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The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author s elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an emphasis on results of practical interest and an extensive collection of problems and solutions. Functions of Matrices: Theory and Computation is more than just a monograph on matrix functions; its wide-ranging content including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection makes it useful as a general reference in numerical linear algebra. Other key features of the book include development of the theory of conditioning and properties of the Fréchet derivative; an emphasis on the Schur decomposition, the block Parlett recurrence, and judicious use of Padé approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB® toolbox providing implementations of the key algorithms.

Audience: This book is for specialists in numerical analysis and applied linear algebra as well as anyone wishing to learn about the theory of matrix functions and state of the art methods for computing them. It can be used for a graduate-level course on functions of matrices and is a suitable reference for an advanced course on applied or numerical linear algebra. It is also particularly well suited for self-study.

Contents: List of Figures; List of Tables; Preface; Chapter 1: Theory of Matrix Functions; Chapter 2: Applications; Chapter 3: Conditioning; Chapter 4: Techniques for General Functions; Chapter 5: Matrix Sign Function; Chapter 6: Matrix Square Root; Chapter 7: Matrix pth Root; Chapter 8: The Polar Decomposition; Chapter 9: Schur-Parlett Algorithm; Chapter 10: Matrix Exponential; Chapter 11: Matrix Logarithm; Chapter 12: Matrix Cosine and Sine; Chapter 13: Function of Matrix Times Vector: f(A)b; Chapter 14: Miscellany; Appendix A: Notation; Appendix B: Background: Definitions and Useful Facts; Appendix C: Operation Counts; Appendix D: Matrix Function Toolbox; Appendix E: Solutions to Problems; Bibliography; Index.

• Sales Rank: #375015 in Books
• Published on: 2008-03-26
• Original language: English
• Number of items: 1
• Dimensions: 9.72" h x .91" w x 6.85" l, 2.00 pounds
• Binding: Hardcover
• 445 pages

Review
This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field. --Alan Laub, Professor, University of California, Los Angeles

About the Author
Nicholas J. Higham, FRS, is Richardson Professor of Applied Mathematics at The University of Manchester, UK. He is the author of more than 100 publications and of the books Accuracy and Stability of Numerical Algorithms (SIAM, 2nd ed., 2002), Handbook of Writing for the Mathematical Sciences, (SIAM, 2nd ed., 1998), and MATLAB Guide, (with Desmond J. Higham, SIAM, 2nd ed., 2005).

Most helpful customer reviews

3 of 5 people found the following review helpful.
Totally Excellent Book!
By ralph kelsey
Functions of Matrices is a very useful topic, and this is the only book on it, and it is excellent. The material in it will allow me to expand some research I have done in the topic "Functions of sets of matrices" in new directions.

You might be aware that the author has "written the book" on how to write a good math book ("Handbook of Writing for the Math Sciences", another great book) and this is an excellent example.

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[M910.Ebook] Ebook Download Poland: The First Thousand Years, by Patrice M. Dabrowski

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Since its beginnings, Poland has been a moving target, geographically as well as demographically, and the very definition of who is a Pole has been in flux. In the late medieval and early modern periods, the country grew to be the largest in continental Europe, only to be later wiped off the map for more than a century. The Polish phoenix that rose out of the ashes of World War I was obliterated by the joint Nazi-Soviet occupation that began with World War II. The postwar entity known as Poland was shaped and controlled by the Soviet Union. Yet even under these constraints, Poles persisted in their desire to wrest from their oppressors a modicum of national dignity and, ultimately, managed to achieve much more than that.

Poland: The First Thousand Years is a sweeping account designed to amplify major figures, moments, milestones, and turning points in Polish history. These include important battles and illustrious individuals, alliances forged by marriages and choices of religious denomination, and meditations on the likes of the Polish battle slogan “for our freedom and yours” that resounded during the Polish fight for independence in the long 19th century and echoed in the Solidarity period of the late 20th century.

