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PURE MATHEMATICS BOOKS

Posted in Pure Mathematics (Monday, October 13, 2008)

Written by James Stewart. By Brooks Cole. The regular list price is $44.95. Sells new for $40.45. There are some available for $29.92.
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2 comments about Student Solutions Manual for Stewart's Essential Calculus: Early Transcendentals.
  1. If you want to pass your Calculus class, then buy the solution manual to the textbook. That seems like common sense but some students question whether or not they need it, or would rather pocket the extra $30. Big mistake, even if you are a math genius, which I'm not and never will be. This book not only shows you the answers to the odd problems but it goes through each step by step.


  2. This is a great book to have around when you run into problems with calc homework. It's nice to be able to just reach over and open this book to find a step by step solution to the problem your working on. I highly recommend this book to anyone who is using the textbook it relates to.


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by Richard N. Aufmann and Vernon C. Barker and Joanne Lockwood. By Brooks Cole. The regular list price is $143.95. Sells new for $94.98. There are some available for $59.92.
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2 comments about Introductory Algebra: An Applied Approach.
  1. I found this book to be a good beginning point for mathmatical studies. Having been a life long "problem math student" this book has made great inroads into my otherwise bleak mathmatical future. It starts at the most basic aspects of Algebra, Geometry, and polynomials finishing up in radical equations.

    From the student point of view, I have to say I have enjoyed this book far more than the previous 2 I have had the displeasure of having for a textbook, and I would reccomend it to others for ease of use, learning, and economy of time.



  2. When I tried searching for the book under ISBN, reply NO MATCHES. Searched again, using ISBN and title, reply NO MATCHES. Searched again, using ISBN, title and author, reply NO MATCHES. Now, I knew the ISBN I was entering was correct, but instead of a reply like; "NOT IN STOCK," kept kicking out NO MATCHES. Then I did the search of the book using just the title, the vendor or site does not allow a detailed description other than the name of the book. There is no reference to ISBN to aide with correlating the title search you entered and the exact book you're actually searching for? Still unsure if I had actually retrieved the book I needed, decided to order. Of course when I received the book it was not the one I was looking for. Called the vendor and they tried to state that, that was the book I had ordered. My reply was, if all that's kicked out is just the title, during your search without a coorelating ISBN your search is limited, and therefore you're still left with some reservations if whether or not you've actually gotten an exact hit, without a second verification like inputting the ISBN. My suggestion to you would be to change your responses to reflect that "you do not have the item on stock" and change the default on the search to allow advanced searches with title, ISBN and/or author, and not just use the title.

    One and only good thing you're guaranteed 100% money back within 7 days of receipt of book and/or item, now that's just for the item, but the customer eats the cost of shipping both ways. I don't agree with that aspect of the return policy.



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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by Edward Zaccaro. By Hickory Grove Press. Sells new for $24.95. There are some available for $24.95.
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5 comments about Real World Algebra.
  1. Almost all the books I purchase are bought with an eye towards introducing advance concepts in a fun way to a gifted upper elementary homeschooled student.

    This book is clearly fun and the introduction of each concept is simple enough that even a 3rd grade gifted girl can handle. I think it has fun uses. It can be used as a supplement to a regular Algebra text for an accelerated elementary student who just needs a quick explanation of what the concept is about.

    The examples are truly real as opposed to useless, star trek questions which one sometimes find in regular brick and mortar textbooks.
    A good supplement to have around the house for anyone with little kids who love solving Math problems.


  2. I use Zaccaro's books with alternative and home based students. All of his texts are fantastic.

    For a student who wants to learn, nothing could be better.

    If you have a question I have found it very easy to call or email the author and he responds quickly.


  3. My son began using this material in the gifted program at his school last year in 4th grade. He was always "bored" with math. I bought the book for him to do at home, and he is motivated to spend time learning on his own without coaxing. Very understandable and easy to use. He is able to apply the concepts in other learning situations.


  4. This book is really good and very useful information for Middle School kids. My son likes this book very much and he is enjoying with that.


