5 comments about Schaum's Outline of Tensor Calculus (Schaum's).

1. I've many books about tensors and this one is the best one to start learning such a difficult subject. It does not omit the things that are assumed you must know. It explains everything, even the simplest things in a easy way. However, you should know vector analysis and multidimensional calculus in order to understand the complex things in the last chapters.



2. I have found it to be an excellent refernce for an otherwise difficult subject.



3. If you want to get rid of much of your reluctance in tensor calculus and fight powerfully with Einstein index summation and relief your pains with Christoffel symbols and Riemann Curvature Tensor, essential for General Relativity understanding then, I think this book, with solved problems and many others for practicing, is a good guide to make General Relativity and Cosmology more pleasant. I am a self-learner of Cosmology and of these kind of mathematical topics, I used many books from the more theoretical to the simplest ones and think that this and the Sokolnikoff's (Tensor Analysis and Its Applications) are a good couple of references to understand this branch of tools for Physics and making me more happy dominating the practice with these objects. Later on, if you are more interested in going deeply in the axiomatic bases of tensors (possibly by using Gravitation of Misner, Thorne and Wheeler), at least you'll already have the calculus foundations to go on. I know many others would say that there are many other wonderful books, but to me this is the one I found the best to condensate the most of all my doubts in the subject and.... go on.



4. This text is good in principle. However, I find that it has several typographical errors which reduce its value as a tool for learners.



5. Este libro te lleva de la mano, como cualquiera de la serie, para un mejor entendimiento del calculo tensorial, no lo recomendaría para se el texto principal de un curso, sino un apoyo para ejercitar y repasar, es bastante claro y de gran ayuda, ya que sus ejemplos y desarrollo son de utilidad para poder desarrollar habilidad en el manejo de la notaciòn tensorial. Puede ser de gran ayuda para un curso de metodos matemàticos de la fisica.

5 comments about Schaum's Outline of Partial Differential Equations (Schaum's).

1. This is a very good introduction to partial
   differential equations.It contains the most
   common methods in PDE namely: characteristics
   method, Fourier method, Green method, finite
   difference methods, variational methods and
   finite element method. I have used it as a
   textbook or suplementary text. It is really
   an undergraduate text which provides a wide
   introduction to PDE. I have a copy and recommend
   it to every person interested in learning PDE.



2. I have not read this book, but if it is anything like the author's previous attempts at writing it will leave you feeling angry. I read his advanced calculus book and it was awful. I found 16 mistakes on one page! This was the first book on advanced calculus I read and I was unable to follow the logic sequence. It wasn't until later after reading other books and mastering the subject that I discovered why. The examples were full of major errors. Not only that but he wastes a great deal of space repeating assumptions before each new section. As a result the actual material covered is sparse.



3. This is one of the more poorly written Schaum's outlines I have encountered. The theory is very murky and the author gives no clear direction as to where he is going with this material and what it all means. PDE is a hard enough subject without working a bunch of meaningless problems that leave you wondering what it is you are supposed to have learned. Instead, I suggest you read "Introduction to Partial Differential Equations with Applications" by Zachmanoglou and Thoe in order to understand the mathematical underpinnings of PDE. Then read "Partial Differential Equations for Scientists and Engineers" to get a thorough feel for how PDE is used to solve real-world problems. Both books usually sell used for under $10 each, making them cost-effective alternatives to this Schaum's outline.



4. This book contains mostly routine exercises of the subject. If you want to dig a bit further and sharpen your skills: try Krasnov's A Book of Problems in Ordinary Differential Equations. Language: English
   ISBN: 5030009493



5. I have found it helpful and inciteful with the more difficult differential equations that can be attempted.

No comments about Handbook of Mathematical Formulas and Integrals, Fourth Edition.

5 comments about Partial Differential Equations (Graduate Studies in Mathematics, V. 19) GSM/19 (Graduate Studies in Mathematics).

1. Partial Differential Equations (Graduate Studies in Mathematics, V. 19) GSM/19 (Graduate Studies in Mathematics)
   
   The Book i bought was in good condition and was sent in time. The price of the book was also very reasonable and the packing was very good.
   
   I have good words for Amazon about my first purchase.



2. If you want to learn PDE you have to study this book... as simple as that.



3. If you are just getting started in learning PDEs and want to see all the classical problems/solutions (Poisson, Laplace, Heat, and Wave Equations), then this book might be a little advanced for you, but it is solid in this content if you have a solid background in analysis (probably best to have at least one high-level analysis class that covers all the multivariable calculus material as you will find that your ability to identify and use Green's Theorems will make life much easier as you get started). This is considered "Part I" of the book.
   
