Math for Business and Economics: Compendium of Essential Formulas
暫譯: 商業與經濟數學:基本公式彙編

Peren, Franz W.

  • 出版商: Springer
  • 出版日期: 2025-04-26
  • 售價: $4,910
  • 貴賓價: 9.5$4,665
  • 語言: 英文
  • 頁數: 655
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3662711702
  • ISBN-13: 9783662711705
  • 相關分類: 工程數學 Engineering-mathematics
  • 海外代購書籍(需單獨結帳)

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商品描述

This 4th edition revised and extended compendium contains and explains essential mathematical formulas within an economic context. Newly added content introduces non-linear optimization, focusing on maximizing or minimizing real problems using at least one non-linear function and continuous variables. It explains how non-linear programs may include various constraints, are influenced by the properties of the objective functions and the admissible domain, and are characterized by iterative solution processes that ideally converge to feasible, locally optimized solutions.

A broad range of aids and supportive examples will help readers to understand the formulas and their practical applications. This mathematical formulary is presented in a practice-oriented, clear, and understandable manner, as it is needed for meaningful and relevant application in global business, as well as in the academic setting and economic practice. The topics presented include but are not limited to mathematical signs and symbols, logic, arithmetic, algebra, linear algebra, combinatorics, and financial mathematics, including an international comparison between different national methods used in the calculation of interest, optimization of linear models, functions, differential calculus, integral calculus, elasticities, annuity calculation, economic functions, and the Peren Theorem.

Given its scope, the book offers an indispensable reference guide and is a must-read for undergraduate and graduate students, as well as managers, scholars, and lecturers in business, politics, and economics.

商品描述(中文翻譯)

這本第四版的修訂和擴展彙編包含並解釋了在經濟背景下的基本數學公式。新增的內容介紹了非線性優化,重點在於使用至少一個非線性函數和連續變數來最大化或最小化實際問題。它解釋了非線性程序可能包含各種約束,受到目標函數和可接受範圍的性質影響,並以迭代解決過程為特徵,理想情況下收斂到可行的局部最優解。

廣泛的輔助工具和支持性範例將幫助讀者理解這些公式及其實際應用。這本數學公式集以實踐導向、清晰且易於理解的方式呈現,因為在全球商業、學術環境和經濟實踐中,這是進行有意義和相關應用所需的。所呈現的主題包括但不限於數學符號和標記、邏輯、算術、代數、線性代數、組合數學和金融數學,包括不同國家在計算利息、線性模型優化、函數、微積分、積分、彈性、年金計算、經濟函數和Peren定理等方面的國際比較。

鑒於其範圍,本書提供了不可或缺的參考指南,對於本科生和研究生,以及商業、政治和經濟領域的管理者、學者和講師來說,都是必讀之作。

作者簡介

Franz W. Peren is a professor of business administration at the Bonn-Rhein-Sieg University, Germany, specializing in quantitative methods. He has been teaching business mathematics, business statistics, and quantitative methods in planning, taxation, and controlling within operational and strategic management since 1993, mainly at German universities of applied sciences. He has also taught and conducted research as a visiting professor at the University of Victoria in Victoria, BC, Canada, and at Columbia University in New York City, USA.

作者簡介(中文翻譯)

Franz W. Peren 是德國波恩-萊茵-西格大學的商業管理教授,專精於定量方法。自1993年以來,他主要在德國應用科技大學教授商業數學、商業統計以及在運營和戰略管理中的規劃、稅務和控制的定量方法。他還曾作為訪問教授在加拿大不列顛哥倫比亞省的維多利亞大學和美國紐約市的哥倫比亞大學教授及進行研究。