β Scribed by Ward Cheney (auth.)
No coin nor oath required. For personal study only.
This book evolved from a course at our university for beginning graduate stuΒ dents in mathematics-particularly students who intended to specialize in apΒ plied mathematics. The content of the course made it attractive to other mathΒ ematics students and to graduate students from other disciplines such as enΒ gineering, physics, and computer science. Since the course was designed for two semesters duration, many topics could be included and dealt with in deΒ 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 apΒ 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 benΒ 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.
Front Matter....Pages i-viii
Normed Linear Spaces....Pages 1-60
Hilbert Spaces....Pages 61-114
Calculus in Banach Spaces....Pages 115-169
Basic Approximate Methods in Analysis....Pages 170-245
Distributions....Pages 246-286
The Fourier Transform....Pages 287-332
Additional Topics....Pages 333-380
Measure and Integration....Pages 381-427
Back Matter....Pages 429-447
Applications of Mathematics
π SIMILAR VOLUMES
Excellent deal. Came on very fast. It was in great conditioned as it was mentioned in the listings.
BLECK: <P>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." <P>BULLETIN OF MATHEMATICS BO
This volume contains research and survey articles in the fields of nonlinear analysis and nonlinear differential equations, written by internationally accomplished researchers. The articles reflect the state of the art in these important fields of current research. The volume is dedicated to D.G. de
This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems such as differential equations, boundary value problems, and integral equations. Pragmatic approaches to difficult equations
This revised edition presents the relevant aspects of transformational geometry, matrix algebra, and calculus to those who may be lacking the necessary mathematical foundations of applied multivariate analysis. It brings up-to-date many definitions of mathematical concepts and their operations. It a