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$48.31
41. Linear Algebra for Everyone (Unitext
 
42. LINEAR & MULTILINEARALGEBRA
 
43. An introduction to elements of
44. Tensor Spaces and Exterior Algebra
45. Trace Diagram: Mathematics, Linear
46. Tensor (intrinsic definition):
47. Exterior Algebra: Exterior Algebra.
$35.54
48. Applied Mathematics Body and Soul,
$235.00
49. Tensor Analysis and Nonlinear
$22.00
50. Algebraic Homogeneous Spaces and
$60.14
51. Differential Equations: An Introduction
$44.37
52. The Four Pillars of Geometry (Undergraduate
$4.99
53. The Method of Approximate Inverse:
$64.09
54. Matrix-Based Multigrid: Theory
$16.99
55. Linear Functions and Matrix Theory
 
$9.95
56. Multilinear trif mappings in Banach
$29.49
57. Linear Algebraic Groups (Modern
$62.53
58. Bilinear Control Systems: Matrices
$39.00
59. Dynamical Systems: Examples of
$84.67
60. Méthodes matricielles - Introduction

41. Linear Algebra for Everyone (Unitext / La Matematica Per Il 3+2)
by Lorenzo Robbiano
 Paperback: 235 Pages (2011-01-14)
list price: US$59.95 -- used & new: US$48.31
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Asin: 8847018382
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The book is the english translation of a former italian edition. Its aim is to provide students with the first mathematical tools regarding Linear Algabra. The challenge is to explain to all the first rudiments of a fundamental knowledge for science and technology. The text has been written by a mathematicians in order to meet the expectations of general public. ... Read more


42. LINEAR & MULTILINEARALGEBRA
by MARCUS
 Paperback: Pages (1986)

Asin: B000W9RCQE
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43. An introduction to elements of multilinear algebra (Texas Technological College, Lubbock, Texas. Dept. ofMathematics. Mathematics series)
by A. R Amir-Moéz
 Unknown Binding: 87 Pages (1969)

Asin: B0007ITSNK
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44. Tensor Spaces and Exterior Algebra (Translations of Mathematical Monographs)
by Takeo Yokonuma
Paperback: 131 Pages (1992-12)
list price: US$69.00
Isbn: 0821845640
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This book explains, as clearly as possible, tensors and such related topics as tensor products of vector spaces, tensor algebras, and exterior algebras. You will appreciate Yokonuma's lucid and methodical treatment of the subject. This book is useful in undergraduate and graduate courses in multilinear algebra.

Tensor Spaces and Exterior Algebra begins with basic notions associated with tensors. To facilitate understanding of the definitions, Yokonuma often presents two or more different ways of describing one object. Next, the properties and applications of tensors are developed, including the classical definition of tensors and the description of relative tensors. Also discussed are the algebraic foundations of tensor calculus and applications of exterior algebra to determinants and to geometry. This book closes with an examination of algebraic systems with bilinear multiplication. In particular, Yokonuma discusses the theory of replicas of Chevalley and several properties of Lie algebras deduced from them. ... Read more


45. Trace Diagram: Mathematics, Linear Algebra, Multilinear Algebra, Cayley?Hamilton Theorem, Penrose Graphical Notation, Multilinear Map, Gain Graph, List of Vector Identities
Paperback: 84 Pages (2010-02-03)
list price: US$47.00
Isbn: 6130354398
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High Quality Content by WIKIPEDIA articles! In mathematics, trace diagrams are a graphical means of performing computations in linear and multilinear algebra. They can be represented as (slightly modified) graphs in which some edges are labeled by matrices. The simplest trace diagrams represent the trace and determinant of a matrix. Several results in linear algebra, such as Cramer's Rule and the Cayley-Hamilton Theorem, have simple diagrammatic proofs. They are closely related to Penrose's graphical notation. ... Read more


