Nidia added it Oct 22, Zack Newman rated it it was ok Nov 21, Designed for courses in advanced calculus and introductory real analysis, the second edition of Elementary Classical Analysis strikes a careful and thoughtful balance between pure and applied mathematics, with the emphasis on techniques important to classical analysis, without vector calculus or complex analysis. Ben rated it really liked it Feb 19, Designed for courses in advanced calculus and introductory real analysis, the second edition of Elementary Classical Analysis strikes a careful and thoughtful balance between pure and applied mathematics, with the emphasis on techniques important to classical analysis, without vector calculus or complex analysis. This single location in Tasmania: Elementary Classical Analysis 2nd Edition Author s: As well as being suitable for students taking pure mathematics, it can also be used by students taking engineering and physical science courses. Elementary Classical Analysis by Jerrold E.
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It is an excellent geometric approach to analysis. It can even help students who have difficulty with epsilon delta proofs understand the geometric intuition behind them.
The proofs are hidden which makes it a challenge for students to try prove everything themsleves before peeking at them, but they are available. Just remember to tell your students where they are! As a student I loved the book because it allowed me to learn everything on the metric space level while allowing students who prefer to stay in Euclidean space to do that.
Now I am a metric geometer. Because my mathematical background is limited, I cannot assess what the book is missing, or whether alternative methods of presentation would be more insightful. But in terms of clarity and comprehensibility, the book does very well. The authors write very carefully and are not cryptic; the proofs and examples are well-presented, and I rarely feel lost.
I am learning a lot from it. An excellent introduction to Real Analysis By Chase Yarbrough on Apr 05, Marsden and Hoffman have done an admirable job combining clarity and rigor in a book appropriate to the level of an advanced undergrad class at a good university.
The organization and tone of the work set it apart from the alternatives. The authors proceed from lesser rigor to greater within each chapter, presenting definitions, theorems, and worked examples before the proofs, which are placed at the end of each chapter. The authors address this somewhat unusual organization in their introduction: "We decided to retain the format of the first edition, which gives full technical proofs at the end of each chapter but presents some idea of the main point in the text.
This seems to have been well-received by the majority of readers It is not meant as a way to shun the proofs; on the contrary it is intended to give to views of the proof: on in the way working mathematicians think about it, the trade secrets, so to speak , and the other in the way mathematicians write out formal proofs.
However, as a math major at Stanford, I felt like this only made the text more readable. Reasonable textbook, some editions full of typos By Fab on Sep 24, The good part: The text contains the usual definitions, theorems and proofs in a spacious layout LaTeX - what would you expect However, the book in its 2nd edition, 7th printing is riddled with typos. And these are not only the occasional harmless typo, no, there are errors at the heart of definitions and proofs.
For example, when defining the limes inferior, the sign on infinity is wrong for degenerate cases. The proof that Q is countable is wrong, too though this is trivial to see, so no confusion here. Lamentably, this is no isolated case. There are about 36! This is really too much for a such an expensive "elementary" textbook. However, apparently there is a new printing as of May that fixes most of these problems.
Previously I had used 1st Ed. Wade and was very disappointed with its lack of explanatory clarity. It was indispensable in supplementing the lecture material and facilitating self-study later. Using this book was the first time I ever realized that I could enjoy a Math Textbook, and furthermore feel confident enough to study independently without course lectures or a professor to fill the gaps.
I originally borrowed my copy from the Math Department and had to return it later. I think it may be time to pick another copy up. Incredibly Useful Book! By David Milliern on Dec 07, This book has some give and take, but I think the value of this book cannot be ignored. While this book is not ideal in its overall presentation, I think the text is one of the best that I have seen in terms of total content and thoroughness of the explanations.
The thing I like about this book is that it is not just a great learning tool, it is also a great reference book. Also, there are some idiosyncracies in the text.
I mention this for students who might be unfamiliar with the subject matter. Such idiosyncracies include terminology differences, exempli gratia, "accumulation points" instead of "limit points," for example. Marsden uses the former. If you have any intention of studying topology, you will be glad you read this book. I really felt it was geared toward this end. This is the major drawback of the book. Although the book does not have as many errors as the first edition, again the publication of faulty solutions keeps this book from being the premiere book on the subject.
I highly recommend the book to advanced undergraduates and graduate students, but caution instructors on the use of the answers provided in the text. This book is complete and yet easy to read.
A Customer on Oct 13, Marsden and Hoffman have created a superior text. Not only are virtually all of the proves provided for elementary analysis, but the text is easy to read and full of examples. If not the best book available, this is certainly one of the top two. This text is outstanding for new mathematicians learning analysis, and yet makes a solid reference text for graduate level studies.
Elementary Classical Analysis is truly a rare find as a high quality, readable mathematical text. A Pleasure to Read By Publicagent on Nov 03, I have looked at several books of analysis, and this is my favorite so far to read. I admire the way that the author presents the theorems and ideas behind the theorems before actually proving them in the text.
This makes for a much cleaner reading of the chapters. Furthermore, all of the theorems are proven at the end of the chapters. This also makes for great reviewing because all of the proofs presented in the text can be read together. Normally when I read analysis texts, they require more energy and effort to get through the proofs that are sensibly contained when the theorems are introduced.
If my mind is not all the way there, however, I have to skip over the details of the proofs and come back to them later. Marsden understands the distinction between reading for understanding, and reading for the technical details.
The exposition in this sense is fantastic, and I was able to read through 85 pages in one day without getting bogged down by too much technical jargon. With that said, the text is technically precise. I picked it up as a supplementary text. Also, I do not find the language extraneous, but rather straight to the point. Includes full chapters on basic topology, compact and connected sets, and Fourier analysis Review of elementary classical analysis By Maddog01 on Feb 19, This book is excellent.
This level of mathematics is very difficult and abstract, but this text book does a great job of explaining ideas clearly. The author introduces ideas of n-dimensions using 2 and 3 dimensions. Great book for basic analysis By Sarah on Jan 29, Great book for basic analysis!
There is a good mix of problems from trivial to terrible. Hints in the back are helpful. Fine basic text By Robert S. Cruikshank Jr. It seems to cover the basics just fine. No particular complaints. The authors present the material in a way that tempts readers to skip the proofs at the end of each chapter. For that, this book loses a star. Dense but clear and concise By Jessie L. Berlin on Jan 13, It takes a while to get through the explanations of the general topics, but they provide excellent examples in each section of the topics being discussed.
The answers in the back of the book, however, are pretty bare boned and not entirely that useful for understanding what you did wrong. Their definitions are not clear. I would not recommend this book. The overall sentiment seems to be that the book is too difficult to follow.
Perhaps for them. And, granted, perhaps this is so for many readers. But some students, who are probably majoring in maths or physics and who might be amongst the top in their classes, are likely to appreciate the book.
It is a rigorous explanation of classical analysis. Frankly, for someone who will not major in maths, you are unlikely to need this level of rigour in your understanding and usage of the maths.
Even theoretical physicists. But you can regard it as a good part of your maths education. The proofs can be quite difficult to follow. It is for good reason that Marsden segregates these into the ends of the chapters. Some proofs are inherently difficult, and need a detailed and careful presentation. The Heine-Borel Theorem, for example. Marsden , Michael J. This particular edition is in a Hardcover format.
It was published by W. Freeman and has a total of pages in the book. To buy this book at the lowest price, Click Here. Similar Books.
Jerry E. Marsden
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