Book Description
"When everybody zigs, zag," says author
Marty Neumeier in this fresh view of brand strategy. ZAG follows the ultra-clear "whiteboard overview" style of Neumeier's first book, THE BRAND GAP, but drills deeper into the question of how brands can harness the power of differentiation. The author argues that in an extremely cluttered marketplace, traditional differentiation is no longer enoughâtoday companies need âradical differentiationâ to create lasting value for their shareholders and customers. In an entertaining 3-hour read you’ll learn:
- why me-too brands are doomed to fail
- how to "read" customer feedback on new products and messages
- the 17 steps for designing âdifferenceâ into your brand
- how to turn your brand’s âonlinessâ into a âtruelineâ to drive synergy
- the secrets of naming products, services, and companies
- the four deadly dangers faced by brand portfolios
- how to âstretchâ your brand without breaking it
- how to succeed at all three stages of the competition cycle
For a quick peek inside ZAG, go to www.zagbook.com.
Customer Reviews:
Zag is Zagworthy.......2007-09-29
I purchased this book at the same time as the Brand Gap, being confident in the fact they'd both be helpful, well-written, yet densely packed tomes of information - and I was right!
Zag hones in on one element discussed in the Brand Gap - differentiation - and expands it into a 200-so page book. According to Neumeier, differentiation, or creating zag, is one of the most important elements of branding - and it needs to happen at every step of the way, from conception to naming to marketing.
The great thing about Zag is the way it presents the information - much like in the Brand Gap it follows a 'whiteboard', graphic-heavy, basic (but important) facts. This time around however, it pairs the basic format with a strong, easy-to-follow example through the faux development of an educational wine bar chain.
Neumeier then takes the reader through 17 steps (including some helpful exercises) you should take as a business owner, venture capitalist, or advertising professional when determining whether your product is zagworthy - or how to make it so it is.
In terms of why I gave the book 4 stars as opposed to 5...The last section of the book - once the 17 steps are completed and the wine bar is 'fully developed' - is a little bit dense/doesn't seem to flow as well as the rest of the book/series.
Also there is a decent amount of repetition between Zag and the Brand Gap, and I am hesitant in believing that people would pick up one without the other. Although it makes sense to reinforce the principles (and sell more books I'm sure) in some cases, it almost made it hard to differentiate some of the messages between the books, making me feel a bit cheated in that I paid money to read the same pages over.
I have a hunch Neumeier might take the 5 main principles found in The Brand gap and expand each of them into books like Zag did for differentiation - and I can't fault him for doing so. Zag is definitely an improvement on The Brand Gap in that it offers a focused "here's exactly what you can do" strategy, but it still remains general enough that virtually any level of professional (student, beginner, executive etc.) can sit down and walk away a couple of hours later feeling like they learned something.
Zag Zag Zigidy Zag de Zag.......2007-09-21
Knocked this one out in a single flight. Well written, easy to follow. Maybe a little too easy. Would have liked a little more meat. Consider this the Cliff's Notes to Differentiate or Die. Both great books, this is easier to digest. Neumeier is a brand genius, he gets it and he can present it well in a concise format.
A book that zags.......2007-08-23
Zagging is not a new concept. If you like business and performance management readings, probably you are familiar with it already, especially if you've read books by authors like Jim Collins (hedgehog concept), Chan Kim (blue ocean) or Seth Godin (purple cow).
This book provides a unique approach from a marketer's point of view to the concept of real differentiation in the marketplace. "When everybody zigs, zag". Stop being a follower, an imitator, and start being different, start zagging.
You can't stop reading this book, once you get started. It will take you one or two hours, which doesn't mean the author is not providing details and deep insights. In fact, he gives what it takes to make his points clear, captivating, and consistent.
David Aaker says in the back cover of this book: "The presentation alone is worth the price of the book". He is absolutely right. This book zags.
Best Branding Book Ever.......2007-08-22
This is the first review I've ever written on Amazon even though I'm an avid reader. I felt compelled to write this review as a sign of my appreciation for this top notch book. I've read several books on Branding, Identity, Marketing and none compare to this book. If you buy only one book on any of these categories, this should be the book.
Marty's illustrations alone are worth the price for the book. But it was his definition of Branding that brought everything into focus for me. I can't say enough about the book.
