Linear Vector Spaces and Cartesian Tensors by Knowles (English) Hardcover Book

Description: Linear Vector Spaces and Cartesian Tensors by Knowles Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description This text brings together works on Linear Vector Spaces. It is primarily concerned with finite dimensional real Euclidean spaces, with Cartesian tensors viewed as linear transformations of such a space into itself, and with applications of these notions, especially in mechanics. Publisher Description Linear Vector Spaces and Cartesian Tensors is primarily concerned with the theory of finite dimensional Euclidian spaces. It makes a careful distinction between real and complex spaces, with an emphasis on real spaces, and focuses on those elements of the theory that are especially important in applications to continuum mechanics. The geometric content of the theory and the distinction between matrices and tensors are emphasized, and absolute- andcomponent-notation are both employed. While the mathematics is rigorous, the style is casual. Chapter 1 deals with the basic notion of a linear vector space; many examples of such spaces are given,including infinite-dimensional ones. The idea of a linear transformation of a vector space into itself is introduced and explored in Chapter 2. Chapter 3 deals with linear transformations on finite dimensional real Euclidean spaces (i.e., Cartesian tensors), focusing on symmetric tensors, orthogonal tensors, and the interaction of both in the kinetically important polar decomposition theorem. Chapter 4 exploits the ideas introduced in the first three chapters in order to construct the theory oftensors of rank four, which are important in continuum mechanics. Finally, Chapter 5 concentrates on applications of the earlier material to the kinematics of continua, to the notion of isotropicmaterials, to the concept of scalar invariant functions of tensors, and to linear dynamical systems. Exercises and problems of varying degrees of difficulty are included at the end of each chapter. Two appendices further enhance the text: the first is a short list of mathematical results that students should already be familiar with, and the second contains worked out solutions to almost all of the problems. Offering many unusual examples and applications, Linear Vector Spacesand Cartesian Tensors serves as an excellent text for advanced undergraduate or first year graduate courses in engineering mathematics and mechanics. Its clear writing style also makes this work usefulas a self-study guide. Author Biography Professor James K. Knowles is the William R. Kenan, Jr. Professor of Applied Mechanics. He received his Ph.D. from the Massachusetts Institute of Technology, D.Sc.h.c., National University of Ireland, and has received the following awards: Goodwin Medal for Effective Teaching, MIT (1955), Award of the Associated Students of Caltech for Excellence in Teaching (1984, 1985), Award of the Caltech Graduate Student Council for Exceptional Teaching (1993); Fellow, American Academy of Mechanics; Fellow, American Society of Mechanical Engineers; President of the American Academy of Mechanics, 1985-86; Details ISBN 0195112547 ISBN-13 9780195112542 Title Linear Vector Spaces and Cartesian Tensors Author Knowles Format Hardcover Year 1997 Pages 128 Publisher Oxford University Press Inc GE_Item_ID:137020870; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys

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