Normed Linear Spaces
Author: Mahlon M. Day
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 222
ISBN-13: 3662090007
DOWNLOAD EBOOKRead and Download eBook Full
Author: Mahlon M. Day
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 222
ISBN-13: 3662090007
DOWNLOAD EBOOKAuthor: Rodney Coleman
Publisher: Springer Science & Business Media
Published: 2012-07-25
Total Pages: 255
ISBN-13: 1461438942
DOWNLOAD EBOOKThis book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.
Author: J. R. Giles
Publisher: Cambridge University Press
Published: 2000-03-13
Total Pages: 298
ISBN-13: 9780521653756
DOWNLOAD EBOOKThis is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. The reader need only be familiarity with elementary real and complex analysis, linear algebra and have studied a course in the analysis of metric spaces; knowledge of integration theory or general topology is not required. The text concerns the structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. The implications of the general theory are illustrated with a great variety of example spaces.
Author:
Publisher: Elsevier
Published: 2011-10-10
Total Pages: 321
ISBN-13: 0080871798
DOWNLOAD EBOOKIntroduction to Banach Spaces and their Geometry
Author: E. Suhubi
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 702
ISBN-13: 9401701415
DOWNLOAD EBOOKFunctional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with certain properties, which map one set into another. Functional analysis became one of the success stories of mathematics in the 20th century, in the search for generality and unification.
Author: Jacob Korevaar
Publisher:
Published: 1968
Total Pages: 528
ISBN-13:
DOWNLOAD EBOOKAuthor: Raymond W. Freese
Publisher: Nova Publishers
Published: 2001
Total Pages: 314
ISBN-13: 9781590330197
DOWNLOAD EBOOKAuthor: Tsoy-Wo Ma
Publisher: World Scientific
Published: 1995
Total Pages: 378
ISBN-13: 9789810221379
DOWNLOAD EBOOKThis book provides an elementary introduction to the classical analysis on normed spaces, paying special attention to nonlinear topics such as fixed points, calculus and ordinary differential equations. It is aimed at beginners who want to get through the basic material as soon as possible and then move on to do their own research immediately. It assumes only general knowledge in finite-dimensional linear algebra, simple calculus and elementary complex analysis. Since the treatment is self-contained with sufficient details, even an undergraduate with mathematical maturity should have no problem working through it alone. Various chapters can be integrated into parts of a Master degree program by course work organized by any regional university. Restricted to finite-dimensional spaces rather than normed spaces, selected chapters can be used for a course in advanced calculus. Engineers and physicists may find this book a handy reference in classical analysis.
Author: M. J. D. Powell
Publisher: Cambridge University Press
Published: 1981-03-31
Total Pages: 356
ISBN-13: 9780521295147
DOWNLOAD EBOOKMost functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
Author: Robert Gardner Bartle
Publisher: American Mathematical Soc.
Published: 1986
Total Pages: 186
ISBN-13: 0821850571
DOWNLOAD EBOOKFeatures 17 papers that resulted from a 1983 conference held to honor Professor Mahlon Marsh Day upon his retirement from the University of Illinois. This work is suitable for researchers and graduate students in functional analysis.