46. Tensor (intrinsic definition): Mathematics, Abstract Object, Linear Algebra, Multilinear Algebra, Homological Algebra, Physical Property, Tensor Product, Rank (linear algebra), Differentiable Manifold
Paperback: 88 Pages (2010-01-26)
list price: US$48.00
Isbn: 6130349807
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High Quality Content by WIKIPEDIA articles! In mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multi-linear concept. Their well-known properties can be derived from their definitions, as linear maps or more generally; and the rules for manipulations of tensors arise as an extension of linear algebra to multilinear algebra.In differential geometry an intrinsic geometric statement may be described by a tensor field on a manifold, and then doesn't need to make reference to coordinates at all. The same is true in general relativity, of tensor fields describing a physical property. The component-free approach is also used heavily in abstract algebra and homological algebra, where tensors arise naturally. ... Read more


47. Exterior Algebra: Exterior Algebra. Geometric algebra, Symmetric algebra, Clifford algebra, Weyl algebra, Multilinear algebra, Tensor algebra
Paperback: 68 Pages (2009-10-05)
list price: US$42.00
Isbn: 6130048084
Average Customer Review: 1.0 out of 5 stars
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Exterior algebra. Geometric algebra, Symmetric algebra, Clifford algebra, Weyl algebra, Multilinear algebra, Tensor algebra ... Read more

Customer Reviews (1)

1-0 out of 5 stars Why buy at such a price when it's free from Wikipedia?
Unless you want a pocket-sized paperback containing the Wikipedia articles on the topics listed (from some time earlier in 2009), in a smaller font, you'd be better just printing them off directly from Wikipedia itself. For 59 pages of text on these topics, I think it's a pretty steep price. I'm returning mine to Amazon. ... Read more


48. Applied Mathematics Body and Soul, Volume 3: Calculus in Several Dimensions
by Kenneth Eriksson, Donald Estep, Claes Johnson
Hardcover: 428 Pages (2003-12-05)
list price: US$69.95 -- used & new: US$35.54
(price subject to change: see help)
Asin: 3540008918
Average Customer Review: 4.0 out of 5 stars
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This comprehensive work in three volumes by a combined Swedish-US team of authors is a complete course in basic mathematics geared towards beginning students in applied mathematics, science and engineering. It arose from a course developed for chemical engineering students at the prestigious Chalmers Tekniska Högskolan in Göteborg, Sweden. The text has been used there for several years and plenty of feedback by students has been integrated into the text.

These books are an ideal tool for beginning students, containing plenty of excercises, motivational sections, concrete examples of applications - a masterpiece of mathematics teaching. ... Read more

Customer Reviews (1)

4-0 out of 5 stars Calculus + Linear Algebra in One Series
I wish Amazon would put a text list of the "Table of Contents" for books.

Sorry about the length: Amazon does not allow postings for each volume in a series!

Volume 1: Derivatives and Geometry in R^3
1. What is Mathematics?
2. The Mathematics Library
3. Introduction to Modeling
4. A Very Short Calculus Course
5. Natural Numbers and Integers
6. Mathematical Induction
7. Rational Numbers
8. Pythagoras and Euclid
9. What is a Function?
10. Polynomial Functions
11. Combinations of Functions
12. Lipschitz Continuity
13. Sequences and Limits
14. The Square Root of Two
15. Real Numbers
16. The Bisection Algorithm for f(x) = 0
17. Do Mathematicians Quarrel?
18. The Function y = x^r
19. Fixed Points and Contraction Mappings
20. Analytic Geometry in R^2
21. Analytic Geometry in R^3
22. Complex Numbers
23. The Derivative
24. Differentiation Rules
25. Newton's Method
26. Galileo, Newton, Hooke, Malthus and Fourier

