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1. Matrix Algebra Useful for Statistics (Wiley Series in Probability and Statistics) by Shayle R.Searle | |
list price: $120.00
our price: $120.00 (price subject to change: see help) Asin: 0471866814 Catlog: Book (1982-08-19) Publisher: Wiley-Interscience Sales Rank: 531281 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
Definitively a classic |
2. Matrix Computations (Johns Hopkins Series in the Mathematical Sciences) by Gene H. Golub, Charles F. Van Loan | |
list price: $45.95
our price: $39.52 (price subject to change: see help) Asin: 0801854148 Catlog: Book (1996-11-01) Publisher: Johns Hopkins University Press Sales Rank: 22537 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Reviews (13)
One of the best books on the subject
THE CLASSIC reference for matrix computations!
Got Matrices? For each important algorithm discussed, the authors provide a concise and rigorous mathematical development followed by crystal clear pseudo-code. The pseudo-code has a Pascal-like syntax, but with embedded Matlab abbreviations that make common low-level matrix operations extremely easy to express. The authors also use indentation rather than tedious BEGIN-END notation, another convention that makes the pseudo-code crisp and easy to understand. I have found it quite easy to code up various algorithms from the pseudo-code descriptions given in this book. The authors cover most of the traditional topics such as Gaussian elimination, matrix factorizations (LU, QR, and SVD), eigenvalue problems (symmetric and unsymmetric), iterative methods, Lanczos method, othogonalization and least squares (both constrained and unconstrained), as well as basic linear algebra and error analysis. I've use this book extensively during the past ten years. It's an invaluable resource for teaching numerical analysis (which invariably includes matrix computations), and for virtually any research that involves computational linear algebra. If you've got matrices, chances are you will appreciate having this book around.
from theory to practice.
Still state of the art? |
3. Quaternions and Rotation Sequences : A Primer with Applications to Orbits, Aerospace and Virtual Reality by J. B. Kuipers | |
list price: $35.00
our price: $29.05 (price subject to change: see help) Asin: 0691102988 Catlog: Book (2002-08-19) Publisher: Princeton University Press Sales Rank: 92635 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and familiar 3 x 3 (9-element) matrix rotation operator. These parallel presentations allow the reader to judge which approaches are preferable for specific applications. The volume is divided into three main parts. The opening chapters present introductory material and establish the book's terminology and notation. The next part presents the mathematical properties of quaternions, including quaternion algebra and geometry. It includes more advanced special topics in spherical trigonometry, along with an introduction to quaternion calculus and perturbation theory, required in many situations involving dynamics and kinematics. In the final section, Kuipers discusses state-of-the-art applications. He presents a six degree-of-freedom electromagnetic position and orientation transducer and concludes by discussing the computer graphics necessary for the development of applications in virtual reality. ... Read more Reviews (18)
An oustanding work on rotations for the practitioner Kuiper does an outstanding job of pulling together the traditional matrix-based approach to describing rotations with the less-frequently encountered quaternion approach. In doing so, he clearly shows the benefits of the quaternion algebra, especially for computer systems modeling rigid body rotations and virtual worlds. The exposition is clear, concise, and aimed at the practitioner rather than the theoretician. The examples are taken from classical engineering problems -- a refreshing change from the quantum-mechanical problems I was used to from previous works on the subject. Despite the practical foocus, though, there is plenty of material here for those more interested in understanding the minutia of the SO(3) symmetry group. And unlike most work in this field, he doesn't stop with algebra, but includes the calculus of rotation matrices and quaternions using material on kinematics and dynamics of rigid bodies, celestial mechanics, and rotating reference frames. I give the book my highest recommendation. It should be considered an essential reference work for anyone who encounters rotational problems with any frequency. --Tony Valle
Good beginning, not enough for most applications Specifically it doesn't explain anything about interpolating rotations, which is absolutely required in the field of animation. After reading this book, I would recommend finding a copy of Ken Shoemake's article "Animating Rotation with Quaternion Curves", which explains slerp and squad, there are many references available on the Internet. The Flipcode.com site has some code by Tim Sweeney (lead programmer for Unreal) under "Vector Math and Quaternions", which explains how to use quaternion logarithms to handles higher-order (Hermite, Bezier, TCB) interpolations. It could be argued that this is out of the scope of the book, but I suspect many people interested in buying this book will need this information. This is the main way quaternions are used in game programming, for example. Still, this book gives you a good starting point and its explanation of Euler angles and conversion to/from is about the best I have ever read. The derivation of quaternions as an extension of complex numbers is quite easy to follow and has a very easy-going style, which still giving a firm mathematical basis.
