Reviews (32)

Great book especially if you have a good teacher.
I've used this book for AP Calculus BC in High School and had a blast with it.
Your Average Calculus Text, but not the best by far
This year my school switched Calculus textbooks and used my class as the guinea pigs to test out this book. I did not care for it as much as the brand we had used in the past. My main complaint is about the explanations and example problems. I felt the explanations were frequently incomplete and after reading them over many times, it was still confusing as to how they got from point A to point B. I did not feel the sample problems were representative of the type of problems asked in the exercises for each section. On the otherhand, the problems were very wide-ranging which is nice considering many math textbooks just have the same problem over and over again but with different numbers. If you don't depend on the explanations too much and just need the book for the homework problems, this shouldn't be bad. And even if you do need the explanations and sample problems to help you, I did and I still maintained an A average in the course.

Solid Foundation in Calculus
I would reccommend this book to those seeking a solid and thorough foundation in Calculus.The book is so rich that it can be used straight out of Pre-Calc and is still interesting and useful after taking 3 semesters of calculus.The exercises are EXCELLENT.The solution manual is sold seperately but is an essential tool when working the exercises. ... Read more

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

Reviews (5)

Several exercises
This book have a several exercises.
Good for Fourier analysis and much more
This Schaum's outline is unique in that you not only get a thorough coverage of Fourier analysis, but of other orthogonal functions such as Bessel, Legendre, Hermite, and Laguerre. The first chapter would be interesting to students of partial differential equations because of its excellent treatment of boundary value problems and of the different types of partial differential equations. It makes an interesting first taste of PDE solution methods. Chapter two is a traditional treatment of Fourier series and its applications. As in the first chapter, it is the applications that make the chapter unique as the Fourier series is used to solve problems in heat flow, Laplace's equations, and vibrating systems. Chapter three has a good discussion of why you would actually care if a function is orthogonal. Chapter four discusses special functions and how they are evaluated. Chapters five and six are all about applications of the Fourier integral and of the Bessel function respectively. Chapter seven uses the Legendre functions to solve problems such as finding the potential interior and exterior to a sphere given a specific charge distribution. Chapter eight finishes the guide with a discussion of Hermite and Laguerre polynomials, more from a properties standpoint than from an applications standpoint. The reader of this guide should already be knowledgeable of Calculus and differential equations, and should probably have some kind of background in physics or engineering to get the most from the book. It would be a good supplement for the student of partial differential equations or signal processing as well as the student of Fourier analysis. I think what really sets this book apart is its ability to act as a stand-alone guide to the student with the required prerequisites and to actually to inspire you to study applied mathematics more. As for my own story, I picked up a previous edition of this book 17 years ago for a coworker that thought it might be helpful in a class he was taking. He decided he didn't want it and so I began thumbing through it. I found the applications sections to be so interesting and inspiring that I wound up going back to graduate school and eventually picked up three master's degrees! If you like this Schaum's outline, you might also want to pick up "Schaum's Outline of Advanced Mathematics for Engineers and Scientists" by the same author. It is also full of mathematics inspired by real world problems in need of solution.

Great study aid
Fourier analysis is behind so much science and engineering you should work hard to master the topic.I strongly recommend this book to my students as it supplies them with tons of sample problems and solution.What I like about the book is that only a few pages of theory are presented in each chapter, immediately followed by detailed example problems.You should try to work out the problems first before peeking at the solutions though.
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Subjects:  1. Boundary value problems    2. Calculus    3. Differential Equations    4. Fourier analysis    5. General    6. Infinity    7. Mathematics    8. Science/Mathematics    9. Study Guides    10. Mathematics / General   

Reviews (26)

Very clear, great for learning and understanding quickly, a bit slow at times
This book is simply clearer than any other complex analysis book I've read, although it's not particularly advanced or concise.
Gold Standard
This introductory level book on complex variables will surely remain the standard book for decades to come.I can't possibly see how to write a more clear exposition on this highly useful subject matter than Churchill and Brown have managed to do.My students love the examples, and they think the homework problems are doable.As a supplement to do even more problems, I suggest they buy the Schaum's outline series on complex variables.
If you like a well written, applied, operational kind book.
If you like mathematics but prefer an operational approach instead of the abstract approach, you will like this book.
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Subjects:  1. Advanced    2. Calculus    3. Functional Analysis    4. Functions Of Complex Variables    5. Mathematics    6. Science/Mathematics    7. Mathematics / Advanced   

Reviews (5)

great!
This is a terrific text for a first course in graduate-level real analysis, and is suitable for self-study.It develops Lebesgue integration theory slowly, in a very clear manner.In addition, the latter part of the book covers the basics of Fourier Analysis and important topics in differentiation.I frequently refer to this book, as the results are easy to find.