  5. This summer we had a problem. My daughter had a 50 page math packet to complete. She had forgotten a great deal of what she needed to know to complete her assignment so she turned to this book. "It was amazing and it helped me to solve many of the problems. It explains things very well and the style is very easy to learn from. If my teacher taught this way, I would have aced every math test last year".


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by David Bachman. By McGraw-Hill Professional. The regular list price is $19.95. Sells new for $11.63. There are some available for $6.25.
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4 comments about Advanced Calculus Demystified.
  1. It's been a long time since I'd learned Calculus in H.S. and a bit in College -- when I needed a quick review, to do a couple of problems that cropped up at work, I stumbled across this book, and boy am I glad of that. Everything is explained clearly -- really clearly -- and sometimes with a touch of humor thrown in that makes the book so much more enjoyable to read.

    It was organized so well that I could immediately zoom in on just what I needed, and once I got to the right chapter, the info was well organized, well written, enabling me to review, get my answers, and apply it to the things I needed.

    Skimming other Calculus books in the bookstore, they were either too didactic, doing endless proofs (which I didn't really need...) or they were written so poorly that they didn't really help much. (Best way to compare books -- choose one topic, read about it in several books, see which book explains it best... this one did!) It stays true to the title "Demystified".

    If you're a bit beyond the intro level, such as in college, taking a math course or a few, this would be a great way to review before an exam, or a great way to get "another viewpoint" that might help you figure out what you're not getting from your dry, dessicated textbook. You should know that this book covers more advanced material than the very simple stuff, but frankly, it handles it so well that I didn't need to review the simple stuff to understand what I needed to. Imagine that -- a math book so clear that you can pretty much pick it up anywhere and just start reading! If you're a student taking "calculus I" in high school, much of this book will be beyond what you want, but you'll be able to understand it.

    What's more, I'd recommend it to anyone who is in a field who might stumble across a Calculus idea or problem, such as computer geeks (such as myself), or engineering professionals, etc. Pick it up & if you can't read it now, put it on the shelf -- you'll be glad it's there when the need arises. An excellent book, that "hits" just the right level of review and learning so you can really understand it, and use it.


  2. This book deserves 10 stars. It is simply the clearest and easiest to understand math book on a difficult topic that I've ever seen. Out of the over 1300 things that I have reviewed on Amazon, I would give this book the highest rating. I completely agree with Darkman in his earlier review, that the book is so good that you can just pick up anywhere and understand what is being said. I've seen a lot of math books over the years that purported to be what this one is, and were not, most of them not by any stretch of the imagination. As he says, most just cover proofs, which isn't that useful for most people, or try to teach the applied practical side but just make it too difficult.

    The problem is that most people who are good at math, good enough to get a Ph.D. and write a book like this, are so good at it that they just don't understand the average college student who doesn't. For some amazing reason, Bachman does, and if all math teachers were like him, math would actually be, if not a popular subject, at least far more than it is now. If you are considering this book, just pick it up and start reading anywhere and you'll see what we mean. It's truly an amazing feat of writing and math teaching and the book is worth 10 times the actual purchase price, in my opinion, in all the time it will save you and all the hassle you'll avoid trying to understand difficult concepts.

    Not only that, but the way Bachman presents the subject, despite the overall technical level, he is still able to show you the beauty and elegance of the language of advanced calculus despite that.

    Finally, the worked problems are well chosen and very clearly solved and illustrated. I just can't say enough good about this book. I've looked for a math book this clear for advanced calculus and other advanced math topics for almost 35 years. I'm so excited by this book that words don't really do justice, and at my age there's not a whole lot that I get really excited about anymore. They should inaugurate a new Nobel Prize for teaching excellence and give the first one to Bachman so he can retire from day to day college teaching and continue to write books like this.


  3. When you're studying Advanced Calculus on your own you need three things (apart from work and the right mindset, of course:)
    -A good intuition about the nuts and bolts of the problems.
    -Many, many exercises.
    -A source for formalism and other theorems that are important.

