Functions, Spaces, and Expansions

Download or read book Functions, Spaces, and Expansions written by Ole Christensen and published by Springer Science & Business Media. This book was released on 2010-05-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.