   Once you have covered all the nice problems that don't exist in practice, you are ready to move onto general linear PDE theory in Part II of the book. I would recommend you complete a course in measure theory before you start in on chapter 5, which covers Sobolev spaces. I would then recommend that you complete a course in functional analysis before starting chapter 6 or 7 (chapters 5-7 are Part II of this book). This is not necessary as you will have access to a fairly complete appendix of functional analysis results in this book, but once you understand functional analysis and measure theory, then you will be able to grasp the idea of an elliptic (or in chapter 7, parabolic or hyperbolic) operator acting on a function space (the function space being a Sobolev space) more easily and these ideas won't seem so abstract. Overall, the second part of this book is great if you have a lot of the prerequisites I just suggested because many of the proofs can easily be made to be three to five times longer as many steps that link ideas in functional analysis are skipped. The proofs on higher regularity will be hard to understand your first time through, so I wouldn't worry about it too much. Read through the chapters and then read through the regularity stuff again. If you just want to get the basic ideas you can skip either the parabolic or hyperbolic section in chapter 7 because the techniques in solving either type of problem are fairly similar.
   
   Once you are done with the linear PDE theory and are ready to start chapter 8, I recommend putting the book down and getting a different one. Evans gets fairly abstract in the nonlinear part of the book (Part III). I would recommend getting "Navier-Stokes Equations: Theory and Numerical Analysis" by Temam as it is a great source for nonlinear PDE theory and has more results and better proofs than Evans on this subject. I just feel like the Evans book is a great book to learn from for your first two semesters of PDEs at a graduate level, but after that it is time to change texts.



4. This is a superb exposition of a difficult, yet enriching subject. This book is intended only as a beginning text (in a relative sense) and is by no means an attempt to give an exhaustive view of many topics discussed therein.
   
   The first few chapters discuss classical solution techniques to frequently encountered PDEs such as the heat and Laplace equation. Methods of solution are discussed including Fourier transform methods and other classical methods to obtain strong solutions and/or representation formulas. The author, from this point, focuses on weak solution techniques for second order PDEs and systems in addition to conservation laws and other nonlinear PDEs. There is also a self-contained chapter on Sobolev spaces that proves to be fairly useful.
   
   There is a necessary mathematical maturity needed to fully benefit from this text. The reader should be relatively comfortable with standard topics from classical analysis. It would help if the reader has seen Lebesgue spaces and is familiar with basic functional analysis and operator theory although many of these topics are reviewed in the apendices.
   
   While this book is dense and difficult at times, it has a prominent place on my bookshelf.



5. Evans is not really worried about graduate students. However this book is essential for anyone that wants to have real (first) contact with nonlinear PDE. I'm sorry for the beginners but it has to be this way. If you are looking for some engineering do not buy it. Mathematician? What are you waiting for?

5 comments about Calculus Problem Solver (REA) (Problem Solvers).

1. I have been out of college for 7 years. I began Grad school last quarter. This book gave me the basic steps to relearn and remember Calculus. It takes you through each kind of problem without skipping steps or assuming you already know what you are doing. A big crutch for understanding single and multivariable calculus. -I passed the placement exam and then used the book to assist in other engineering classes.



2. Even if you understand the principles, the handful of problems in the average textbook are too few to really drill you on the procedures. It's a little like the difference between understanding some music theory and being able to play an instrument. Practice, for those of us who are not math prodigies, is essential. If you are willing to put in the hours and hours, this hugh collection of solved problems is well worth the price.



3. THE KING OF ALL MATHEMATICAL PROBLEMS!!!!!!!!!
   
   Problems in Mathematical Analysis (Hardcover)
   by g. yankovsky (Translator), B. Demidovich (Author
   Publisher: mir publisher; 4th Printing edition (1976)
   ASIN: B000GTC2GA



4. This is a pretty good calculus help book, especially if you're looking for a book that will teach you how to do a lot of problems. This book gives step-by-step solutions to the problems it presents, so if you can't figure out what the next step is, you can just glance at the solution to figure it out.
   
   This is exactly what a math student needs, a book that gives plenty of practice problems and solutions to the problems. This book does fall short in a few areas though. It doesn't cover everything in a calculus course (especially in the later levels of calculus), and at times, the things it does cover it doesn't cover enough (like it will give only one or two examples of a certain type of problem, which isn't very helpful). And sometimes the solutions seems to simplify too much or skip a step, leaving you pondering how they from one step to the next. However, this is a problem that seems to plague all solution-type of texts. And my final complaint is that the type of font they use in this book isn't exactly asthetically pleasing. They could have use a different font or do something else to make it nicer to look at.
   
   Overall though, this book gets 4 stars from me because it is one of the better calculus help books I have seen, even if it does have a few short comings here and there.



5. This is the single text you need to de-mystify calc. It's advantage is that it explains by demonstration... again and again and again... with increasing, but gradual, difficulty.
   
   Keep in mind that most texts are pumped out by publishing houses to churn numbers and are authored by academic staff desiring a professional profile.
   This REA text gives you the universal nuts and bolts of calculus without the publishing-house baggage.

5 comments about Quick Calculus: A Self-Teaching Guide, 2nd Edition.

