Fourier Series: A Modern Introduction, Volume I by R. E. Edwards (1967 1st Hardcover w/ DJ) Author : Robert Edmund Edwards (1926–2000) Publisher: Holt, Rinehart Winston, Inc. New York, NY U.S.A. 1967 A modern presentation of Fourier series which uniquely does not emphasize point-wise convergence and summability nor trigonometric series in general form. The principal aim of this book has been to provide an introduction, barely more, to some aspects of Fourier series and related topics liberally using modem techniques. This guides the reader toward problems of current interest in harmonic analysis generally. The use of modem concepts and techniques is as wide spread as was deemed to be compatible with a presentation that is aimed toward senior undergraduates and beginning graduate students. Presentation is designed as preparation for material in Rudin's "Harmonic Analysis on Groups" and the 1971 second volume of Hewitt and Ross's "Abstract Harmonic Analysis." The emphasis on modem techniques and outlook has affected not only the type of arguments favored, but also to a considerable extent the choice of material. Above all, it has led to a minimal treatment of point-wise convergence and summability: as is argued in Chapter 1, Fourier series are not necessarily seen in their best or most natural role through "pointwise-tinted spectacles." Volume I was designed to provide material of a one semester course in the subject. Robert Edmund Edwards (1926–2000), usually cited simply as R. E. Edwards, was a British-born Australian mathematician who specialized in functional analysis. He is the author of several volumes (including 2nd Edition of this title) in Springer's Graduate Texts in Mathematics. Hardcover with tan and black cloth boards with B W lettering on front spine in good dust jacket with design matching covers. Dust Jacket has closed tears, good minus condition. Interior is tight, clean and unmarked except for ownership stamp of individual on rfep. Near Fine text. Size: 8vo - over 7 - 9" tall, 208pp Condition: Very Good Hardcover in DJ - Always Privately Owned 1st Edition. Copyright 1967. Full print-line indicates 1st printing. Printed in U.S.A. HRW catalog: 262003. No ISBN. LCCN: 67-11745. No MSR. Notes on Condition/Edition ratings: Fine – means like new, but any book produced over 10 years ago isn't “brand new” or even “new.” Booksellers needed some word to describe this... Like New – A new book, no marks no damage (except maybe remainder marks or shelf-wear) except not obtained directly from the publisher or in packaging from the publisher. Very Good – How you or I might take care of a book, closer to “as new” than standard. Might show ownership. Good – How someone else might take care of a book. Also referred to as “standard.” This is the most likely condition for books of this age title, shows the book has been read or previously owned. Acceptable – How a child, student or a librarian might take care of a book. (Either trying to make sure someone doesn't steal it by plastering ownership everywhere, filled it with copious notes or a book that has been damaged.) Poor – Combination of “acceptable” factors above. Most likely with water damage as well. Might have missing pages (you should ask). Near – Means “almost” in an optimistic sense. e.g., “Near Fine” means very good, but on the high end. 1st Thus – Unique somehow, maybe 1st paperback, new illustrator, misprint or even the 1st edition. A collector might desire this copy. Thanks for looking!