Integral Calculus by Feldman, Rechnitzer, Yeager
Integral Calculus - Table of Contents
1. Integration
2. Applications of Integration
3. Sequence and series
4. A High School Material
5. Complex Numbers and Exponentials
6. More About Numerical Integration
7. Numerical Solution of ODE’s
8. Hints for Exercises
9. Answers to Exercises
10. Solutions to Exercises
What You Will Learn in Integral Calculus
"Integral Calculus" by Joel Feldman, Andrew Rechnitzer, and Elyse Yeager is a comprehensive and student-friendly textbook focusing on single-variable "integration". Designed for undergraduate science and engineering students, it provides clear explanations of core "integral calculus" concepts, bridging theory and practical applications. The text begins with the fundamentals of "definite and indefinite integrals", introducing key properties, definitions, and notation to ensure a solid understanding of integration principles.
The book covers a wide range of "integration techniques", including substitution, integration by parts, trigonometric integrals, and partial fraction decomposition. It also explores practical applications, such as computing areas, volumes, and averages, along with numerical integration methods and improper integrals. Each topic is presented with worked examples, step-by-step explanations, and exercises that help students build problem-solving skills and confidence in applying the methods to various calculus problems.
Beyond standard integration, the text includes sections connecting "integral calculus" to sequences, series, and convergence tests, providing a broader perspective for students advancing to more complex mathematical topics. Its structured layout, emphasis on examples, and carefully designed exercises make it ideal for self-study or classroom use. Overall, Feldman, Rechnitzer, and Yeager’s guide is a thorough, practical resource that equips students with both the theoretical understanding and applied skills necessary to master "integral calculus" effectively.
Book Details & Specifications
Title:
Integral Calculus by Feldman, Rechnitzer, Yeager
Publisher:
Commons Attribution-NonCommercial-ShareAlike 4.0
Year:
2022
Pages:
1244
Type:
PDF
Language:
English
ISBN-10 #:
812690559X
ISBN-13 #:
978-8126905591
License:
CC BY-NC-SA 4.0
Amazon:
Amazon
About the Author: Joel Feldman, Andrew Rechnitzer and Elyse Yeager
The author
Joel Feldman, Andrew Rechnitzer and Elyse Yeager
are faculty members at the "University of British Columbia". They co-authored the "CLP Calculus" series, including "Integral Calculus", to provide accessible, high-quality resources for university students. Their expertise includes "integral calculus", "mathematics education", "calculus instruction", "integration techniques", and applied problem solving. The textbook emphasizes step-by-step explanations, exercises, and real-world applications, helping learners build strong understanding and practical skills. Their work is widely used in academic courses and self-study for mastering "calculus concepts".
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