1. I used the 1st edition of this book to prepare myself to take courses in chemical thermodynamics, kinetics and electrochemistry in 1979 after I began my Ph.D. program in Geology at Michigan State University. I had taken one college course in calculus eight years prior and did not perform well. The book is well named, I was "quickly" up to a level where I had no problem with the math in physical chemistry, and I did quite well in these courses. I found myself wondering why calculus had been so "hard" as an undergraduate as it certainly was not presented in a difficult manner in "Quick Calculus". Now, many years later with 6 years in industry and more than 17 years experience teaching at the university level, I am of the opinion that most math faculty in universities simply are very poor teachers of mathematics. It is significant that the authors of this fine book are both physicists (one a Noble Prize winner). This is as it should be because the calculus was invented, more than 300 years ago, specifically to solve very applied problems in the physical sciences. I would not expect such a book as "Quick Calculus" from a pure mathematician. I have recommended the book to numerous students who needed a review of calculus, or who, like me, failed to learn it the first time in their university courses. In fact I just recommended it to a student today and was checking to see if the book was available at Amazon, and decided to write this review.



2. I used this book to prepare for some graduate work in geosciences. I found that it was an excellent text for getting up to speed and comfortable with single variable calculus. However, the coverage of multivariable calculus is very basic. There is no vector calculus, grad, curl, etc. So this will get you started, but for most applications you will still have a long way to go.



3. This book has helped me review my calculus that has long been forgotten. It starts with review of algebra, trigonometry, and pre-calc material. Then dives into single variable derivatives and integrals. I don't think there is any multi-variable calculus.



4. This is a great book for refreshing your knowledge of basic calc. It is very fast to go over. It teaches by using problem examples with increasing difficulty. There is very little repetition, and each concept or type of problem is only in the book once and possibly twice at most. That said, I would not recomend this for someone that has never taken any calculus in their life.
   
   Otherwise, I covered log functions, and derivatives in only a couple hours with great comprehension!



5. Like many of the other reviewers, this book was invaluable for me at an earlier time. It teaches in small, digestable bites, and provides reinforcement of what it teaches. A person MIGHT do as well with a conventional problem book, but only with a great deal of discipline.

4 comments about Design of Experiments: Statistical Principles of Research Design and Analysis.

1. Kuehl covers a lot of statistical designs, and provides great examples and practice problems. However, the book is not "user friendly" even for student who have had several semesters coursework in regression analysis. Also, the author tends to change his notation from chapter to chapter without telling the reader, thus creating great confusion. For example "r" or "k" could signify replicate. Some sections are poorly organized.



2. The language of this book is horrible. It's like a clumsy translation from some eastern European language, and sends you to sleep in 5 minutes.



3. This book is very useful for new engineers who have to conduct researchs and interested in studying in deep for any other fields. Actually, not only engineers, but also other kinds of fileds of study are also recommended for statistical analysis, as well as design of experiments.



4. I recieved the item in less than a week after placing the order. In addition, the item was actually in better condition than the description indicated. I like this seller, If you are a smart online shopper, you will not think twice about making a purchase with him/her.

1 comments about Single Variable Calculus, Volume 1.

1. Product was delivered promptly and in the condition as specified by the seller. Book look great. Bought as used and only looked slightly used. Exceeded my expectations, and is a complete covering of subject material for a course at Eastern Michigan Univ.

No comments about Calculus of a Single Variable.

5 comments about How to Ace the Rest of Calculus: The Streetwise Guide: Including Multi-Variable Calculus.

1. This book is great. Provides a solid foundation for the concepts in calc 2, explains the whys, and puts them all into perspective. Was more helpful than my prof or my textbook! Highly recommend...helps SO much.



2. Students of calculus often find that they "don't understand" what the textbook is saying, what the teacher is saying, what the problem is saying/asking. This book explains the mathematics with integrity and humor. Over the past several years I am sure that more than a hundred of my students have purchased this book and the prequel, How to Ace Calculus, and to a one they all love it! When the stuff in class doesn't hang together we all turn to "Colin and friends" to see how they explain it.



3. I am graduate student in Pharmacy, but had to take Calculus as prerequisite for more complicated classes, like Differential Equation and Physical Chemistry. Although I had very basic Calculus in my undergraduation program, it didn't make sense to me. I borrowed this book from a friend and started reading in paralel with textbook. Calculus is now becoming funny!!!! I strongly reccomend this book for those who does not understand what genious say in common textbooks! I really would like to find other Streetwise Guides like this one in other areas, like statistics, etc!!!!



4. I, personally, love this series of books. You are not likely to learn calculus from it, but it is good for review (I recommend reading it before your class or before the lecture on a particular subject) or if you are just looking for an alternate explanation to a topic or technique. It was a big help in my studies.



5. Should not replace your textbook, but is great for supplement. I decided to take multivariate calculus after not taking a math class for more than 3 years. I read the corresponding chapter in prior to each lecture and got an A in the class. Each chapter takes less than 20 min to read and provided a great introduction with examples for all topics. Helped me understand the class lectures much more thoroughly. I would highly recommend this book.