Gerard O'Regan

A Guide to Business Mathematics

• Gebundenes Buch

Produktbeschreibung

This book provides a valuable self-study guide to business practitioners, business students and the general reader to enable them to gain an appropriate insight into the mathematics used in business. This book offers an accessible introduction to essential mathematics for the business field.

Produktdetails

• Verlag: Taylor and Francis
• Seitenzahl: 390
• Erscheinungstermin: 25. August 2022
• Englisch
• Abmessung: 234mm x 156mm x 24mm
• Gewicht: 753g
• ISBN-13: 9781032311197
• ISBN-10: 1032311193
• Artikelnr.: 64036387

Autorenporträt

Dr. Gerard O'Regan is an Assistant Professor in Mathematics at the University of Central Asia in Kyrgyzstan. His research interests include software quality and software process improvement, mathematical approaches to software quality, and the history of computing. He is the author of several books in the Mathematics and Computing fields.

Inhaltsangabe

1. Introduction to Number Theory. 1.1. Basic Number Theory. 1.2. Fractions
and Decimals. 1.3. Prime Number Theory. 1.4. Ratios and Proportions. 1.5.
Percentages. 1.6. Review Questions. 1.7. Summary. 2. Algebra. 2.1.
Simplification of Algebraic Expressions. 2.2. Simple and Simultaneous
Equations. 2.3. Quadratic Equations. 2.4. Indices and Logarithms. 2.5.
Exponentials and Natural Logarithms. 2.6. Review Questions. 2.7. Summary.
3. Sets, Relations and Functions. 3.1. Set Theory. 3.2. Relations. 3.3.
Functions. 3.4. Review Questions. 3.5. Summary. 4. Sequences, Series and
Permutations and Combinations. 4.1 Sequences and Series. 4.2. Arithmetic
and Geometric Sequences. 4.3. Arithmetic and Geometric Series. 4.4.
Permutations and Combinations. 4.5. Review Questions. 4.6. Summary. 5.
Simple Interest and Applications. 5.1. Simple Interest. 5.2. Computing
Future and Present Values. 5.3. Promissory Notes. 5.4. Treasury Bills. 5.5.
Review Questions. 5.6. Summary. 6. Compound Interest and Applications.
6.1. Compound Interest. 6.2. Present Value. 6.3. Long Term Promissory
Notes. 6.4. Equivalent Values. 6.5. Analysing the Business Case for a
project. 6.6. Review Questions. 6.7. Summary. 7. Banking and Financial
Services. 7.1. Central Bank. 7.2. Retail Banks. 7.3. Financial Instruments.
7.4. Basic Mathematics of Annuities. 7.5. Loans and Mortgages. 7.6. Foreign
Exchange. 7.7. Corporate Bonds. 7.8. Review Questions. 7.9. Summary. 8.
Trade Discounts and Pricing. 8.1. Calculating Discounts. 8.2. Markups and
Markdowns. 8.3. Payment Terms and Cash Discounts. 8.4. Pricing and Pricing
Policy. 8.5. Review Questions. 8.6. Summary. 9. Statistics. 9.1. Basic
Statistics. 9.2. Frequency Distribution and Charts. 9.3. Statistical
Measures. 9.4. Variance and Standard Deviation. 9.5. Correlation and
Regression. 9.6. Statistical Inference and Hypothesis Testing. 9.7. Review
Questions. 9.8. Summary. 10. Probability Theory. 10.1. Basic Probability
Theory. 10.2. Random Variables. 10.3. Binomial and Poisson Distributions.
10.4. The Normal Distribution. 10.5. Bayesianism. 10.6. Review Questions.
10.7. Summary. 11. The Insurance Industry. 11.1. Basic Mathematics of Motor
Insurance. 11.2. Basic Mathematics of Health Insurance. 11.3. Basic
Mathematics of Pensions. 11.4. The Actuary. 11.5. Review Questions. 11.6.
Summary. 12. Data Science and Data Analytics. 12.1. What is Data Science?
12.2. What is Data Analytics? 12.3. Mathematics in Data Science and
Analytics. 12.4. Privacy. 12.5. Security. 12.6. Review Questions. 12.7.
Summary. 13. Business Metrics and Problem Solving. 13.1. The Goal Question
Metric Paradigm. 13.2. The Balanced Scorecard. 13.3. Metrics for an
Organization. 13.4. Implementing a Metrics Program. 13.5. Problem-Solving
Techniques. 13.6. Review Questions. 13.7. Summary. 14. Matrix Theory.
14.1. Two x Two Matrices. 14.2. Matrix Operations. 14.3. Determinants.
14.4. Eigen Vectors and Values. 14.5. Gaussian Elimination. 14.6.
Applications of Matrices. 14.7. Review Questions. 14.8. Summary. 15.
Operations Research. 15.1. Linear Programming. 15.2. Cost Volume Profit
Analysis. 15.3. Game Theory. 15.4. Queueing Theory. 15.5. Review Questions.
15.6. Summary. 16. Basic Financial Statements. 16.1. Balance Sheet. 16.2.
Profit and Loss Account. 16.3. Managing Cash. 16.4. Review Questions. 16.5.
Summary. 17. Calculus I. 17.1. Differentiation. 17.2. Integration. 17.3.
Review Questions. 17.4. Summary. 18. Calculus II. 18.1. Applications of
Calculus. 18.2. Fourier Series. 18.3. The Laplace Transform. 18.4.
Differential Equations. 18.5. Review Questions. 18.6. Summary. 19. A Brief
Introduction to Economics. 19.1. Macroeconomics. 19.2. Microeconomics.
19.3. Gross Domestic Product. 19.4. Utility. 19.5. Comparative and Absolute
Advantage. 19.6. Elasticity of Demand. 19.7. Role of Money. 19.8. Role of
Government in the Economy. 19.9. Economic Indicators. 19.10. Competition.
19.11. Globalisation and Terms of Trade. 19.12. Mathematics in Economics.
19.13. Review Questions. 19.14. Summary. 20. Software to support Business
Mathematics. 20.1. Microsoft Excel. 20.2. Python. 20.3. Maple. 20.4.
Minitab Statistical Software. 20.5. R Statistical Software Environment.
20.6. Mathematica. 20.7. MATLAB. 20.8. Sage Accounting Software. 20.9. SPSS
Statistics. 20.10. SQL and Relational Databases. 20.11. SAS. 20.12. Review
Questions. 20.13. Summary.

