Average customer rating:
- Excellent if it si still as good as the edition from 20 years ago
- A totally ineffective method of teaching Calculus
- Brilliant method
- excellent for basic calculus ....
- The worst math book ever
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Calculus and Analytic Geometry
Sherman K. Stein , and
Anthony Barcellos
Manufacturer: McGraw-Hill Science/Engineering/Math
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Student Solutions Manual, Volume 1, to accompany Calculus and Analytic Geometry
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ASIN: 0070611750 |
Book Description
A revision of McGraw-Hill's leading calculus text for the 3-semester sequence taken primarily by math, engineering, and science majors. The revision is substantial and has been influenced by students, instructors in physics, engineering, and mathematics, and participants in the national debate on the future of calculus. Revision focused on these key areas: Upgrading graphics and design, expanding range of problem sets, increasing motivation, strengthening multi-variable chapters, and building a stronger support package.
Customer Reviews:
Excellent if it si still as good as the edition from 20 years ago.......2005-09-20
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.
When I got to the actual class, I knew basicaly everything and I mean everything that the teacher taught us in 12th grade. I didn't even need anything for my first 2 university level courses in calculus, just took the notes in the class and that was enought to get A+ in both, differential and integral calculus (course 1) and Vetor calculus.
The explanation of derivatives was great and my teache just enhanced my knowledge there. The book was specially great when teaching integration. There was a chapter devoted to that. I skept the section about using tables for integration and only learned a few basic formulas. The book taught the methods and still now, after 20 years, I can integrate pretty much anyhing without any difficulty at all.
If the current edition is as good as it was 20 years ago, then this book is definitely a winner.
A totally ineffective method of teaching Calculus.......2005-02-25
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.
Stein's and Barcellos's book has very poor explanations in the chapters and very few examples to explain to you the concepts. Whereas Larson's book has excellent explanation of concepts and follows it up with good examples that make the concepts easy to understand. At the present we are studying the disk and washer methods of finding volume. Stein covers these topics in approximately 3-4 pages of very poor explantions. The Larson book had 2 chapters on the subject and 9 pages just on the 2 methods. I currently have an A in the last quarter of Calculus and I attribute that to using the book by Larson.
As you can see I can not say enough bad about the book by Stein and Barcellos. Good luck and I hope you make the right choice, but don't buy this book.
Brilliant method.......2004-05-30
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 definately not 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 book is 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.
excellent for basic calculus ...........2004-05-25
This book is the best place to start to learn calculus. It starts from very basic principles and also contains some more advanced stuff like Stokes Theorem etc. Some readers may find that the book contains too many basic trivial explanations, but I see this as a strength. When you start learning calculus, I think it is a good idea to explain even the trivial, to make sure that you have a good understanding of really everything. I am sure that most readers will benifit from this, even those already having some more advanced math knowledge. Yes : even this latter group will appreciate the benifits of this book, they can always skip some explanations but will benifit from the very clear exposition of more advanced concepts like Stokes Theorem etc ... Myself for instance, I like the more rigorous and abstract math like "real mathematical analysis", but when I need to refresh some calculus and geometry techniques, this book is really the best to sharpen my intuition and understanding of calculus.
Another excellent feature of the book : this book should serve as an example for the layout of math books : it contains a lot of spacing (handy to make personnal annotations), contains a lot of examples, and contains a lot of excellent pictures illustrating a concept... Also some nice anecdotes are added to keep the reader interested. I wish all math books were like this.
If math is not your strongest skill and you need to learn some higher calculus this book will be your excellent companion helping you to gain the insight and intuition you need. If you are busy with more advanded and abstract math, this book also has something to offer to you : this book serves as a fallback point for sharpening your mathematical intuition and refreshing some concepts that you might have forgotten.
Small drawbacks are : -Some more advanced concepts (like Stokes Theorem) are very well explained, but others are explained without proof (convergence of series...) or with simplified proofs (for instance limited to two dimensional cases, though excellent again to gain mathematical intuition). Maybe this is acceptable for a calculus course, but may disappoint the reader who is looking for rigour.
Conclusion : perfect book to gain insight in calculus, it suits well on the shelf of everybody busy who needs calculus...
The worst math book ever.......2004-02-08
If you have to buy it, buy it. Otherwise, avoid it like the plague. I was forced to buy it because this ass was a professor at UC Davis and made all Davis math students buy it. Even the other professors hated it, but we were stuck with it becuase of his tenure.