Volume 2: Integrals and Geometry in R^n
27: The Integral
28: Properties of the Integral
29. The Logarithm log(x)
30. Numerical Quadrature
31. The Exponential Function exp(x) = e^x
32. Trigonometric Functions
33. The Functions exp(z), log(z), sin(z) and cos(z) for z e C
34. Techniques of Integration
35. Solving Differential Equations Using the Exponential
36. Improper Integrals
37. Series
38. Scalar Autonomous Initial Value Problems
39. Separable Scalar Initial Value Problems
40. The General Initial Value Problem
41. Calculus Tool Bag I
42. Analytic Geometry in R^n
43. The Spectral Theorem
44. Solving Linear Algebraic Systems
45. Linear Algebra Tool Bag
46. The Matrix Exponential exp(xA)
47. Lagrange and the Principle of Least Action
48. N-Body Systems
49. The Crash Model
50. Electrical Circuits
51. String Theory
52. Piecewise Linear Approximation
53. FEM for Two-Point Boundary Value Problems

Volume 3: Calculus in Several Dimensions
54. Vector-Valued Functions of Several Real Variables
55. Level Curves/Surfaces and the Gradient
56. Linearization and Stability of Initial Value Problems
57. Adaptive Solvers for IVPs
58. Lorenz and the Essence of Chaos
59. The Solar System
60. Optimization
61. The Divergence, Rotation and Laplacian
62. Meteorology and Coriolis Forces
63. Curve Integrals
64. Double Integrals
65. Surface Integrals
66. Multiple Integrals
67. Gauss' Theorem and Green's Formula in R^2
68. Gauss' Theorem and Green's Formula in R^3
69. Stoke's Theorem
70. Potential Fields
71. Center of Mass and Archimedes' Principle
72. Newton's Nightmare
73. Laplacian Models
74. Chemical Reactions
75. Calculus Tool Bag II
76. Piecewise Linear Polynomials in R^2 and R^3
77. FEM for Boundary Value Problems in R^2 and R^3
78. Inverse Problems
79. Optimal Control
80. Differential Equations Tool Bag
81. Applications Tool Bag
82. Analytic Functions
83. Fourier Series
84. Fourier Transforms
85. Analytic Functions Tool Bag
86. Fourier Analysis Tool Bag
87. Incompressible Navier-Stokes: Quick and Easy

This book/series has some problems; however, the attempt to wed Mathematical Analysis, Numerical Computation, and Application AND to also talk about Calculus and Linear Algebra at the same time -- makes these three books worth a look.
... Read more


49. Tensor Analysis and Nonlinear Tensor Functions
by Yuriy I. Dimitrienko
Paperback: 684 Pages (2010-11-02)
list price: US$235.00 -- used & new: US$235.00
(price subject to change: see help)
Asin: 904816169X
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Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc.

The book suggests a new approach to definition of a tensor in space R3, which allows us to show a geometric representation of a tensor and operations on tensors. Based on this approach, the author gives a mathematically rigorous definition of a tensor as an individual object in arbitrary linear, Riemannian and other spaces for the first time.

It is the first book to present a systematized theory of tensor invariants, a theory of nonlinear anisotropic tensor functions and a theory of indifferent tensors describing the physical properties of continua.

The book will be useful for students and postgraduates of mathematical, mechanical engineering and physical departments of universities and also for investigators and academic scientists working in continuum mechanics, solid physics, general relativity, crystallophysics, quantum chemistry of solids and material science.

... Read more

50. Algebraic Homogeneous Spaces and Invariant Theory (Lecture Notes in Mathematics)
by Frank D. Grosshans
Paperback: 148 Pages (1997-12-04)
list price: US$37.00 -- used & new: US$22.00
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Asin: 3540636285
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The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics. ... Read more


51. Differential Equations: An Introduction with Mathematica® (Undergraduate Texts in Mathematics)
by Clay C. Ross
Paperback: 431 Pages (2010-11-02)
list price: US$74.95 -- used & new: US$60.14
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Asin: 1441919414
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The first edition (94301-3) was published in 1995 in TIMS and had 2264 regular US sales, 928 IC, and 679 bulk.

This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.

