Book Description
This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.
Customer Reviews:
Progresses Well - Used for Self Study.......2007-07-18
I self studied this book to improve my applied math skills. The book progresses well, with examples clear and easy to follow, even for a non mathematician such as myself. My background is only through the Calculus level. The book begins with linear equations then moves to matrix algebra, a logical approach. The author balances nicely what he refers to as "scaffolding" and the inherent efficiency of the topic.
With the exercises, I focused on the steps required to reach an accurate result and how I may apply this to the business I'm in and used Mathematica for many of the interim computations. This approach worked well for me and allowed me to better understand the topic as a whole, though it's doubtful I could have gotten away with this approach had I been in a formal classroom.
Matrix Analysis and Applied Linear Algebra.......2006-11-11
The book is ok. But It has A lot oF math proof and Word problems
A Model of Authorship.......2006-11-10
This book contains a comprehensive treatment on the topic of matrix analysis and applied linear algebra. The concepts are clearly introduced and developed. It is rich with detailed proofs that are easy to follow. Results are summarized and clearly grouped and marked for reference. As a researcher and a practitioner, I found this book quite useful in explaining mathematical concepts without the need for a classroom instructor.
Besides, this book comes with a CD that contains a PDF version which makes it quite useful to port as a reference. It is very rich with problem sets that add insight, both theoretically and practically. It is accompanied by a solutions manual which strengthens comprehension.
I highly recommend this book. I think it deserves to be a model to follow for authorship in the digital age.
Beautiful Scaffolding.......2006-08-09
Linear algebra is the Babel language of sciences, this book helps you to get proficient in speaking it. Clear-cut presentation, mathematical rigor and historical gossip is in such an unison, that you'll crave for a sequel. This is the 18-th 5-star rating, you shouldn't hesitate any more!
One of the best introductory (modern) books I know........2006-04-27
If you need to learn Linear Algebra and Matrix Theory, your best starting point is this book.
Very well written, many examples, and many "modern" results, that are not found in classics as Gantmacher (also an excellent book).
Buy it and see for yourself.
Book Description
Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, guiding the Space Shuttle, and developing computer applications in virtual reality. In this book, J. B. Kuipers introduces quaternions for scientists and engineers who have not encountered them before and shows how they can be used in a variety of practical situations.
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.
Customer Reviews:
All four elements..........2007-09-17
Quaternions are not as intuitive as 3x3 matrices however this book give a strong understanding of quaternions so that the reader can let go of the 3x3 matrix and successfully, in my case at least, change over to only using quaternions. This has proven useful in my simulations for, and firmware code for, satellite attitude determination and control. In the version I have of this book, there are some mistakes that hopefully will be corrected, but the mistakes are obvious and easy to overlook. I hate quaternions but they are powerful tools in solving real world problems. This book made quaternions interesting and bearable. If you already have a really good understanding of quaternions, this book might help, but it has a long introduction into quaternions so you might want to review the book using the online outline to see if it actually covers more than what you might already know.
Quaternions for you.......2007-07-14
This is an excellent book, it's right up there with Gilbert Strang's Linear Algebra texts.
Want to understand quaternions and rotational matrices, well this is the book for you. Starts with the basics, coordinated transformations and such, and moves at a reasonable pace into quaternions. Others at work, looking at this book felt that they understood the text. Interestingly these were software engineers that never really gotten basic college calculus. Never could understand why many software people are so light on math. Different part of the brain I guess. Author vs. engineer.
Excellent - But for Position-Level Kinematics Only.......2007-06-20
This is a very thorough and user-friendly book for understanding quaternions. However, to my disappointment, it covers only position-level kinematics. On the applications part, I find that the absence of velocity-level, and acceleration-level kinematics, and the relations to the angular-velocity and angular-acceleration vectors, are completely missing in action, and prevent this book from becoming a real practical text to support some real applications. Add these, and I believe this will become the textbook for the topic.