    David Bachman's book is amazing in that it is the first book i know that can give you the first point and a bit of the second. But! Do not expect to learn Adv. Calculus using this book alone.

    Firstly there simply are not enough exercises. Secondly, it has some important omissions (there is nothing about the Implicit Function and Envelope Theorems, which are essential in Differential Calculus).

    But if you arm yourself with this wonderful little book (They DO say it's a companion for more advanced texts in the cover), with a good source of solved problems and any regular Calculus textbook and work them over you should be in good shape.


  4. I took a course in vector calculus and linear algebra 15 years ago but was forced to drop out of college and have forgotten most of the material. I am preparing to go back to college and complete a degree, so I want to get caught up. This is not a bad book as a supplement to a good text, but it's not a good text book on its own. I thought I'd be able to use this by itself, but I ended up using my calculus textbook to actually learn the subject matter, then I used this text to fill in the gaps and review.


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by David S. Dummit and Richard M. Foote. By Wiley. Sells new for $82.95. There are some available for $59.95.
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5 comments about Abstract Algebra.
  1. This book is the best to understand hard concepts of abstract algebra. The exposition is excellent and it is easy to find anything you need.


  2. Compare this book to certain other ones (like Lang's Algebra, Hungerford's Algebra, etc.) and you'll agree, this one is way better. Most other books are too terse to study from, especially if you're studying on you own. But this one seems to cover the material pretty well, without falling into that trap.


  3. This text will freak you out at first if you have never done proofs, or linear algebra at a rigorous level. My professor said that linear algebra and mathematical maturity are definitively things to possess before attempting to deal with this text, and not having those two things was a disadvantage.

    However, if you're on your own (as I have been in my study of math), I can recommend some great preparatory books.

    I am working on some analysis and algebra and the following have helped me:

    Modern Algebra and Trigonometry - Moore (may be out of print - great book though)

    Elementary Real and Complex Analysis - Shilov (calculus, basic measure)

    Linear Algebra - Shilov

    those three texts should get you to a point of mathematical independence where you may conquer dummit.


  4. D+F tries to straddle the line between being a book for advanced undergraduates and a book for graduate students and does a decent job. It is fairly readable, with many excellent exercises and lots of examples. The book also covers all the material in the standard graduate algebra sequence. The section on group theory is particularly good.

    I think the biggest problem with D+F is that it is bland. The exposition isn't a joy to read and full of motivation like that of Halmos, Stillwell, or Eisenbud and it isn't full of deep insights like that of MacLane, Lang, or Artin. In addition Category Theory is pushed off to an appendix at the end of the book rather than integrated through the text. Finally the book is expensive and the binding is terrible.

    If you want to learn algebra I would recommend purchasing some of these cheaper more focused texts since almost everything in D+F is treated better elsewhere:

    Basic Algebra - Mac Lane + Birkhoff - Algebra 3rd Edition
    Galois Theory: Stillwell - Elements of Algebra, Artin - Galois Theory
    Commutative Algebra: Eisenbud - Commutative Algebra With a View Towards Algebraic Geometry
    Homological Algebra: Weibel - An Introduction to Homological Algebra

    If on the other hand you are already fairly comfortable with algebra and are looking for a one volume reference I would just buy Lang. It is less than half the price, more advanced, and has more material.


  5. Dummit and Foote contains just about everything an undergraduate ought to know about abstract algebra. In addition, it is written in a more user-friendly, down-to-earth fashion than, say, Lang's Algebra is.

    The pro's have been discussed in other reviews and include: clear development of group, ring, and field theory; tons of exercises at the end of every chapter; numerous examples scattered around the text; sylow theorems (for group theory, imo, it's important, and not every algebra book does sylow stuff!); great introduction to exact sequences (useful if the reader is going into algebraic topology anytime soon. ugh!); galois theory is pretty clearly laid out; and, the third section of the book has some neat topics the reader can check out (which are, I think, commutative algebra, homological algebra, and representation theory introductions, as well as a small section on category theory at the very end).

