[F576.Ebook] Ebook Download Linear Algebra (Dover Books on Mathematics), by Georgi E. Shilov

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Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

• Sales Rank: #61209 in Books
• Published on: 1977-06-01
• Released on: 1977-06-01
• Original language: Russian
• Number of items: 1
• Dimensions: 8.38" h x .78" w x 5.64" l, .91 pounds
• Binding: Paperback
• 400 pages

Language Notes
Text: English, Russian (translation)

Most helpful customer reviews

140 of 145 people found the following review helpful.
Excellent Linear Algebra Text
By S. Murphy
This is a solid book, but requires a degree of mathematical maturity. Like many of the Dover publications of translated Russian mathematical texts, the book is clearly written, with good proofs that are easy to follow, lots of useful examples, and solutions to problems are given at the end of the book.

Readers should note that the author is a noted Russian mathematician, a former professor of mathematics at Moscow University, one of great centres of mathematical research and teaching in the world. Shilov collaborated with many important mathematicians such as Kolmogorov and Gelfand. If you have read any of Kolmogorov or Gelfand's excellent Dover books, then the style of this book is very similar to those.

77 of 78 people found the following review helpful.
Outstanding Book
By Alexander C. Zorach
I find it ironic that my two favourite Linear Algebra texts are this book and the Axler, for they are exact opposites: Axler shuns determinants, and Shilov starts with them and builds much of his theory off them. However, there is no book I have found that has such a deep and clear exposition of determinants. The first chapter alone makes this book worth buying.

However, there's an incredible amount of material in this book, and the later chapters are just as valuable. This is a dense book, but it is fairly easy to read once you get used to the style. I would recommend it to anyone learning linear algebra for the first time, as well as to people who want a deeper understanding or a different perspective.

Like I said before, this book is particularly useful when combined with a complementary text such as Axler, which provides a completely different approach to the subject. This book may come across as a bit old-fashioned, and some might say the material is obsolete, but I believe that everything contained in the book is useful, if only to give the reader a deeper understanding of the why's and how's of linear algebra. And plus: you can't complain about the price!

42 of 44 people found the following review helpful.
An Excellent Second Book on the Subject
By Jason Dowd
If you are trying to learn linear algebra for the first time, avoid this book. You will be better served by Schaum's Outline of Linear Algebra Fourth Edition (Schaum's Outline Series). However, if you already have a working knowledge of the basics, have realized the central importance of this subject, and are trying to reach a deeper understanding of it, this is the book for you.

Here is a brief rundown of the contents:

Chapter 1 is on the theory of determinants. It is excellent and forms the basis of the entire book. It also immediately shows the sole focus of this book: finite dimensional linear algebra.

Chapter 2 is on linear spaces. Here as in his other books, Shilov moves to the abstract very early in his treatment. Anyone reading this book should be prepared by at least having the background of Schaum's Outline of Set Theory and Related Topics. It is noteworthy that this book does not even admit the existence of infinite dimensional vector spaces. Indeed, a basis for a vector space must be finite by definition. This is quite nonstandard, but again shows the focus: finite dimensional linear algebra.

Chapter 3 treats systems of linear equations. This chapter moves us back to the concrete, but again this book is only for readers with a firm grasp of the basics. Gaussian elimination is never even mentioned, but Cramer's rule is discussed in detail and used frequently for the rest of the book as a powerful theoretical tool. This might lead the uninitiated to believe that Cramer's rule is actually how systems of linear equations are solved when in fact this is almost never actually the case. Cramer's rule quickly becomes computationally infeasible while Gaussian elimination scales much more gently. And this again shows the focus of this book: theoretical understanding rather than practical manipulation. Sadly, even the lack of scaling for Cramer's rule is not mentioned.

Chapter 4 treats linear functions. This chapter starts with the abstract notion of linear operators and then moves to matrix operations. Eigenvalues and eigenvectors are also covered in this chapter.