Grok branding like never before..........2007-08-15
So much has been written about branding... and so much of it is so dry, it's boring.
What Marty Neumeier has done is to make this essential discipline fun, exciting, practical, and reachable for us all.
If you only read one book on branding, this one will serve you well.
Book Description
At last, a mathematical explanation of how art works presented in a manner we can all understand. Kimberly Elam takes the reader on a geometrical journey, lending insight and coherence to the design process by exploring the visual relationships that have foundations in mathematics as well as the essential qualities of life. Geometry of Design-the first book in our new Design Briefs Series-takes a close look at a broad range of twentieth-century examples of design, architecture, and illustration (from the Barcelona chair to the Musica Viva poster, from the Braun handblender to the Conico kettle), revealing underlying geometric structures in their compositions. Explanations and techniques of visual analysis make the inherent mathematical relationships evident and a must-have for anyone involved in graphic arts. The book focuses not only on the classic systems of proportioning, such as the golden section and root rectangles, but also on less well known proportioning systems such as the Fibonacci Series. Through detailed diagrams these geometric systems are brought to life giving an effective insight into the design process.
Customer Reviews:
A very good seller!.......2007-09-28
It was very fast to get the product and I experience a very good seller!
Good Intro with examples.......2007-09-12
As a design student i have found this book to be very informative, yet it doesn't really get into too much detail which for me is good. This book is good for understanding the golden seccion and how it has been applied in some of the most memorable designs of all times as well as in architecture and other forms. If you want a full, no-details-left-out kind of book this is not it. The most important thing about this book is the examples. for begginers it really helps to see that proportion and composition is not just a matter of intuition or chance.
pretty good read.......2007-08-01
Good for students of design, it lay outs the basic geometric principles of composition.
I would expect a more in depth analysis of geometry and how it has been used in art and design (geodesics, tensegrity etc).
a good start!
Excellent Book; Excellent Condition; Trustworthy Seller.......2007-01-20
I first saw this book on the shelf at my local bookstore & decided immediately that "I must have it!" When I searched Amazon, I not only found the same book, but found it for about half the price. The book is an excellent help for designing. Also, the book was in brand new condition, as advertized. Lastly, I got the book in under a week (I believe it had been 3-5 days)! The seller made excellent time, since I used the book that week for a final project! Thanks a lot; I would be more than happy to by from this seller again. They proved to be dependable and trustworthy.
~J
Geometry of Design.......2007-01-10
This book was really good. I thought that I'd never be able to find a book that involved geometry and design, but this book covers all kinds of design, from architecture, sculpture, painting, and even car design. It's a very good book with a very cool lay out. I highly recommend this book.
Book Description
The four real division algebras (reals, complexes, quaternions and octonions) are the most obvious signposts to a rich and intricate realm of select and beautiful mathematical structures. Using the new tool of adjoint division algebras, with respect to which the division algebras themselves appear in the role of spinor spaces, some of these structures are developed, including parallelizable spheres, exceptional Lie groups, and triality. In the case of triality the use of adjoint octonions greatly simplifies its investigation. Motivating this work, however, is a strong conviction that the design of our physical reality arises from this select mathematical realm. A compelling case for that conviction is presented, a derivation of the standard model of leptons and quarks.
The book will be of particular interest to particle and high energy theorists, and to applied mathematicians.
Customer Reviews:
I am waiting for Dixon 's Octonians..........2007-02-10
I have not yet received my command. P. MERAT
Mathematics behind physics.......1997-09-29
This is an excellent book for those who want to study Hamilton's quaternions, and other algebraic structures, used in modern physics. Dixon believes that octonions and triality of Spin(8) are essential in understanding particle physics. This clear exposition contains many ideas which have gone unnoticed from other researchers. The book is a treasure trove for mathematical physicists. The author also compares the Cayley algebra of octonions to other algebraic systems used in physics: matrices and Clifford algebras, in particular the Dirac algebra.
Book Description
This classic reference book on biblical numerology provides a complete synopsis of the spiritual significance of numbers found in the Bible.
Customer Reviews:
Numbers In Scripture.......2007-08-03
E.W. Bullinger was a genius and I think every Pastor and Sunday School Teacher should have a copy of this book. It is somewhat technical reading but very interesting to see how numbers are so important in the Bible.