Amazon.com
Very useful CD-ROM for all numerically inclined scientists and engineers. Produces TeX source code for selected formulas. Multiplatform-ROM for Mac, Windows, and UNIX.
Book Description
The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CD-Rom.
- Fully searchable CD that puts information at your
fingertips included with text
- Most up to date listing of integrals, series and
products
- Provides accuracy and efficiency in work
Customer Reviews:
Excellent.......2007-07-20
Doesn't replace every other reference--but is pretty darn complete. I love that this 7th edition comes with the CD containing the complete searchable text for no extra charge.
7th Edition book includes the CD-ROM.......2007-03-07
After a 7 year wait, the 7th Edition of Gradshteyn & Ryzhik has finally been released! Other reviews speak to the tremendous utility of this classic. It is worth noting that the latest edition now INCLUDES a fully-searchable CD-ROM version of the book. However, I did notice a bug when using this on Windows XP SP2 with FireFox 2.0.0.2. (The CD-ROM is optimized for the Netscape browser and CANNOT be used with Internet Explorer.) Although I am able to click on the "Contents" button and navigate through the sections; and although I am able to go back to the title page by clicking on "Home"; when I click on the "Book Contents" button in the middle, FireFox freezes on me and I have to terminate the browser process.
Comments on an earlier edition.......2007-01-30
My copy of this book is the 4th edition, 1965. I still vividly
remember going to a bookstore in Berkeley, CA in 1971 and buying this
book for $10 (I also bought the "Feynman Lectures in Physics" on this
trip for $7.45 per volume). I also remember eating lunch at an
outdoor restaurant in Berkeley and having a fantastic view of the San
Francisco Bay Area, as it was an absolutely clear day. As a piece of
useless trivia, I had a liverwurst sandwich on a dark pumpernickel;
this is the first time I ever had liverwurst and fell in love with it!
This book is compendium of mostly integrals. What made it stand out
back then was its organization, making it relatively easy to look
up a particular integral. Most of the formulas come with a reference
to where the formula came from, should one desire to research things
a bit more. While it's not a panacea for dealing with all integrals,
you're likely to find something in here to aid in attacking most
problems.
Before using any of these integrals in an important problem, I'd
recommend you verify the formula first. Fortunately, this isn't
hard to do numerically with modern scripting languages like python,
accompanied by something like scipy, or a computer algebra system
such as Mathematica or Maple.
Integrals Series and Products review.......2007-01-04
I have found the book to be very useful and informative.
A gem.......2007-01-04
Let's keep this short and sweet. The book is probably THE best in what it claims to be, i.e. a compendium of mainly integrals, but all sorts of interesting stuff also manages to find its way in. Why some former reviewers exhaust their artillery in complaining about the CD is beyond me. This is a reference BOOK an as such unsurpassed. Buy it for sheer pleasure if for nothing else. While you're at it, you might want to take a look at Handbook of Mathematics by I. N. Bronshtein et al. which I ordered from Amazon in Germany a moment ago. That one also comes with a CD and I'm getting curious about how it will turn out to be. But Gradshteyn and Ryzhik - the BOOK - are a must.
Book Description
Learn the basics of white noise theory with White Noise Distribution Theory. This book covers the mathematical foundation and key applications of white noise theory without requiring advanced knowledge in this area. This instructive text specifically focuses on relevant application topics such as integral kernel operators, Fourier transforms, Laplacian operators, white noise integration, Feynman integrals, and positive generalized functions. Extremely well-written by one of the field's leading researchers, White Noise Distribution Theory is destined to become the definitive introductory resource on this challenging topic.
Book Description
The fourth and fifth volumes of this extensive multivolume project Integrals and Series are devoted to tables of Laplace transforms. In these companion volumes the authors have collected data scattered throughout the literature, and have augmented this material with many unpublished results obtained in their own research. Volume 4 contains tables of direct Laplace transforms, a number of which are expressed in terms of the Meijer G-function. When combined with the table of special cases, these formulae can be used to obtain Laplace transforms of numerous elementary functions of mathematical physics. Volume 5 offers tables of inversion formulae for the Laplace transformation and includes tables of factorization and inversion of various integral transforms.
Book Description
An accessible, clearly organized survey of the basic topics of measure theory for students and researchers in mathematics, statistics, and physics
In order to fully understand and appreciate advanced probability, analysis, and advanced mathematical statistics, a rudimentary knowledge of measure theory and like subjects must first be obtained. The Theory of Measures and Integration illuminates the fundamental ideas of the subject-fascinating in their own right-for both students and researchers, providing a useful theoretical background as well as a solid foundation for further inquiry.