... Read more

52. The Four Pillars of Geometry (Undergraduate Texts in Mathematics)
by John Stillwell
Paperback: 229 Pages (2010-11-02)
list price: US$54.95 -- used & new: US$44.37
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Asin: 1441920633
Average Customer Review: 4.0 out of 5 stars
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This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants

Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic

Abundantly supplemented with figures and exercises

... Read more

Customer Reviews (4)

2-0 out of 5 stars Many Mistakes
While this book is a cheaper alternative to the hardcover, there are many mistakes in the printing.There are little dots where there should be parentheses, brackets and square root signs in the problem section.It makes the problems hard to understand if you do not know what symbols are supposed to be there.If you are using this for a class, make sure have someone else's book to compare it to.I know it is not just my book because everyone with the soft cover in my class has the same problem.

4-0 out of 5 stars Fine for School
This is a fine book for learning Euclidean and non-Euclidean geometry. Fairly clear. I wish it had more examples.

5-0 out of 5 stars Makes the connections, simply, readably
This text makes the connections simply, readably among various interrelated branches of mathematics including geometry (four of them), trig, group theory, complex variables, and linear algebra.Recommended for every high school mathematics instructor.

5-0 out of 5 stars A textbook for that geometry course you wish existed
This nice book contains many things that every mathematics student should know (but don't). Chapters 1-2 are on Euclid. The main ideas are picked out very nicely, in welcome contrast to the usual "let ABCD..."-style books. Chapters 3-4 on linear algebra in geometry will probably be skimmed by most readers. This is perhaps just as well, since it consists of little more than the pearls from the usual linear algebra course and since the presentation feels somewhat forced (e.g., things like the inner product are cheerfully defined out of thin air) compared to how naturally the rest of the book flows. Chapters 5-6 on projective geometry are more interesting. Perspective in art sets the stage, but we quickly move to purer things. Stillwell is very fond of the mysterious and fascinating connection with hypercomplex number systems one obtains by building up an arithmetic from within a projective plane. Then in chapter 7 we learn that transformation groups are a clarifying and unifying idea, and we play around with them a bit, somewhat aimlessly it seems, until we finally get to hyperbolic geometry in chapter 8. This chapter crowns the whole book beautifully, showing how projective geometry explodes into hyperbolic geometry through transformation-group thinking. It ends with an excellent short survey of the history of non-Euclidean geometry. ... Read more


53. The Method of Approximate Inverse: Theory and Applications (Lecture Notes in Mathematics)
by Thomas Schuster
Paperback: 202 Pages (2007-06-12)
list price: US$46.00 -- used & new: US$4.99
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Asin: 3540712267
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This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.

... Read more

54. Matrix-Based Multigrid: Theory and Applications (Numerical Methods and Algorithms)
by Yair Shapira
Paperback: 318 Pages (2010-11-02)
list price: US$79.95 -- used & new: US$64.09
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Asin: 1441943218
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Matrix-Based Multigrid introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the discretization of elliptic partial differential equations. Special attention is given to the powerful matrix-based-multigrid approach, which is particularly useful for problems with variable coefficients and nonsymmetric and indefinite problems.

This book can be used as a textbook in courses in numerical analysis, numerical linear algebra, and numerical PDEs at the advanced undergraduate and graduate levels in computer science, math, and applied math departments. The theory is written in simple algebraic terms and therefore requires preliminary knowledge only in basic linear algebra and calculus.

... Read more

55. Linear Functions and Matrix Theory (Textbooks in Mathematical Sciences)
by Bill Jacob
Paperback: 348 Pages (1995-03-30)
list price: US$59.95 -- used & new: US$16.99
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Asin: 0387944516
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This textbook is a new introduction to linear algebra for students who have completed the first year of calculus. In the spirit of modern instruction, this elementary presentation of the important ideas in linear algebra emphasizes conceptual understanding, developing applied examples, and working with realistic numerical data before introducing formal mathematical definition and operations. This text emphasizes geometric, symbolic, and numeric presentations of the subject. The first two chapters cover linear phenomena in both numeric and geometric settings. The symbolic manipulation of vectors and matrices is then introduced as a tool for the study of specific problems. Many examples, student exercises, and group project ideas are included. ... Read more


56. Multilinear trif mappings in Banach modules over a C*-algebra *.: An article from: Tamsui Oxford Journal of Mathematical Sciences
by Chun-Gil Park
 Digital: 12 Pages (2007-12-01)
list price: US$9.95 -- used & new: US$9.95
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Asin: B00102J6FW
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This digital document is an article from Tamsui Oxford Journal of Mathematical Sciences, published by Thomson Gale on December 1, 2007. The length of the article is 3560 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

From the author: Keywords and Phrases: Banach module over C*-algebra, Stability, Unitary group, Multilinear Trif functional equation.