    The con's of D+F are the price (it's very expensive!), the binding (it's horrible!), and some of the sections are much harder than others and D+F doesn't do as well a job at explaining them as in many of the other sections (the tensors section sticks out in my head, and they wait something like 100 pages to explain "tricks" for figuring out the structure of finite groups after explaining some of the sylow stuff (eg., they wait to tell the reader about how to "pin small groups against one-another" and to make use of the sylow n! trick). Also, D+F introduce modules before vector spaces which I have mixed feelings about --- as a student who's already taken an algebra class, I love the "flow" of the lessons; as a student who remembers what it was like to try to imagine what modules "looked like", it makes me cringe to think that they didn't introduce vector spaces first.

    Overall, wonderful book. One of my favorites of all time. DEFINITELY have it, and if you study from it, you may feel more comfortable supplimenting it with Herstein's Algebra, Artin's Algebra (which are just as hard) or Fraleigh's Abstract Algebra, Gallian's Abstract Algebra, or Rotman's Abstract Algebra (which are much, much easier).


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by Elliott Mendelson and Frank Ayres. By McGraw-Hill. The regular list price is $18.95. Sells new for $9.99. There are some available for $4.78.
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5 comments about Schaum's Outline of Calculus (Fourth Edition).
  1. not that great, if you have a good text, you'll notice that the examples are pretty much the same


  2. In order to take an advanced statistics course (since I have been out of college awhile) I have to take a calculus test. They gave me a sample of 60 questions from prior years and recomended a text that cost $180!!!

    Well for 1/15 of the price of the expensive text, I can get about 55 out of 60 questions answered through this one. The ones that are not covered in this book pertain to complex integrations - I'll buy the Schaum's Advanced Calc text and get my answers and still have tons of money left over.

    *** Another thing is that the first few chapters are an excellent review of pre-calc, something I did not think I would need but it turns out to be more useful than I thought. ****

    The covering of some topics, like LaHopital's rule is better than most texts.

    I have not encountered typos yet - when I have that that I did - once I plunge into it more - turns out he is right and I was mistaken.

    ****Having numberous worked out problems and problems with at least the solutions to check yourself is GREAT FOR SELF STUDY ****


  3. This book does provide coverage of all major material in traditional calculus,however the manner in which the material is presented is similar to that of a condensed textbook, which is neither entertaining nor completely clear. If you want a quick study guide then this is the book for you,provided you understand most information you read in a textbook. All in all, this book is alright, but I wouldn't depend solely on it.


  4. I bought this book to supplement my class textbook when I was having trouble in Calculus I. I chose this book over the many other supplements available because I knew I could carry forward into Calculus II and Multivariable Calculus.
    As mentioned in many other reviews, this book provides plenty of practice problems, so if you're having an issue in one particular area in class or in the class's textbook, this is a good place to go to really thoroughly understand it. They provide a decent number of examples and solutions. Within each chapter are explanations of the lesson, followed by example problems with step-by-step solutions, and finally "Supplementary Problems" for you to solve on your own (though there are no answers in the back for you to check your work). It's also got some really good lists of trig formulas, geometric formulas, common integrals, and common derivitives.
    The only thing I dislike about the book is that the explanations are rather poor compared to a textbook, but it's hardly surprising seeing as how this is an outline and that it covers topics from the beginning of Calc I all the way through differential equations of first and second order in under 600 pages.
    I would totally recommend this book for the student looking to supplement a confusing textbook, or looking to brush up on concepts that have gotten a little rusty.


  5. This book is great for when you're beginning Calculus, but it doesn't give intense hard problems for it. Great study guide to review the basics but isn't the hardcore stuff.


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by Robert F. Blitzer. By Prentice Hall. The regular list price is $149.33. Sells new for $79.33. There are some available for $48.05.
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5 comments about Algebra and Trigonometry (3rd Edition).

  1. First off Robert Blitzer is a smart man but this book is poorly written.

    When going through some practice exercises i found that the difficulty kicked in right away, giving me no time to get used to the concept of the problem i was faced with. To add insult to injury some problems were hard to solve since they left blank on how to accomplish solving the task....