AWESOME.......2007-05-12
EVERY CHRISTIAN SHOULD BE REQUIRED TO READ/LEARN THE 'SECRET' GOSPEL
HIDDEN IN THE NUMBERS..........THIS BOOK IS THE BEST WRITTEN ON THAT SUBJECT.
AMAZING.......2006-03-16
IT WAS GREAT, I LEARNED A LOT. IT POINTS OUT THINGS WE NEVER THINK ABOUT.
Divine Numbers.......2005-12-17
This book was instrumental in understanding numbers as they apply to spiritual significance. God unfolded a story in my life and numbers were His way of communicating timing. This book helped me to understand God's numbers. A friend of mine ordered the book for me. I had shared with him numbers and timing that were being revealed. My friend stated the moment he took the book in his hands from the sales clerk who handed it to him, he heard the words "that's Lavon's book." This book does not read as a novel. It took me a couple of readings of different passage to understand its depth. I think the book is wonderful in that it reveals God's order and preciseness. This book was instrumental in my writing my book, thus it was "Lavon's book."
Will help anyone discern between intelligent design and evolution........2005-11-24
Other reviewers have done a great job of explaining
the value of this book to a bible student. I wish to
point out it's great value for other purposes.
For instance, if you wish to compare intelligent design
to the theory of evolution. It presents an overwhelming
amount of evidence that can't be ignored. Although written
in 1894, on pages 50-51 this book gives the best definition
and explanation of what is today called liberalism that
I have ever read. Very enlightening and worth the price
of the book for the info in those 2 pages alone.
Book Description
From the reviews: "The 2nd (slightly enlarged) edition of the van Lint's book is a short, concise, mathematically rigorous introduction to the subject. Basic notions and ideas are clearly presented from the mathematician's point of view and illustrated on various special classes of codes...This nice book is a must for every mathematician wishing to introduce himself to the algebraic theory of coding." European Mathematical Society Newsletter, 1993 "Despite the existence of so many other books on coding theory, this present volume will continue to hold its place as one of the standard texts...." The Mathematical Gazette, 1993
Customer Reviews:
Excellent book from mathematical standpoint.......2005-02-20
Very good intro textbook. It gives short, detailed preps to various coding areas (linear, cyclic, convolutional). The biggest advantage this book has is that it does not throw at You tonnes of unnecessary info (like many other thick books do). That is, it assumes reader has some basic understanding of algebra and probability theory. Let's say, it gives good theoretical presentation such that the reader gets good theoretical understanding, it is not example-based.
Average customer rating:
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Bezier and B-Spline Techniques
Hartmut Prautzsch ,
Wolfgang Boehm , and
Marco Paluszny
Manufacturer: Springer
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A Practical Guide to Splines
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The NURBS Book (Monographs in Visual Communication)
Accessories:
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Web Designer's Reference
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Introduction to Scientific Visualization
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Mobile 3D Graphics
ASIN: 3540437614 |
Book Description
This book provides a solid and uniform derivation of the various properties Bézier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design with the intension to give a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness.
The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.
Customer Reviews:
Good reference maybe.......2006-08-09
I'm not sure what sort of person would find this book useful. If you want to LEARN about Bezier or B-Spline curves, then I don't think this book is for you. The authors' stated goal was to "provide a solid and uniform derivation" of Bezier and B-Spline properties. I believe that they have succeeded, almost every factoid I've seen in other books is included and proved rigorously. What is NOT included is any sort of meaningful explanation of the concepts. The material is presented at a breakneck pace, with everything presented exactly once, and most often in mathematical notation rather than in English. This is a good way to pack a lot of material into a few pages, but it makes for pretty difficult reading. I really don't see how a person could possibly follow the exposition in this book unless they basically already knew the material.
If you already are familiar with Bezier and B-Spline techniques, or perhaps you are an expert in a related field like approximation theory, then you might find this useful.
So if the Authors acheived their stated goal, then why only the 3-star rating? I've recently bought quite a few of these books on splines, in preperation to write a chapter in my own (introductory) 3d math book. Most of the material in this book can be found in other books. Of course, all of the books have significant overlap, since they are covering the same subject. But if you could have a book that covers most of the same material AND also has more exposition, I'd go for the one with the more exposition. I don't think there's enough unique material in this book to trade off the loss of the much more graceful exposition in the other books.
