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Groups

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May 1, 2024 Updated July 6, 2025 13 minute read

Groups are a fundamental concept in computer science and software engineering. They are used to organize and manage data, and they play an important role in many different data structures and algorithms. Understanding groups can be essential for success in any computing field, and there are many online courses available to help learners get started.

Why Learn About Groups?

There are many reasons to learn about groups. First, groups are used in many different areas of computer science, including:

Path to Groups

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We've curated ten courses to help you on your path to Groups. Use these to develop your skills, build background knowledge, and put what you learn to practice.
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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 Groups.
This advanced textbook covers a wide range of topics in algebra, including groups, rings, fields, and modules. It valuable resource for students who want to learn more about the subject.
This textbook provides a comprehensive introduction to Lie groups, Lie algebras, and representations. It is written in a clear and concise style, with numerous examples and exercises to help students understand the concepts.
This textbook provides a comprehensive introduction to category theory. It is written in a clear and concise style, with numerous examples and exercises to help students understand the concepts.
This textbook provides a comprehensive introduction to analytic number theory. It covers the basic concepts of analytic number theory, as well as a number of applications of analytic number theory to other areas of mathematics.
This textbook provides a comprehensive introduction to permutation groups. It covers the basic concepts of permutation groups, as well as a number of advanced topics, such as the representation theory of permutation groups.
This textbook provides a comprehensive introduction to algebraic topology. It covers the basic concepts of homology and cohomology, as well as a number of applications of algebraic topology to other areas of mathematics.
This textbook introduces abstract algebra through the study of groups and symmetry. It unique approach that helps students understand the abstract concepts of algebra through concrete examples from geometry.
This textbook provides a comprehensive introduction to homological algebra. It covers the basic concepts of homological algebra, as well as a number of applications of homological algebra to other areas of mathematics.
This textbook provides a comprehensive introduction to representation theory. It covers the basic concepts of representation theory, as well as a number of applications of representation theory to other areas of mathematics.
This textbook provides a comprehensive introduction to algebraic number theory. It covers the basic concepts of algebraic number theory, as well as a number of applications of algebraic number theory to other areas of mathematics.
This textbook provides a comprehensive introduction to elliptic curves. It covers the basic concepts of elliptic curves, as well as a number of applications of elliptic curves to other areas of mathematics.
This textbook provides a comprehensive introduction to group theory. It covers the basic concepts of groups, subgroups, homomorphisms, and factor groups. It also includes a number of applications of group theory to other areas of mathematics.
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