I am the Quaternion Book's Author The following Book Review Appeared in Journal: Contemporary Physics}, Quaternions are one of the simplest and most powerful Minkowski space-time and fermionic spin are no longer sequence and great circle navigation by demonstrating how everything that one could wish for in a primer. It is also
A good introduction to quaternions
A word of caution (PS. My comments are on the first print of the book, I hope the errors have been corrected in the later prints.) ... Read more |
4. Topics in Matrix Analysis by Roger A. Horn, Charles R. Johnson | |
list price: $50.00
our price: $50.00 (price subject to change: see help) Asin: 0521467136 Catlog: Book (1994-06-24) Publisher: Cambridge University Press Sales Rank: 323255 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
A great reference source for advanced matrix analysis TOPICS IN MATRIX ANALYSIS contains a lot of stuff including LMI's, Kronecker and Hadamard products of matrices and their properties etc. I found this book indispensible when I was studying Semidefinite Programming. Both these books are now available in paperback (cost around 30+) dollars each. I have recently purchased both copies and can only strongly recommend them to anyone else. ... Read more |
5. Matrix Analysis by Roger A. Horn, Charles R. Johnson | |
list price: $40.00
our price: $40.00 (price subject to change: see help) Asin: 0521386322 Catlog: Book (1990-02-23) Publisher: Cambridge University Press Sales Rank: 226162 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (5)
Not for the uninitiated
An encyclopedic reference for matrix analysis and linear alg
Excellent book.... for the initiated Nonetheless, I really like their take on linear algebra. They motivate you in every subject and problem (for example, the relations between eigenvectors, eigenvalues, and optimization problems). These insights are invaluable and definitely worth the admission price. Together with Golub and Van Loan's "Matrix Computations", this is THE linear algebra book to get, although only if you're sufficiently initiated.
The most comprehensive and up-to-date reference/textbook.
Excellent treatment of the subject matter |
6. Schaum's Outline of Matrix Operations by RichardBronson | |
list price: $16.95
our price: $11.53 (price subject to change: see help) Asin: 0070079781 Catlog: Book (1988-07-01) Publisher: McGraw-Hill Sales Rank: 125184 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (2)
Got matrix problems? The topics covered are inversions, determinants, vectors, eigenvalues and eigenvectors, functions, square matrices, hermitian and positive definite matrices, canonical bases, unitary transformations, and nonnegative and patterned matrices, among other topics. As with other books in the Schaum's series, there are supplementary questions to test your knowledge and understanding. Most of the answers are in the back.
Clear, easy to understand tutorial on Matrices |
7. Calculus by and for Young People (Ages 7, Yes 7 and Up) by Donald Cohen | |
list price: $13.95
our price: $11.86 (price subject to change: see help) Asin: 096216741X Catlog: Book (1989-03-01) Publisher: Don Cohen the Mathman Sales Rank: 181998 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (2)
Calculus isn't beyond the reach of the average kid!
