Advanced Calculus

I bought this book when I decided to go for graduate studies in mathematics. I was away from college for 3 years and wanted to refresh some of the advanced calc material. You could not ask for any better book. The generic Calculus book I used in college was too basic and this provided a nice bridge and a solid description of the "advanced" calculus. Although the order of the chapters are a little weird, it gets the job done without any lousy explanations. One thing to note is that "brdiging" book. So not so advanced but provides a nice transition if you want to look at some advanced calc books. This neverthless is a great addition

never fails

Certainly an acceptable and sufficiently thorough text for use as a reference or supplement to a course on multivarialble calculus or differential equations. (PERSONALLY) I find this book unsuitable for a formal course on advanced calculus or introductory real analysis. Useful content regardless.

The assigned textbook for my multivariable calculus course was the Adams Seventh edition; I was unimpressed with the depth of the text, and I wanted a wider perspective on the material; I searched around, and came across many, many positive reviews of this particular book. So, since it was so inexpensive, I bought it, and discovered that, to my joy, its treatment of almost every topic was superior and more in line with my professor's methods. In the first few days of owning this volume, I used it more than the assigned textbook; by the end of the semester, I had stopped carrying the Adams and instead referred exclusively to Widder, whose explanations were clearer and more effective in almost every situation I can recall. I strongly recommended it to a friend who is taking that course this semester, and he has already (before the end of the first month of classes) told me that he's found this to be a better text for the course. I only wish more professors would use Dover editions as course texts.

This book is amazing. It is one of the most excititng math texts I have ever studied out of. I encourage any math or physics undergrad to purchase a copy pronto. It is great for self-instruction, and it provides you a much more mature explanation compared to all the "dumbdowned" texts which are taught out of in most universities today. I can't wait to get done with this review so I can get back to it.

Yes, a bit oldfashioned and black and white, but if you want attention to detail and rigorous proofs of all the theorems (gets to be quite advanced) this is a book for you. I taught myself after learning basic diff/int calculus. If you ever read a calc. book and get annoyed by those "..it can be shown.." lines, look in this little text and chances are it IS shown here.

The book has roughly 500+ pages but contains so many topics: Differential geometry, Fourier series, Laplace transform, Stieltjes integral... Each topic can be a sole book, just for introductory. Thus, you can imagine that the book is very concise and, sometimes, "dry". There is not so much motivation or explanation at the beginning of each chapter. I may use it as a (brief) reference rather than textbook.

Great book for students who want to take more advanced topics in Math.The book is assuming that students should have strong foundation in math.