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Algebra & Algorithms

Дмитрий Ильинский and Alex Dainiak
Algebra is one of the definitive and oldest branches of mathematics, and design of computer algorithms is one of the youngest. Despite this generation gap, the two disciplines beautifully interweave. Firstly, modern computers would be somewhat useless if they...
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Algebra is one of the definitive and oldest branches of mathematics, and design of computer algorithms is one of the youngest. Despite this generation gap, the two disciplines beautifully interweave. Firstly, modern computers would be somewhat useless if they were not able to carry out arithmetic and algebraic computations efficiently, so we need to think on dedicated, sometimes rather sophisticated algorithms for these operations. Secondly, algebraic structures and theorems can help develop algorithms for things having [at first glance] nothing to do with algebra, e.g. graph algorithms. One of the main goals of the offered course is thus providing the learners with the examples of the above mentioned situations. We believe the course to contain much material of interest to both CS and Math oriented students. The course is supported by programming assignments.
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Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Focuses on how Algebra can impact modern computer science, specifically algorithms
Taught by recognized Algebra and algorithm design experts: Dmitry Ilyinsky and Alex Dainiak
Includes programming assignments to provide hands-on experience
Designed for both Computer Science and Mathematics students
Provides a unique perspective on the relationship between Algebra and algorithms

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Reviews summary

Interesting algebra & algorithms

This course on Algebra and Algorithms has been well received by its learners. One reviewer commented that the materials were interesting.
The course has good materials.
"Хороший материал, было интересно"

Activities

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Career center

Learners who complete Algebra & Algorithms will develop knowledge and skills that may be useful to these careers:
Mathematician
Mathematicians research and develop new mathematical theories and applications. This course provides a strong foundation in algebra, which is essential for understanding the theoretical underpinnings of mathematics.
Computer Scientist
Computer Scientists research and develop new computer technologies and applications. This course provides a foundation in algebra and algorithms, which are essential for understanding the theoretical underpinnings of computer science.
Operations Research Analyst
Operations Research Analysts use mathematical and statistical techniques to solve complex problems in business and industry. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in operations research.
Data Analyst
Data Analysts use mathematical and statistical techniques to analyze data and identify trends and patterns. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in data analysis.
Financial Analyst
Financial Analysts use mathematical and statistical techniques to analyze financial data and make investment decisions. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in financial analysis.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical techniques to analyze financial data and make investment decisions. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in quantitative finance.
Actuary
Actuaries use mathematical and statistical techniques to assess risk and uncertainty. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in actuarial science.
Market Researcher
Market Researchers use mathematical and statistical techniques to collect, analyze, and interpret data about consumer behavior. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in market research.
Business Analyst
Business Analysts use mathematical and statistical techniques to analyze business data and make recommendations for improvement. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in business analysis.
Statistician
Statisticians use mathematical and statistical techniques to collect, analyze, and interpret data. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in statistics.
Data Scientist
Data Scientists use mathematical and statistical techniques to extract knowledge from data. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in data science.
Risk Manager
Risk Managers use mathematical and statistical techniques to assess and manage risk. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in risk management.
Epidemiologist
Epidemiologists use mathematical and statistical techniques to study the causes and spread of disease. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in epidemiology.
Biostatistician
Biostatisticians use mathematical and statistical techniques to analyze data in the field of biology. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in biostatistics.
Software Engineer
Software Engineers design, develop, test, and maintain computer software. This course provides a foundation in algebra and algorithms, which are essential for understanding the theoretical underpinnings of software design and development.

Reading list

We've selected 14 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 Algebra & Algorithms.
Provides a comprehensive introduction to algebra, covering topics such as groups, rings, fields, and modules. It valuable resource for students who want to learn more about the foundations of algebra.
Provides a comprehensive introduction to algorithms, covering topics such as sorting, searching, graph algorithms, and dynamic programming. It valuable resource for students who want to learn more about the design and analysis of algorithms.
Provides a comprehensive introduction to algebraic geometry, covering topics such as schemes, varieties, and sheaves. It valuable resource for students who want to learn more about the foundations of algebraic geometry.
Provides a comprehensive introduction to modern algebra, covering topics such as groups, rings, fields, and modules. It valuable resource for students who want to learn more about the foundations of modern algebra.
Provides a comprehensive introduction to algorithms and data structures, covering topics such as sorting, searching, graph algorithms, and dynamic programming. It valuable resource for students who want to learn more about the design and analysis of algorithms and data structures.
Provides a comprehensive introduction to computer algebra, covering topics such as polynomials, matrices, and Gröbner bases. It valuable resource for students who want to learn more about the applications of algebra to computer science.
Provides a comprehensive introduction to category theory, covering topics such as categories, functors, and natural transformations. It valuable resource for students who want to learn more about the foundations of category theory.
Provides a comprehensive introduction to graph theory, covering topics such as graphs, trees, and matrices. It valuable resource for students who want to learn more about the foundations of graph theory.
Provides a comprehensive introduction to number theory, covering topics such as integers, primes, and factorization. It valuable resource for students who want to learn more about the foundations of number theory.
Provides a comprehensive introduction to set theory, covering topics such as sets, functions, and cardinals. It valuable resource for students who want to learn more about the foundations of set theory.
Provides a comprehensive introduction to topology, covering topics such as sets, functions, and topological spaces. It valuable resource for students who want to learn more about the foundations of topology.
Provides a comprehensive introduction to linear algebra, covering topics such as vectors, matrices, and determinants. It valuable resource for students who want to learn more about the foundations of linear algebra.
Provides a comprehensive introduction to calculus, covering topics such as derivatives, integrals, and differential equations. It valuable resource for students who want to learn more about the foundations of calculus.
Provides a comprehensive introduction to discrete mathematics, covering topics such as sets, functions, and graphs. It valuable resource for students who want to learn more about the foundations of discrete mathematics.

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