This book is too small for the price |
8. Matrix Population Models: Construction, Analysis, and Interpretation by Hal Caswell | |
list price: $77.95
our price: $77.95 (price subject to change: see help) Asin: 0878930965 Catlog: Book (2000-09-01) Publisher: Sinauer Associates Sales Rank: 260280 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description The decade since the publication of the First Edition of this book has seen enormous progress in the theory and application of matrix population models. The new edition includes greatly expanded treatment of stochastic and density-dependent models, sensitivity analysis, and statistical inference, and new chapters on parameter estimation, structured population models, demographic stochasticity, and applications of matrix models in conservation biology. Matrix Population Models, Second Edition, is an indispensable reference for graduate students and researchers in ecology, population biology, conservation biology, and human demography. ... Read more Reviews (2)
a classic - worth the wait
Clear and accessible introduction to population modeling Caswell shows how you can elaborate differential equation models to represent much of the population structure and characteristics of interest within a population. His descriptions are clear and easily accessible to biologists as well as people from the more quantitative fields of science. The new edition of this book is due out in April 2000. I am looking forward to it. ... Read more |
9. Matrix Differential Calculus with Applications in Statistics and Econometrics, 2nd Edition by Jan R.Magnus, HeinzNeudecker | |
list price: $95.54
our price: $95.54 (price subject to change: see help) Asin: 047198633X Catlog: Book (1999-03-15) Publisher: John Wiley & Sons Sales Rank: 461794 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description
Reviews (5)
Bad typesetting reviews are not exaggerating
Too bad! I was about to buy a second copy of the book, but the hardcover rice is ridiculous (more than $300!!), and I was turned away from buying the paperback edition because of the comments on the bad quality of typesetting. This is too bad. A book of this stature deserves a better treatment by the publisher!
Very useful book, bad typesetting
enormous utility
Excellent, no-nonsense compilation of results |
10. Fundamentals of Matrix Computations by David S.Watkins | |
list price: $105.00
our price: $105.00 (price subject to change: see help) Asin: 0471213942 Catlog: Book (2002-05-15) Publisher: Wiley-Interscience Sales Rank: 340492 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description
Reviews (2)
good, but not the best but then I saw Trefethen and Bau's "Numerical Linear Algebra", and I was totally amazed by that book. By comparison, this book by Watkins can only be rated 4 stars. It just doesn't match up to Trefethen's book in terms of elegance, smoothness, intuitiveness, and more importantly, focusing on the essence instead of being buried in the details. if you are really interested in the topic of matrix computation, I suggest you start with Trefethen's book, and use Golub's book as reference later on.
interesting alternative to golub/van loan |
11. Matrices and Linear Algebra (Dover Books on Advanced Mathematics) by Hans Schneider, George Phillip Barker | |
list price: $16.95
our price: $11.53 (price subject to change: see help) Asin: 0486660141 Catlog: Book (1989-06-01) Publisher: Dover Publications Sales Rank: 81963 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
Clearly exposed an important math field |
12. Matrix Analysis (Graduate Texts in Mathematics, 169) by Rajendra Bhatia | |
list price: $59.95
our price: $51.56 (price subject to change: see help) Asin: 0387948465 Catlog: Book (1996-12-01) Publisher: Springer-Verlag Sales Rank: 92870 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
An excellent book on this topic! |
13. Iterative Solution of Large Sparse Systems of Equations (Applied Mathematical Sciences) by Wolfgang Hackbusch | |
list price: $84.95
our price: $84.95 (price subject to change: see help) Asin: 0387940642 Catlog: Book (1994-01-01) Publisher: Springer-Verlag Sales Rank: 944821 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
14. Elementary Matrix Algebra (Dover Books on Mathematics) by Franz Edward Hohn, Franz E. Hohn | |
list price: $24.95
our price: $16.97 (price subject to change: see help) Asin: 0486425347 Catlog: Book (2003-01-01) Publisher: Dover Publications Sales Rank: 288115 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
15. Lie Groups, Lie Algebras, and Representations by Brian C. Hall | |
list price: $59.95
our price: $51.56 (price subject to change: see help) Asin: 0387401229 Catlog: Book (2003-08-07) Publisher: Springer-Verlag Sales Rank: 130371 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description The text is divided into two parts. The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory with numerous images pertaining to Lie algebras of rank two and rank three, including images of root systems, lattices of dominant integral weights, and weight diagrams. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame. ... Read more Reviews (2)
A refreshingly clear introductory text on Lie groups The main and overriding strength of this book is the willingness of the author to guide the reader in digesting definitions and proofs. This comes in the form of numerous examples and counterexamples to point the reader in the right direction after a definition. And Hall constantly reminds readers of particular relevant terms in the course of applying them, which I found very effective in reinforcing concepts, and which allowed me to focus on the task at hand rather than spending time sifting through previous chapters, often losing sight of the main point of the argument. Another strong point is the approach taken to introducing weights and roots of particular representations. I have found this a very difficult subject (as I guess a lot of students do) and Rossman's book was not helping much. As the previous reviewer noted, this book starts out (chapters four and five) with detailed treatments of the representations of su(2) and su(3) via the complexifications sl(2; C) and sl(3; C) and introduces weights in these contexts as pairs of simultaneous eigenvalues of the basis elements of the Cartan subalgebra.This requires only a background in linear algebra to digest and really hits home the point of these constructs in the whole scheme of things. After these examples under the belt, the reader is then able to take in the general definition of a weight as a linear functional in chapter six. Representations of general semisimple Lie algebras are covered in chapter seven. Throughout it all, Hall's style is very clear and his proofs are complete and illuminating. If you have had courses in linear and modern algebra, you should be fine with this one. Very well suited for self study. I can't recommend this book highly enough.
