Mathematics for Business Analysis
- Publisher
Mercury Learning and Information - Published
21st November 2023 - ISBN 9781683929376
- Language English
- Pages 360 pp.
- Size 7" x 9"
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- Publisher
Mercury Learning and Information - Published
20th November 2023 - ISBN 9781683929352
- Language English
- Pages 360 pp.
- Size 7" x 9"
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- Publisher
Mercury Learning and Information - Published
20th November 2023 - ISBN 9781683929369
- Language English
- Pages 360 pp.
- Size 7" x 9"
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.
FEATURES:
- Integrates computational understanding with chapters dedicated to PYTHON code examples that illuminate mathematical concepts
- Covers infinitesimal methods, a distinct approach that emphasizes intuition and comprehensive technique development
- Includes differential and difference equations, vital for understanding how variables evolve over time in response to external influences
1: Sets, Numbers, and Algebra
2: Lines, Curves, Functions, and Equations
3: Simultaneous Equations
4: Derivatives and Differentiation
5: Optimization
6: Optimization of Multivariable Functions
7: Integration
8: Matrices
9: First Order Differential Equations
10: Second Order Differential Equations
11: Difference Equations
Appendices:
A. Coding in PYTHON
B. Answers to Odd-Numbered Exercises
Index
Paul Turner, PhD
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 prestigious international journals and is the author of Modern Macroeconomic Analysis (McGraw-Hill) and Econometrics in Practice (Mercury Learning and Information).
Justine Wood, PhD
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.