Fourier Analysis
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
List Price: $99.95 (Final bulk discount pricing is based on quantity)
ISBN: 9781400831234
Uh oh. It looks like this title is out of stock.
Did you know eBooks never run out? It's true. We have millions of titles available right now. You can download an eBook in seconds.

Why eBooks are the Smart Way to Go

Deep bulk discounts and $0 in shipping costs means you save big with bulk eBooks. Plus, eBooks are typically cheaper than print books.
Distribute your eBooks via text message, email, social media, and more using redeemable eBook codes. Users can get their eBook instantly.
Receive Readership Analytics & Redemption Reports for proven engagement and user data, including name and email address.
Read from the convenience of our web reader or download the BookShout app on your favorite smart device to read anywhere.
Want to make the smart switch to eBooks? CLICK HERE
Not convinced yet? No problem. We can still get you the print books you need. Fill out the request form below and a member of our sales team will be in touch quickly.

Request Bulk Purchase:
Book Format*
Book Quantity*
How will the books be used?*

Interested in Gift Cards?
9781400831234 medium Bulk gift card c973c6294bb562c572cc09448c6304915953cb77b337c63c74b0d98ee2f3afc7
Plastic Cards are standard Gift Card Size (3.375” x 2.125”). Cards can include scratch-offs over the redemption code. Cost less than distributing/shipping Print books. Great for Events, Churches, Schools, Authors, etc.