Great for fixed rotations, bad for simulation.......2007-03-11
This book would be hard to beat for its clear and simple discussion of matrix rotations. It goes through practical derivations, and give a golden equation at the end. Additionally these equations are re-referenced and re-used many times. Excellent style! After a great introductory review, three different useful rotations are discussed:
Aerospace sequence: matrix rotations given heading, pitch and roll
Orbit Ephemeris: figure out where a satellite will be given 3 parameters
Great Circle Navigation: get a surface heading to any point on the earth
Sequences, however, means the combination fixed rotation components and NOT time series. For someone trying to do physics simulation, this book offers nothing on angular velocities, angular momentum or the representation of multi-modal or harmonic rotational inertia. Topics that involve movement under inertia are not discussed (e.g. the tumble of a spinning satellite, or the similar "Feymann Frisbee" which provided the simple insight that lead to the Nobel Prize). For this, I recommend *also* getting "Introduction to Space Dynamics" by Thomson which is harder to read, but includes more advanced examples. These two books combined will give you the basis of writing your own physics simulation software.
Simply put, this book alone would be all you need for a basic flight simulator game, but it won't help simulate an airplane tumbling out of control (under angualar momenutum, objects can and often do rotate in more than one inertial axis).
Truly this work will be a classic.......2006-02-09
This book is one of the very few mathematical, engineering, physics texts that I have come across in my 37 year career that stands out as a classic to be. I read the entire book and because it is so good, it is one of the few that I actually retained.
The book SAVES TIME. It saves time because you can learn the material without second guessing what the author is trying to say, because he wrote the book to TEACH you the material, not so you could stand in awe at his skill.
Because he took this topic and made it understandable in a way that so few books of its type do, his skill is evident in his clarity.
Anyone who can teach a subject like this in a book, with no classroom instruction knows his subject cold.
This is a winner. Big time.
I want to personally thank the author for taking the time and pains to write his book for me and countless others who stumble around in the world of physics, mathematics and engineering trying to get a grasp on our massive field. His contribution shines.
Book Description
A significantly revised and improved introduction to a critical aspect of scientific computation
Matrix computations lie at the heart of most scientific computational tasks. For any scientist or engineer doing large-scale simulations, an understanding of the topic is essential. Fundamentals of Matrix Computations, Second Edition explains matrix computations and the accompanying theory clearly and in detail, along with useful insights.
This Second Edition of a popular text has now been revised and improved to appeal to the needs of practicing scientists and graduate and advanced undergraduate students. New to this edition is the use of MATLAB for many of the exercises and examples, although the Fortran exercises in the First Edition have been kept for those who want to use them. This new edition includes:
* Numerous examples and exercises on applications including electrical circuits, elasticity (mass-spring systems), and simple partial differential equations
* Early introduction of the singular value decomposition
* A new chapter on iterative methods, including the powerful preconditioned conjugate-gradient method for solving symmetric, positive definite systems
* An introduction to new methods for solving large, sparse eigenvalue problems including the popular implicitly-restarted Arnoldi and Jacobi-Davidson methods
With in-depth discussions of such other topics as modern componentwise error analysis, reorthogonalization, and rank-one updates of the QR decomposition, Fundamentals of Matrix Computations, Second Edition will prove to be a versatile companion to novice and practicing mathematicians who seek mastery of matrix computation.
Download Description
A significantly revised and improved introduction to a critical aspect of scientific computation
Matrix computations lie at the heart of most scientific computational tasks. For any scientist or engineer doing large-scale simulations, an understanding of the topic is essential. Fundamentals of Matrix Computations, Second Edition explains matrix computations and the accompanying theory clearly and in detail, along with useful insights.
