May 1, 2024
4 minute read
Derivatives are one of the core pillars of calculus, which is a branch of mathematics that deals with change and rates of change. In everyday life, we often observe things changing, such as the movement of objects, the growth of plants, or the flow of fluids. Understanding and analyzing these changes accurately is essential in science, engineering, and various other fields.
What are Derivatives?
A derivative is a mathematical tool that measures the rate of change of a function with respect to its independent variable. In other words, it measures how fast a function is changing as its input changes. In practical terms, if you have data on how something changes over time, such as the position of a moving object or the temperature of a fluid, you can use derivatives to determine its speed or its rate of cooling.
Why Learn Derivatives?
There are several reasons why individuals might want to learn about derivatives.
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Find a path to becoming a Derivative. Learn more at:
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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
Derivative.
This textbook provides a comprehensive overview of the fundamental concepts of calculus, including derivatives. It is written in a clear and concise style, making it suitable for both beginners and advanced students. Stewart highly respected mathematician who has received numerous awards for his work in calculus.
Provides a comprehensive treatment of real analysis, including the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Stein National Medal of Science winner and one of the most influential mathematicians of the 20th century.
Provides a comprehensive treatment of advanced calculus, including the theory of derivatives. It is intended for advanced students who have a strong background in calculus. Dyke highly respected mathematician who has written extensively on calculus.
Provides a rigorous and in-depth treatment of calculus, including the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Körner highly respected mathematician who has written extensively on calculus.
Provides a comprehensive treatment of the calculus of variations, which generalization of the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Gelfand Fields Medalist and one of the most influential mathematicians of the 20th century.
Provides a comprehensive treatment of partial differential equations, which generalization of the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Evans Fields Medalist and one of the most influential mathematicians of the 21st century.
Provides a comprehensive treatment of measure theory and integration, which generalization of the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. de Rham Fields Medalist and one of the most influential mathematicians of the 20th century.
Provides a comprehensive treatment of complex analysis, which generalization of the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Stein National Medal of Science winner and one of the most influential mathematicians of the 20th century.
Provides a comprehensive treatment of algebraic geometry, which generalization of the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Hartshorne highly respected mathematician who has written extensively on algebraic geometry.
Provides a comprehensive treatment of topology, which generalization of the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Munkres highly respected mathematician who has written extensively on topology.
Provides a comprehensive treatment of mathematical tools for physicists, including the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Grinfeld highly respected mathematician who has written extensively on mathematical tools for physicists.
Provides a comprehensive treatment of applied mathematics, including the theory of derivatives. It is intended for advanced students who have a strong background in mathematics. Brown and Churchill are highly respected mathematicians who have written extensively on applied mathematics.
For more information about how these books relate to this course, visit:
OpenCourser.com/topic/p5uh6s/derivativ
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