Design Theory (Encyclopedia of Mathematics and its Applications)

Book Description

This volume concludes the second edition of the standard text on design theory. Since the first edition there has been extensive development of the theory and this book has been thoroughly rewritten to reflect this. In particular, the growing importance of discrete mathematics to many parts of engineering and science have made designs a useful tool for applications, a fact that has been acknowledged here with the inclusion of an additional chapter on applications. The volume is suitable for advanced courses and for reference use, not only for researchers in discrete mathematics or finite algebra, but also for those working in computer and communications engineering and other mathematically oriented disciplines. Features include exercises and an extensive, updated bibliography of well over 1800 citations.

Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications)

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typical math text
Comprehensive, well organized, very applicable

Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications)
Roe Goodman , and Nolan R. Wallach
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521663482

Book Description

More than half a century has passed since Weyl's "The Classical Groups" gave a unified picture of invariant theory that has retained its importance in mathematics and physics to the present day. This book presents an updated version of this theory together with many of the important recent developments. As a text for beginners, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. It makes abundant use of examples and exercises to explain concepts such as root systems, Weyl groups and highest weight theory. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.

Customer Reviews:

typical math text.......2004-07-01

Sadly, this book does not live up to its
reputation and can only be used by those
already having a working knowledege of
the subject. On top of that, the printing
is atrocious in places - unacceptable for
an expensive item.

Comprehensive, well organized, very applicable.......2001-07-12

The book may be considered an update of Weyl's classic from 1946 "The classical groups, their invariants and representations". Naturally the theory has developed immensly since then and a new comprehensive presentation has been urgently overdue. Goodman and Wallach are not only among the most qualified to write this next "classic" on the subject, they also put a phantastic effort into making it comprehensive, readable, and pleasant to use. I found it easy to find needed results and concrete formulae on decompositions of tensors and harmonics, duailty groups and centralizer algebras, mulitiplicity formulae, branching laws, etc.. The results are systematically organized - almost in an "encyclopedial" style. The book also contains rather modern results, such as, for example, new proofs of the Kostant Rallis Theorem or the relations between invariant theory and the Jones knot polynomial.

Book Description

This volume consists of 14 research articles that are an outgrowth of a scientific meeting held in Cortona on the subject of Carleman Estimates and Control Theory. New results are presented on Carleman estimates and their applications to uniqueness and controllability of partial differential equations and systems. The main topics are unique continuation for elliptic PDEs and systems, control theory and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail in several papers. In the area of control theory, the reader will find applications of Carleman estimates to stabilization, observability and exact control for the wave and Schrödinger equations. A final paper presents a challenging list of open problems on the topic of controllability of linear and semilinear heat equations. The articles contain exhaustive and essentially self-contained proofs directly accessible to mathematicians, physicists, and graduate students with an elementary background in PDEs. Contributors: L. Aloui, M. Bellassoued, N. Burq, F. Colombini, B. Dehman, C. Grammatico, M. Khenissi, H. Koch, P. Le Borgne, N. Lerner, T. Nishitani, T. Okaji, K.D. Phung, R. Regbaoui, X. Saint Raymond, D. Tataru, E. Zuazua

Control of Partial Differential Equations and Applications (Lecture Notes in Pure and Applied Mathematics)

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Control of Partial Differential Equations and Applications (Lecture Notes in Pure and Applied Mathematics)
Eduardo Casas
Manufacturer: CRC
ProductGroup: Book
Binding: Paperback

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Book Description

Based on the International Federation for Information Processing TC7/WG-7.2 Conference, held in Laredo, Spain, this work covers theoretical advances as well as results on control problems and applications for partial differential equations. It examines the controllability and stabilization of distributed sytems, optimality conditions, shape optimization and numerical methods.

Control of Turbulent and Magnetohydrodynamic Channel Flows: Boundary Stabilization and State Estimation (Systems & Control: Foundations & Applications)

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Control of Turbulent and Magnetohydrodynamic Channel Flows: Boundary Stabilization and State Estimation (Systems & Control: Foundations & Applications)
Rafael Vazquez , and Miroslav Krstic
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Hardcover

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ASIN: 0817646981

Book Description

This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. The basis of the approach used in the work is the recently developed continuous backstepping method for parabolic partial differential equations, expanding the applicability of boundary controllers for flow systems from low Reynolds numbers to high Reynolds number conditions.