This Second Edition of a popular text has now been revised and improved to appeal to the needs of practicing scientists and graduate and advanced undergraduate students. New to this edition is the use of MATLAB for many of the exercises and examples, although the Fortran exercises in the First Edition have been kept for those who want to use them. This new edition includes:
* Numerous examples and exercises on applications including electrical circuits, elasticity (mass-spring systems), and simple partial differential equations
* Early introduction of the singular value decomposition
* A new chapter on iterative methods, including the powerful preconditioned conjugate-gradient method for solving symmetric, positive definite systems
* An introduction to new methods for solving large, sparse eigenvalue problems including the popular implicitly-restarted Arnoldi and Jacobi-Davidson methods
With in-depth discussions of such other topics as modern componentwise error analysis, reorthogonalization, and rank-one updates of the QR decomposition, Fundamentals of Matrix Computations, Second Edition will prove to be a versatile companion to novice and practicing mathematicians who seek mastery of matrix computation.
Customer Reviews:
good, but not the best.......2003-11-15
when i first saw this book, i was very excited. i would have rated it 5 stars at that time. It's a much easier read than Golub's "matrix computations" and Demmel's "Applied Numerical Linear Algebra".
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.......2000-09-03
This book is not that famous as the golub/van loan bible but it is more than competitive. Especially for undergraduate or even graduate students who want to become familiar with computational aspects of linear algebra the bible might be to compact; watkins gives one more help to understand the main ideas.
Average customer rating:
- My Favorite Book on the Finite Element Method
- It's Greate for Starting On It
|
Theory of Matrix Structural Analysis
J. S. Przemieniecki
Manufacturer: Dover Publications
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ASIN: 0486649482 |
Book Description
Pioneering text unsurpassed in the treatment of many topics; available first time in paperback. Invaluable for structural engineers and graduate students. 170 illus.
Customer Reviews:
My Favorite Book on the Finite Element Method.......2007-08-22
This book remains a great intellectual achievement, right up there with the works of Timoshenko. I've been able to write several quite useful programs using various element stiffness matrices spelled-out explicitly in this volume.
Other books that I've read on F.E.M. seem to banter around the subject in obtuse mathematical terms. Przemieniecki derives ever step - and most importantly - he gives complete element stiffness matrices! I have copied very large 12 x 12 element stiffness matrices from this book into space frame and plate analysis programs that I've written with excellent results.
The book derives stiffness and dynamic matrices properties, essentially using the principle of minimization of potential energy. The book does not go into other types of problems such as heat-flow, torsion or fluid flow. But for structural engineers, like myself, I think that it's best to learn first the solution of stiffness problems to get a grasp of what F.E.M. is about.
The best $10.95 I've spent on a book (when it was easily available in bookstores). If you are into writing F.E.M. programs and if you can find this book, get it!
It's Greate for Starting On It.......2000-04-12
This book helped me starting in my acknowledgments of Matrix Analysis. It's suggested for everyone who wants to get in to the matrix analysis.
Book Description
Matrix Analysis for Scientists and Engineers provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices. Consequently, the text provides an often-needed bridge between undergraduate-level matrix theory and linear algebra and the level of matrix analysis required for graduate-level study and research. The text is sufficiently compact that the material can be taught comfortably in a one-quarter or one-semester course. Throughout the book, the author emphasizes the concept of matrix factorization to provide a foundation for a later course in numerical linear algebra. The author addresses connections to differential and difference equations as well as to linear system theory and encourages instructors to augment these examples with other applications of their own choosing.
Customer Reviews:
A great review of Linear Algebra.......2005-08-22
A good review of the main topics in linear algebra. Succinct and to the point. It is good as a reference, but if you are looking for an introduction, please read Strang's books on the topic.
good second course linear algebra.......2005-03-24
This book covers all the useful material that you probably didn't get to in your first linear algebra course -- pseudo inverses, SVD, etc. Moves quickly, but not too quickly. Good balance of theory and application.
