques.
Here ends our selection of free Integral Calculus books in PDF format. We hope you liked it and already have your next book!
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