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Mathematics for Business Analysis
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Paul Turner
and Justine Wood
Language:
English
Published/Copyright:
2023
About this book
Designed for students, faculty, and professionals, this book describes the role of mathematics in the world of economics and business. Beginning with the fundamental nature of numbers and progressing into more complex realms like hyperreal numbers and the intricacies of set theory, this book constructs a strong foundational understanding of mathematical concepts. The book uses PYTHON code throughout the text to illustrate problems numerically. As readers advance, the text seamlessly integrates essential topics such as linear simultaneous equations, which are pivotal in analyzing market equilibrium, and covers the mechanics of matrices for solving larger equation systems. Furthermore, chapters dedicated to calculus, especially its applications in economics and the innovative use of infinitesimal methods, equip learners with tools to tackle profit maximization challenges, factor optimization, and beyond. Later chapters unfold the world of differential and difference equations, revealing their significance in analyzing dynamic systems. All these concepts are illuminated through practical examples and numerous images from economics and business, ensuring relevance and clarity.
Author / Editor information
Paul Turner holds a PhD in economics and has over thirty years of teaching experience at the university level. He has written numerous articles for international journals. Justine Wood holds a PhD in economics and is currently an assistant professor of quantitative economics. She has written several articles in the areas of finance and economics.
Topics
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Frontmatter
i -
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Contents
vii -
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Preface
xiii -
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Chapter 1: Sets, Numbers, and Algebra
1 -
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Chapter 2: Lines, Curves, Functions, and Equations
31 -
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Chapter 3: Simultaneous Equations
67 -
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Chapter 4: Derivatives and Differentiation
93 -
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Chapter 5: Optimization
121 -
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Chapter 6: Optimization of Multivariable Functions
145 -
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Chapter 7: Integration
185 -
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Chapter 8: Matrices
211 -
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Chapter 9: First-Order Differential Equations
239 -
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Chapter 10: Second-Order Differential Equations
265 -
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Chapter 11: Difference Equations
287 -
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Appendix A: Coding in PYTHON
311 -
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Appendix B: Odd Numbered Exercises Answers
321 -
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Index
357
Publishing information
Pages and Images/Illustrations in book
eBook published on:
November 15, 2023
eBook ISBN:
9781683929369
Hardcover published on:
December 5, 2023
Hardcover ISBN:
9781683929376
Pages and Images/Illustrations in book
Main content:
360
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com