How Long to Read Partial Differential Equations

How Long Does it Take to Read Partial Differential Equations?

It takes the average reader 7 hours and 48 minutes to read Partial Differential Equations by Wolfgang Arendt

Assuming a reading speed of 250 words per minute. Learn more

Description

This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with MapleTM completes the book. Throughout, three fundamental examples are studied with different tools: Poisson’s equation, the heat equation, and the wave equation on Euclidean domains. The Black–Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.

How long is Partial Differential Equations?

Partial Differential Equations by Wolfgang Arendt is 463 pages long, and a total of 117,139 words.

This makes it 156% the length of the average book. It also has 143% more words than the average book.

How Long Does it Take to Read Partial Differential Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 40 minutes to read Partial Differential Equations aloud.

What Reading Level is Partial Differential Equations?

Partial Differential Equations is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Partial Differential Equations?

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