Rigor not Rigor Mortis
One of the problems with modern mathematics is its obsession with rigor which has been attended, over the last few decades, by a mushrooming of symbols and jargon.Much of it is not clearly related to the ideas they serve to label, as evidenced by such terms as the topological use of "filter" whose etymology is obscure (ascribed by some to H. Cartan).Moreover, the particular subject of Lebesgue integration and its generalizations is made even more confusing by a wide variety of approaches depending on an author's penchants--many of whom are enamored with a purely axiomatic approach and who make little or no appeal to intuition or--God forbid!--pictures.The author of the present work is obviously someone who has actually taught mathematics and taught it lovingly.This book is an excellent read with lots of interestingtopics well explained from a student's point of view.There seems to be a nice ramping from the truly elementary to the sophisticated, which means the book will interest experienced mathematicians, scientists and engineers.There are lots of "doable" problems that the reader can solve along the way.For the experienced mathematician these little problems help alot as a refresher (Oh!, now I remember, that's how you do it.).I like the emphasis on Euclidean space.Somehow, I always feel more comfortable there!It gives me things I can actually construct and doodle on paper.And, it allows the author to use a few figures in a meaningful way.Which is another of the book's strong points and if I could recommend a future improvement, it would be to bring on more of those pictures!Tristram Needham has done a nice job along these lines with his book "Visual Complex Analysis."(I ordered several copies as Christmas gifts--just kidding!).Anyone who has taught mathematics and genuinely wished to be understood by his students has, at various times, drawn them pictures.Inside the cover sheets are lists of integration formulae, a fourier transform table,and a table of "assorted facts" on things like the Gamma function; which show that this is not only a book on Lebesgue integration but a calculus book with the Lebesgue integral occupying center stage.Everyone who has been enamored by the notion of the integral--as I was as a freshman calculus student and have been ever since--will want to have this book on their shelf.

an excellent introductory text
As someone who wasn't a math major but who has been trying to get up to speed on lebesgue measure and integration, I found this book to be truly accessible. Unlike other "introductory" texts (such as Kopp's "Measure, Integral and Probability") I could follow the reasoning in this book without much difficulty. Read more

Subjects:  1. Calculus    2. Computer Science    3. Integral Calculus    4. Lebesgue integral    5. Mathematical Analysis    6. Mathematics    7. Measure Theory    8. Science/Mathematics   

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

Reviews (28)

More complete than other mainstream texts.
I used the 5th edition.
Good solid textbook
This is a good, thorough, well-written text.There are no errors that I have found.We used it for a few years for Freshman college calculus.

This is the best
I recall seeing this book in my living room when I was seven or eight. I'd pull it off the shelf, open to chapter one, look at the word "limit" and feel my mind go blank.
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Subjects:  1. Analytical Geometry    2. Calculus    3. Geometry - Analytic    4. Geometry, Analytic    5. Mathematics    6. Science/Mathematics    7. Analytic geometry    8. Calculus & mathematical analysis    9. Mathematics for scientists & engineers   

Subjects:  1. Calculus    2. General    3. Mathematical Analysis    4. Mathematics    5. Science/Mathematics    6. Textbooks    7. Transcendental functions    8. Calculus & mathematical analysis   

Reviews (4)

Excellent textbook but ...
This really is an excellent presentation of multivarible calculus! The "but..." in the review title relates to two facts:
Excellent Intro to Multivariable...
This is one of the best introductory texts in multivariable calculus that I have seen in a long time. It was a required text and essentially, if you have this book, it is unnecessary to even go to class. All of the examples are clear and concise and combined with the excellent study guide, one can easily learn multivariable calculus from this book without even taking a course.

Concepts and Contexts
The text is written for the average student one who does not already know the subject, whose background is somewhat weak in spots, and who requires a significant motivation to study calculus. ... Read more

Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Calculus & equations    5. Mathematics / Calculus    6. Mathematics and Science   

Reviews (10)

Great cheap text on complex variables for the mathematician
Complaints seem to abound in regard to how this Schaum's outline is too theoretical and has too few problems involving applications. You must remember that this particular outline was meant to complement an undergraduate mathematics course in complex variables, not an applied physics or engineering course using complex variables. Thus, the purpose of this book is to develop the calculus of functions of a complex variable.
A must have supplement
The Gold Standard book for complex variables is "Complex Variables and Applications" by Churchill and Brown. Look up the book and its glowing reviews. As for this book, I strongly recommend it to my students to supply them with a supplementary pile of literally hundreds of worked out problems. As always, I advise them to try to work out the problems before looking up the solutions.
too theoretical
I bought this thinking it would help me understand complex variables, complex integration and differentiation. As another customer commented there are wayyyy to few solved concrete problems, all of the solved problems are proving some theorem. This is useless. I can look those proofs up elsewhere. What I expected was concrete solved problems, there are very very few of those. All in all I am rather dissapointed with this book. Not recommended unless you are looking for many proofs of just theorems. ... Read more

