An Introduction to Fourier Series and Integrals by Robert T. Seeley download in iPad, ePub, pdf
The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. One can use a semester covering the book, and the students will be well-grounded in the basics and ready for any of a dozen possible second semesters.
This one-shot approach works for bounded or unbounded functions and for sets of finite or infinite measure. The short chapter on Lebesgue integration is refreshing and easily understood.
Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Many readers of the successful first edition would agree that he achieves this goal. The author writes with concision, clarity, and focus.
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. The principal change in this edition is the simplified definition of the integral.
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