Integral Calculus by Joel Feldman, Rechnitzer and 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, open-access textbook crafted specifically for second-semester university calculus courses. Designed to build deep conceptual comprehension alongside procedural fluency, this textbook guides students smoothly through Riemann sums, integration techniques, and physical applications without overwhelming them with unnecessary abstraction or tedious jargon, making it an ideal companion for structured calculus self study.
The narrative progresses systematically from definite integrals and the Fundamental Theorem of Calculus to advanced integration methodologies, improper integrals, sequences, and infinite series. By incorporating worked examples alongside carefully scaffolded practice problems, Feldman equips learners with practical analytical strategies to solve complex geometric areas, volumes of revolution, and step-by-step improper integral problems with complete analytical confidence and precision.
Highly praised across higher education institutions for its modern pedagogical clarity, this student-focused calculus text serves as an indispensable reference for science, engineering, and mathematics majors. Feldman’s intuitive structural framework empowers students to develop lasting spatial reasoning skills and master essential infinite series convergence tests required for advanced STEM coursework.
Book Details & Specifications
Title:
Integral Calculus by Joel Feldman, Rechnitzer and Yeager
Publisher:
University of British Columbia (UBC)
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
is a distinguished Professor Emeritus of Mathematics at the University of British Columbia (UBC). Renowned for his research in mathematical physics and constructive quantum field theory, he has devoted decades to enhancing undergraduate mathematics education through accessible textbook design.
Co-authoring UBC's flagship open calculus textbooks, Feldman actively advocates for high-quality, open-educational resources. His ongoing contributions remain a major benchmark for academic educators modernizing university open access mathematics curricula and learning tools globally.
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