Reviews (4)

Very good for struggling in Real Analysis
There is no problem solutions for Real Analysis texts available in U.S. since most of the teachers believe that Math students in grad level should be more creative. However, not all students in Real Analysis are potential mathmatician. If they lost in class and must study by theirselves, they may feel frustrated missing all the stuff contained in problems. The material in "Principles of Real Analysis" may not superior much than other famous text(like Royden, I think Royden is clear enough but too much mysterious things lie in problems.). But use it with this workbook, you will find much comfortable in self study. It helps a lot not only in my homework assignment, but also in my understanding.

A must have!!!
This book rocks! It covers practically all the major topics of an introductory course in graduate Real Analysis. Excellent solutions that aid in the understanding of the material. This book's worth is immeasurable, or should I say, non-measurable.

Must have one
Great guide, must have for anyone taking Real Analysis. ... Read more

Subjects:  1. Functions of real variables    2. Mathematical Analysis    3. Mathematics    4. Science/Mathematics    5. Calculus & mathematical analysis    6. Mathematics / General   

Reviews (30)

useful text for an undergrad course
Hilariously, I found this book in a local library, in the section devoted to primary school and high school maths. I guess the "Algebra" in the title suggested this location to some librarian. Anyhow, not to worry. I informed the library and they will reshelve this book in a better place.
Excellent for an introductory abstract algebra book
This is a great book.It's introductory, appropriate for undergrads taking abstract algebra for the first time, but at the same time, it is also very comprehensive, useful for graduate students.Although it explains the material in great depth and at a relatively slow pace, it does so in a logically sound manner so that it can lead the reader to develop mathematical maturity.Like many more advanced books, it has good cross-references, helping people to develop connections between the different parts of the material, and allowing the reader to jump around once she has mastered the basics.
too wordy
This book is a standard one for graduate-level algebra courses.I practically wore mine out over a year-long course, and came to know it intimately.Dummit and Foote is a book that teaches via wordy explanations and lots of examples.Of course, examples are very important.However, the explanations are often muddled and not clear (e.g. see tensor products).They frequently relegate important theorems or definitions to the exercises, and the organization is poor.Consequently, it can be very hard to find things later when you might need them.Also, the bindings on this book frequently fail.My book fell apart very quickly, and I know other students who had the same problem.I recommend Rotman's Advanced Modern Algebra instead of Dummit and Foote. ... Read more

Subjects:  1. Algebra - General    2. Algebra, Abstract    3. Mathematics    4. Science/Mathematics    5. Algebra    6. Mathematics / Algebra / General   

Reviews (10)

Algebra 1 by McGraw-Hill
My school uses the Algebra I book by McGraw-Hill for the Algebra 1 course. This book does not teach concepts well; just by flipping through the pages, one can tell that it is filled with problems, but has few explanations or examples. If you have a choice, only use this as a workbook, as it does have some good problems.

DON'T BUY THIS BOOK!!!!
My name is Sarah and I attend Ridgeway High School located in Memphis, Tn. I am in the 11th garde. I'm taking Alebra II right now, but I remember dealing with that book. It is not a good book. They have pages put in the wrong places. They will tell you to do a problem and you wouldn't know a thing about it, then at the end of the chapter, it will show you everythign about it. I encourage you not to buy this book. I would not waiste my money!!!

High School Math Teacher
I must agree with the other reviews:this book stinks.It is not organized in a logical order.For instance, in section 1-1 students are expected to translate verbal expressions into algebraic ones.To do this, a student needs to understand order of operations, which isn't introduced until a later chapter.If you are a teacher picking an Algebra 1 book for your students, don't pick this book. ... Read more

Subjects:  1. Algebra - Elementary    2. Algebra - General    3. Mathematics    4. Mathematics - General    5. Science/Mathematics    6. Juvenile Nonfiction / Mathematics / General   

Reviews (18)

Be careful, know the EXACT ISBN.
There are two types of electronic suppliments that come with this book.One is MyMathLab and the other is MathXL.The geniuses at Pearson decided to make them completely incompatible.So, if you get one code, it won't work with the other system.
Excellent reference text; Poor choice for neophytes
As mentioned, this book is amazingly compact, cramming three semesters of calculus and a bit of ordinary differential equations into just 800 pages. That conciseness also implies that much explanatory material and many illustrative examples are missing.
Vision and Perspective lacking in general; An average Student.
I agree that this book stinks,
Read more

Subjects:  1. Analytical Geometry    2. Calculus    3. Geometry - Analytic    4. Mathematics    5. Science/Mathematics    6. Calculus & mathematical analysis    7. Mathematics / Calculus   

Subjects:  1. Algebra - General    2. Mathematics    3. Science/Mathematics    4. Algebra    5. Mathematics / Algebra / General   

Reviews (1)

Made math fun!!!
This book helps when you miss a class session.I was able to keep up when I read the text on days missed. ... Read more

Subjects:  1. Algebra - General    2. Mathematics    3. Science/Mathematics    4. Trigonometry    5. Algebra    6. Elementary geometry & trigonometry    7. Mathematics / General   

Reviews (57)

Excellent Math Textbook
This is one of the best math textbooks I have come across. I used this book for two graduate level courses in Linear Algebra and found it wonderful. Strang divides Linear Algebra into 2 halves - the first half revolves around the solutions to the equation Ax=B and includes vector spaces and orthogonality. The second half is about eigenvalues and positive definiteness. The two halves are connected together by determinants. The book is very informally written and the author places emphasis on intuitive understanding rather than just proofs and equations. Highly recommended along with Strang's video lectures.

Excellent Linear Algebra book to supplement Prof Strang's Video lectures
Well, this book has a peculiar feature. It seems to be a good book when read alone. But if one reads this book along with Prof. Strang's video lectures from OCW MIT, it becomes the best book for linear algebra. The best way to learn a new subject is to learn from an authentic source. I strongly believe in the complete authenticity of this book to enrich Linear Algebra knowledge in the reader. This book is an exceptional resource for any engineering student irrespective of the discipline. I wish Prof. Strang writes more books on related areas and supplements them with his thoughtful video lectures.

This book is worth the Wronskian of two linearly dependentfunctions
I am sure he is an amazing mathematician, but I found this book to be the most horrible linear book I have ever seen. The text that was bolded and italicized was inconsistent and therefore very confusing especially in a book which employs bold face to denote specific mathematical qualities. Furthermore, the conversational style and lack of fluidity had a synergy that would drive even the craziest mathematician crazier. I would reco Lay's or Pooles or Bronson's (this might be my favorite because it is proof intensive). Again, he is a better mathematician than I will ever be, even if he was wasted, but I would not reco this book to any first semester linear student, go for one of the aforementioned authors. ... Read more

Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Calculus    4. General    5. Mathematics    6. Science/Mathematics    7. Textbooks    8. Linear algebra    9. Mathematics / General   

Reviews (4)

Not good.
I used the James Stewart 5e for the first quarter for calculus.But I switched schools and this school used the Hughes Hallett book.
Simply awful!
Let me start by saying that many will think this review is "not helpful" and I don't care.
Falls short where it counts
(Commentary below refers to soft cover Third Edition.)
Read more

Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Textbooks    5. Calculus & mathematical analysis    6. Mathematics / Calculus   

Reviews (20)

Decent text but by no means excellent.
This was the book I used in high school, and while it was certainly decent, it would not have been very useful without the aid of my excellent calculus teacher.
The best book of it's kind.
Every concept and example is explained with just the right amount of words and visual aids.The author has talent. The talent is his ability to pass the relevant information straight to the center of your brain, and the ability to bind the whole subject together.
The Best Calculus Book
This is the best Calculus book, or for that matter, one of the best text books I have ever studied. I transfered colleges and have had the opportunity to see other Calc books. This book (with the solution manual) explains the problems thoroghly and each problem section starts with the very easy, and the gradually moves into the challenging. It also works in real world applications to make your study of the subject much more interesting. I give the book an A+. ... Read more

Subjects:  1. Calculus    2. General    3. Geometry - Analytic    4. Mathematics    5. Science/Mathematics   

Reviews (15)

ADVANCED MATHMATICS
IT'S A GREAT BOOK FOR MATH LOVERS. YET IN THE EXAMPLES THROUGHOUT THE BOOK THE AUTHOR SKIPS MANY STEPS, SO YOU HAVE TO KNOW ALGEBRA, INTEGRATION, DIRRENTATION, AND SUMS VERY WELL TO UNDERSTAND WHAT THE AUTHOR IS DOING.

Dense; Not for Self Study.
VCR directions. Especially how it explains variation of parameters (2.3). If you are a math whiz, this text is for you. If not, try to get a copy of Dr. Kapoor's _Differential Equations: Step by Step E-Z Math Cards_. By the way, Zill's Solutions Manuel simply omits explanations for many odd-numbered problems, so good luck.

Old, but good
This is a good introduction to DE without alot of the unnecessary textual pollution often found in math texts.It's been around awhile (I used this one some years ago) but I found it was among the simplest, clearest, and best-written math texts because its approach assumes no prior knowledge of DE.From basic equations such as the famous Bernoulli to more complicated boundary-value issues, I was able to gain a solid and more complete understanding of the multivariable calculus I had just attended as well as preparation for higher math.Although it's been awhile, I do recall some errors in this book (as another reviewer has mentioned), so be aware.
Read more

Subjects:  1. Boundary value problems    2. Calculus    3. Differential Equations    4. Mathematics    5. Science/Mathematics    6. Textbooks    7. Mathematics / General   

Reviews (69)

Calculus From a Practical Point of View
I like this book because I hate limits.From a strict mathematical point of view limits are standard for explaining calculus.But from a practical point of view (physicists, engineers, economists) the notion of the infinitesimal may be the most appropriate.It's worth noting that Thompson's degrees of smallness are an accurate reflection of the theory of nilpotent infinitesimals described in "A Primer of Infinitesimal Analysis".A combination of these two books might make for a great introduction to practical and alternative-theoretical calculus.

Don't be afraid of maths.
If all maths teachers explained maths as clearly and gently as Mr. Thompson, very few, especially the ladies would no longer say I can't do maths. We are desperatly short of mathmaticians in this country and this usually starts when at secondary school level.
The concepts of calculus as clear as possible
A topic as complicated as calculus can be approached in many different ways, each appealing to a different kind of audience at a different level of understanding.I began my second college career as a physics major and consequently had to take calculus.Despite a firm grasp of precalc algebra and trig, I didn't really grasp the concepts at an intuitive level, which is necessary for facing anything other than very obvious problems cooked up for the occasion.Calculus Made Simple offered me a window into the crucial concepts and let me enter the mindset needed for tackling calculus problems.I read the original version without the benefit of Martin Gardner's improvements (I am sure he did a spectacular job) so I am not sure about the new version, but the writing did seem a little dated at times.It didn't bother me, but I know for others who might already be turned off by having to learn calc, it could just be another detail that pushes them away.A more modern approach is How to Ace Calculus, which I also found useful.Be warned, though, for those about to take calculus for engineering and the physical sciences, these books deal with grounding you in the most basic nuts and bolts of the subject.The problems you encounter in, say, the Thomas's calc textbook become waaaay more complicated than what you get in these guides.Regardless, I give the book high marks and hope you find it helpful too. ... Read more

Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Calculus & mathematical analysis   

Reviews (5)

Try something else
I had this book for my Statistics I class. I've read every bit of the instruction on the book (I read everything not just what's on homework). At the end I realised I learned nothing I was still confused. Unless you have a good instructor to follow you through every step, you should skip it. This is NOT something for at home students.

Clear and well-organized, but compromised
Triola's book is, for the most part, an excellent choice for an intro stats course. As an instructor, I find it relatively easy to work with, and the included STATDISK gives students many opportunities to analyze large sets of data without having to enter hundreds of values into calculators or computers. It also contains a lot of examples taken from actual data sets; this is the text that will deflect that ubiquitous "what's this useful for in real life" question from students. A few issues, though, dog the book. In order of importance:
Outstanding Textbook
I teach statistics at 2 colleges.I use this book.It is outstanding in its clarity and mathematical depth. Students with strong math backgrounds will appreciate the fine logic developed by this book as it explains statistics.The word problems are outstanding and relevant to applications acrossbroad fields of interests.The examples are explained thoroughly. This book is very well priced for the student who is struggling to pay tuition, fees, etc.Highly recommend this book to all serious students. ... Read more

Subjects:  1. Algebra - General    2. Mathematics    3. Probability & Statistics - General    4. Science/Mathematics    5. Statistics    6. Mathematics / Statistics    7. Probability & statistics   

Reviews (5)

You do not NEED this book.
I have had the misfortune of teaching from this book and I have also had to take courses from this authors other more advanced math books.
Absolutely Awful
This is the absolute worst text book I have ever had the misfortune of using, in any subject. Hungerford only provides part of the information you actually need to do the problems, and the answers in the back of the book are not reliable. I was forced to use this book for a class in college. If you have a similar misfortune, GET THE SUPPLEMENT. It is the only thing that will help to keep you sane. Make sure you check out the amazing resources availible online, like purplemath.com. This book sure won't be of any help. My professor is just like the author, so it made for a very difficult class.

Good book, although the images are not to my tastes
This book is different from many others, as the graphing calculator is an integral part of the instruction. A large number of the images are nothing more than what a graphing calculator will present when asked to plot a segment of a particular function. Since the material is standard precalculus, the decision whether to adopt this text will be largely based on your opinion concerning the role of graphing calculators in mathematics education.While there is no question that graphing calculators can be of help, they can also be a hindrance. Graphs are just another tool that enable us to better understand the concepts and are not a complete solution. All mathematicians are aware that diagrams can be inadequate and at times appear to be accurate when they are not.
Read more

Subjects:  1. Functions    2. Mathematics    3. Pre-Calculus    4. Science/Mathematics    5. Calculus & mathematical analysis    6. Mathematics / Pre-Calculus   

Reviews (18)

Beautiful Scaffolding
Linear algebra is the Babel language of sciences, this book helps you to get proficient in speaking it. Clear-cut presentation, mathematical rigor and historical gossip is in such an unison, that you'll crave for a sequel. This is the 18-th 5-star rating, you shouldn't hesitate any more!

One of the best introductory (modern) books I know.
If you need to learn Linear Algebra and Matrix Theory, your best starting point is this book.
a must buy...
Although titled as Matrix Analysis and Applied Linear Algebra, this book is one of the clearest treatments of pure linear algebra in general. Most of the theorems are proved and the proofs are very well motivated. There are no hand-waving arguments yet it is very easy to follow all the material contained. I also noticed that this book provides a smooth transition to introductory functional analysis for those who already possess the adequate real analysis background.
Read more

Subjects:  1. Algebra - General    2. Algebra - Linear    3. Algebras, Linear    4. Linear Algebra    5. Mathematics    6. Matrices    7. Science/Mathematics    8. Calculus & mathematical analysis    9. Mathematics / Algebra / General    10. Mathematics for scientists & engineers   

Subjects:  1. Algebra - General    2. Education    3. Science/Mathematics    4. Teaching Methods & Materials - Mathematics   

Reviews (37)

Very nice book
A must buy for students or researchers who need numerical methods. Comprehensive topics. A good place to start to deeper levels. Online book is good for quick look.

A classic, and still worth having
"Numerical Recipes" has been a staple in computing libraries for many years, and for good reason. It provides immediately usable implementations of all the workhorses of numerical computation, in production-quality form. Maybe there are better implementations out there, FFTW for example, but getting something to work correctly always comes before getting it to work fast. Numerical computation is a specialty, and vanishingly few of us are specialists. As a result, getting this much specialist knowledge for the price of a very few hours' wage, fully debugged and documented, is a great bargain.
Great compilation of numerical routines for C programmers
I found this book indispensible in my effort to develop profitable trading systems for futures and options and in my research in factor analysis and, more recently, in chronic fatigue syndrome and fibromyalgia. Anyone who programs in C or C++ and works with mathematics must have this book. It covers a surprisingly wide range of algorithms: routines are included for everything from handling Julian dates and solving systems of linear equations to determining eigenvectors and singular value decompositions, solving differential equations, doing numerical integration (quadrature), not to mention calculating fast fourier transforms, lomb periodograms and maximum entropy spectral analyses. While not always state-of-the-art, the routines are quite reliable (when used correctly), clearly-written, and easy to understand and use. I would strongly recommend this book (and the companion software) to anyone who programs in C and is literate in mathematics. I always keep a copy nearby.
Read more

Subjects:  1. Applied    2. C (Computer program language)    3. C (Programming Language)    4. Computer Books: General    5. Computers - Languages / Programming    6. Discrete Mathematics    7. Mathematics    8. Numerical Analysis    9. Programming Languages - C    10. Mathematics / General    11. Probability & statistics   

Reviews (11)

Great text on discrete mathematics especially for non-math majors
I used an earlier edition of this textbook in a discrete mathematics class that was required for those of us with a non-CS background enrolled in a MSCS program at Virginia Tech, and I found this to be an excellent and complete book on the subject. If you find yourself enrolled in a class using this book, you can be sure of two things - your instructor knows how to select good textbooks and also it won't matter if your instructor is a good teacher since this book does all of the work for him/her.
Great Introductory Book
For a subject which has so much potential to be conveyed in complicated and esoteric ways, this book actually manages to present every single chapter in a clear and accessible way, even for those unfamiliar with formal logic.
Great Book for Discrete Maths Beginners
The author of the book explained the concepts from ground up. The most interesting chapters I have gone through so far are Chapter 3, 4, 5, 7, 8 and 10. Those chapters definitely build up my mathematical foundation and understanding for Computer Science subjects.
Read more

Subjects:  1. Calculus    2. Computer Science    3. Computers    4. Discrete Mathematics    5. Discrete Mathematics (Computer Science)    6. Mathematics    7. Science/Mathematics    8. Mathematical theory of computation    9. Mathematics / General   

Reviews (2)

Professors Should Choose Another Book
This was my undergraduate textbook for Advanced Calculus I and II (as they were called at my school).I am returning to school to start my master's degree this next term and am going through the book to refresh my memory.
Another excellent Real Analysis Text
The style of this book is a bit like Robert Bartle's Introduction to Real Analysis. It is detailed and rigorous. It is an excellent book for those who want to learn Real Analysis. ... Read more

Subjects:  1. Advanced    2. Calculus    3. Functions of real variables    4. Mathematical analysis    5. Mathematics    6. Science/Mathematics    7. Mathematics / Advanced    8. Real analysis   

Reviews (7)

great calculus book
I agree whole heartedly with the other reviews here, and merely wish to second their opinions.I bought my copy in 1960 and would never part with it. I still have crystal clear images in my mind from courant's exposition of the 1-1 correspondence between points of the real line and infinite decimals, his comment that all absolute convergence tests result from comparing with a known convergent object - either the geometric series or an integral,and his preface emphasizing "the chief task" of one who would pursue the study of Science: acquiring a firm grasp of the application of general principles in particular cases.
Best Calculus book
This is the best calculus text for aspiring physicists as well as applied mathematics students. However, don't know why Amazon sent the book with different front cover to me. It's not the one shown in the picture but rather a black cover--exactly the one seen on barnesandnoble with the same isbn. Although the covers are different, the content is the same.

Classical book
I will not say, as is common in reviewers of books on calculus, that this is the best book of calculus that there is. Indeed, calculus is a subject with so many textbooks that it can be said that there is no best textbook, but that each person can find one that suits his/her needs.Read more

Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Unassigned Title    5. Calculus & mathematical analysis    6. Mathematics / Calculus   

Reviews (21)

A classic
In certain ways, this book has been both a bane and a boon to my career as a computational mathematician.Way back in 1989, I had the mixed experience of taking a course in Numerical Analysis from Brian Smith at the University of New Mexico.Prof. Smith taught that course exclusively from this book (actually, from the 2nd edition).As a college sophomore, I was terribly out of my depth, but I managed to do okay.Later, I had the opportunity to study under Gene Golub at Stanford, although I was certainly not one of his better students :)Naturally, Prof. Golub also taught pretty much exclusively from this book, by the way, he is a gifted mathematician and wonderful instructor, and a real gentleman.Between these experiences, I'd say I became extremely familar with the contents of this book.
The standard reference
First, this isn't Numerical Recipes. If you're looking for cut&paste code, you're just looking in the wrong place. This is for people who need a deep understanding of the computational issues, and are going to put a lot of time into an implementation. It's for people who are completely at ease with linear algebra, standard matrix-oriented problems, and dense mathematical notation.