Efforts in flow control over the last few years have led to a wide range of developments in many different directions, but most implementable developments thus far have been obtained using discretized versions of the plant models and finite-dimensional control techniques. In contrast, the design methods examined in this book are based on the “continuum” version of the backstepping approach, applied to the PDE model of the flow. The postponement of spatial discretization until the implementation stage offers a range of numerical and analytical advantages.

Specific topics and features:

* Introduction of control and state estimation designs for flows that include thermal convection and electric conductivity, namely, flows where instability may be driven by thermal gradients and external magnetic fields.

* Application of a special "backstepping" approach where the boundary control design is combined with a particular Volterra transformation of the flow variables, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system.

* Presentation of a result unprecedented in fluid dynamics and in the analysis of Navier–Stokes equations: closed-form expressions for the solutions of linearized Navier–Stokes equations under feedback.

* Extension of the backstepping approach to eliminate one of the well-recognized root causes of transition to turbulence: the decoupling of the Orr–Sommerfeld and Squire systems.

Control of Turbulent and Magnetohydrodynamic Channel Flows is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in the above areas. The book may also be used as a supplementary text for graduate courses on control of distributed-parameter systems and on flow control.

Control Problems for Systems Described by Partial Differential Equations and Applications (Lecture Notes in Control and Information Sciences, Vol 97)

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Control Problems for Systems Described by Partial Differential Equations and Applications (Lecture Notes in Control and Information Sciences, Vol 97)
I. Lasiecka
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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Control Systems (Mathematics and Its Applications (Kluwer Academic Publishers), V. 530.)

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Control Systems (Mathematics and Its Applications (Kluwer Academic Publishers), V. 530.)
J. F. Pommaret
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Book Description

Algebraic analysis, that is the algebraic study of systems of partial differential equations by means of module theory and homological algebra, was pioneered around 1970 by M. Kashiwara, B. Malgrange, and V.P. Palamodov. The theory of differential modules, namely modules over a noncommutative ring of differential operators, is a fashionable subject of research today. However, despite its fundamental importance in mathematics, it can only be found in specialist books and papers, and has only been applied in control theory since 1990.
This book provides a self-contained and exhaustive account of algebraic analysis and its application to control systems defined by partial differential equations. The first volume presents the mathematical tools needed from both commutative algebra, homological algebra, differential geometry and differential algebra. The second volume applies these new methods in order to study the structural and input/output properties of both linear and nonlinear control systems. Hundreds of explicit examples allow the reader to gain insight and experience in these topics.
The book is written at a graduate level and is intended for researchers in mathematics, mathematical physics, computer algebra, control theory, and theoretical mechanics

Control Theory for Partial Differential Equations: Continuous and Approximation Theories (Encyclopedia of Mathematics and its Applications)

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Control Theory for Partial Differential Equations: Continuous and Approximation Theories (Encyclopedia of Mathematics and its Applications)
Irena Lasiecka , and Roberto Triggiani
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521584019

Book Description

Volume II focuses on the optimal control problem over a finite time interval for hyperbolic dynamical systems. The chapters consider some abstract models, each motivated by a particular canonical hyperbolic dynamics, and present numerous new results.

Differential Equations with Discontinuous Righthand Sides: Control Systems (Mathematics and its Applications)

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A Classic

Differential Equations with Discontinuous Righthand Sides: Control Systems (Mathematics and its Applications)
A.F. Filippov
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 902772699X

Customer Reviews:

A Classic.......2002-01-13

This title is under the name of its editor, but I'd like to underline the Author's name: ALEKSEI FEDOROVICH FILIPPOV. His book is about differential equations with discontinuous righthand sides; a subject that you will not find in regular text books on differential equations. Filippov starts the discution stablishing a new concept of what a solution is in the context of discontinuities and states the main theorems on existence and uniqueness of these solutions. This book requires from the reader a deep mathematical background. Topics such as nonlinear systems, bifurcation theory and differential inclusions are addressed. Despite the fact that this is a math book, it is a highly recomended fundamental reading for every control engineer interested in nonlinear systems, especially in sliding mode control. The only bad thing about this book is that almost all bibliographical references are in Russian.

