Multivariate Calculus and Geometry / Springer Undergraduate Mathematics Series (PDF)
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Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook has successfully followed this programme. It 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.
- Autor: Seán Dineen
- 2014, 3rd ed. 2014, 257 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 1447164199
- ISBN-13: 9781447164197
- Erscheinungsdatum: 18.09.2014
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- Dateiformat: PDF
- Größe: 6.31 MB
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“A textbook aimed at undergraduate mathematics students. … The text is accompanied with a large number of figures and explanatory text. Each chapter is concluded by a collection of exercises of both routine and more theoretical nature. The textbook is written in a readable way, especially it is one of rare cases of multivariate calculus texts consequently linked to the geometric roots of the subject.” (Vladimír Janiš, zbMATH 1312.26001, 2015)
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