    I also felt his tendency to use excessive amount of word problems led me to belive this was wriiten for a master level college class.


  2. I used this book for an accelerated Algebra/Trig class at the college level. I found this book to be one the best math books I have ever encountered. When examples are given in the text it goes step by step and for most, explanations of what is being done. Other texts that I've used have skipped steps and left you wondering how did they get from A to Z?

    I wasn't always able to make it to class, but the examples and explanations did not loose me and I was able to play catch up successfully on my own with this text. I can't say that about any other math text.

    I must agree with the other person who wrote a review and said it would sure be nice if Blitzer had a Calculus text (though Larson is a good Calc author). Calculus would have been a breeze with a Blitzer book instead of a stuggle (had to buy a Larson book to supplement by school's Calc book choice).


  3. This book teaches a real understanding of the concepts, not just memorization or how to enter the data into a calculator. I am returning to college after a 27ish year hiatus, and needless to say, needed some brushing up.

    The first text that I attempted to use was given to me by a co-worker and omitted much of the understanding needed to progress.

    We, as a nation, need to LEARN again, not memorize, and this book actually teaches!

    Bravo!


  4. First, I wouldn't say Blitzer's books are as great as hyped...a decent portion of explanation was wordy, convoluted and confusing. I mostly stopped reading the book and only took notes of the teacher's explanations.

    I have to disagree about exercise difficulty. Each chapter or section started with easier exercises which increased in difficulty. However, in the 2nd Edition there were quite a few errors in the answers to odd-numbered problems in the back of the book, so if you couldn't arrive at the same answer you wondered if you were really wrong or not! Had to wait until the next class to find out...bad!

    My HUGE GRIPE is our college makes a big deal of all teachers (with the exception of ever-changing technology/computer texts) using the same book...but WHAT'S THE POINT? Each book is designed to cover several courses so the textbook publishers can rake in BIG MONEY for their thick book. The next year, they add some different charts and change some problems so you can't get by on your old edition if the college goes to the next one...which the college ALWAYS does, for no benefit...regardless of the errors you must put up with, that are undoubtedly a result of the pressure to constantly "upgrade" the book.

    So, you buy a book that is SUPPOSED to cover at least 2 courses, you use less than half of it, then when you take the 2nd course, you have to RE-BUY IT!

    In addition, they now market books with CDs using the publisher's own online-course website instead of the schools...which you cannot access unless you buy the new-edition book with THEIR CD. The stupid college uses the publisher's online-course website even if the college's own online-course website is perfectly fine.

    So now I have to buy this stupid 3rd edition in addition to my 2nd edition, and I have to get the one with the CD. This is just the publisher's way of forcibly preventing people from recycling textbooks. If I am not allowed into the publisher's course website with a used CD, I am withdrawing from this college and transferring! I'm only at this college to take some courses required to transfer to a top college, anyway. I will GLADLY take them somewhere else!

    College deans pay attention...YOU DO NOT HAVE A RIGHT TO DEMAND COLLEGE STUDENTS WASTE THEIR HARD-EARNED MONEY MAKING TEXTBOOK MANUFACTURERS RICH...USE YOUR OWNED DARNED WEBSITES FOR ONLINE COURSES!


  5. my first go at pre-calculus i had the most horrid and difficult to follow text book in the world, and quite naturally failed the class. this book of my second go at pre-calc has been one hundred times better. difficult concepts are not dumbed down but rather explained in a way that makes them seem easy, examples in the text are well laid out, explained completely and linked to problems in the excersises that are similar. the excersises themselves progress from the easiest form of a problem to the hardest so one builds on the previous. honestly, buy this book, you will not be disappointed.