Chapter 5 treats change of basis and transformation properties. It has an optional section on tensors which is quite good, but notationally inconvenient.

Chapter 6 is on canonical forms. In many ways this chapter is the theoretical centerpiece of the book. The work requires a good elementary understanding of polynomial algebra, and proceeds at quite an abstract level. But it is excellent for anyone really wanting a firm grasp of this central topic.

Chapter 7 is on bilinear and quadratic forms. Again, it is quite abstract but excellent.

Chapter 8 is on Euclidean spaces and contains one of the highlights of the book in its treatment of the method of least squares. This one section is enough to make the entire book worthwhile.

Chapter 9 is on Unitary spaces. Key stuff for anyone wanting to learn quantum mechanics.

Chapter 10 is on quadratic forms in Euclidean space and contains key material for the student of classical mechanics.

Chapter 11 is on finite dimensional algebras and their representations. This entire chapter is marked as optional and is considerably harder going than most of the material up to this point. But again, it is just excellent and pretty good preparation for anyone interested in group theory and group representations.

Finally, Appendix A is on categories of finite dimensional spaces. This is definitely the most abstract part of the book, but is very well done and again, optional.

There are quite a few typos in this book and some exasperating language errors in some of the proofs like "not more than" instead of "at least as many", and the reader will need to keep a sharp lookout. Also, I wasn't thrilled about some of the author's notational choices.

Problems follow at the end of every chapter. They are generous in number and range from easy to challenging. Even better, many of the problems have solutions or at least strong hints in the back of the book.

This is an excellent book for anyone interested in mastering the theory of finite dimensional linear algebra, and that should include just about any student of mathematics, the physical sciences, the social sciences, engineering, finance, or computer science.

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[C152.Ebook] Download Classical Electromagnetic Theory, by Jack Vanderlinde

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Accentuates the relation of electric and magnetic theories. An extensive chapter on the solution of Laplace's equation explores most techniques used in electro- and magnetostatics including conformal mappings and separation of variables in unusual coordinate systems. Covers the use of image charges; introduces Green's functions; provides an expansive treatment on radiation. Features an abundance of examples and exercises.

• Sales Rank: #1802094 in Books
• Published on: 1993-06
• Original language: English
• Number of items: 1
• Dimensions: 10.24" h x .98" w x 7.28" l, .0 pounds
• Binding: Paperback
• 396 pages

Review
Instructor's Manual available from the Editor. -- The publisher, John Wiley & Sons

From the Publisher
Accentuates the relation of electric and magnetic theories. An extensive chapter on the solution of Laplace's equation explores most techniques used in electro- and magnetostatics including conformal mappings and separation of variables in unusual coordinate systems. Covers the use of image charges; introduces Green's functions; provides an expansive treatment on radiation. Features an abundance of examples and exercises.

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3 of 3 people found the following review helpful.
advanced text on electromagnetism
By Chee Lim Cheung
This is an advanced text on electromagnetism. It assumes that the student has already completed a course on elementary electromagnetism. It is recommended that the student study other elementary textbooks, e.g.,Beyond the Mechanical Universe by Olenick and Apostol, before tackling this book. A wide range of topics on electromagnetism is discussed. A student who has gone through this book should be ready for Jackson's classic standard text.

0 of 0 people found the following review helpful.
does not do what it claims
By Xiao Hu
This book claims to bridge the gap between undergrad book and Jackson's. But I do not find it achieved the goal. It contains some good sections and I use it only as a secondary book. I still have to use Jackson's as my primary source. But that is not to say I like Jackon's. I hate it like a lot of people do, but I do not find a better alternative. Electrodynmics is the only area that I have not found a very good grad level text book for self study. I am only studying the low frequency part. My interest is not in waves. So, my comments only apply to that part.

