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New An Introduction to Linear Algebra and Tensors-R44
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Located in: Yucaipa, California, United States
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eBay item number:116821290492
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Features
- Revised Edition
- ISBN
- 9780486635453
About this product
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486635457
ISBN-13
9780486635453
eBay Product ID (ePID)
963550
Product Key Features
Number of Pages
192 Pages
Publication Name
Introduction to Linear Algebra and Tensors
Language
English
Publication Year
2010
Subject
Algebra / Linear
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.4 in
Item Weight
8 Oz
Item Length
8.2 in
Item Width
5.6 in
Additional Product Features
Intended Audience
College Audience
LCCN
77-078589
Dewey Edition
19
TitleLeading
An
Illustrated
Yes
Dewey Decimal
512.5
Edition Description
Reprint,Revised edition,New Edition
Table Of Content
Editor's Preface Chapter 1. Linear Spaces 1. Basic Concepts 2. Linear Dependence 3. Dimension and Bases 4. Orthonormal Bases. The Scalar Product 5. The Vector Product. Triple Products 6. Basis Transformations. Tensor Calculus 7. Topics in Analytic Geometry Chapter 2. Multilinear Forms and Tensors 8. Linear Forms 9. Bilinear Forms 10. Multilinear Forms. General Definition of a Tensor 11. Algebraic Operations on Tensors 12. Symmetric and Antisymmetric Tensors Chapter 3. Linear Transformations 13. Basic Concepts 14. The Matrix of a Linear Transformation and Its Determinant 15. Linear Transformations and Bilinear Forms 16. Multiplication of Linear Transformations and Matrices 17. Inverse Transformations and Matrices 18. The Group of Linear Transformations and Its Subgroups Chapter 4. Further Topics 19. Eigenvectors and Eigenvalues 20. The Case of Distinct Eigenvalues 21. Matrix Polynomials and the Hamilton-Cayley Theorem 22. Eigenvectors of a Symmetric Transformation 23. Diagonalization of a Symmetric Transformation 24. Reduction of a Quadratic Form to Canonical Form 25. Representation of a Nonsingular Transformation Selected Hints and Answers; Bibliography; Index
Synopsis
The present book, a valuable addition to the English-language literature on linear algebra and tensors, constitutes a lucid, eminently readable and completely elementary introduction to this field of mathematics. A special merit of the book is its free use of tensor notation, in particular the Einstein summation convention. The treatment is virtually self-contained. In fact, the mathematical background assumed on the part of the reader hardly exceeds a smattering of calculus and a casual acquaintance with determinants. The authors begin with linear spaces, starting with basic concepts and ending with topics in analytic geometry. They then treat multilinear forms and tensors (linear and bilinear forms, general definition of a tensor, algebraic operations on tensors, symmetric and antisymmetric tensors, etc.), and linear transformation (again basic concepts, the matrix and multiplication of linear transformations, inverse transformations and matrices, groups and subgroups, etc.). The last chapter deals with further topics in the field: eigenvectors and eigenvalues, matrix ploynomials and the Hamilton-Cayley theorem, reduction of a quadratic form to canonical form, representation of a nonsingular transformation, and more. Each individual section -- there are 25 in all -- contains a problem set, making a total of over 250 problems, all carefully selected and matched. Hints and answers to most of the problems can be found at the end of the book. Dr. Silverman has revised the text and numerous pedagogical and mathematical improvements, and restyled the language so that it is even more readable. With its clear exposition, many relevant and interesting problems, ample illustrations, index and bibliography, this book will be useful in the classroom or for self-study as an excellent introduction to the important subjects of linear algebra and tensors., Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition., Lucid, eminently readable work: linear spaces, linear transformations, matrix polynomials, etc. Silverman translation. 250 problems., Eminently readable and completely elementary, this treatment begins with linear spaces and ends with analytic geometry. Additional topics include multilinear forms, tensors, linear transformation, eigenvectors and eigenvalues, matrix polynomials, and more. More than 250 carefully chosen problems appear throughout the book, most with hints and answers. 1972 edition.
LC Classification Number
QA184.A391
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Seller feedback (10,222)
- i***n (6132)- Feedback left by buyer.Past 6 monthsVerified purchase🌴As a new seller to me, you’ve more than just made the grade for a good transaction, you’ve earned an excellent score! An AAA+++ rating is more like it!🦩You’ve ticked all the boxes for the elements that add up to what makes an outstanding purchase.🦩Fair pricing, competent packaging, fast shipping, and excellent customer service are what’s needed for the best purchases with an online store. You’ve met the criteria and more!🦩New Candle from Neiman Marcus-R21-3830 (#116612290106)
- 2***2 (91)- Feedback left by buyer.Past 6 monthsVerified purchaseAs always, very consistent AAA++++ Seller. Locomotives were packed very well in a hard case, items are an excellent shape very pleased with purchase and again awesome job. Thank you. Shipping is very fair and prompt. Excellent value very pleased with the purchase item is described perfectly thank you keep up the good work.
- t***9 (78)- Feedback left by buyer.Past 6 monthsVerified purchaseAmazing seller! What I ordered was packaged very well, and exactly as described. I'm so very excited!!! Will do business again, happily!!!! Great price, shipping was fast and exactly when I expected it! Check out their store!!!