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## Multivariate calculus and geometry / Seán Dineen

Material type: TextPublisher: London : Springer, 2014Edition: Third edition; Third editionDescription: 1 online resource (271 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 1447164199; 9781447164197Subject(s): Calculus | GeometryGenre/Form: Electronic books. Additional physical formats: Print version:: Multivariate Calculus and Geometry.DDC classification: 515 LOC classification: QA303
Contents:
Introduction to Differentiable Functions -- Level Sets and Tangent Spaces -- Lagrange Multipliers -- Maxima and Minima on Open Sets -- Curves in Rn -- Line Integrals -- The Frenet?Serret Equations -- Geometry of Curves in R3 -- Double Integration -- Parametrized Surfaces in R3 -- Surface Area -- Surface Integrals -- Stokes? Theorem -- Triple Integrals -- The Divergence Theorem -- Geometry of Surfaces in R3 -- Gaussian Curvature -- Geodesic Curvature
Summary: 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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Item type Current library Collection Call number Status Date due Barcode e-Books Main Library -University of Zimbabwe
Click on Online resources to access the e-Book QA303 (Browse shelf (Opens below)) Available
##### Browsing Main Library -University of Zimbabwe shelves, Collection: Click on Online resources to access the e-Book Close shelf browser (Hides shelf browser)
 QA297 .C4185 2012 Applied numerical methods with MATLAB for engineers and scientists / QA300 Real analysis : foundations and functions of one variable / QA300 Understanding analysis / QA303 Multivariate calculus and geometry / QA303 .R726 2013 Elementary analysis : the theory of calculus / QA303.2 Calculus with applications / QA331 .B23 2010eb Complex analysis /

Includes index

Introduction to Differentiable Functions -- Level Sets and Tangent Spaces -- Lagrange Multipliers -- Maxima and Minima on Open Sets -- Curves in Rn -- Line Integrals -- The Frenet?Serret Equations -- Geometry of Curves in R3 -- Double Integration -- Parametrized Surfaces in R3 -- Surface Area -- Surface Integrals -- Stokes? Theorem -- Triple Integrals -- The Divergence Theorem -- Geometry of Surfaces in R3 -- Gaussian Curvature -- Geodesic Curvature

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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

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