Multivariate Calculus and Geometry (Springer Undergraduate Mathematics Series) 3rd Edition by Seán Dineen (PDF)

Description

Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook not only follows this programme, but additionally provides a solid description of the basic concepts, via familiar examples, which are then tested in technically demanding situations. In this new edition the introductory chapter and two of the chapters on the geometry of surfaces have been revised. Some exercises have been replaced and others provided with expanded solutions. Familiarity with partial derivatives and a course in linear algebra are essential prerequisites for readers of this book. Multivariate Calculus and Geometry is aimed primarily at higher level undergraduates in the mathematical sciences. The inclusion of many practical examples involving problems of several variables will appeal to mathematics, science and engineering students.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is not an elementary textbook, it is in fact aimed at higher level undergraduates. This means you shouldn’t be afraid of theorems & their proofs, you should know some linear algebra, including some familiarity with n-dimensional euclidean space, as well as partial derivatives and elementary calculus. The author’s Functions Of Two Variables could be profitably read before tackling the present book.The book is about the differential and integral calculus of multivariable functions, including a very nice introduction to the classical elementary diffential geometry of curves & surfaces. A bent on differential geometry can be perceived all along.The style is elegant and crisp and rather intuitive. All in all it is a very nice book. I didn’t give it five stars because some of the stuff you’d expect to find in an advanced calculus book, such as series (including Taylor’s series) and a careful discussion of differentiability, are missing.(This review is about the first 1998 edition).

⭐you’ll find this book helpful if you are a pure math major, the author starts with proper definitions and also proofs necessary stuff.I used this book for my second-semester calculus course and it helped me well to prepare for exams.before reading this book you should have solid foundations on linear algebra, and single variable calculus preferably proof-based linear algebra.the book has tons of solved examples and some solved exercises! incidentally, the solved exercises leave out gory details, they are advantageous if you know what you are doing yet, stuck on the problem

⭐But not for someone who wants to learn at his own pace.It starts with the Matricial definition of derivatives and assumesa complete knowledge of Matrix Theory.This, at least for me, is neither intuitively nor psychologicallyfriendly. Other math books, which are not even targetted atundergraduates are easier and more fun to follow(e.g. Algebra by B.L. van der Waerden

⭐)Boring, maybe good for someone at college who has a teacher andneed to pass an exam.If you are a math nerd who can follow books like:TheoremProofCorollaryPropositionProofCorollaryPropositionLemmaProofCorollaryTheoremProofCorollary…[Some Explanatory Text]…TheoremProofCorollaryPropositionProofCorollaryPropositionLemmaProof…[Figure]…Then this is the book for you.

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Multivariate Calculus and Geometry (Springer Undergraduate Mathematics Series) 3rd Edition 2014 PDF Free Download
Download Multivariate Calculus and Geometry (Springer Undergraduate Mathematics Series) 3rd Edition PDF
Free Download Ebook Multivariate Calculus and Geometry (Springer Undergraduate Mathematics Series) 3rd Edition