In particular, if you're interested in *learning* about Bezier curves or B-Splines, I found these two books much more accessible:
An Introduction to Splines for use Computer Graphics and Geometric Modeling by Bartels et al. has a much slower pace - paradoxially this means that if you're learning the material, you will be able to read it FASTER since you can maintain a constant pace. It focuses on B-Splines and only stops breifly to mention Bezier curves as a general case.
The other book is Curves and Surfaces for COmputer Aided Geometric Design by Farin. He introduces Bezier curves and fully develops them, at a reasonable pace, before discussing B-splines. I personally found this approach to be better from a teaching perspective, since B-Splines are more abstract and Bezier curves are easier to understand. (Be warned that I have a rather old editition, the 2nd, I believe he's on the 5th now. I don't know what all has changed since then.)
Book Description
In light of the embattled status of evolutionary theory, particularly as "intelligent design" makes headway against Darwinism in the schools and in the courts, this now classic account of the roots of creationism assumes new relevance. Expanded and updated to account for the appeal of intelligent design and the global spread of creationism, The Creationists offers a thorough, clear, and balanced overview of the arguments and figures at the heart of the debate.
Praised by both creationists and evolutionists for its comprehensiveness, the book meticulously traces the dramatic shift among Christian fundamentalists from acceptance of the earth's antiquity to the insistence of present-day scientific creationists that most fossils date back to Noah's flood and its aftermath. Focusing especially on the rise of this "flood geology," Ronald L. Numbers chronicles the remarkable resurgence of antievolutionism since the 1960s, as well as the creationist movement's tangled religious roots in the theologies of late-nineteenth- and early-twentieth-century Baptists, Presbyterians, Lutherans, and Adventists, among others. His book offers valuable insight into the origins of various "creation science" think tanks and the people behind them. It also goes a long way toward explaining how creationism, until recently viewed as a "peculiarly American" phenomenon, has quietly but dynamically spread internationally--and found its expression outside Christianity in Judaism and Islam.
Customer Reviews:
A Quintessential History of a Controversial Subject Written by a Skilled and Non-Partisan Historian.......2007-05-29
Originally published in 1992, this superb history of the evolution of creationism, mostly in the United States, by University of Wisconsin-Madison professor Ronald L. Numbers fills a major gap in the literature on the subject. The landscape of the evolution/creationism debate is filled with polemical works attacking evolution and advancing the cause of creationism/intelligent design, or vice versa, but there are few serious, sophisticated, and dispassionate histories of the debate. "The Creationists" is the gold standard if one is seeking to understand the history of the interplay between competing world views--evolutionary biology versus Judeo/Christian understandings of human origins--rather than learn arguments for the polemical battles currently taking place. While complete objectivity is beyond the capability of anyone, Numbers seeks to tell the story of this debate impartially as possible. To a very great degree he succeeds, and we all benefit.
In "The Creationists" Numbers pulls back the curtain beyond the high-profile Scopes Trial of 1925 and the recent textbook battles to focus on a less well-known but a remarkably interesting and complex story of how those firmly believing in the inerrancy of the Bible sought to deal with Charles Darwin's evolutionary theory. There is an extraordinary cast of characters in this effort ranging from George Frederick Wright, who published "Man and the Glacial Period" in 1892, to Wendell R. Bird who developed a political strategy to demand the teaching of creationism alongside evolution in the public schools in the 1970s. These divergent characters, the organizations they created, and the religious traditions they represented all competed amongst themselves on how best to counteract the effects of evolution. One of the virtues of this book is Numbers' commitment to unraveling the complex differences among those advocating creationism. He found a stormy history as creationists fought among themselves to define their ideas and make their arguments to others.
One of the revelations of "The Creationists" is that for the three-quarters of a century after the publication of Darwin's "On the Origins of Species" in 1859 most of those involved in the creationist debate sought to rationalize the two belief systems. As Numbers' concludes, "by the late nineteenth century even the most conservative Christian apologists readily conceded that the Bible allowed for an ancient earth and pre-Edenic life. With few exceptions, they accommodated the findings of historical geology either by interpreting the days of Genesis 1 to represent vast ages in the history of the earth (the so-called day-age theory) or by separating a creation `in the beginning' from a much later Edenic creation in six literal days (the gap theory)" (p. x). As an example, William Jennings Bryan, the creationist advocate in the Scopes trial, subscribed to the day-age theory.