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by G. H. Hardy. By Cambridge University Press. The regular list price is $18.99. Sells new for $6.00. There are some available for $3.75.
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5 comments about A Mathematician's Apology (Canto).
  1. As Hardy himself makes clear in the beginning, he would never have written such a book if his mathematical powers had not failed him in old age. I do feel like this book is more an apology for not being a mathematician anymore than for having been one. As for all true loves, the time for judging and summings things up comes only when the joyful days of passion are over. I was hoping this book would give me an inspired first person view of what is higher mathematics and what is like to be a real mathematician. I found that it is not a good book for that, it doesn' t even try it. What it accomplishes instead is giving a precise, objective, cruel, marhematically clear picture of the drive, the ambition, the passion for excellence in any activity, be it a sport or a science that makes the life of the ones who dedicate their life to it so more pure and meaningful. It also poses some tough, fundamental questions regarding how much of your life one can dedicate to one single "abstract" passion without having to go trough some really bitter times and regrets in old age. My personal answer is that what really counts, in the end, is how much you loved and, what was sorely missing in Hardy's life, how much you express that love. But for some people, gifted and cursed at the same time, that is still not enough.


  2. One of the most scholarly books that has been written in the 20th century, G.H. Hardy's thrilling memoir tells a story that other people are too afraid to discuss. Hardy's depressing transition from mathematical genius to near vegetable is a telling example of the archtypical fear of cerebral atrophy that resides among even the most resilient and foolhardy among us. This concise "novel" reads fluidly and especailly so for when written by a mathematician and serves to enlighten the world of the multi-talented nature of a world class mathematician. All in all this book is a rare find and should be read by people of all ages: whether a young aspiring mathematician or an old decrepit intellectual.


  3. This short book has long been one of my favorites. Hardy's philosophical musings may depress some but they ring so very true. Hardy is quite honest about life, art, mathematics, and his failing abilities. For example, his statement, that a very small minority of us are really good at what we do may sound depressing today. But the fact is true.

    I can recall when words such as super, excellent, awesome etc. were used judiciously and very rarely to describe truly significant achievement. Today, doing one's job, albeit poorly, is described as excellent.

    What I most like about Hardy's book is it's honesty and respect for the reader. A suggestion. Read the book proper BEFORE wading through C.P. Snow's forward. After about the second read tackle the forward.

    A must have.


  4. Hardy was a giant among early 20th century mathematicians. It is difficult to overstate his importance. He was one of the first to show that mathematics is as much art as science without having to have interpretation (such as Dunham's "Journey Through Genius...").

    This is what makes this book so poignant. Hardy realizes that he no longer is Hardy. In today's mathematics world that may not have been the case given the immediate communications possible between humans which may have kept him going. However, it may have been that he was suffering from the onset of dementia or Alzheimer's - it is difficult to tell given his admissions of not being up to the task - regardless, this book is overwhelmingly sad.

    Anyone who cares about math should read this and thank Hardy for his contributions - plus they should have a copy of "A Course in Pure Mathematics".


  5. I learned about this book while reading another book, "Prime Obsession" and it awoke my curiosity mainly for two reasons: because it was a interesting subject, an apology for being a mathematician, trying to explain the purpose and usufulness of mathematics, and because I wanted to know more about Hardy's life, since I knew a few things about the nice story of this mathematician and Ramanujan. This is a brief book, there is a foreword that serve as a brief biography before enjoying Hardy thoughts, which by the way really grab your attention, even you learn a few lessons of simple mathematics proofs that try to show the beauty of it. I consider this book valuable for everyone.


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by Richard Hamming. By Dover Publications. The regular list price is $22.95. Sells new for $10.99. There are some available for $8.95.
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5 comments about Numerical Methods for Scientists and Engineers.
  1. Throughout the book, that motto is repeated.

    By reading and absorbing the material in this book, the reader is left with the tools and the insights necessary to derive their own numerical methods.

    No longer will numerical methods be memorized as textbook formulas -- now the reader can adapt and derive a formula to solve a specific problem, instead of trying to fit one of a small number of textbook formulas to a problem.

    The distinction is made between numerical analysis and numerical methods, with emphasis on the latter.

    The book is roughly divided into two parts. The first part covers classical numerical methods, using classical error analysis (truncation error, roundoff error). The second part reexamines these methods under the frequency domain, analyzing how numerical methods affect various frequencies (the "transfer function" approach).