Subjects:  1. Advanced    2. Calculus    3. Mathematics    4. Science/Mathematics    5. Calculus of variations    6. Complex analysis    7. Mathematics / Advanced   

Reviews (17)

for weak students.
the main objections i have to this book, are similar to others here:
Poorly Organized, Slow, Insufficient Depth
I don't like this book; it's like most undergraduate differential equations books.It moves slowly yet doesn't explain things in enough depth.
Fun to read!!
Normally I get the homework from the professor and that is usually the only time I crack open any textbook. However, with this book I was able to enjoy the authors' humor and clear description of the material. It is true that the answers in the back of the book are not very helpful, but I think I think the book is written well enough to help you get to the right answer. Furthermore, the CD that comes with the book is not compatable with Mac OS X, but if your University has access to Maple, Mathematica, or Matlab there is no real loss in not being able to use the CD. I would disagree with one of the book reviews that graphical solutions are not important to science majors. Analytical solutions are extremelly important to science and that is why this book is heavy on the graphical solutions, and as a physicist I find these problems and examples the most useful. ... Read more

Subjects:  1. Calculus    2. Computer Books: General    3. Computers    4. Differential equations    5. General    6. Mathematics    7. Textbooks    8. Mathematics / General   

Reviews (1)

Excellent Textbook
This book was very helpful and insightful towards me learning calculus. The book was very understandable and a better investment then buying the Single Variable book. ... Read more

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

Reviews (2)

great value book
I bought this at Amazon.com from an Awesome Deal I found on DailyTool.com. I've been using this book for two semesters even though this is not the current edition. I have no problem doing the homework from this book and getting good grades. :) It's a lot cheaper than the current edition one.

It's a calculus book for Christ's sake!
This book is so good I never did any of the homework for the class it was for, only studied the night before each test, and pulled an honest-to-God straight A in the class.But this is calculus.If the text weren't so damn expensive I would have burned it in effigy.The book has nice pictures and the business-based questions are mind-numbingly easy.The science questions blow.If you don't like science, this will re-affirm your feelings.And don't forget that the answers to the odd problems are in the back.Just the answers though, but they still help.Supposedly this book has a suppliment and a CD to it, but I never monkeyed around with that.Didn't even purchase it, come to think of it... ... Read more

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

Reviews (8)

A quick fix for mathphobes
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.

Quick Calculus
This book is great for reviewing fundamentals before you get to the hard stuff. IT explains this in an easy maner in several different ways. I recommend it.

Great book to offer a good working knowledge quickly
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Subjects:  1. Calculus    2. General    3. Mathematical Analysis    4. Mathematics    5. Programmed instruction    6. Science/Mathematics    7. Study Guides    8. Calculus & mathematical analysis    9. Mathematics / Calculus   

Subjects:  1. Calculus    2. Clinical Chemistry    3. Diagnosis    4. Medical    5. Medical / Nursing    6. Reference    7. Research    8. General practice   

Reviews (3)

Excellent Book!
First let me say that this book was an introduction to the subject for me. After reading the first six chapters, and working through most of the problems, I have to say this book is great. I highly recommend this to anyone who is learning on there own. In particular, the chapter on residues is excellent. The chapter on series is also good, although I would have liked more worked examples for proofs involving uniform convergence. Also, a little more emphasis on the Arguement would have been nice. Nevertheless, 5/5 for this one, it is extremely well written and the authors really provide motivation for the theorems to come. This is definitely one of the best math books I have read. Great buy, worth every penny.

Good Introductory Book
This was the book that I learned Complex Analysis from. Definitely made the subject accessible to pretty much any reader. Plenty of exercises: some more theoretical, some more applied. It skillfully straddles the gap between being a theoretical math book and a math book for people with more applied aims (such as engineers). Most topics are covered thoroughly, though certain more complicated subjects such as winding number are left out for simplicity. down to earth book for people like you and me
I have just finished a class using this book, and on the whole its done a good job.I didn't find it in any way super special or anything, but I could read it and understand it.As far as math books go that is pretty good. Lots of exercises with answers in the back, which is what you need.Usually there are worked out examples of the most standard problems, but not always, e.g. there is no example of residue calculus with a Log function. ... Read more

Subjects:  1. Calculus    2. Functional Analysis    3. Functions Of Complex Variables    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Complex analysis    8. Mathematics / Calculus    9. Mathematics for scientists & engineers   

Reviews (8)

Grab Bag
A grab bag of precalc topics. Makes a good refresher, but not a good intro.

