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Power Series

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May 1, 2024 2 minute read

Power series, also known as Taylor series or Maclaurin series, are an essential tool in mathematics. They are used to represent functions as an infinite sum of terms, each of which is a power of a variable. Power series are widely used in a variety of fields, including calculus, physics, engineering, and computer science.

What is a Power Series?

A power series is an infinite sum of the form

Σ_n=0^∞ a_n(x - c)ⁿ

Path to Power Series

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We've curated six courses to help you on your path to Power Series. Use these to develop your skills, build background knowledge, and put what you learn to practice.

Sorted from most relevant to least relevant:

Single Variable Calculus

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Advanced Calculus of Higher Mathematics

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Mathematical and Computational Methods

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Differential Equations Part II Series Solutions

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Introduction to Fourier Transform and Spectral Analysis

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Introduction to Complex Analysis

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Reading list

We've selected seven 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 Power Series.

Механика в СССР за 50 лет

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This textbook, authored by a prominent Soviet mathematician, provides a comprehensive exploration of functions of a complex variable, including infinite series and power series.

Механика в СССР за 50 лет

Paperback

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Механика в СССР за 50 лет

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Modern Algebra with Applications

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Introduces the topic of power series and discusses basic properties, convergence tests, and applications to real and complex analysis.

Modern Algebra with Applications

Hardcover

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Modern Algebra with Applications

Paperback

Space-Filling Curves

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Provides an in-depth look at the theory of power series, including the theory of analytic functions, with convergence and divergence tests, and connections to differential equations, number theory, and complex variable calculus.

Navier-Stokes Equations and Turbulence

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Focuses on power series and their applications to partial differential equations, giving an extensive view of different numerical methods used to analyze these equations.

Navier-Stokes Equations and Turbulence...

Paperback

Navier-Stokes Equations and Turbulence...

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Navier-Stokes Equations and Turbulence...

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