    Numerical methods are derived under an information theory model, such as by finding a quadrature formula of the highest polynomial degree of accuracy, given limited information about the function and its derivatives.

    Matrices and linear systems are not discussed as much as one might expect, although one chapter convincingly leads the reader to question some classical methods.

    The content is well-rounded, introducing many readers to topics such as random number generators, difference equations and summation formulas, digital filters and quantization, discrete fourier transforms and the FFT, and orthogonal polynomials. A background in calculus is all that is needed.

    Many real-world examples and anecdotes are cited, but without too much detail or too many illustrations given.

    This book encourages the reader to ask: "What information is available about the problem? How can it be used to solve the problem? What are the limits of this information?" The approach is practical, not merely analytical.

    This book teaches what most other numerical books fail to teach: How to derive your own formulas, and thus your own solutions to problems. And that is perhaps the most important lesson of all.



  2. I sympathise with the reviewer who said this is one of the few
    books on numerical methods he could stand. I will go further
    and say this is a book that can be enjoyed. Example: section 2.8
    "The Frequency Distribution of Mantissas" explains why the
    leading digits of of decimal numbers are not uniformly
    distributed, a result that is surely counterintuitive. There is
    much more material of interest in this book too. It does
    contain standard material too but is more readable than many
    books. The author offers much practical advice and insight.
    (Hamming is a famous name in applied mathematics and electical
    engineering).


  3. Chances are, if you have a degree in engineering of any kind, you have seen all of the numerical methods outlined here before. However, the purpose of this book is not just to detail how to perform different kinds of calculations. Instead, the author is attempting to give you an intuitive feel for the mathematics as well.

    The book starts with an essay on numerical methods that discusses the book's five main ideas starting with its motto, which is the first idea - "The purpose of computing is insight, not numbers." The second idea is that it is necessary to study families of numbers and algorithms and to relate one family to another. The third and fourth major ideas are that of roundoff and truncation error, each of which is an effect of computing on finite machines. The final main idea is that of feedback and stability, where numbers produced at one stage are looped back to feed other stages of computations, and the result may or may not be stable.

    The remainder of the book then studies many families of calculations and numbers based on these insights. The book is divided into five parts - Fundamentals and Algorithms, Polynomial Approximation, Fourier Approximation, Exponential Approximation, and finally a miscellaneous section which talks about approximations to singularities, optimization, linear independence, and eigenvalues and eigenvectors of Hermitian matrices. As you can see, the idea throughout this book is that since numerical methods are the use of numbers to simulate mathematical processes, then all of these algorithms are actually approximations. Throughout the book there are clearly worked out examples with plenty of illustrations and also many exercises, some with solutions. Highly recommended.


  4. The price is immaterial. Hamming is the recognized expert in coding and many fields of mathematics. The writing is surprisingly easy to follow. (none of that - solution is left as an exercise for the student). You need this book if you do any kind of mathematics on a PC. We're talking DSP, simulations, whatever. Okay, price counts - it's cheap, outstanding info.


  5. What can you say of a hamming book. Ofcourse its a classic. the style would tell you, why the guy has to be so famous. I love the nonlinear root finding treatment.


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Posted in Pure Mathematics (Monday, October 13, 2008)

Written by McGraw-Hill. By Glencoe/McGraw-Hill. Sells new for $8.64. There are some available for $10.70.
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1 comments about Pre-Algebra, Parent and Student Study Guide Workbook.
  1. Very helpful as an additional tool with the text book. Good to keep at home and use as a pre-test vehicle.


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Student Solutions Manual for Stewart's Essential Calculus: Early Transcendentals
Introductory Algebra: An Applied Approach
Real World Algebra
Advanced Calculus Demystified
Abstract Algebra
Schaum's Outline of Calculus (Fourth Edition)
Algebra and Trigonometry (3rd Edition)
A Mathematician's Apology (Canto)
Numerical Methods for Scientists and Engineers
Pre-Algebra, Parent and Student Study Guide Workbook

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Last updated: Mon Oct 13 12:42:23 EDT 2008