Ward Cheney

Analysis for Applied Mathematics

• Broschiertes Buch

Produktbeschreibung

This book evolved from a course at our university for beginning graduate stu dents in mathematics-particularly students who intended to specialize in ap plied mathematics. The content of the course made it attractive to other math ematics students and to graduate students from other disciplines such as en gineering, physics, and computer science. Since the course was designed for two semesters duration, many topics could be included and dealt with in de tail. Chapters 1 through 6 reflect roughly the actual nature of the course, as it was taught over a number of years. The content of the course was dictated by a syllabus governing our preliminary Ph. D. examinations in the subject of ap plied mathematics. That syllabus, in turn, expressed a consensus of the faculty members involved in the applied mathematics program within our department. The text in its present manifestation is my interpretation of that syllabus: my colleagues are blameless for whatever flaws are present and for any inadvertent deviations from the syllabus. The book contains two additional chapters having important material not included in the course: Chapter 8, on measure and integration, is for the ben efit of readers who want a concise presentation of that subject, and Chapter 7 contains some topics closely allied, but peripheral, to the principal thrust of the course. This arrangement of the material deserves some explanation.

Produktdetails

• Graduate Texts in Mathematics 208
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4419-2935-8
• Softcover reprint of hardcover 1st ed. 2001
• Seitenzahl: 456
• Erscheinungstermin: 3. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 25mm
• Gewicht: 686g
• ISBN-13: 9781441929358
• ISBN-10: 1441929355
• Artikelnr.: 32185710

Inhaltsangabe

1 Normed Linear Spaces.- 2 Hilbert Spaces.- 3 Calculus in Banach Spaces.- 4 Basic Approximate Methods of Analysis.- 5 Distributions.- 6 The Fourier Transform.- 7 Additional Topics.- 8 Measure and Integration.- References.- Symbols.

Rezensionen

From the reviews: BULLETIN OF MATHEMATICS BOOKS "This text is written with the usual elegance and orderly style that we have come to expect from this author. Topics are presented in a clear and logical manner, and the text is rich with important and interesting content...This text is well worth considering in any program in applied mathematics, and also by anyone seeking a valuable reference in analysis and its applications." SIAM REVIEW "The book succeeds well in providing a sound basis in analysis beyond that which most students will have received as undergraduates...Overall, this text serves as a wonderful introduction to ...useful... analysis for new applied mathematicians." MATHEMATICAL REVIEWS "The author describes this marvelous book as designed for beginning graduate students in mathematics ... in particular for those who intend to specialize in applied mathematics, and for graduate students in other disciplines such as engineering, physics and computer science...Those who are familiar with the author's earlier books will not be surprised by its excellence. It is business-like and will be found to be demanding, but it is user-friendly. It is the reviewer's opinion that it will be extremely useful and popular as a text; institutions that do not already require their students to take such a course no longer have an excuse, and should immediately organize one based on this book...The author gives a rigorous discussion of a very large number of topics. Careful definitions and clearly stated theorems are given...The writing in clear and readable throughout, with a pleasant and friendly style...it is the reviewer's view that the author has presented a rich harvest of useful and interesting analysis in a splendid manner."