The experience of oppression helped Poles to endure and surmount various challenges in the 20th century, and Poland’s demonstration of strength was a model for other peoples seeking to extract themselves from foreign yoke. Patrice Dabrowski’s work situates Poland and the Poles within a broader European framework that locates this multiethnic and multidenominational region squarely between East and West. This illuminating chronicle will appeal to general readers, and will be of special interest to those of Polish descent who will appreciate Poland’s longstanding republican experiment.

• Sales Rank: #824624 in Books
• Published on: 2014-10-01
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x 1.80" w x 6.00" l, .0 pounds
• Binding: Hardcover
• 506 pages

Review
"The book provides even chronological coverage of a full 1,000 years of history and is exhaustive in scope, with the numerous subheadings lending it an almost encyclopedic quality. Dabrowski writes in an accessible, and in some places conversational, style, doing away with distracting jargon and replacing it with rhetorical questions, entertaining anecdotes, and well-chosen maps and images."
—Journal of Modern History

“A major achievement, lucidly and engagingly written.”
—Cosmopolitan Review

“The book is very readable and fluidly written. The action flows gracefully from one setting to another with appropriate transitions and cues along the way. Dabrowski’s presentation contributes fresh interpretations of events in several important respects.”
—Keely Stauter-Halsted, University of Illinois at Chicago

“Dabrowski provides an engaging and reliable overview of over ten centuries of Polish history. She has done so in a balanced, fair manner with regard to a broad range of controversial issues. And she has done so in a way to make the reader comfortable with matters for which he or she might bring relatively little in the way of previous knowledge or interests.”
—Paul W. Knoll, University of Southern California

“A work of truly impressive and painstaking scholarship, Poland: The First Thousand Years is enhanced with the inclusion of a list of illustrations, an informative preface, a Note on Names, a pronunciation guide, an eight page list of suggestions for further reading, and a thirty-nine page index. Very highly recommended.”
—Midwest Book Review Bookwatch

"A comprehensive, balanced, clearly written, and engaging new history of Poland . . . May Poland: The First Thousand Years find many readers. They will not be disappointed in what they see."
—The Polish Review

"Poland: The First Thousand Years deserves being considered as one of the most valuable synthetic depictions of the history of Poland ever penned by an Anglo-Saxon author."
—Acta Poloniae Historica

"In this sprawling and ambitious work, ... Dabrowski proceeds systematically from Poland's foundational myths, with their roots at the end of the first millennium, to the fall of Communism and the establishment of democracy in 1989. Dabrowski avoids academic prose, and even those with no background will find the text engrossing. Precise yet lyrical, she convincingly connects the lessons of Polish history to issues of universal import."
—Publishers Weekly

"Elegant writing with frequent vivid metaphorical language and skillful rearticulation of idiomatic and historic Polish proverbs into English make Dabrowski’s prose captivating and easy to read. . . . [A] well-written, informative volume.”
—H-Net Reviews

About the Author
Patrice M. Dabrowski has taught at Harvard University, Brown University, and the University of Massachusetts at Amherst and currently works at the University of Vienna. She is the author of Commemorations and the Shaping of Modern Poland.

Most helpful customer reviews

5 of 5 people found the following review helpful.
Patrice has provided different insights to Polish History. I ...
By Ronald Ostrowski
Patrice has provided different insights to Polish History. I have read the versions of Polish History by Davies, Zamoyski, Biskupski and others, and Patrice work stands apart as more readable and analytical. This history explores how some crucial decisions of Polish monarchs and Polish/Lithuanian nobility obviously had dire consequences for the long term future fate of the Polish and Lithuanian Commonwealth.

One wonders if the famous warrior monarch, King Batory, focussed more on developments on the Baltic, rather than of the Ottomans, or if the all too powerful nobility were less self-centred, when they vetoed military opportunities for the Commonwealth to explore expansions and consolidations of territories to the, South, East and the North, whether the wars of succession and subsequent disappearance of Poland and Lithuania from the map in 1795 would have occurred. If Prussia would have still existed as a ducal of the Commonwealth and Russia contained to the East.