Eric Vestrup's patient and measured text presents the major results of classical measure and integration theory in a clear and rigorous fashion. Besides offering the mainstream fare, the author also offers detailed discussions of extensions, the structure of Borel and Lebesgue sets, set-theoretic considerations, the Riesz representation theorem, and the Hardy-Littlewood theorem, among other topics, employing a clear presentation style that is both evenly paced and user-friendly. Chapters include:
* Measurable Functions
* The Lp Spaces
* The Radon-Nikodym Theorem
* Products of Two Measure Spaces
* Arbitrary Products of Measure Spaces
Sections conclude with exercises that range in difficulty between easy "finger exercises"and substantial and independent points of interest. These more difficult exercises are accompanied by detailed hints and outlines. They demonstrate optional side paths in the subject as well as alternative ways of presenting the mainstream topics.
In writing his proofs and notation, Vestrup targets the person who wants all of the details shown up front. Ideal for graduate students in mathematics, statistics, and physics, as well as strong undergraduates in these disciplines and practicing researchers, The Theory of Measures and Integration proves both an able primary text for a real analysis sequence with a focus on measure theory and a helpful background text for advanced courses in probability and statistics.
Customer Reviews:
The New Standard for Measure Theory Books.......2004-07-14
This is a fantastic book on measure theory. The focus is on measure theory on its own right and not on probability. I was lucky to come across this book while canvassing the measure theory books at our library. I looked at the books by Billingsley, Halmos, Chung, Resnick, Rao, Rudin, Pollard, Dudley, Nielson, Stroock, Williams, Pitt, and many others. Hand-down, Vestrup is the best.
I believe after scrutinizing so many books, I have a very good baseline to judge Vestrup's work. Here are a few specific reasons:
(1) If you don't like detail and revel in banging your head against the walls to figure out the skipped details in Billingsley, this is not the book for you. But If you are a first timer to measure theory, this is as good as it will get; All the major results of measure theory are presented in detailed and clear manner with few skipped details and few not-so-obvious "it is obvious" remarks.
(2) Vestrup has a lot of exercises with lots of helpful hints. Some problems at first appear to be long and intimidating till you look closely and discover that Vestrup leads you through the problems with his hints.
(3) Certain topics central to understanding of measure theory were given cursory coverage by most of the books mentioned above. Not Vestrup. For example, Vestrup devotes a whole chapter to extensions. This is just one example of many central ideas Vestrup develops meticulously and painstakingly.
This book is fairly new and I think its popularity will grow as more students and professionals discover it. I suppose the only criticism I have is that the typesetting can be improved (second edition maybe?)
There are a few other good books (Ash, Bartle, and Royden) that are out there that you may consider but again Vestrup trumps them all. Whatever you decide on, I strongly warn against using Billingsley.
Average customer rating:
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Time Domain Electromagnetics (Academic Press Series in Engineering)
Manufacturer: Academic Press
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ASIN: 0125801904 |
Book Description
Time Domain Electromagnetics deals with a specific technique in electromagnetics within the general area of electrical engineering. This mathematical method has become a standard for a wide variety of applications for design and problem solving. This method of analysis in electromagnetics is directly related to advances in cellular and mobile communications technology, as well as traditional EM areas such as radar, antennas, and wave propagation. Most of the material is available in the research journals which is difficult for a non-specialist to locate, read, understand, and effectively use for the problem at hand.
* Only book currently available to practicing engineers and research scientists exclusively devoted to this subject
* Includes contributions by the world's leading experts in electromagnetics
* Presents the most popular methods used in time domain analysis are included at one place with thorough discussion of the methods in an easily understandable style
* In each chapter, many simple and practical examples are discussed thoroughly to illustrate the salient points of the material presented
* All chapters are written in a consistent style that allows the book to be of use for self-study by professionals as well as for use in a graduate-level course in electrical engineering
Book Description
Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically unramified rings, the conductor, field separability, valuations, Rees algebras, Rees valuations, reductions, multiplicity, mixed multiplicity, joint reductions, the Briançon-Skoda theorem, Zariski's theory of integrally closed ideals in two-dimensional regular local rings, computational aspects, adjoints of ideals and normal homomorphisms. With many worked examples and exercises, this book will provide graduate students and researchers in commutative algebra or ring theory with an approachable introduction leading into the current literature.
