Functions of several real variables

著者

• Webb, J. R. L. (...Jeffrey R L...)

書誌事項

Functions of several real variables

J. R. L. Webb

（Ellis Horwood series in mathematics and its applications）

Ellis Horwood, 1991

• : pbk

注記

Bibliographical references: p. 239

Includes index

内容説明・目次

巻冊次

ISBN 9780137634262

内容説明

Providing a thorough introduction to the differentiation and integration of functions of several real variables, this book is aimed at second year undergraduates and above who have completed a first elementary course of analysis. It covers many of the topics of advanced calculus including extremum problems and vector calculus. Topological notions such as compactness and connectedness are studied in the concrete setting of Euclidean space to ease the students' encounter with these important concepts. There is a detailed study of continuity and diffentiability of functions plus a comprehensive treatment of the important inverse and implicit function theorems. Very little background knowledge is taken for granted, many basic notions are reviewed, and proofs are carefully explained. Worked examples are included throughout the book, complemented with a wide selection of problems. These are provided with hints for solutions while complete solutions for all problems are given at the end of the text.

目次

• the space 1R
• continuous functions
• differentiable functions
• the implicit and inverse function theorem
• maxima and minima
• integration
• vector calculus.

巻冊次

: pbk ISBN 9780137634347

内容説明

Providing a thorough introduction to the differentiation and integration of functions of several real variables, this book is aimed at second year undergraduates and above who have completed a first elementary course of analysis. It covers many of the topics of advanced calculus including extremum problems and vector calculus. Topological notions such as compactness and connectedness are studied in the concrete setting of Euclidean space to ease the students' encounter with these important concepts. There is a detailed study of continuity and diffentiability of functions plus a comprehensive treatment of the important inverse and implicit function theorems. Very little background knowledge is taken for granted, many basic notions are reviewed, and proofs are carefully explained. Worked examples are included throughout the book, complemented with a wide selection of problems. These are provided with hints for solutions while complete solutions for all problems are given at the end of the text.

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詳細情報

• NII書誌ID(NCID): BA14407622
• ISBN:
  • 0137634269
  • 013763434X
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Chichester [Eng.]
• ページ数/冊数: xiii, 289 p.
• 大きさ: 25 cm
• 分類:
  • DC20 : 515.8
• 親書誌ID:
  • BA00019421