But these are merely my musings. Patrice's approach to Polish history is objective and also takes into account the perspectives of the Orthodox Ruthenian nobles whom the Polish and Lithuanian Catholic nobles treated as second class, and the perspectives of the Polish and Lithuanian nobility who were at the time practicing the Protestant faith.

This is a very thought provoking account of Polish History, and worth a read for not only those unfamiliar with it, but also those interested in a different perspective of it.

1 of 1 people found the following review helpful.
Five Stars
By Joseph C. Ptasinski
Best history of Poland I have read. Extermely detailed.

0 of 0 people found the following review helpful.
Great read.
By rocky
Being Polish and just received this book...found it very informing! Great read.

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CONTENTS: * A Guide to Gothic Earth: A 128-page book by the author of Van Richten's Guide to Ghosts and Forbidden Lore that gives you all the rules and information you'll need to run adventures on Gothic Earth. Included are 16 character kits, a revised spellcasting system, complete rules for firearms and explosives, and a proficiency system especially designed to reflect life in the Victorian Era. * Red Tide: A chilling 32-page adventure in which PCs must face one of mankind's oldest enemies while exploring the gloomy waterfront of San Francisco. * Red Jack: The most frightening figure ever to stalk the streets of London is on the loose in this 32-page adventure. This time, Jack takes his unique brand of terror to Boston. * Red Death: An isolated mansion hidden in the mountains of eastern Europe is the setting for this 32-page drama in which the PCs must face death itself. * A full-color, poster-sized map of Gothic Earth. * A bonus full-color poster of the cover painting by renowned artist Robh Ruppel. * A three-panel DM Screen that places all essential reference charts at your fingertips.

• Sales Rank: #1724829 in Books
• Published on: 1994-10
• Format: Box set
• Original language: English
• Number of items: 1
• Dimensions: 11.25" h x 9.00" w x 1.75" l,
• Binding: Paperback
• 224 pages

Most helpful customer reviews

4 of 4 people found the following review helpful.
Gothic Earth adds spice to "steampunk" adventures
By Jaundiced Eye
The Gothic Earth setting is by far the most realistic adventure setting from TSR in decades, but, as noted in another review, successful play requires a good knowledge of the late 19th century, its customs, technology, etiquette, etc. This is NOT beyond the scope of anything required by any "steampunk" RPG, such as "Space 1889" or "Castle Falkenstein" or the "Cthulhu by Gaslight" 1890s campaign. Any background research into "our" world which has been done for any of those games is just as valid for Gothic Earth, and this campaign setting should actually require less mental gymnastics than "Falkenstein" or "1889."
The boxed set is VERY nice, and the maps and illustrations are unexpectedly beautiful (in a horrifically Gothic way, of course!), far above typical TSR standards, but the presentation and background of "the Red Death" entity (Gothic Earth's answer to the Voices of the Mists of Ravenloft) is rather feeble; most skilled GM's could come up with something better as a house rule. The mini-module, "The Red Death," which is included in the boxed set is, however, a very different matter; based upon Poe's "Masque of the Red Death," I adapted it to a "Falkenstein" game (it would have worked just as well in any other 19th century game) and shocked the heck out of my players; it is so obviously based upon the Poe story, however, that player knowledge can easily become a problem.
By and large, it's worth the price, and far less grim than Ravenloft itself.

9 of 9 people found the following review helpful.
Looking for a change in AD&D
By A Customer
This is by far the most original campaign setting in the AD&D line. While all other campaign settings are rather hack and slash, medieval settings. This setting takes you to 19th century earth in the 1890's. Where you can fight the villians some of the lords of Ravenloft were based after. You can fight Dracula, Frankenstein's Monster, Mummies in real Egyptian tombs, and many many more. The only problem is that to do a really good game of Masque, one must do a whole lot of research about the 1890's. I ended up reading 3 books about the History of L.A. where my campaign was taking place in. But if you love to do real good research for a campaign, this is the world for you! Oh, H.P. Lovecraft stories are really great adventure ideas for this setting!