This approach changed, slowly at first but then with accelerating support among evangelical Christians, as they sought to compress the age of the Earth into less than 10,000 years during the second quarter of the twentieth century. They did so by attributing the fossil record and geological disjuncture to the biblical flood and its aftermath. Thus was born the idea that humans and dinosaurs roamed the Earth together. By denying that the record of flora and fauna in the stratified rocks did not represent millions of years of the Earth's history, and that the flood explained everything found by scientists, the creationists found an argument for a young Earth convincing to many evangelicals. George McCready Price first developed the primacy of flood geology in creationism, publishing the "New Geology" in 1923 to lay out this position.
Price's argument, with modification and elaboration over time, became the dominant theory for most creationists. As the book "Scientific Creationism" argued in 1974, "The Genesis Flood is the real crux of the conflict between evolutionist and creationist cosmologies. If the system of flood geology can be established on a sound scientific basis, and be effectively promoted and publicized, then the entire evolutionary cosmology...will collapse" (p. xi). Numbers documents the manner in which Price's "new catastrophism" gained adherents among the creationists and became the dominant theory among those questioning evolution in the middle part of the twentieth century. As Numbers concluded, "By the 1980s the flood geologists had virtually co-opted the name creationism to describe the once marginal views of Price" (p. xi).
A recent update of this book allowed Numbers to add material on the recent intelligent design argument that emerged in the 1990s. Building on the concept of a young Earth and flood geology, this idea suggests that evolution cannot explain the ultimate complexity of many features of the universe and of living things, those are best explained by deliberate causation.
"The Creationists" goes far toward helping readers understand how creationism has come to its present status in the United States, as well as elsewhere. Ron Numbers is to be congratulated on a superb historical--as opposed to a polemical--study of this important subject in science and society. It is a model of historical scholarship and a testament to the enlightenment non-partisan analyses offer to the reading public.
The complex legacy of creationism.......2005-04-10
This is an excellent history of the emergence of Creationism in America. It is actually a somewhat complicated subject, no doubt the reason its critics and Darwinists tend to underestimate its force. It is interesting to see how the tenor of religious challenges to Darwin changed near the beginning of the twentieth century. Many religious critics of Darwin in the nineteenth, such as Agassiz and Mivart where not so unreasonable compared to the fundamentalists to come, in the triumph of crackpot theories. In fact Darwinism itself went into 'eclipse' toward the end of the century, and somewhere in this interlude the new strains of creationism emerge. The legacy of William Jennings Bryan remains of great interest, and he is rarely understood. In some fashion his conviction that the First World War was connected to Darwinism energized his opposition, and this long second phase of the Creationists. This is connection is often denied, but the we discover that Mencken in the Scopes trial period was promoting his Nietzschean selectionism Social Darwinism,rubbing salt into these wounds. So the picture is complex, and one wonders to what degree the rigidity of biologists isn't feeding their own nemesis.
An enlightening history.......2005-02-07
I have been reading about the scientific research of the earth's origins interpreted through the worldview of creation for many years now, primarily through the writings of the Institute for Creation Research. In general, I am interested in history and how thoughts and cultural assumptions develop. Since I am also interested in the evolution vs. creation debate, this book was a goldmine for me, learning how Christian scientists responded to Darwin in the nineteenth century, continuing from there all the way up to the time this book was written in the early 1990s. It was fascinating to learn how the response to evolution has changed through the years, not only from scientists, but the book even gives some glimpses into the responses of the laity. Through this book I have learned of some important historical figures in the creationist movement, and of the differing viewpoints of creationists throughout time.
I have been very interested in the political skirmishes in the schools and courts regarding this issue, but these are only mentioned in passing in this book because it's not about the politics of society but about the people who were key in influencing the development of current creationist thinking.
Considering that the author clearly states in the introduction that he does not believe in creation in any kind, the book is quite objective, I think. There wasn't that condescending smirking so often found in the writings of evolutionists when they discuss creationists and creation science. The history was reported quite even-handedly, I think. Some reviewers have claimed that the book is devastating to creationists, but I don't see it as such. If they see it as so devastating, then I think they must not have much knowledge about similar disagreements and politicking that goes on in the secular scientific community. It's amazing how much scientific research results in desired outcomes in order to get more grant money from the government or make the researchers or institution famous. Science is not so pure as some people who want to put it on a pedestal imagine.
