One of the fundamental ideas of mathematical analysis is the notion of a function; we use it to describe and study relationships among variable quantities in a system and transformations of a system. We have already discussed real functions of one real variable and a few examples of functions of several variables but there are many more examples of functions that the real world, physics, natural and social sciences, and mathematics have to offer: (a) not only do we associate numbers and points to points, but we as- ciate numbers or vectors to vectors, (b) in the calculus of variations and in mechanics one associates an - ergy or action to each curve y(t) connecting two points (a, y(a)) and (b,y(b)): b Lea ~(y) - / 9 F(t, y(t), y' (t))dt t. J a in terms of the so-called Lagrangian F(t, y, p), (c) in the theory of integral equations one maps a function into a new function b /1, d-r / o. J a by means of a kernel K(s, T), (d) in the theory of differential equations one considers transformations of a function x(t) into the new function t t f f( a where f(s, y) is given. 1 in M. Giaquinta, G. Modica, Mathematical Analysis. Functions of One Va- able, Birkh~user, Boston, 2003, which we shall refer to as [GM1] and in M. G- quinta, G. Modica, Mathematical Analysis. Approximation and Discrete Processes, Birkhs Boston, 2004, which we shall refer to as [GM2].
"synopsis" may belong to another edition of this title.
This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces.
The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.
Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.
Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis.
"About this title" may belong to another edition of this title.
US$ 3.99 shipping within U.S.A.
Destination, rates & speedsSeller: Books From California, Simi Valley, CA, U.S.A.
Paperback. Condition: Very Good. Seller Inventory # mon0003502511
Quantity: 1 available
Seller: Basi6 International, Irving, TX, U.S.A.
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEJUNE24-130255
Quantity: 5 available
Seller: Books Puddle, New York, NY, U.S.A.
Condition: New. pp. 488. Seller Inventory # 26300377
Quantity: 4 available
Seller: SMASS Sellers, IRVING, TX, U.S.A.
Condition: New. Brand New Original US Edition. Customer service! Satisfaction Guaranteed. Seller Inventory # ASNT3-77319
Quantity: 1 available
Seller: Majestic Books, Hounslow, United Kingdom
Condition: New. pp. 488 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 7547526
Quantity: 4 available
Seller: Biblios, Frankfurt am main, HESSE, Germany
Condition: New. pp. 488. Seller Inventory # 18300371
Quantity: 4 available
Seller: UK BOOKS STORE, London, LONDO, United Kingdom
Condition: New. Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 7-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Seller Inventory # CBS 9780817643751
Quantity: 6 available
Seller: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Germany
XVIII, 465 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Seller Inventory # 1287KB
Quantity: 2 available
Seller: URW Books Store, CASPER, WY, U.S.A.
Condition: Brand New. Brand New! . "This is an International Edition." Book is In New condition and ship within One Working Day Tracking Number Provided by Customer 12-24 In To Hour, Deliver by FedEx & Aramex, UPS, & USPS Act. Order can be delivered worldwide With In 7-10 Working day Delivery. Ship from India & United States. Seller Inventory # CBSBOOKS15056
Quantity: 6 available
Seller: Basi6 International, Irving, TX, U.S.A.
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEJUNE24-130256
Quantity: 1 available