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Free eBook Matrices and Transformations (Dover Books on Mathematics) download

by Anthony J. Pettofrezzo

Free eBook Matrices and Transformations (Dover Books on Mathematics) download ISBN: 0486636348
Author: Anthony J. Pettofrezzo
Publisher: Dover Publications; Revised edition (June 1, 1978)
Language: English
Pages: 144
Category: Math Science
Subcategory: Mathematics
Size MP3: 1456 mb
Size FLAC: 1387 mb
Rating: 4.8
Format: mobi lit lrf azw


Series: Dover Books on Mathematics. Paperback: 144 pages. It's a good book, but it's not different from others I bought to study matrix algebra. Actually, I bought it as a recommendation from another book on matrices.

Series: Dover Books on Mathematics.

Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Anthony J. Pettofrezzo.

Matrices and Transformations by Anthony J. Pettofrezzo This book presents an elementary and concrete approach to linear . Set Theory and Logic (Dover Books on Mathematics) by Robert R. What others are saying

Matrices and Transformations by Anthony J. Pettofrezzo This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. What others are saying.

Read Matrices and Transformations, by Anthony . ettofrezzo online on Bookmate – This text stresses the use of matrices in study of transformations of the plane. Read whenever, wherever. Your phone is always with you, so your books are too – even when you’re offline.

Similar books to Matrices and Transformations (Dover Books on Mathematics). Discover new, innovative, and trending products from emerging brands Shop now. Product description. This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics.

This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and . Matrices and Transformations - Anthony J.

This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed.

by Anthony J. Books related to Matrices and Transformations. Special Matrices and Their Applications in Numerical Mathematics. Imprint: Dover Publications. Get £3 off. (Save on your first purchase worth £. 1 or more). You are in the United Kingdom store.

Dover books on mathematics include authors Paul J. Cohen ( Set Theory and the Continuum Hypothesis ), Alfred . Of all the technical areas in which we publish, Dover is most recognized for our magnificent mathematics list. Cohen ( Set Theory and the Continuum Hypothesis ), Alfred Tarski ( Undecidable Theories ), Gary Chartrand ( Introductory Graph Theory ), Hermann Weyl ( The Concept of a Riemann Surface ), Shlomo Sternberg ( Dynamical Systems ), and multiple math book works by C. R. Wylie in geometry. And Stanley J. Farlow's Partial Differential Equations for Scientists and Engineers remains one of the most widely used textbooks we have ever published.

Matrices and Transformations (Dover Books on Mathematics). by Anthony J Pettofrezzo. ISBN 9780486636344 (978-0-486-63634-4) Softcover, Dover Publications, 1978.

This text stresses the use of matrices in study of transformations of the plane. Sales & Promotions.

This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.
User reviews
Erennge
There are 3+ typos on just the outside of the book itself. The organization of the book and how the information is presented is not helpful in trying to teach the reader about Matrices and Transformations. I would not recommend this book.
Browelali
This is a good elementary book for the introduction to Linear Algebra.
Rit
Hello:

It's a good book, but it's not different from others I bought to study matrix algebra. Actually, I bought it as a recommendation from another book on matrices.
Xar
Very shot. Not enough to cover a subject like linear algebra.
Nkeiy
This is an excellent book concerning Matrices, both during the first time during education learning about Matrices, or by self studying, or just by interest, wanting to learn what Matrices is and how it's used.

I bought this book back in 1983 when I during engineering education started to having more to do with Matrices for example Eigenvalues (were Eigenvalue is from Germany, and meaning Own value). I bought it because I didn't like the book we used in the university. But after the education I still bought books concerning Matrices, and Determinants, among other caused by programming a Robots, where we have a 4*4 Matrix for each movable part of its arm and hand. And later during more Economic studying, where we often, like with Robots can end with very big total Matrices. It's an excellent book, one of those which are good to lend to a person quite new in Matrices.

The contents in the book:

1 Matrices
1-1 Definitions of Elementary Properties 1
1-2 Matrix Multiplication 6
1-3 Diagonal Matrices 13
1-4 Special Real Matrices 15
1-5 Special Complex Matrices 19

2 Inverses and Systems of Matrices
2-1 Determinants 22
2-2 Inverse of a Matrix 28
2-3 Systems of Matrices 35
2-4 Rank of a Matrix 41
2-5 Systems of Linear Equations 46

3 Transformation of the Plane
3-1 Mappings 51
3-2 Rotations 53
3-3 Reflections, Dilations, and Magnifications 58
3-4 Other Transformations 63
3-5 Linear Homogeneous Transformations 66
3-6 Orthogonal Matrices 68
3-7 Translations 71
3-8 Rigid Motion Transformations 76

4 Eigenvalue and Eigenvectors
4-1 Characteristic Function 83
4-2 A Geometric Interpretation of Eigenvectors 87
4-3 Some Theorems 89
4-4 Diagonalization of Matrices 92
4-5 The Hamilton-Cayley Theorem 97
4-6 Quadratic Forms 101
4-7 Classification of the Conics 103
4-8 Invariants of Conics 109

Bibliography 112
Answers to Odd-Numbered Exercises 114
Index 129

As the number of Answers to Odd-number Exercises we are having a total of 130.

On the starting side, for starting on explaining Matrixes we get the following Matrix (here, by me, not a perfect drawing, as it's only for Determinants that we use such a straight line sides):

Electric Standard Portable
model model model

Units of material | 20 17 12 |
Units of labor | 6 8 5 |

In the book we gets 17 small figures, and to me, especially the geometrical drawings showing the changing in the figures, as on the front page, or rotation, or repositioning, in the co-ordinates, to me, are helpful.

And in the book the Matrix and Determinant figures probably are covering more area than the text.
Gralmeena
This fairly short Dover re-print edition is a good self-tutorial for students new to matrices. This book was originally published several years ago. but the mathematical notation is consistent with current texts. The first two chapters are moderately paced, covering such topics as real and complex matrices, Hermitian matrices, the inverse and rank of a matrix, and a brief introduction to systems of linear equations. The third chapter is a bit unique in focusing on application of matrices to transformations of the plane. I have encountered this topic in bits and pieces in various texts and I found this overview both interesting and helpful.
The final chapter, titled Eigenvalues and Eigenvectors, was a bit too concise, touching too briefly on more complicated topics like diagonalization of matrices, Hamilton-Cayley Theorem, and quadratic forms. I recommend working through the fourth chapter (this is a short book) rather quickly to get a basic understanding, but then moving to more detailed treatments of eigenvalues and related topics elsewhwere. As a follow-up, I recommend another Dover edition - An Introduction to Matrices, Sets, ad Groups for Science Students. However, this text assumes substantial familiarity with manipulation of determinants.
All in all, this book is a good buy and a good starting point for studying matrices.
Kazigrel
This relatively slim volume provides an excellent summary of matrix algebra and its relationship to geometric transformations. Indeed, as a quick reference to matrix definitions and operations, it's quite good, I think, with a fairly transparent, straightforward and understandable approach. Beyond basic applications to transformations, however, it doesn't provide any real insight into the application of matrices elsewhere. With that limitation understood, however, it remains highly useful. A fine choice, especially at the price.
Fantastic! As a professional, I picked this book for review of and self-study. The ordering of topics is straightforward and logical. There are just enough exercises in each section to reinforce the material and prove relevant theorems.