1 of 2 people found the following review helpful.
Yeah, worth it
By Scott Rawlings
Being as Ravenloft is based on Victorian era gothic fiction the creation of this spinoff series seems like a forgone conclusion, why not bring the horror home to roost? It is a very good campagin package except for a few bruises and sore thumbs here and there. Some of the backstory is a bit shoddily written, and occasionally hackneyed. I don't know about you but when I come across references to Merlin or Atlantis in a game book my mind kind of shuts down and I skim past it. If you can weed out the clich�s you have a fine enjoyable game on your hands. I love the artwork, much of which is based on Victorian clip art. It's different, but that's not always a bad thing.

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Developmental Biology: A Very Short Introduction, by Lewis Wolpert

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From a single cell--a fertilized egg--comes an elephant, a fly, or a human. How does this astonishing feat happen? How does the egg "know" what to become? How does it divide into the different cells, the separate tissues, the brain, the fingernail--every tiniest detail of the growing fetus? In this Very Short Introduction, renowned scientist Lewis Wolpert shows how the field of developmental biology seeks to answer these profound questions. A distinguished developmental biologist himself, Wolpert offers a concise and highly readable account of what we now know about development, discussing the first vital steps of growth, the patterning created by Hox genes and the development of form, embryonic stem cells, the timing of gene expression and its management, chemical signaling, and growth. Drawing on scientific breakthroughs in genetics, evolution, and molecular biology, he illuminates processes that are deeply rooted in evolutionary history, revealing how information is held in genes whose vital timing in switching on and off is orchestrated by a host of proteins expressed by other genes.

• Sales Rank: #789317 in Books
• Brand: imusti
• Published on: 2011-09-02
• Released on: 2011-09-02
• Original language: English
• Number of items: 1
• Dimensions: 4.30" h x .40" w x 6.60" l, .37 pounds
• Binding: Paperback
• 144 pages

Features

• Oxford University Press USA

About the Author

Lewis Wolpert is Emeritus Professor of Biology as Applied to Medicine in the Department of Cell and Developmental Biology at University College London. A leading researcher, he is a member of the Royal Society.

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4 of 4 people found the following review helpful.
Detailed enough without being too overwhelming
By Ntropi
I just needed a brief review of developmental biology. I was impressed that it covered more than just vertebrates. This book served my needs quite well. The only problem I have is that I have not figured out how to enlarge the images when reading on the Kindle fire. It was difficult to see the images in great detail.

0 of 0 people found the following review helpful.
Garbage. Science texts should refrain from offering philosophical 'evidence' ...
By ben
Garbage. Science texts should refrain from offering philosophical 'evidence' as a scientific proof on hot button issues - such as abortion and human, two such examples this author addresses in a condescending and unprofessional manner. In light of this ergregious error, it's hard to take this text as a serious scientific work.

2 of 2 people found the following review helpful.
Very neat concept
By wannabe botanist
I love this book, it answers a lot of questions that could only be answered otherwise in much more cumbersome searches among several volumes.

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[W703.Ebook] Get Free Ebook Plain Girl, by Virginia Sorensen

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An Amish girl, Esther feels like "one black bird against the sky" in her plain clothes. So when she's forced to attend public school she's terrified. She fears the new world she must enter, fears the way she sticks out next to other kids, and--most of all--fears she may do what her brother did: run away and join the sinful but great wide world she's only just discovering.

• Sales Rank: #728055 in Books
• Published on: 2003-08-01
• Released on: 2003-08-01
• Original language: English
• Number of items: 1
• Dimensions: 7.63" h x .44" w x 5.13" l, .34 pounds
• Binding: Paperback
• 168 pages

Review
"A tender and wise book, and the details of Amish living are interesting and authentic."
--Christian Science Monitor

"A moving story that will be enjoyed . . . and appreciated."--The Horn Book

About the Author
VIRGINIA SORENSEN (1912-1991) was born in Utah, and it was her family's own stories that influenced her early novels of the American West.