While the sentence-by-sentence wording of the book sounds objective, by the time I finished the book I did have a feeling, though, that the important challenges creation science have brought against evolution were largely ignored, giving the implicit impression that creation science is weak and less scientific than evolution science. But this is a minor point, for the book is not really about the comparison of the two branches of study on the origins of the earth and life, but rather a history of the development of creationist thought, and in that regard, I think this book did a splendid job.
A New Edition Seems Appropriate.......2005-01-23
In 1440, Bishop Nicholas of Cusa of the Roman Church published a book titled On Learned Ignorance. This book and supporting books by Cusa are on the subject of God and a new creation theory. His theory is very different than Moses' Genesis and the three interpretations of the Genesis covered by Numbers. Why didn't Numbers include Cusa's new theory in this book? I speculate that Numbers was unaware of this new creation theory because it became available in the US only in 1979. Further, the title Cusa chose for his major book was not appropriate to modern researchers who use computer search engines daily.
Cusa's theism challenges some Church teaching. For instance, his God is infinite and his creation is finite; the universe has no center; all creatures are images of God; and God, the creation, and the Trinity are eternal. As seen, his creation theory is a major challenge to the evolutionary theory promoted today. Because of his challenges, Cusa's new theory took the slow path to the world book market, but through big personalities such as Galileo. Kepler, Bruno, Leibniz, and Cantor.
Today, the many writings of Cusa are becoming popular on the Internet with the help of the American Cusanus Society. I am writing a modern science book that features Cusa. Hopefully, the author of The Creationists and others take a look at the new creation theory of Cusa.
A better way to kill creationism.......2003-07-25
Ronald L. Numbers has done a great service to those of us who long to see the death of young-earth creationism. By tracing the history of the movement, he has shown that young-earth creationism arose out of the 7th Day Adventist church, not out of orthodox Christianity. (The fact that YEC leader Henry Morris endorsed this book should silence any canard from YECs that Augustine, Luther, or Calvin endorsed their views.) YEC is not accepted by any major evangelical college or institution. This fact alone should end the mis-association of young earthism with "evangelical Christianity" that is promoted by the media and anti-Christian writers.
Young-earthism can't be defeated by science, since its adherents reject science out of hand. It must be slain by the Bible and sound theology. The best way to start YEC's demise is to broadcast as broadly as possible the TRUE history of YEC - that is a 7th Day Adventist invention that fobbed off on orthodox Christian churches during a time of cultural confusion and decline, and that it displaced the orthodox Christian belief in a "day-age" interpretation of Genesis. Another point is that YEC is akin to "open theism" in its interpretation of the Bible, proving the sheer ludicrousness of an ultra-literal hermenuetic. While commentators fume about the continued resilience of creationism, the truth is that Intelligent Design and a resurgent Old Earthism have drastically weakened YEC's support in its own base. I think that we are nearing the time when a direct, theologically-informed assault on the ICR and other creationist bodies by Bible-believing Christians will break the back of young-earth creationism and restore Old Earthism to its proper standing. Numbers has given us a good place to start.
Book Description
Johnston develops his fascinating investigation of biblical numerology by showing the uniqueness of the eternal Word of God and its God-breathed inspiration.
Customer Reviews:
Snoozer.......2007-07-05
Don't waste your time buying this book...it is a BORE! Oh my goodness, I couldn't get past the first chapter. Save your money and buy something else.
Very handy..........2002-08-23
Why the repetetive use of the number "7" in the Bible? Why do biblical authors continually use the numbers "3" or "12" to describe certain things? Robert D. Johnston created a book, a very small book, which answers some of the questions behind the use of certain common numbers in the Bible. If you're a Biblical scholar, you may want something meatier like "Spice of Torah" by Locks or perhaps "Biblical Numerology" by John J. Davis. However, I must admit that this book is quite handy when a quick answer is needed.
Book Description
"
An important topic, which is on the boundary between numerical analysis and computer science…. I found the book well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find. Moreover, there are very few books on these topics and they are not recent."
–Numerical Algorithms (review of the first edition)
This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions—sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation. The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment.