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[Z838.Ebook] Free Ebook Categorization and the Moral Order (Routledge Revivals), by Lena Jayyusi

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First published in 1984, this is a study of categorization practices: how people categorize each other and their actions; how they describe, infer, and judge. The book presents a sociological analysis and description of practical activities and makes a cogent contribution to the study of how the moral order actually works in practical communicative contexts. Among the issues dealt with are: collectivity categorizations, the organization of lists and descriptions, moral attribution and inferences, and the relationship between standards of morality and standards of rationality.

• Sales Rank: #4614481 in Books
• Published on: 2015-07-16
• Original language: English
• Number of items: 1
• Dimensions: 8.25" h x 5.25" w x .50" l, .80 pounds
• Binding: Paperback
• 288 pages

Review

"This book is exemplary in its coverage, providing a detailed discussion of how to approach membership categorisation analysis. It offers a useful breakdown of concepts and methods such as incumbency rules, the relationship between attributes and predicates and how typifications are routinely used to make moral judgements...� it is, in my view, one of the very best works in the field."― Lorraine Locke, London School of Hygiene and Tropical Medicine, UK, Sociology (Sage)

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3 of 3 people found the following review helpful.
A classic work in ethnomethodolgy
By A Customer
Lena Jayyusi's book is one of the finest and most rigorous treatments of the late Harvey Sacks's insights into the logic of person identification. It is a remarkable study, both in its empirical breadth of detail and in its systematically rigorous application of the principles of conceptual analysis. It expands upon Sacks's astute insights (in particular, his insightful and productive distinction between 'correct person identification' and 'relevantly correct person identification'. This distinction is elaborated by Jayyusi to incorporate yet a further domain of Sacks's work: the concepts of a 'category-bound activity' vis-a-vis a categorially-open one. She takes up these issues and exploits them to the hilt in a series of brilliant analyses of all sorts of communicative practices and textual materials. This is, to be sure, a classic in its field. And it doesn't age! The worked examples are still fresh and relevant but: the key issue for readers is to note the rigor of the analytical work. Rarely in 'sociology' do we encounter such logical acuity and demanding work. A work that will outlive many others in its field.

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[E975.Ebook] Download PDF Recessions and Depressions: Understanding Business Cycles, 2nd Edition, by Todd A. Knoop

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This book offers an examination of the empirical data of business cycles, the theories that economists have developed to explain them, and major case studies of recessions and depressions both in the United States and internationally.

• Includes case studies on major economic downturns in the 20th century, from the Great Depression to the 2008 financial crisis

• Presents 40 tables and 20 graphs of business cycle data

• Offers a bibliography of current and historical business cycle research

• Sales Rank: #394146 in Books
• Published on: 2009-11-25
• Original language: English
• Number of items: 1
• Dimensions: 9.30" h x 1.20" w x 6.10" l, 1.35 pounds
• Binding: Hardcover
• 280 pages

Review
"This book is a timely contribution to the ongoing debate about the causes of the current global recession. . . . Recommended. Upper-division undergraduate and graduate students, researchers, faculty, and professionals." - Choice

"College-level business libraries need this." - Midwest Book Review

About the Author

Todd A. Knoop is professor of economics and business at Cornell College, Mount Vernon, IA.

Most helpful customer reviews

5 of 5 people found the following review helpful.
For undergraduates
By V. Arcabic
I'm TA in macroeconomics. My master thesis was regarding business cycles.

The book explains some basic issues regarding business cycles for undergraduate students. Knoop insists on non-technical language, which makes text easy to read, but sometimes lack of some basic mathematics makes some parts confusing. Personally, I think that undergraduate students can handle some basic math. Especially, part on business cycle forecasting is pointless without some mathematical approach. I wouldn't recommend it as a basic literature, but as an aditional one. Also, graphical analysis is quite poor, but I realy like a lot of graphs which explain main text in more details.

