Advanced calculus for economics and finance : theory and methods

書誌事項

Advanced calculus for economics and finance : theory and methods

Giulio Bottazzi

(Classroom companion : economics)

Springer, c2023

  • : hbk

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注記

Includes index

内容説明・目次

内容説明

This textbook provides a comprehensive introduction to mathematical calculus. Written for advanced undergraduate and graduate students, it teaches the fundamental mathematical concepts, methods and tools required for various areas of economics and the social sciences, such as optimization and measure theory. The reader will be introduced to topological, metric and normed spaces, learning about numerical sequences, series, and differential and integral calculus. These concepts are introduced using the axiomatic approach as a tool for logical reasoning, consistency, and formalization of ideas. The book follows a theorem-proving approach, stressing the limitations of applying the different theorems, while providing thought-provoking counter-examples. Each chapter features exercises that facilitate learning and allow students to apply and test important concepts and tools.

目次

Chapter 1. Preliminaries.- Chapter 2. Topology.- Chapter 3. Metric Spaces.- Chapter 4. Normed Spaces.- Chapter 5. Sequences and Series.- Chapter 6. Differential Calculus of functions of one variable.- Chapter 7. Functions of several variables.- Chapter 8. Integral Calculus.- Chapter 9. Measure Theory.

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詳細情報

  • NII書誌ID(NCID)
    BD04733381
  • ISBN
    • 9783031303159
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xi, 315 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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