Basic Methods of Linear Functional Analysis

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Basic Methods of Linear Functional Analysis by John D. Pryce, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: John D. Pryce ISBN: 9780486173634
Publisher: Dover Publications Publication: May 5, 2014
Imprint: Dover Publications Language: English
Author: John D. Pryce
ISBN: 9780486173634
Publisher: Dover Publications
Publication: May 5, 2014
Imprint: Dover Publications
Language: English

An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.
Subsequent chapters explore the basic results of linear functional analysis: Stone-Weierstrass, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function spaces, the Tychonov and Alaoglu theorems, Hilbert spaces, elementary Fourier analysis, and compact self-adjoint operators applied to Sturm-Liouville theory. "The author has a delightfully lively style which makes the book very readable," noted the Edinburgh Mathematical Society, "and there are numerous interesting and instructive problems."

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.
Subsequent chapters explore the basic results of linear functional analysis: Stone-Weierstrass, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function spaces, the Tychonov and Alaoglu theorems, Hilbert spaces, elementary Fourier analysis, and compact self-adjoint operators applied to Sturm-Liouville theory. "The author has a delightfully lively style which makes the book very readable," noted the Edinburgh Mathematical Society, "and there are numerous interesting and instructive problems."

More books from Dover Publications

Cover of the book Crocheting Teddy Bears by John D. Pryce
Cover of the book The Log Cabin Book by John D. Pryce
Cover of the book Tales of Wise and Foolish Animals by John D. Pryce
Cover of the book The House Beautiful by John D. Pryce
Cover of the book Craftsman Bungalows by John D. Pryce
Cover of the book The Gentleman and Cabinet-Maker's Director by John D. Pryce
Cover of the book Death for Madame by John D. Pryce
Cover of the book Essential French Grammar by John D. Pryce
Cover of the book Geometrical Kaleidoscope by John D. Pryce
Cover of the book My Ántonia by John D. Pryce
Cover of the book Spheroidal Wave Functions by John D. Pryce
Cover of the book Marine Painter's Guide by John D. Pryce
Cover of the book Incidents in the Life of a Slave Girl by John D. Pryce
Cover of the book The Heart of Happy Hollow by John D. Pryce
Cover of the book Flow-Induced Vibrations: An Engineering Guide by John D. Pryce
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy