Reviews (12)

Excellent in-depth book
I have used the earlier edition of Kaplan's excellent text on Advanced calculus from early 1960's...I have studied and taught this subject and I always like to refer to this book....excellent and solid foundation in advanced caluculs for any student

great didatic
I study this book entirely in a calculus review. The points are:
I recommend James Stewart
From what I noticed, this book comes with few examples, which I need to learn well. However, I learned the same topics originally with Calculus by James Stewart (fifth edition), which comes with very clear explanations, diagrams, and examples. Then the practice problems start off easy and then gradually increase in difficulty. Instead of Kaplan's Advanced Calculus, the James Stewart book is highly resourceful and I would recommend it to any student in calculus, because it can work for practically anyone. ... Read more

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

Reviews (12)

Excellent if it si still as good as the edition from 20 years ago
I can only review an edition of this book dated at least 20 years ago. I bought it when I was in high school (in 10th grade actually) and used it by myself to learn calculus.
A totally ineffective method of teaching Calculus
I am a student at CSUSB and I have had to use this book for 3 quarters of Calculus.At the school all the professors say the book is horrible and can't wait until the department changes. In 2005 they finally changed the book to Caculus by Larson, Hostetler, Edwards. It is ironic in desperation I asked a fellow student how he was handing the problems of this book. He said that he borrowed a book from his friend who said the book was excellent. It turned out that it was the book written by Larson, Hostetler, and Edwards. I then obtained a copy for myself and found the book to be excellent.
Brilliant method
This book is literally the best basic calculus text you can possibly get.Anyone wanting to start learning calculus NOW should get this.No real previous mathematical knowledge is necessary.There are several appendices on algebra and series etc.The book discusses trigonometry, so you can learn the book practically without knowing a thing.The "feeling" of the book is inexplicable.Reading this book really gave me an true understanding of basic calculus.Excellent for people like me who need proofs (especially visual ones) have a solid grasp on concepts. If your only goal in learning calculus is to do well on examinations, this book is definatelynot for you.You should get "Calculus for Dummies" or something like that.The great thing about the text is that it appeals to almost everyone.If there is a certain chapter you don't care for or doesn't matter to you, for example on methods of graphing, you can just skip it, and it will not do any harm.Highly intelligently organized.If you want some help in you physics class on basic vector algebra, just turn to chaper 18 and just read! This bookis full of applications, which is great.It also has several historical notes.The colors make the book very engaging to read.Unless your colorblind, this will help engage your interest.Very adequate spacings on the paper as to keep you clearheaded and focused.The drawings rival those of Picasso.They show calculus to be a LIVELY subject.The examples (inside the chapters) are very helpfull.Stein offers several suggestions on how to solve certain problems. Its a shame; this book does not attract the amount of attention it deserves.I did get stuck a couple times; but that is inevitable.Definately get this one: its a gem to have.I can understand how some people would hate this book; its not very concise.That should not be a hindrance.If you feel there is no need to read on about a subject, skip some pages.At the end of chapters it all comes together with a summary of the most important concepts.The book prepares you for study of calculus-based sciences such as physics, and for more advanced mathematical topics as well.I worship this book. ... Read more

Subjects:  1. Analytical Geometry    2. Calculus    3. Geometry - Analytic    4. Geometry, Analytic    5. Mathematical Analysis    6. Mathematics    7. Science/Mathematics    8. Analytic geometry    9. Calculus & mathematical analysis    10. Mathematics / Calculus   

Reviews (12)

A classic, richness in knowledge few books attempt anymore.
I used these books (Vols. 1&2) in my last two years of high school back in South America. I remember long nights of bad coffee and cigarettes locked in my room reading it over and over. The book is full of really cool knowledge (even for a non-mathematician). Most of today's students learn like little parrots, (without thinking or understanding) just repeating things mindlessly. This will make this book unpopular among these people because having to read a sentence and stop to figure things out on their own is too hard a challenge for them. I guess that like the high standard of the education of old when teachers loved teaching and their subject this book is also going the way of the dinosaurs. I'll get my copy before that if I were you though ;-)

A righteous calculus text
This one of the more righteous books in the author's oeuvre and that is saying something!The subject matter is closely akin to a course I took in Freshman year however it excludes manifolds and operatoins on them.In this respect, the book is not as good as some others out there for an integrated view that even a frosh can grasp.However, overlooking this shortcoming, the text is definitely righteous, being one of the few out there with this integrated approach and being a classic of sorts.

Very thorough, but very dense
I'm currently taking an honors calculus sequence at the U of WI, and have used this book and the first volume for the past three semesters.Needless to say, you have to take Apostol with a grain of salt.Although the no-frills style and lack of worked examples is upsetting to many students who are used to pictures, thorough examples, and color, these volumes cover a lot of material in a small space.And also beware; my professor and others in the math department have found errors in definitions and theorems, and the archaic notation is off-setting at times.Basically, if you're looking for straighforward information (written by a mathematician, for a mathematician), you've found the perfect book.If you're looking for an easy-to-read and understand book, keep searching. ... Read more

Subjects:  1. Calculus    2. Mathematical analysis    3. Mathematics    4. Science/Mathematics    5. Calculus of variations    6. Linear algebra    7. Mathematics / Calculus   

Reviews (28)

Great vector calculus refresher
If you've been introduced to paritial integration then you'll be able to follow this book.I wish I had know about it while I was taking multivarible calculus and electrodynamics.There are a number of solved problems at the end of each chapter.A great way to foster your intutive knowledge of those little electrons.

Great book
This book has been helping generations of math students on vector calculus. It is a great presentation of the subject with lots of helpful diagrams (those are hard to find in more formal texts). The back page has a good summary of all the formulas for cartesian, cylindrical and spherical coordinates. Every vector calculus student should read this.
Great little book
This is a terrific book -- one of the best introductions to vector calculus that I have ever seen.Schey's style is clear and his presentation is fun.I can't recommend this book highly enough. ... Read more

Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Vector Analysis    5. Calculus & mathematical analysis   

Reviews (16)

Lots of description... a bit too much
The book is excellent for self-study with its in-depth descriptions.The reader should look out for the occasional misprint (even in definitions, which makes it a bit more difficult), but if the book is read carefully these errors expose themselves.The reader should highlight definitions for later reference (since they are sometimes within the text).
Very lucid and ideal material for learning real analysis
Most books on mathematics simply dump concepts,equations and examples and let you figure out what to do. Not this one. The book is written in a passionate manner where the author takes pains to explain why we are going in a particular direction and the goals. The style is extremely lucid and informal, something unusual for a subject that is steeped in formal mathematics. Yet the author presents, explains and covers all the formal theorems, concepts etc . The book also has excellent exercises. A truly noteworthy achievement. I would highly recommend this to anyone (especially self-study) trying to learn this subject.

The best to understand and do Analysis
This is the best Analysis book I ever read, you can learn not only the subject, but how to do Math, the introductive paragraph in each chapter gives the motivation of the topic, for example the introduction to the Lebesgue integral is memorable, many people "learn" the Lebesgue theory passively, some think it is a play to integrate strange functions, instead Prof. Strichartz treats estensively the PRACTICAL weaknesses of the Riemann theory.Read more

Subjects:  1. Calculus    2. Computer Science    3. Mathematical Analysis    4. Mathematics    5. Science/Mathematics   

Reviews (1)

Worthless, worthless, worthless book!
This book is WAY overpriced and is NO good!Unless you have an amazing calculus teacher, there is no way you are going to understand this stuff.I am an honors student and trying to learn from this book and it's so frustrating.I also WASTED $40 on the solutions manual which is also a joke because it just gives you the answers.No solutions.Sorry if you have to use this book because it sucks. ... Read more

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

Reviews (3)

the long awaited second edition
The second edition is much like the first and is at least a year behind the original schedule.See my review of the first edition to understand why this is a classical.The promised advances in missing data are included and a new author Haegerty has been added.The missing data chapter is three times longer than in the first edition.They cover what they promised.They also mention some of the econometrics literature including the work of Nobel Laureate James Heckman but admit in the preface that they do not know that literature very well and hence do not cover it in depth. already the classic book on longitudinal data analysis
When this book came out in 1994 there was a great need to look differently at clinical data on subjects. Typically such data would have repeated measurements over time for many subjects but for only a few time points (say three to five). Standard analysis of variance methods do not properly account for within patient correlation between measurements. Time series analysis generally is good for treating long series (but usually only one or a few). In the clinical setting we often are considering hundreds of patients over short time intervals. This book is clearly written for intermediate level statistics students. Excellent, highly recommended!
This book was written by three very prestigious authors, two of which work at The Johns Hopkins University(Dr. Liang and Dr. Zeger), and Dr. Diggle, who is working in England.These three are very well known and respected characters in their field of work, and this book is an excellent reflection upon the research and work they have done over the years.Watch out! the key word is: GEE ... Read more

Subjects:  1. Epidemiology    2. Life sciences    3. Longitudinal method    4. Mathematical Statistics    5. Mathematics    6. Multivariate analysis    7. Probability & Statistics - General    8. Probability & Statistics - Multivariate Analysis    9. Science/Mathematics    10. Statistical methods    11. Time-series analysis    12. Biology, Life Sciences    13. Calculus & mathematical analysis    14. Mathematical modelling    15. Mathematics / Statistics    16. Mathematics | Probability & Statistics    17. Probability & statistics   

Subjects:  1. Calculus    2. Finite Mathematics    3. General    4. Mathematics    5. Science/Mathematics    6. Mathematics / General   

Reviews (8)

Very good to understand the basics of pricing-theory.
This book is great book about theory. Using a simple binomial tree as asset evolution model, all key notions are introduced. Neutral-risk probabilities come up in a simple, natural way, and I never found such a clear explanation of the the change of measure and its meaning in finances. Examples help to understand every ussue.
Interesting Read
I found this book to be a very interesting and fun read. A very helpful introduction to binomimal models and basic stopping time principals. It also provides a great refresher to Martingale principals.If you are having trouble with Shreve's volume II then have a look at this book first.

A good intermediate intro to Stochastic Differential Equations
The advanced book by Bingham and Kiesel gives an intuitive meaning to the abstract, measure theoretic/probability theory required to properly treat the problems of options pricing.If you have had no background in analysis books such as Rudin or Royden, you will likely not get far in Bingham's and Kiesel's book, as they use results from these and other advanced analysis books as needed without further justification.Your best bet is to start with Shreve's Finance I and II books.Even so, since there is still much mathematical machinery to master, the book doesn't cover too many real world problems to make you feel confident. Other sources such as Wilmott or Hull can help.
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Subjects:  1. Applied    2. Business / Economics / Finance    3. Finance    4. Mathematics    5. Probability & Statistics - General    6. Science/Mathematics    7. Business & Economics / Finance    8. Calculus & mathematical analysis    9. derivative securities    10. financial engineering    11. stochastic calculus   

Subjects:  1. Business / Economics / Finance    2. Economics    3. Finance    4. Mathematics    5. Probability & Statistics - General    6. Science/Mathematics    7. Statistical methods    8. Statistics    9. Calculus & mathematical analysis    10. Finance & Accounting    11. Mathematics / Statistics   

Reviews (3)

Where are the last four chapters?
This solutions book only goes through chapter 8 and the actual text has 12 chapters.I found that the answers were explained fairly well but I was very disappointed that it was missing several chapters and was probably not worth the money.

THE PAPERBACK IS THE SOLUTIONS MANUAL
Unfortunately the paperback is not a a paperback edition of the textbook, but the student's solution manual.

Easy to read.
I thought the book explained each topic in an easy to follow manner.There are some challenging excercises at the end of each section. Some of the exercises stumped me, but I guess that's good if you're looking to bechallenged. I bought the solutions manual which gives step by stepsolutions to the odd questions.The book doesn't cover every area ofcalculus, but I found it useful when I didn't understand what we covered inclass. ... Read more

Subjects:  1. Applied    2. Calculus    3. Mathematics    4. Science/Mathematics    5. Social sciences    6. Textbooks    7. Calculus & mathematical analysis    8. Mathematics / Applied   

Reviews (9)

College Prep Teacher Loves this Text
I have been teaching Advanced Precalculus in a college preparatory high School for 14 years.I also teach AP Calculus and know what my students must cover to be prepared for a Calculus I course.This precalculus text is excellent in teaching precal students EVERYTHING they need to be prepared for calculus.It is also very user-friendly.For instance,it is a very readable text and most examples are worked out using a variety of approaches.With the multiple solution approaches to examples, students can see an algebraic solution, numeric solution, and graphic solution to the same problem.This enables students to see how all these things fit together and make important connections between graphing and hand-work.Multiple solutions is also beneficial in a classroom setting as not all students have the same learning style.Visual learners will benefit by seeing the pictoral representation of their solution, while sequential learners will appreciate the step-by-step algebraic worked out solution, etc.All applicable examples are solved using a graphing calculator, which is essential for current technology requirements.The book is also easy to adjust for block or regular scheduling. (approximately 1 section a day on block; 1/2 section a day on regular)I have used several other precal texts and much prefer this one.The material is well laid out and ordered.The difficulty level can be adjusted to be challenging for a high school advanced precalculus course or otherwise.Students wishing to review a previous precalculus course or teach themselves precalculus will appreciate this text, as well.I read the other reviews of this book listed at Amazon.While it is true there are typographical errors, I don't find them any more excessive than in other texts I use.I don't use the "test generator" software as I make all my own tests and quizzes, so I cannot comment on it.Based on my years of experience as a Master Math Teacher, I would have to disagree with the other negative reviews of this text.Of course, this is only my opinion.I can tell you that the other teachers at my school using this book love it, as well.Hope this information is helpful.

Impossibly Annoying
I found this book to be very infuriating and shallow, and there are many incorrect answers in the back.Many of the homework exercises are simply busy work, and I felt like I learned nothing by wasting my time doing them.The overall approach is too elementary in some areas that really need explaining, and too complicated in areas that could be simply stated.The authors should have proof-read!!!Don't get this book if you have a choice.

I Won't Complain...
Last year I took an Algebra 2 Honors course and the book was absolutely horrendous.My teacher was fantastic, but every once in a while we ran out of time during class to finish the lesson.I would go to the book and try to learn it on my own, very unsuccessfully.
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Subjects:  1. Calculus    2. General    3. Mathematics    4. Science/Mathematics    5. Calculus & mathematical analysis    6. Mathematics and Science   

Reviews (7)

Very Good Introduction
This book provides an introduction to the advanced subject of dynamic optimization in an easy to comprehend manner. For students with no previous background in the subject, it is the best book in the market.If you are familiar with Chiang's Fundamental Methods of Mathematical Economics, you can expect the same level of comfort. There are plenty of examples in the text and all the aspects of the subject are covered. A valuable book to own and deserves the 5 stars.

Learn the stuff before writing a textbook
This book may be great for students. I has many good examples, is well written and generally looks good. HOWEVER, for anyone who actually knows optimal control theory it is clear that the book has several flaws. The worst example is the section on transversality conditions in infinite horizon problems. Chiang simply has no idea what he is talking about.

Better than any of the courses I had attented.
The book of professor Chiang is not simply a good introductory text to dynamic optimization in the continuous-time form, but also provides a tight explanation of the related original economic models. It is better than any of the courses most people had attented before. I wish a similar book will appear soon, developing dynamic optimization tools, and especially optimal control in the discret-time form. ... Read more

Subjects:  1. Business & Economics / Economics / Theory    2. Business/Economics    3. Mathematics / Calculus    4. Calculus    5. Econometrics    6. Economics - Theory    7. Economics, Mathematical    8. Mathematical optimization    9. Mathematics   

Reviews (9)

Good Math Book
I learned calculus from this book, and i think that as a text it is excellent. I learned very little from my lecturer, and almost 90% of my 3 4.0 grades in calc 1,2 and 3 can be attributed to the pages of this book. On the other hand, by the end of the year my book had nearly fallen apart; i ask myself, why so expensive for cheap print? Furthermore, why would the authors write such a good book, but make the binding so terrible? If you use this textbook, be CAREFUL with the binding!

Excellent if you got the time
I also disagree with the reviewers that were so passionate about ditching the book with one star ratings. All I can think is that all of them were students who used it as a textbook in college. Most college students, specially Engineering students (guilty :) tend to put Calculus on the back seat and try to skim a lot specially when pressured by finals or other subjects. Fortunately, this wasn't my case. I used the book as a refresher and went deeper into more advanced topics at the of the book that were never explored in class back when I was in college. The book proved to be wonderful for this purpose. In four months I could get to the level I aimed for. I do agree however about the printing errors, the scarceness of the example problems, and some discrepance between the levels of examples and the exercises. Also, there are a few parts that should have been a little more detailed(that's why I don't grant it a 5-star). Nevertheless these little flaws do not take away the book's merit. I recommend to anyone(student or self-learner) who will block some time to go through the text without rushing,without skimming and appreciating the way new(or old) ideas are presented (as well as the history inserts). Great buy!

Very Challenging
Many people say that this book is bad. On the other hand, I think is very challenging. The exercises are not as simple as in other calculus textbooks. The book explains everything well and provides you with many examples. I am a math major and this book has been really helpful. ... Read more

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

Reviews (2)

Calculus and Its Applications, Eighth Edition
Probably I did not read the description of this book carefully, that is why not what I expected. Anyway, the transaction was very pleasant!!!
Very good for a beginner taking calculus
Its examples and explanations are very good. It contains the essentials of Calculus and good applications in many fields, e.g. biology, economics, etc. ... Read more

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

Reviews (2)

Nice book!
This book is really easy to understand. Its language is so simple. Anyone can read and understand it so well, even if your first language is not English. It gives nice examples with details to explain the solutions of the problems. It's about 19 chapters and they are: 0. Algebra Refresher. 1. Equations. 2. Applications of Equations and Inequalities. 3. Functions and Graphs. 4. Line, Parbolas, and Systems. 5. Exponential and Logarthimic Functions. 6. Matrix Algebra. 7. Linear Programming. 8. Mathematics of Finance. 9. Introduction of Probability and Statistics. 10. Additional Topics in Probablity. 11. Limits and Continuity. 12. Differentiation. 13. Additional Differentiation Topics 14. Curve Sketching. 15. Applications of Differentiation 16. Integration. 17. Methods of Applications of Integration. 18. Continuous Random Variables. 19. Multivariable Calculus. I recommend this book for students or readers for business because it teaches the basics of the topics (above)

You've got to have this!
The authors of this book seems to be a mathematician if you take a good look at all his other books. Great for intermediate mathematicians! ... Read more

Subjects:  1. Business mathematics    2. Calculus    3. Economics - General    4. Economics, Mathematical    5. Mathematical Analysis    6. Mathematical Economics    7. Mathematics    8. Science/Mathematics    9. Calculus & mathematical analysis    10. Mathematics / General   

Reviews (2)

Calculus with Applications (8th Edition)
Having taught this material at the community college level for over 15 years, I find this to be one of the best texts we have used. As always, materials from a Lial book are easily understood. Futhermore, the authors have not lost contact with all rigor as in somemath books intended for liberal arts usage. For example, the fact that a critical number can occur at an undefined value of the derivative, butonly if the function itself is defined at that value, is fully explained.

