May 1, 2024
Updated May 12, 2025
20 minute read
At a high level, a sequence is an ordered list of numbers, while a series is the sum of the terms in a sequence. Think of a sequence as individual stepping stones laid out in a path, and a series as the total length of that path. These concepts are fundamental in mathematics, appearing in various branches from calculus to discrete mathematics and beyond. Even if you haven't formally studied them, you've likely encountered sequences in everyday life, such as the pattern of house numbers on a street or the regular increase in your savings if you deposit a fixed amount each month.
dbcp33|
Find a path to becoming a Sequences and Series. Learn more at:
OpenCourser.com/topic/dbcp33/sequences
Reading list
We've selected 12 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Sequences and Series.
Provides a rigorous and comprehensive introduction to real analysis, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a deep understanding of the subject.
Provides a comprehensive and rigorous introduction to mathematical analysis, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a strong foundation in the subject.
Provides a comprehensive and rigorous introduction to real analysis, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a strong foundation in the subject.
Provides a rigorous and comprehensive introduction to complex analysis, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a strong foundation in the subject.
Provides a rigorous and comprehensive introduction to vector calculus, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a strong foundation in the subject.
Provides a rigorous and comprehensive introduction to partial differential equations, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a strong foundation in the subject.
Provides a rigorous and comprehensive introduction to Fourier analysis, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a strong foundation in the subject.
Provides a rigorous and comprehensive introduction to real analysis, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a deep understanding of the subject.
Provides a rigorous and comprehensive introduction to multivariable calculus, including topics such as sequences, series, and limits. It is an excellent resource for students and researchers who wish to develop a strong foundation in the subject.
Provides a clear and accessible introduction to real analysis, including topics such as sequences, series, and limits. It is an excellent resource for students who are new to the subject or who wish to brush up on their understanding.
Provides a rigorous and concise introduction to real analysis, including topics such as sequences, series, and limits. It is an excellent resource for students who are new to the subject or who wish to brush up on their understanding.
Provides a rigorous and accessible introduction to discrete mathematics, including topics such as sequences, series, and combinatorics. It is particularly well-suited for students and researchers in computer science and related fields.
For more information about how these books relate to this course, visit:
OpenCourser.com/topic/dbcp33/sequences
Save