Average customer rating:
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Matrix Methods for Engineers and Scientists
S. Barnett
Manufacturer: Mcgraw-Hill College
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ASIN: 0070840849 |
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Circulant Matrices
Philip J. Davis
Manufacturer: Chelsea Pub Co
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Binding: Hardcover
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ASIN: 0828403384 |
Book Description
From the Preface: "Twenty years ago, noting that the basic facts about circulant matrices and its relationship to the Discrete Fourier Transform were rediscovered over and over again, I thought it might be worthwhile to publish a small book in which these facts were summarized (1979). What I did not realize was the extent to which in the years to come circulant matrices would play a role in applications and the extent to which algebraists, numerical analysts, combinatorialists and physicists would push forward the development of generalized circulants. Such matrices are now often seen as special instances of structured or patterned matrices ... The outgrowth of the simple notion of a circulant matrix has therefore been both vast and profound. Readers who are interested in applications or generalizations of circulants beyond what is given in this volume may find a ... list of publications (and their bibliographies) to be of use."
Second edition, with historical remarks and several additional references
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- advanced text for engineers
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Matrix Analysis of Structural Dynamics: Applications and Earthquake Engineering (Civil and Environmental Engineering)
Franklin Y. Cheng
Manufacturer: CRC
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Binding: Hardcover
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Structural Dynamics: Theory and Computation
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Dynamics of Structures (3rd Edition) (Prentice-Hall International Series in Civil Engineering and Engineering Mechanics)
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Seismic Design of Reinforced Concrete and Masonry Buildings
ASIN: 0824703871 |
Book Description
Uses state-of-the-art computer technology to formulate displacement method with matrix algebra. Facilitates analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes.
Customer Reviews:
advanced text for engineers.......2006-12-17
Cheng's book is well suited for a mechanical or civil engineer who is already well versed in the basics. He then takes you through a comprehensive use of matrices to solve systems of equations that define a physical problem. It starts with the simple cases of free and forced vibrations, combined with whether they are damped or undamped. This segues into the finding of eigensolutions that characterise the system.
A very important and practical case of designing structures to handle earthquakes is treated later in the book. Methods developed earlier in the text are suitably applied here.
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Matrices: Methods and Applications (Oxford Applied Mathematics and Computing Science Series)
Stephen Barnett
Manufacturer: Oxford University Press, USA
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ASIN: 0198596804 |
Book Description
Techniques of matrix theory find wide application throughout engineering and the physical, life, and social sciences. Consequently, matrix methods comprise an important component in any 'tool kit' of applied mathematics. This wide-ranging textbook provides a clearly written and up-to-date account of these methods, suitable for both undergraduates and more advanced students. The aim is to provide a down-to-earth approach with results illustrated by many examples drawn from the areas of application. The range of topics covered is large: from basic matrix algebra to advanced concepts such as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory, and linear programming. In addition, the book contains numerous exercises, together with answers, making it ideal for students in any field where matrices are used.
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Algebraic Riccati Equations (Oxford Science Publications)
Peter Lancaster , and
Leiba Rodman
Manufacturer: Oxford University Press, USA
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Binding: Hardcover
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ASIN: 0198537956 |
Book Description
This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions. The second and third parts form the core of the book and concern the solutions of algebraic Riccati equations arising from continuous and discrete systems. The geometric theory and iterative analysis are both developed in detail. The last part of the book is an exciting collection of eight problem areas in which algebraic Riccati equations play a crucial role. These applications range from introductions to the classical linear quadratic regulator problems and the discrete Kalman filter to modern developments in HW*w control and total least squares methods.
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- Modeling Survival Data: Extending the Cox Model (Statistics for Biology and Health)
- Monte Carlo Methods in Financial Engineering (Stochastic Modelling and Applied Probability)
- National Electrical Code 2005 Softcover Version (National Fire Protection Association National Electrical Code)
- Nonlinear Regression (Wiley Series in Probability and Statistics)
- Observational Studies
- Optimal Estimation of Dynamic Systems (Chapman & Hall/Crc Applied Mathematics & Nonlinear Science)
- Optimization by Vector Space Methods (Series in Decision and Control)
- Planning and Design of Airports, 4/e
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