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10 of 11 people found the following review helpful.
Plain Girl, Unique Book
By A Customer
Plain Girl is a very expressive story about an Amish girl who wishes, at times, that she was not. She looks up to her brother, Dan, who is around eighteen years old. He is her only sibling. His desicion was to become like themodern teenager. Their father was not happy about this. Dan was not allowed to return to their house. Then esther had to go to school for the first time.This school was not an Amish school. she gets exposed for the first time to the modern world. She makes a best friend even though her father didn't even want Esther to look at the strange children. Esther is torn. Which to choose? And during this whole mess, she gets the news that her brother wants to return to the Amish ways. She tries to help him with the plan he concocted. It will be hard. How will she get through? It is very well-written.I would recommend it if you can take sad things. I liked it because it explained Amish ways. It also explained the problems and highlights. Virginia Sorenson captures feelings extremly well.

6 of 6 people found the following review helpful.
Wonderful little book about growing up
By D. Mckinzie
I first read this book when I was a child in the 60's and I think it had been out a few years already then. I believe this book won some literary awards when it came out and it deserves them. The book concerns a young Amish girl who is beginning to grow up and realizes that she will have to make choices and have to decide for herself how she feels about things and what direction she takes in her life. Her older brother has left home to live out in the non-Amish world, leaving his parents and family upset and confused. Now Esther feels herself pulled into some of the ways of the world and she realizes how easy it is to make a decision that can change your entire life. She also begins to realize that she sees things a little differently from her parents and that may not be all bad. It's mostly a story about change and growing up, but it's not preachy. Since this is an older book, the kids don't play with electronics (there weren't any) but instead play things like Jacks and jumping rope, but the confusion and worry about growing up are the same and the book is very interesting and fun to read.

5 of 5 people found the following review helpful.
Amish Delight
By Bethany Joy Caddow
My daughter and I loved this book. It is such a powerful book about obedience and the consequences. It is a definite must read.

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Victory in Spiritual Warfare: Field Guide for Battle is an 8-session, adult Bible study. Pastor Tony Evans pragmatically teaches Ephesians 6:10-18 providing application so that believers can implement the truths of Gods Word to win the battle of spiritual warfare.

• Sales Rank: #1196883 in Books
• Published on: 2016-01-01
• Original language: English
• Number of items: 1
• Dimensions: 9.40" h x .50" w x 7.00" l, .0 pounds
• Binding: Paperback
• 189 pages

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[A986.Ebook] PDF Download Geometric Methods in Algebra and Number Theory: 235 (Progress in Mathematics), by Fedor Bogomolov, Yuri Tschinkel

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The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory.

Key topics include:

- Curves and their Jacobians
- Algebraic surfaceModuli spaces, Shimura varieties
- Motives and motivic integration
- Number-theoretic applications, rational points
- Combinatorial aspects of algebraic geometry
- Quantum cohomology
- Arithmetic dynamical systems

The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry; the text can serve as an intense introduction for graduate students and those wishing to pursue research in these areas.

• Sales Rank: #3970444 in eBooks
• Published on: 2006-06-22
• Released on: 2006-06-22
• Format: Kindle eBook

Review

From the reviews:

“This is a collection of articles on algebraic and arithmetic geometry most of which were presented at a conference that took place in Miami in December 2003. … this volume will be attractive for researchers and graduate students in arithmetic geometry. The surveys provided can serve as an introduction for them and offer guidance for further study.” (Ch. Baxa, Monatshefte f�r Mathematik, Vol. 152 (1), September, 2007)

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0 of 0 people found the following review helpful.
TOTALLY PROFESSIONAL
By Carlos Herrera
accurate careful speedy TOTALLY PROFESIONAL

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