Great self-study text, if you are willing to put in the effort
This is a great Precalculus Text, if you actually want to learn some Elementary Algebra and Trig.
Good chapters, poor layout
I see that other reviewers have beaten me to the punch. I, too, found the individual chapters very good and the overall organization confused. Like a previous reviewer, I think Cohen's Precalculus would best serve as a supplement to Michael Sullivan's more effectively organized book. ... Read more

Subjects:  1. Algebra - General    2. Calculus    3. Mathematics    4. Pre-Calculus    5. Science/Mathematics    6. Algebra    7. Mathematics / Pre-Calculus   

Reviews (12)

A didactical masterpiece
I bought this book many years ago and soon I felt it extraordinary. My idea has not changed along years. Clear, comprehensive, readable, even pleasant. You can really learn vector analysis step by step without a teacher. And you learn to use what you learn. All topics about vectors are explored, included differential operators and some differential geometry. It covers also tensor analysis (the last two chapter are on curvilinear coodinates and tensor). In my opinion there is a little more than a mere introduction to this subject. When I began to study tensors, I did't find a book that is completely satisfaying for a beginner. I turned out to my old Spiegel and the light was. Read first the last two chapters of Spiegel when you begin with tensors: you will understand basics concepts and you will avoid troubles. I feel to owe a debt of gratitude to this book and its Author. A true didactical masterpiece.

Excellent stand-alone introduction to vector analysis
I own many Schaum's outlines, and several by Mr. Spiegel, the author of this book. Mr. Spiegel's outlines have always been among the most excellent of the Schaum's outline series and this one is no exception.
Great text/reference
Highly important for applied mathematicians, physicists and engineers, if you're taking a course in vector analysis, you should have a copy of this book. In it, you will find a concise, clear review of the theory, followed immediately by many problems with detailed solutions. Semester after semester, my students tell me this Schaum's made a positive difference in their understanding.
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Subjects:  1. Algebra - General    2. Calculus    3. Mathematics    4. Science/Mathematics    5. Study Guides    6. Vector Analysis    7. Mathematics / Algebra / General    8. Vector & tensor analysis   

Reviews (12)

Excellent introductory book on functional analysis
This book is excellent for so many reasons.The book is self-contained; it is much more accessible than a number of other books.The writing is very clear, occasional use of diagrams is very helpful.Proofs are very easy to follow, and the author gives you a sense of the big picture of the subject before you get to the proof, keeping the reader motivated in a subject that can often seem abstract and boring.The typesetting and layout of the book are also unusually well-executed for a mathematics book: definitions are easy to spot, and the material is presented clearly on the page.The book as a whole is exceptionally well-organized, making it easy to skip around, and making this book an outstanding reference.
Good
This book is especially good for those who are not mathematicians, and just need some knowledge of functional analysis for computation or application of rigorous theory. This book is well organized in the sense that the shortest path is easily identified for what we want to learn out of this book. I would strongly recommend.

Makes you actually WANT to study analysis!
Functional analysis is the branch of mathematics concerned with the study of spaces of functions. It has its historical roots in the study of transformations, such as the Fourier transform, and in the study of differential and integral equations. This usage of the word functional goes back to the calculus of variations, implying a function whose argument is a function.Most textbooks claiming to be introductions to this subject are just one proof after another without a clue as to WHY you would want to study this stuff in the first place. Mr. Kreyszig's book is a welcome addition to the family of textbooks that claim to be introductions to the subject because the material is explained in an accessible fashion alongside applications to the material. So YES as one reviewer put it, this book smells like an engineer's text, but to this reader that is a good thing because I get a feel for how to use the information thus motivating me for further study. I particularly liked the sections applying Banach's Fixed Point Theorem to the solution of differential equations and linear equations. As for the suggestions of other reviewers to reject this book in favor of Rudin's, I think that is a bad suggestion for someone other than a graduate student of pure mathematics. Rudin does a great job of explaining all of the theory, but I think that this book is better at providing motivations for the study of functional analysis through the demonstration of applications. Eventually, you should probably read both books. ... Read more

Subjects:  1. Applied    2. Calculus    3. Functional Analysis    4. Mathematics    5. Science/Mathematics    6. Mathematics / Applied    7. Numerical analysis   

Reviews (1)

good math, but no simulations
The mathematical core of the book isimpressively well-established, though hard to be fully understood. One who wants to get a good mathematical basis on the subject of spectral estimation should have this book. The main disadvantage is the lack of simulation results comparing methods or showing their pros/cons. ... Read more

Subjects:  1. Calculus    2. Engineering - Electrical & Electronic    3. Mathematics    4. Science/Mathematics    5. Spectral theory (Mathematics)    6. Technology    7. Communications engineering / telecommunications    8. Technology / Engineering / Electrical   

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