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X Your selection has been added to the cart. Continue Shopping Checkout IMPORTANT NOTICE: Orders will not be accepted on the AMS Bookstore between 5/13/2017 9:00AM EDT - 5/15/2017 10AM EDT due to site maintenance. -- Go Advanced Search · My Bookshelf · My Cart The AMS Bookstore is open, but rapid changes related to the spread of COVID-19 may cause delays in delivery services for print products. Know that ebook versions of most of our titles are still available and may be downloaded soon after purchase. AMS Homepage Browse Bookstore MAA Press Books Books on Sale Textbooks Book Series AMS eBook Collections Join our email list Sign up Now Available for Pre-order: Differential Calculus in Normed Linear Spaces: Second Edition Base Product Code Keyword List: hin/17 ; HIN/17 ; hin ; HIN ; hin/17.r ; HIN/17.R ; hin-17.r ; HIN-17.R ; hin-17 ; HIN-17 ; hin-17-r ; HIN-17-R Print Product Code: HIN/17.R Title (HTML): Differential Calculus in Normed Linear Spaces: Second Edition Author(s) (Product display): Kalyan Mukherjea Affiliation(s) (HTML): Indian Statistical Institute, Kolkata, India Publisher Blurb: A publication of Hindustan Book Agency Custom URL: hin-17-r Abstract: This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces. Not only does this lead to a simplified and transparent exposition of “difficult” results like the Inverse and Implicit Function Theorems but also permits, without any extra effort, a discussion of the Differential Calculus of functions defined on infinite dimensional Hilbert or Banach spaces. The prerequisites demanded of the reader are modest: a sound understanding of convergence of sequences and series of real numbers, the continuity and differentiability properties of functions of a real variable, and a little Linear Algebra should provide adequate background for understanding the book. The first two chapters cover much of the more advanced background material on Linear Algebra (like dual spaces, multilinear functions and tensor products). Chapter 3 gives an ab initio exposition of the basic results concerning the topology of metric spaces, particularly of normed linear spaces. The last chapter deals with miscellaneous applications of the Differential Calculus, including an introduction to the Calculus of Variations. As a corollary to this, there is a brief discussion of geodesics in Euclidean and hyperbolic planes and non-Euclidean geometry. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20&percnt for all commercial channels. Book Series Name: Hindustan Book Agency Volume: 17 Publication Month and Year: 2007-08-15 Copyright Year: 2007 Page Count: 300 Cover Type: Softcover Print ISBN-13: 978-81-85931-76-0 Primary MSC: 26 Textbook?: false Applied Math?: false MAA Book?: false Electronic Media?: false Apparel or Gift: false Publisher (non-AMS): Hindustan Book Agency SXG Subject: AN Print Price 1 Label: List Print Price 1: 44.00 Print Price 2 Label: AMS Member Print Price 2: 35.20 Print Add to Cart URL: /some/url/at/AMS/HIN-17.R Print Available to Order: true Review Copy: https://www.ams.org/exam-desk-review-request?&pisbn=978-81-85931-76-0&ppc=HIN/17.R&title=Differential%20Calculus%20in%20Normed%20Linear%20Spaces%3A%20Second%20Edition&author=Kalyan%20Mukherjea&type=R Readership: Graduate students and research mathematicians interested in differential calculus. Reviews: Praise for the First Edition … ... at this sort of level it could form the backbone for an excellent course in analysis. ... Institutional use apart, please read this remarkable, striking and original book. -- The Mathematical Gazette Cover Image URL: /covers/~~FreeAttachments/hin-generic-cov.jpg Open Math Notes Open Math Notes is a repository of freely downloadable mathematical works in progress--including course notes, textbooks, and research expositions--provided as a service to researchers, teachers and students. Learn More Summer eBook Sale We're extending our sale! To help you succeed, whether you are teaching or conducting research remotely, or just looking for a good book to read at home, all AMS eBooks will be 50% off list price through August 31. Learn More Free Member eBook Dues-paying AMS members get one FREE AMS eBook per calendar year. Simply place an eBook in your shopping cart, log in with your AMS credentials, and look for the "View Discounts" button in your shopping cart to redeem your free eBook. AMS members save 20% off most AMS titles, and 25% off most AMS/MAA Press titles. Members residing in the U.S. (including Puerto Rico) and Canada also receive free shipping on all purchases. -- Join Today Shipping Information | International Orders Privacy Policy | © 2020 American Mathematical Society Contact Us Powered by Tizra ® 0...