Customer Reviews:

Really engrossing.......2007-06-07

It's amazing how little detective stories have changed in all the years since Sherlock Holmes appeared. I really like the stories, and the voices are great. There's about 200 miles of great entertainment on this 3-disk set.

The Sherlock Holmes Crossword Puzzle Book II: Famous Adventures, Fascinating Features, Including the Hound of the Baskervilles (Told in 10 Puzzles)

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The Sherlock Holmes Crossword Puzzle Book II: Famous Adventures, Fascinating Features, Including the Hound of the Baskervilles (Told in 10 Puzzles)
Ruth Lake Tepper
Manufacturer: W. W. Norton & Company
ProductGroup: Book
Binding: Paperback

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ASIN: 0393009475

The Adventures of Sherlock Holmes II (Classic Fiction)

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Adventures of Sherlock II
I've found it!
A Modern Collection of The Adventures
A "Fun" Listen
The best of the Sherlock Holmes short story collections!

The Adventures of Sherlock Holmes II (Classic Fiction)
Sir Arthur Conan Doyle
Manufacturer: Naxos Audiobooks
ProductGroup: Book
Binding: Audio CD

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ASIN: 962634170X
Release Date: 1999-01-18

Book Description

Tor Classics are affordably-priced editions designed to attract the young reader. Original dynamic cover art enthusiastically represents the excitement of each story. Appropriate "reader friendly" type sizes have been chosen for each title-offering clear, accurate, and readable text. All editions are complete and unabridged, and feature Introductions and Afterwords.This edition of The Adventures of Sherlock Holmes includes a Foreword, Biographical Note, and Afterword by R. L. Fisher.

Customer Reviews:

Adventures of Sherlock II.......2007-08-31

The Game's afoot again as David Timson narrates the second volume of The Adventures. He reads with verve, alacrity, joy and understanding. His vocal character stylizations are a delight for both the uninitiated in the genre and the seasoned Sherlockian campaigner.

I've found it!.......2007-06-19

This was the first sentence ever spoken by Holmes, and we could all use it as well, when describing this collection. This is another review by one of the kids of "love my kids". Holmes has always been a joy to read, the action well placed, the humor meshing cleanly with the drama, and the cases truly challenging. You will not see most of the answers coming, so if you like that kinda thing, this book is not for you. I agree with the other guy who's review is above mine, in that reading it in spurts is a good idea.

A Modern Collection of The Adventures.......2005-11-22

This well-bound hardcover book is a medium brown color without the dust jacket, and has gold lettering on the spine. There's also a lightly embossed picture of the front cover on the hardcover.

The inside pages are made of high quality paper, and there are about 11 illustrations throughout the book, including the front cover.

The illustrations are printed in color on glossy paper, and are not the original illustrations. They look like oil paintings, mostly of the characters in the book, and the faces have an intentionally "blotchy" but artistic look to them, in higher contrast than portraits meant to capture real life.

The print looks to be about medium height (say, 10-12 point) printed without columns on each page. Each page has a fairly wide margin -- almost like a textbook designed to allow the student to take notes.

At a few points in the book there are footnotes that describe words that may not be understandable to the modern reader. For example, in The Man with the Twisted Lip, there is a footnote to the phrase "mouseline de soie". The footnote clarifies that this means "silk muslin".

The book's weight and size makes it comfortable to hold and carry around with you if need be.

If you're looking for a book that captures the feel of the Strand magazine, along with the original illustrations, this is not the book for you.

But if you'd like a good quality book with a modern feel, I think you'll be very happy with this edition's construction.

The Adventures of Sherlock Holmes contains some of the best stories in the collection such as the Red Headed League, A Scandal in Bohemia, The Five Orange Pips, The Man with the Twisted Lip, The Blue Carbuncle, and The Speckled Band. There are 12 stories in all, as well as an Afterward that describes the growing popularity of the stories as well as some parallels between the author, Arthur C. Doyle and John Watson.

Given the quality of the stories, I think the beginner or the veteran Holmes enthusiast will enjoy reading this book, and will think it money well spent for its entertainment value.

A "Fun" Listen.......2005-08-31

Listening to David Timson read these stories provides a delightful respite during a busy day. He handles the characters well, so it is easy to follow the dialog in the stories. I also enjoy the inclusion of classical music at the beginning of each story as well as between some of the scenes.