Book Description
Written by acclaimed author and mathematician George Simmons, this revision is designed for the calculus course offered in two and four year colleges and universities. It takes an intuitive approach to calculus and focuses on the application of methods to real-world problems. Throughout the text, calculus is treated as a problem solving science of immense capability.
Customer Reviews:
The Oasis.......2007-04-19
I have a big, dirty secret: I needed three tries to get through calculus. Needless to say, I went through (or at least started) three calculus books. The third of these was Simmons' first edition of the current volume. Dr. Simmons takes a historical approach to the material, following discovery after discovery. While today we define the derivative in terms of the limit, this definition (and the delta-epsilon proof machinery beneath the limit concept) came after the geometric notion of the tangent of a curve. I found it enormously helpful to know where I was going before I started. And why not? The great mathematicians that built the rigorous foundations beneath the calculus all knew where they had to end up.
One other topic that Dr. Simmons enjoys is arithmetic series. This topic unfolded like a flower during its presentation. As I moved into computer science, this provided valuable background to some of the iterative methods of calculation I was exposed to.
I might have a different perspective, though; George Simmons was my Calc 2 prof :-)
solid calc book.......2005-05-20
This book is perfect if you are looking for a book that has a nice balance between theory and application. Theory is presented on an as-needed basis and there is more in the appendix if the reader is so inclined. This was an excellent book for me my freshman year and it has been a good reference for me throughout my math career. It is a nice stepping stone on the way to spivak.
Not Helpful in the Least.......2004-10-25
Another MIT student here... unfortunately not all calc. classes at MIT has stopped using this book. As a result the majority of our class is hopelessly lost... and this is at MIT!!!... now that's a testament to how bad the book is... Things aren't explained well, the examples have nothing to do with the actual problems, and without the "space wasting" graphics that so many other books have it's difficult to visualize what Simmons is talking about, and despite popular opinion visualizing what you are doing is very important to calculus. I'm relying on my HS calc book to get me through the course.
Best! ~ Best! ~ Best!.......2003-12-06
It definitly helps one who want to master Calculus or join the Calculus competiton of any kinds.
It better than "Calculus With Analytic Geometry, Seventh Edition" for it give you some useful appendixs and very simplify than it. It does not includ differential equation for as the author said that it is not useful when there is a full course on differential equation!!!
safe to say it is the best calc book that is still in print.......2003-08-01
Out of the millions and millions of textbooks out there and the thousands I have seen since recently completing grad school and teaching undergrad math for the past few years: I have found that a good book is really hard to find. Further, I was recently recommended Simmons's ODE book for a course & really liked the presentation; thus, I wrote McGraw Hill & asked for a copy any of his other books.
Further, they sent me a copy of his calc book (ISBN 0070576424) and it was a pleasant surprise. A well presented and logically order calc book. This book is not a million pages long nor does it ramble on aimlessly about things that are not necessary to the subject (for which I think many authors just put in to make there books look nice).
Simions did stick with the Late transcendental standard approach, but what I found extremely interesting is that he also pushed the tirg items back also; thus, the part one of this book (basic differentiation / integration) could feasible be used for an applied one semester course clac course ( business clac etc.,), but then on the same note all of the material is there to cover very in depth the concepts of integrating trig functions + some of the applications considered in a regular calc w/ anal geom class. Did I mention that he also has a beautiful appendix that really covers what a limit is ( delta / epsilon stuff) and also has some interesting material on functions that cannot be integrated and advanced convergence test + He has two chapters on series (which is nice because that is truly the backbone of calculus & the students need to focus more on that early rather than being pushed through & then later confused in an advanced calc course ). Then in the later chapters ( multi dim calc) he has many neat applications (derivations Maxwell's equations, Graviton laws, derivation of 3 classic PDE's etc.,) + A nice chapter on Line / Surface integral + Green's & Stokes thrms..
So to me this book has solved my problem: when teaching a course I would usually have an adopted textbook that covers most, then I would need to pull some material from somewhere else, but this book eliminates that: it covers what is needed to be a formal "adopted book for a course" but at the same time it has all kinds of neat resources & applications that I can utilize to make the course more interesting + show either applications or dive more into theory.
Thus, I would strongly recommend taking a look at this book for the course you are teaching, & if you are a student I would recommend looking at Simmions' books to study from, his ODE book is very readable + covers a lot of material & his topology book is a classic in the subject but can be read with some patients + a good understanding of introductory real analysis..
