Author: R. E. Edwards
Publisher: Springer Science & Business Media
ISBN: 1461381568
Category : Mathematics
Languages : en
Pages : 381
Get Book Here
Book Description
appear in Volume 1, a Roman numeral "I" has been prefixed as a reminder to the reader; thus, for example, "I,B.2.1 " refers to Appendix B.2.1 in Volume 1. An understanding of the main topics discussed in this book does not, I hope, hinge upon repeated consultation of the items listed in the bibli ography. Readers with a limited aim should find strictly necessary only an occasional reference to a few of the book listed. The remaining items, and especially the numerous research papers mentioned, are listed as an aid to those readers who wish to pursue the subject beyond the limits reached in this book; such readers must be prepared to make the very considerable effort called for in making an acquaintance with current research literature. A few of the research papers listed cover devel opments that came to my notice too late for mention in the main text. For this reason, any attempted summary in the main text of the current standing of a research problem should be supplemented by an examin ation of the bibliography and by scrutiny of the usual review literature.
Author: Robert E. Edwards
Publisher:
ISBN:
Category : Fourier series
Languages : en
Pages : 392
Get Book Here
Book Description
Author: R.E. Edwards
Publisher: Springer
ISBN: 9781461262107
Category : Mathematics
Languages : en
Pages : 228
Get Book Here
Book Description
The principal aim in writing this book has been to provide an intro duction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modem techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of modem concepts and techniques is, in fact, as wide spread as is deemed to be compatible with the desire that the book shall be useful to senior undergraduates and beginning graduate students, for whom it may perhaps serve as preparation for Rudin's Harmonic Analysis on Groups and the promised 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 pointwise con vergence 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. Moreover, the famous treatises by Zygmund and by Baryon trigonometric series cover these aspects in great detail, wl:tile leaving some gaps in the presentation of the modern viewpoint; the same is true of the more elementary account given by Tolstov. Likewise, and again for reasons discussed in Chapter 1, trigonometric series in general form no part of the program attempted.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
Get Book Here
Book Description
Author: R. E Edwards
Publisher:
ISBN:
Category : Fourier series
Languages : en
Pages :
Get Book Here
Book Description
Author: Robert E. Edwards
Publisher:
ISBN:
Category :
Languages : en
Pages : 318
Get Book Here
Book Description
Author: Robert Edmund Edwards
Publisher:
ISBN:
Category :
Languages : en
Pages : 224
Get Book Here
Book Description
Author: Robert E. Edwards
Publisher:
ISBN:
Category : Fourier series
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Robert E. Edwards
Publisher:
ISBN:
Category : Fourier series
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Howard J. Wilcox
Publisher: Courier Corporation
ISBN: 0486137473
Category : Mathematics
Languages : en
Pages : 194
Get Book Here
Book Description
This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.