My friend and teacher.
Man, I have no idea where to begin. So let me start of by stating my mathematical background before I picked up this book. Before I picked up this book, I was fairly good with algebra but not very good at pre-calculus because all I knew about pre-calculus was that there are parabolas, but I knew very small trigonometry, statistics, series, and some other parts of pre-calculus. Anyway, so here I am in my last year of high school, a very terrible high school, with very small knowledge of mathematics, and I really want to see what the big fuss was with Calculus. So I decided to find some books on Calculus. My first three books on Calculus were very hard to follow along with. They were all textbooks, and one of them I bought. So I decided to sacrifice my $150.00 and buy this book from www.aw.com. When I first picked up this book, I had a hard time following along with the pre-calculus material, so I skipped them. I went into Limits and beyond. I understood every thing to my surprise, but when I got to the parts with Logs and Calculus, I went back to the pre-calculus section, and to my surprise, I understood it this time. Therefore, this book opened my mind. It allowed me to understand things I could not before by explaining the complicated subjects in a very easy to follow matter. I am in my first year of college taking Calculus I and I passed every test with a 50/50 except for one that I missed because of a negative sign, finding the equation of the tangent line to a given function. Anyway, I would recommend this book very much to anyone who wants to learn Calculus. I am very proud of what I got out of this book. This book in fact, made me a calculus teacher in a small way because I now tutor kids who are struggling with Calculus.
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Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Calculus & mathematical analysis    5. Mathematics / Calculus   

Reviews (57)

Excellent Book - Go for it
How to Ace Calculus is a great book.It does a great job of explaining concepts that I have not understood all semester.I only wish I had bought the book sooner.Oh well.I am using Stewarts text book, and How to Ace Calculus covers most of the concepts that we have covered in class.The only book that will cover everything in your textbook is, your textbook.
Gave me an A in my Business Calc class
I havent taken any math courses in 3 years, and when I had to take Business Calculus for my Economics minor, I remembered someone mentioning this book, and Im glad they did. It outlined what I needed to know BEFORE taking a calculus class (so i was well prepared on the first day), and then it goes on to describe with examples what I needed to know FOR class... derivitives, logs, ln, trig functions, power rule, chain rule, etc. Its a easy read and its a great companion for your regular text book!

Teaches the basics and makes calculus entertaining
The book alone will not earn you an A in calculus at a rigorous or competitive college (in fact using only this book at such a school would be disastrous). However, Streetwise Guide does aid lost or uninterested students, and will help those students earn an A if used along with the required text and homework. The authors have a humorous and entertaining style, which might even cause students to put down their lattes and ignore instant messages from their girlfriends or boyfriends. I read this book when I changed majors from fine arts to science, and was able to quickly get up to speed to the point where I could succeed in math classes for engineering majors without depending on such basic books. ... Read more

Subjects:  1. Calculus    2. Mathematics    3. Study Guides    4. Study and teaching    5. Calculus & mathematical analysis   

Subjects:  1. General    2. Mathematics    3. Calculus & mathematical analysis   

Reviews (42)

Very nice book, despite some errors
This is a very pleasant book to read, and in general quite well written. The author knows how to balance fun and seriousness, so it doesn't feel like he's trying hard to be _too_ funny, which is my general gripe which these kind of "for dummies" and "idiot's guide" books.
Buy this book
As a lecturer in math at both undergraduate and graduate levels, and specifically calculus, I had always thought that my explanations and teaching were clear and obvious. Despite this, I have always been perplexed as to why people find this stuff so difficult, and why people couldn't understand my explanations. I always thought that the stuff is intuitively obvious, so why can't people understand it?
A good refreshment book.
To refresh Calculus for a short period time, i.e. 2 or 3 weeks around 10 to 15 hours week, it's very informative and concise guide.
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Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Calculus & mathematical analysis    5. Mathematics / General