The strongest part of the book are case studies which consolidate business cycles theories. Three points are common for all analyzed recessions: (1) they have international character, (2) they are followed by financial and banking crisis and (3) all analyzed recessions are connected with some economic policy mistake. Case studies are very suitable way for explaining complex issues regarding business cycles. However, introduction to main concepts of business cycles, such as lead/lag variables or stylized facts, isn't very well done. Partly because of lack of graphs, which could make some terms more understandable.

My personal objection is that book doesn't follow model-building approach, such as Williamson's (2011) 'Macroeconomics'. Of course, these are completly different types of books/textbooks. So, for beginers in business cycle research I recommend combination of these two texts.

Besides Knoop's, you could also consider Niemira and Klein (1994) 'Forecasting financial and business cycles', or 'Business cycle theory' by A. Lutz (2002).

0 of 0 people found the following review helpful.
College-level business libraries need this
By Midwest Book Review
RECESSIONS AND DEPRESSIONS: UNDERSTANDING BUSINESS CYCLES appears in its second updated edition to offer expert surveys of basic business cycle theories and the latest research on market failures in the aftermath of the events of 2008. These events sparked an extensive update here, offering clear explanations of business cycle theories and how they apply in light of the latest crisis. College-level business libraries need this.

0 of 0 people found the following review helpful.
Good book.
By Scott McGann
Great book and fills a void in the textbook market for business cycles. Should mention Austrian economics and marxism as compliments to the more widespread views in economics.

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• Sales Rank: #700432 in eBooks
• Published on: 2013-11-14
• Released on: 2013-11-14
• Format: Kindle eBook

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[T589.Ebook] Download A Student's Guide to Fourier Transforms: With Applications in Physics and Engineering, by J. F. James

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Telecommunications, acoustics and computer science. In the final chapter, particular attention is paid to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of many worked examples. Assuming no previous knowledge of the subject, this book will be invaluable to students of physics, electrical and electronic engineering and computer science.

• Sales Rank: #1026123 in Books
• Brand: Brand: Cambridge University Press
• Published on: 1995-03-31
• Original language: English
• Number of items: 1
• Dimensions: 8.98" h x .51" w x 5.98" l, .48 pounds
• Binding: Paperback
• 141 pages

Features

• Used Book in Good Condition

Review
'elegantly simple' New Scientist

Most helpful customer reviews

26 of 28 people found the following review helpful.
A five-star book
By conolophus
I was appalled at the poor reviews this book has received. It
has been a tremendous help to me as a student and now lecturer
teaching this material at post-graduate level. It is exactly
what the title says - a student guide. It gives a very clear
introduction to the Fourier transform using abundant graphical
examples. Multi-dimensional transforms also get a brief
mention, and the book ends with a simple FFT routine written in
BASIC. Any interested student like myself will find this fun
to play with. Compared with other more expensive, weightier
books apparently written to make the subject as obscure as
possible, James's book is a delightful concise 128 page read. The
reader should gain an intuitive feel for many of the important
properties of the FT which will help greatly before tackling
more in-depth treatments. I think it is much better value for
money than many maths books on offer. Those wishing for the
most complicated explanation of Fourier transforms possible,
with no diagrams, applications or humour could try the book
by G.H.Hardy instead.

15 of 19 people found the following review helpful.
Assumes too much from the readers
By Francisco Coutinho
This book consists in brief review of the fourier transform and a few applications.The brief review in the first two chapters is ok Only the essentials are given and the proofs are omitted.The problem starsts with the applications. There are applications to difraction of light to information theory and so on. However too much is assumed from the students with respect to those applications .After reading the chapters the students , i suspect, will ask what they have learned.A little more material explaining what the applications are about would improve the book a lot.It is almost useless in the present form

7 of 10 people found the following review helpful.
Not enough detail
By A Customer
I was a little disappointed with the book. Wanted a little more details and somemore solved examples. This book only introduces FT. It is a good book for the introductory classes in Physics and engineering, after that it is useless.

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