This expanded second edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. New algorithms invented since 1997—such as Matula’s bipartite method, another table-based method due to Ercegovac, Lang, Tisserand, and Muller—as well as new chapters on multiple-precision arithmetic and examples of implementation have been added. In addition, the section on correct rounding of elementary functions has been fully reworked, also in the context of new results. Finally, the introductory presentation of floating-point arithmetic has been expanded, with more emphasis given to the use of the fused multiply-accumulate instruction.
The book is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design. Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find the book a useful reference and resource.
Customer Reviews:
Excelent book.......2007-07-24
For those interested in computer arithmetics this is the right book to start with...Excelent references to the state of the art and related work.
When every bit matters.......2007-06-17
Most people use floating point arithmetic in a fairly cavalier way. They treat double precision numbers as exact. And, although people use commercial libraries for transcendentals and the like, they seem unconcerned when they need to implement an offbeat function or approximation. Everyone knows the Taylor series for exp(x), for example, so how hard could it be to code that up? (Answer: easy to code, and equally easy to do very badly.)
In fact, IEEE standard arithmetic can not even represent 1/3 exactly. (If that's news to you, or if you think the difference doesn't matter, you should back off and find some introductory material before attacking this book). Also, orthogonal polynomials will give better accuracy and more controllable error than Taylor series, for polynomial approximations of given degree - over a decimal digit more accuracy, in a project I worked on recently. The first three chapters go over those basics, then get into the book's real content.
The next chapters address table-based methods - and tables appear at one point or another in many implementations.Then the author presents iterative techniques for square roots (and 1/sqrt, which is often more convenient), logs exponentials, and trig functions. Although accuracy is paramount, these algorithms also emphasize fast convergence using inexpensive operations. The next section, on shift-and-add algorithms, presents advanced, accurate, efficient algorithms including CORDIC. This section requires close attention, since this book is about principles rather than cut-and-paste coding, so people without immediate implementation needs might come back to it to give it the effort it requires. The book's last section deals with range reduction, i.e. converting the problem to a more tightly bounded one, where the algorithm's behavior can be better undestood and controlled. It also deals with rounding and other quirky cases in floating point arithmetic.
This book isn't for everyone - in fact, not many people these days need to implement "library" functions on their own. As a result, knowledge of implementing them well is increasingly scarce. If you end up in the unusual position of having to implement them yourself, possibly using an exotic computing technology, then this book will help you get the last possible bit of accuracy, and to get it as fast as possible.
-- wiredweird
Clear and complete.......2007-01-03
The book clearly explains the most important algorithms used by computers to compute many mathematical functions, with plenty of actual examples.
It is not a list of algorithms and tables, but rather a recipe book; actual computation of values and tables is left to the reader, better equipped with some numerical analysis package.
Despite the title, the methods can be applied (with some effort) to a broad set of functions (including many that are not usually considered "elementary", like Bessel or Gudermannian functions).
An extensive bibliography is included.
A must for those who are involved in designing and implementing such functions for a computer, but also an enjoyable reading for those who wonder how some functions can be computed.
Average customer rating:
- Very difficult to understand
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The Mathematics of Coding Theory
Paul Garrett
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Binding: Paperback
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Making, Breaking Codes: Introduction to Cryptology
ASIN: 0131019678 |
Book Description
This book makes a very accessible introduction to a very important contemporary application of number theory, abstract algebra, and probability. It contains numerous computational examples throughout, giving learners the opportunity to apply, practice, and check their understanding of key concepts.
KEY TOPICS Coverage starts from scratch in treating probability, entropy, compression, Shannon's theorems, cyclic redundancy checks, and error-correction. For enthusiasts of abstract algebra and number theory.
Customer Reviews:
Very difficult to understand.......2006-05-06
I took this course at the U of Minn (where the author is a professor). He has a reputation of being a good professor and a good guy (and I have no reason to doubt it). Unfortunately, his book is very hard to understand. While packed chock full of information, it is written in a **very, very** dense style. It makes a lot of assumptions about your prior knowledge and there are few examples to illustrate the theory. While this may be OK for a grad student in math (or even a bright senior), it is definitely not sufficient for a non-math major and most undergrads. For a much better book (although of more limited scope and rigor) check out Roman.
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