The best of the Sherlock Holmes short story collections! .......2004-08-17

Although he also wrote several novels featuring the world's greatest fictional detective Sherlock Holmes, it was especially in his short stories that Sir Arthur Conan Doyle perfected the Holmes formula. And of the five collections of Holmes short stories (about a dozen in each collection), "The Adventures of Sherlock Holmes" (published in 1892) was the first and is easily the most popular and best of the five. It contains all except one of the five all-time most popular short stories in the Sherlock Holmes canon (A Scandal in Bohemia, The Red-headed League, The Blue Carbuncle, and The Speckled Band), as well as some other gems like The Five Orange Pips. For newcomers to Holmes, this there is no better place to start than with the dozen stories that comprise "The Adventures of Sherlock Holmes". And for long-time fans, these are old favorites worth reading again and again.

Here's a list of the stories in this collection (with the better stories marked with stars):
***A Scandal in Bohemia, 1891 - The very first and one of the top five Sherlock Holmes short stories. After some brilliant detective work involving disguises and acting, Holmes is outwitted by the woman Irene Adler in his quest to help the hereditary king of Bohemia regain a scandalous photograph from her.
***The Red-headed League, 1891 - Generally regarded as all-time second best Sherlock Holmes story, this bizarre tale features a pawnbroker who is paid money to join the mysterious Red-Headed League and copy out Encyclopedia Britannica, as part of an ingenious scheme to rob a bank.
A Case of Identity, 1891 - Holmes solves the mystery of Mary Sutherland's fiance who disappears on the morning of his wedding, unmasking it as scheme hatched by her greedy step-father.
The Boscombe Valley Mystery, 1891 - Charles McCarthy's son seems the obvious murderer of his father after a violent quarrel, so it is up to Holmes to show that the murder has its real roots in the Australian past of the dead man and his landlord.
**The Five Orange Pips, 1891 - One of Doyle's personal favorites, this tale recounts the death of two men, both preceded by the arrival of five mysterious orange pips. In one of his few failures, Holmes connects the events to the Ku Klux Klan, but not soon enough to prevent another death.
*The Man with the Twisted Lip, 1891 - A baffling mystery about Mr. Neville St. Clair who disappears from a room into thin air, and a professional beggar who is the suspected murderer.
***The Blue Carbuncle, 1892 - Another favorite all-time top 5 Holmes story, as Holmes unravels how a blue diamond ended up inside the goose intended for Mr. Henry Baker's Christmas dinner.
***The Speckled Band, 1892 - Universally regarded as the most popular short story in the Sherlock Holmes canon, and easily one of the more suspenseful and chilling. The engaged Helen Stoner is terrified when she hears the same strange whistling that preceded the death of her twin sister in a locked bedroom shortly before her wedding. Her step-father Dr. Grimesby Roylott, a evil and greedy man with a passion for exotic pets like his cheetah and baboon, is the suspected villain - but how could he do it? The only clue are the mysterious words of Helen's dying sister about "speckled band"...
The Engineer's Thumb, 1892 - Victor Hatherley, a hydraulic engineer, is offered a lucrative contract to go to a secret location at night to fix a fuller's earth press, but why does he lose his thumb and nearly his life in the process? As Holmes says to the engineer about the missing thumb: "Indirectly it may be of value, you know; you have only to put it into words to gain the reputation of being excellent company for the remainder of your existence."
The Noble Bachelor, 1892 - When Lord St. Simon's new American wife goes missing shortly after their wedding, it is up to Holmes to find both her and the reason for her disappearance,
The Beryl Coronet - Expensive jewels are mysteriously damaged in the home of a wealthy banker, his ill-reputed son the prime suspect.
The Copper Beeches, 1892 - Violet Hunter is paid an exorbitant sum to be a governness at a house called The Copper Beeches. Her employment includes some strange stipulations, such as cutting her hair short and wearing a particular blue dress - but why?
- GODLY GADFLY

Adventures of Sherlock Holmes Vol. II (Sherlock Holmes Series, Vol. II)

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Adventures of Sherlock Holmes Vol. II (Sherlock Holmes Series, Vol. II)

Manufacturer: Harper & Brothers
ProductGroup: Book
Binding: Hardcover
ASIN: B000FJM5N6

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