AT LAST, LIE GROUPS & ALGEBRAS I CAN UNDERSTAND!! |
16. Matrix Algebra : An Introduction (Quantitative Applications in the Social Sciences) by Krishnan Namboodiri | |
list price: $15.95
our price: $15.95 (price subject to change: see help) Asin: 0803920520 Catlog: Book (1984-07-01) Publisher: SAGE Publications Sales Rank: 111432 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Defines basic terms and elementary matrices manipulation, introduces the concept of linear dependence, and explains eigenvalues and eigenvectors with illustrated examples. ... Read more |
17. Basic Matrix Algebra with Algorithms and Applications by Robert Liebler | |
list price: $59.95
our price: $59.95 (price subject to change: see help) Asin: 1584883332 Catlog: Book (2002-12-13) Publisher: Chapman & Hall/CRC Sales Rank: 967976 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
Good Book, Great Sense of Humor . |
18. Matrix Algebra From a Statistician's Perspective by David A. Harville | |
list price: $89.95
our price: $89.95 (price subject to change: see help) Asin: 038794978X Catlog: Book (1997-09-05) Publisher: Springer-Verlag Sales Rank: 405438 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description David A.Harville is a research staff memeber in the Mathematical Sciences Department of the IBM T.J.Watson Research Center. Prior to joining the Research Center he spent ten years as a mathematical statistician in the Applied Mathematics Research Laboratory of the Aerospace Research Laboratories (at Wright-Patterson,AFB, Ohio,followed by twenty years as a full professor in the Department of Statistics at Iowa State University. He has extensive experience in the area of linear statistical models, having taught (on numberous occasions) M.S.and Ph.D.level courses on that topic,having been the thesis adviser of 10 Ph.D. students,and having authored over 60 research articles. His work has been recognized by his election as a Fellow of the American Statistical Association and the Institute of Mathematical Statistics and as a memeber of the International Statistical Institute and by his having served as an associate editor of Biometrics and of the Journal of the American Statistical Association. The style and level of presentation are designed to make the contents accessible to a broad audience. The book is essentially self-contained, though it is best-suited for a reader who has had some previous exposure to matrices (of the kind that might be acquired in a beginning course on linear or matrix algebra). It will be a valuable reference for statisticians and for others. As it includes exercise sets, it can serve as the primary text for a course on matrices or as a supplementary text in courses on such topics as linear statistical models or multivariate analysis. ... Read more Reviews (3)
Its a good tool book
Execllent reference, even for non-statisticians
An excellent book on matrices |
19. Matrix Algebra: Exercises and Solutions by David A. Harville | |
list price: $44.95
our price: $44.95 (price subject to change: see help) Asin: 0387953183 Catlog: Book (2001-09-06) Publisher: Springer-Verlag Sales Rank: 680986 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
too dry |
20. Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications) by Richard A. Brualdi, Herbert J. Ryser | |
list price: $120.00
our price: $120.00 (price subject to change: see help) Asin: 0521322650 Catlog: Book (1991-07-26) Publisher: Cambridge University Press Sales Rank: 410320 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
An excellent treatise on applied combinatorics. |
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