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Multivariate Calculus and Geometry

Springer London,
Buch
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This book covers multivariate calculus with a combination of geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. It features many practical examples involving problems of several variables.

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Titel: Multivariate Calculus and Geometry
Autoren/Herausgeber: Seán Dineen
Aus der Reihe: Springer Undergraduate Mathematics Series
Ausgabe: 3rd ed. 2014

ISBN/EAN: 9781447164180

Seitenzahl: 257
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 421 g
Sprache: Englisch

The author taught for many years at University College Dublin where he is now an emeritus professor. He is the author of many research articles and monographs and of a number of successful and popular textbooks including: Analysis; A Gateway to Understanding Mathematics (World Scientific, 2012) and Probability Theory in Finance: A Mathematical Guide to the Black-Scholes Formula (AMS, Second Edition, 2013).

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.

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