Citation Details
Title: Multilinear trif mappings in Banach modules over a C*-algebra *.
Author: Chun-Gil Park
Publication: Tamsui Oxford Journal of Mathematical Sciences (Magazine/Journal)
Date: December 1, 2007
Publisher: Thomson Gale
Volume: 23Issue: 3Page: 277(11)

Distributed by Thomson Gale ... Read more


57. Linear Algebraic Groups (Modern Birkhäuser Classics)
by T.A. Springer
Paperback: 334 Pages (2008-11-13)
list price: US$49.95 -- used & new: US$29.49
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Asin: 0817648399
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The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed. It thus represents a higher aim. As in the first edition, the book includes a self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. As a result, the first part of the book can well serve as a text for an introductory graduate course on linear algebraic groups.

... Read more

58. Bilinear Control Systems: Matrices in Action (Applied Mathematical Sciences)
by David Elliott
Hardcover: 281 Pages (2009-05-15)
list price: US$89.95 -- used & new: US$62.53
(price subject to change: see help)
Asin: 1402096127
Average Customer Review: 5.0 out of 5 stars
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This book introduces and surveys bilinear control systems theory from a mathematical viewpoint. The exposition is at the first-year graduate level. Topics include an introduction to Lie algebras, matrix groups and semigroups; the controllability, stabilization, and observability of bilinear systems; nonlinear systems analytically equivalent to bilinear systems; series representations for input-outputmappings; and random inputs. To assist the reader there are exercises; Mathematica scripts; and appendices on matrix analysis, differentiable maps and manifolds, Lie algebra, and Lie groups.

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Customer Reviews (1)

5-0 out of 5 stars A great book

Bilinear control systems are very important because they provide a bridge between linear and nonlinear control theory. Bilinear control systems also appear frequently in a wide variety of applications. In particular, switched linear systems are in fact bilinear control systems with the control input representing the switching signal.

Written by one of the pioneers of nonlinear and geometric control theory, this book provides both an expository introduction to this important class of control systems and an up-to-date guide to its vast literature.

The book follows a geometric Lie-algebraic approach. A unique feature is that many of the discussions are accompanied by complete Mathematica scripts, making it relatively easy for the reader to test and visualize the basic ideas.

I think that this book should serve as the fundamental reference to the field, and would highly recommend it to graduate level students and researchers in mathematics and engineering.

... Read more


59. Dynamical Systems: Examples of Complex Behaviour (Universitext)
by Jürgen Jost
Paperback: 189 Pages (2005-09-12)
list price: US$69.95 -- used & new: US$39.00
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Asin: 3540229086
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Breadth of scope is unique

Author is a widely-known and successful textbook author

Unlike many recent textbooks on chaotic systems that have superficial treatment, this book provides explanations of the deep underlying mathematical ideas

No technical proofs, but an introduction to the whole field that is based on the specific analysis of carefully selected examples

Includes a section on cellular automata

... Read more

60. Méthodes matricielles - Introduction à la complexité algébrique (Mathématiques et Applications) (French Edition)
by Jounaidi Abdeljaoued, Henri Lombardi
Paperback: 376 Pages (2003-11-26)
list price: US$139.00 -- used & new: US$84.67
(price subject to change: see help)
Asin: 3540202471
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Ce livre est une introduction à la théorie de la complexité algébrique basée sur un panorama des méthodes algorithmiques en algèbre linéaire exacte. Il donne en particulier les principaux algorithmes pour le calcul du polynôme caractéristique. Ce livre se remarque par l'étendue des sujets traités tout en restant très lisible.

... Read more

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