Book Description
This book proveds a clear, concise explanation of Laplace transforms, or operational calculus--now necessary knowledge for engineers, physicists, mathematicians and other scientists. Definitions, principles and theorems are illustrated and reinforced by hundreds of fully worked out problems. Also included are chapters on complex variable theory and Fourier series and integrals, so important to discussions of the complex inversion formula.
Customer Reviews:
Laplace Transforms.......2007-05-12
I have several books on Laplace Transforms; but the Schaum's Outline by Murray Spiegel is particularly well done. The book is logically organized with many worked out examples. This is a classic overview of the Laplace Transform.
Not for us.......2007-05-01
Not for people who need a book on Laplace Transforms. Yes, lots of practice problems with answers. If you get lost and don't know how to go about a problem well page reference would have been nice.
Learning.......2007-01-06
Good overall coverage. nice explanations, and worked examples. id recommend it to anyone wanting to brush up on their transforms before an exam.
Laplace Transforms Explained in Plain English.......2005-09-23
This is a valuable reference to keep handy as a reminder about which transform methods best apply to various problems that you need to solve around the office.
It helped me through control systems.......2003-12-29
This book taught me both the basics and some of the finer points of LaPlace Transforms to get me past that hurdle so that I could begin focussing on the actual material presented in my BioControl Systems course. Many people got so caught up on the mathematics of LaPlace Transforms that they did not even get to the point where they could begin understanding control systems. I bought this book from Amazon at the beginning of the semester and it turned out to be a life-saver for me. I think that had I not sat down with this book for a weekend and taught myself LaPlace Transforms, I would have not passed that class.
Granted, this is a single case for a single class of a single bioengineering student; nevertheless, for my part I strongly recommend this book. I was put in a class where the teacher expected the students to have an understanding of the mathematics from the start. The majority of us didn't have that background, and this book clearly, simply, and without too much complication prepared me for my class which was exactly what I wanted it to do. It has been one of the best investments (as far as school books go) of my college career.
I must leave you with one parting word of wisdom. This book, and I don't think any other book dealing with such an advanced topic, is not easy to read. You will not be able to thoughtlessly master the material. You will work to understand it; your brain may hurt at times. But this book presented the information in a much-more-easy-to-digest manner than any of my college math textbooks, and for that, I am grateful.
Book Description
Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.
Customer Reviews:
Excellent.......2003-11-08
This book is quite thorough, but remains easy to follow (considering the material). It starts out with partial differential equations (no previous PDE experience needed) and shows where Fourier series comes from, which I found motivating since the purpose of Fourier Analysis was evident from the beginning. It then goes into making solutions of arbitrary functions out of sine and cosine functions as well as touching on other orthogonal sets.
The book's main focus is on starting with PDEs and ending with a solution of a Fourier series.
The first chapter was the hardest since the approaches to problems were much different than in calculus, but after adjusting to the material and the approaches to the problems, it gets easier!
Great text for an intro to pde's course!.......2003-04-30
My first encounter with partial differential equations was out of this book. Since then, I've had another course on pde's, and used this book as a reference quite often. Fourier Series adn Boundary Value Problems is very much like Complex Variables and Applicatoins, also by Churchill and Brown. It's accessible to a large audience. Though it would help to have had an advanced calculus course, it isn't necessary to understand the mechanics of solving pde's (namely the variables seperable cases, which is mostly what's in this book). If you're an undergraduate math, engineering or physics student, you'll probably be using this book.
Try Another Text.......2000-08-23
I found Dr. Brown, in conjunction with Dr. Churchill, to have written a very dry and non-useful text. It fails to provide the undergraduate student with the resources and background information that more highly touted books offer. There are a few examples that are somewhat helpful, but overall I found myself having to use reference texts to supplement this one. I am not a math major, but am continually searching for good math texts to help me grasp the fundamentals of more difficult topics. I did not find that help here. Too much 'math prose' and not enough to-the-point definitions and examples, which is the cry of every non-math major. Their treatment of the Laplacian is not even worth the bother of placing it in the book. The physical size of the book is small, (9 1/2 by 6") with 335 pages. Not nearly enough for the treatment of its titled subject.
An excellent book on Fourier Series.......2000-02-12
This is a great book that gives precise examples which are easy to comprehend. Dr. Brown proves to be an excellent author once again.
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