Description
Numerous worked examples and exercises highlight this unified treatment of the Hermitian operator theory in its Hilbert space setting. Its simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide.
Featuring full discussions of first and second order linear differential equations, the text introduces the fundamentals of Hilbert space theory and Hermitian differential operators. It derives the eigenvalues and eigenfunctions of classical Hermitian differential operators, develops the general theory of orthogonal bases in Hilbert space, and offers a comprehensive account of Schr dinger's equations. In addition, it surveys the Fourier transform as a unitary operator and demonstrates the use of various differentiation and integration techniques.
Samuel S. Holland, Jr. is a professor of mathematics at the University of Massachusetts, Amherst. He has kept this text accessible to undergraduates by omitting proofs of some theorems but maintaining the core ideas of crucially important results. Intuitively appealing to students in applied mathematics, physics, and engineering, this volume is also a fine reference for applied mathematicians, physicists, and theoretical engineers.
Author: Samuel S. Holland
Publisher: Dover Publications
Published: 06/05/2007
Pages: 560
Binding Type: Paperback
Weight: 1.30lbs
Size: 8.52h x 5.79w x 1.10d
ISBN13: 9780486458014
ISBN10: 0486458016
BISAC Categories:
- Mathematics | Differential Equations | General
Featuring full discussions of first and second order linear differential equations, the text introduces the fundamentals of Hilbert space theory and Hermitian differential operators. It derives the eigenvalues and eigenfunctions of classical Hermitian differential operators, develops the general theory of orthogonal bases in Hilbert space, and offers a comprehensive account of Schr dinger's equations. In addition, it surveys the Fourier transform as a unitary operator and demonstrates the use of various differentiation and integration techniques.
Samuel S. Holland, Jr. is a professor of mathematics at the University of Massachusetts, Amherst. He has kept this text accessible to undergraduates by omitting proofs of some theorems but maintaining the core ideas of crucially important results. Intuitively appealing to students in applied mathematics, physics, and engineering, this volume is also a fine reference for applied mathematicians, physicists, and theoretical engineers.
Author: Samuel S. Holland
Publisher: Dover Publications
Published: 06/05/2007
Pages: 560
Binding Type: Paperback
Weight: 1.30lbs
Size: 8.52h x 5.79w x 1.10d
ISBN13: 9780486458014
ISBN10: 0486458016
BISAC Categories:
- Mathematics | Differential Equations | General
About the Author
Samuel S. Holland, Jr., is a professor of mathematics at the University of Massachusetts, Amherst.
This title is not returnable