Differentiation And Integration Of Functions Of Several Variables, Vector Calculus

(Paperback)

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✅ Total 5 new items foundThis is the second volume of 'A Course in Analysis' and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone-Weierstrass theorem or the Arzela-Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals.The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (-Darboux-Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications.The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes.This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.

Author | Kristian P. Evans |

Binding | Paperback |

EAN | 9789813140967 |

Format | Import |

ISBN | 9813140968 |

Height | 957 mm |

Length | 650 mm |

Width | 178 mm |

Language | English |

Language Type | Published |

Number Of Pages | 788 |

Package Quantity | 1 |

Product Group | Book |

Publication Date | 2016-08-29 |

Publisher | World Scientific Publishing Co Pte Ltd |

Studio | World Scientific Publishing Co Pte Ltd |

Sales Rank | 576000 |

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- The author associated with Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is Kristian P. Evans.
- The EAN for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 9789813140967.
- The format for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is Import.
- The ISBN for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 9813140968.
- The height for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 957 mm.
- The length for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 650 mm.
- The width for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 178 mm.
- The language for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is English.
- The binding of Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is Paperback.
- The number of pages for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 are 788.
- The quantity for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 in a package is 1.
- Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is grouped in Book group of products.
- The publication date for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 2016-08-29.
- The publisher for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is World Scientific Publishing Co Pte Ltd.
- The producer for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is World Scientific Publishing Co Pte Ltd.
- The sales rank for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 576000.