Multivariate Calculus and Geometry [electronic resource] / by Seán Dineen.
Material type: Computer filePublication details: London : Springer London : Imprint: Springer, 2014.Edition: 3rd ed. 2014Description: XIV, 257 p. 103 illus. online resourceISBN:- 9781447164197
- 510Â 23
Item type | Home library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
e-Book | S. R. Ranganathan Learning Hub Online | 510 (Browse shelf(Opens below)) | Available | EB1419 |
Browsing S. R. Ranganathan Learning Hub shelves, Shelving location: Online Close shelf browser (Hides shelf browser)
502.82 Wi637S Scanning Probe Microscopy and Spectroscopy : Methods and Applications | 502.825 C42I Introduction to Scanning Tunneling Microscopy | 502.825 C42I Intuition | 510 Multivariate Calculus and Geometry | 510 G189D Discrete Mathematics : Proofs, Structures and Applications | 510 G193A All the Mathematics You Missed : But Need to Know for Graduate School | 510 J639D Discrete Mathematics, Global Edition |
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.
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.
There are no comments on this title.