---

1. Introduction to Number Theory. 1.1. Basic Number Theory. 1.2. Fractions and Decimals. 1.3. Prime Number Theory. 1.4. Ratios and Proportions. 1.5. Percentages. 1.6. Review Questions. 1.7. Summary. 2. Algebra. 2.1. Simplification of Algebraic Expressions. 2.2. Simple and Simultaneous Equations. 2.3. Quadratic Equations. 2.4. Indices and Logarithms. 2.5. Exponentials and Natural Logarithms. 2.6. Review Questions. 2.7. Summary. 3. Sets, Relations and Functions. 3.1. Set Theory. 3.2. Relations. 3.3. Functions. 3.4. Review Questions. 3.5. Summary. 4. Sequences, Series and Permutations and Combinations. 4.1 Sequences and Series. 4.2. Arithmetic and Geometric Sequences. 4.3. Arithmetic and Geometric Series. 4.4. Permutations and Combinations. 4.5. Review Questions. 4.6. Summary. 5. Simple Interest and Applications. 5.1. Simple Interest. 5.2. Computing Future and Present Values. 5.3. Promissory Notes. 5.4. Treasury Bills. 5.5. Review Questions. 5.6. Summary. 6. Compound Interest and Applications. 6.1. Compound Interest. 6.2. Present Value. 6.3. Long Term Promissory Notes. 6.4. Equivalent Values. 6.5. Analysing the Business Case for a project. 6.6. Review Questions. 6.7. Summary. 7. Banking and Financial Services. 7.1. Central Bank. 7.2. Retail Banks. 7.3. Financial Instruments. 7.4. Basic Mathematics of Annuities. 7.5. Loans and Mortgages. 7.6. Foreign Exchange. 7.7. Corporate Bonds. 7.8. Review Questions. 7.9. Summary. 8. Trade Discounts and Pricing. 8.1. Calculating Discounts. 8.2. Markups and Markdowns. 8.3. Payment Terms and Cash Discounts. 8.4. Pricing and Pricing Policy. 8.5. Review Questions. 8.6. Summary. 9. Statistics. 9.1. Basic Statistics. 9.2. Frequency Distribution and Charts. 9.3. Statistical Measures. 9.4. Variance and Standard Deviation. 9.5. Correlation and Regression. 9.6. Statistical Inference and Hypothesis Testing. 9.7. Review Questions. 9.8. Summary. 10. Probability Theory. 10.1. Basic Probability Theory. 10.2. Random Variables. 10.3. Binomial and Poisson Distributions. 10.4. The Normal Distribution. 10.5. Bayesianism. 10.6. Review Questions. 10.7. Summary. 11. The Insurance Industry. 11.1. Basic Mathematics of Motor Insurance. 11.2. Basic Mathematics of Health Insurance. 11.3. Basic Mathematics of Pensions. 11.4. The Actuary. 11.5. Review Questions. 11.6. Summary. 12. Data Science and Data Analytics. 12.1. What is Data Science? 12.2. What is Data Analytics? 12.3. Mathematics in Data Science and Analytics. 12.4. Privacy. 12.5. Security. 12.6. Review Questions. 12.7. Summary. 13. Business Metrics and Problem Solving. 13.1. The Goal Question Metric Paradigm. 13.2. The Balanced Scorecard. 13.3. Metrics for an Organization. 13.4. Implementing a Metrics Program. 13.5. Problem-Solving Techniques. 13.6. Review Questions. 13.7. Summary. 14. Matrix Theory. 14.1. Two x Two Matrices. 14.2. Matrix Operations. 14.3. Determinants. 14.4. Eigen Vectors and Values. 14.5. Gaussian Elimination. 14.6. Applications of Matrices. 14.7. Review Questions. 14.8. Summary. 15. Operations Research. 15.1. Linear Programming. 15.2. Cost Volume Profit Analysis. 15.3. Game Theory. 15.4. Queueing Theory. 15.5. Review Questions. 15.6. Summary. 16. Basic Financial Statements. 16.1. Balance Sheet. 16.2. Profit and Loss Account. 16.3. Managing Cash. 16.4. Review Questions. 16.5. Summary. 17. Calculus I. 17.1. Differentiation. 17.2. Integration. 17.3. Review Questions. 17.4. Summary. 18. Calculus II. 18.1. Applications of Calculus. 18.2. Fourier Series. 18.3. The Laplace Transform. 18.4. Differential Equations. 18.5. Review Questions. 18.6. Summary. 19. A Brief Introduction to Economics. 19.1. Macroeconomics. 19.2. Microeconomics. 19.3. Gross Domestic Product. 19.4. Utility. 19.5. Comparative and Absolute Advantage. 19.6. Elasticity of Demand. 19.7. Role of Money. 19.8. Role of Government in the Economy. 19.9. Economic Indicators. 19.10. Competition. 19.11. Globalisation and Terms of Trade. 19.12. Mathematics in Economics. 19.13. Review Questions. 19.14. Summary. 20. Software to support Business Mathematics. 20.1. Microsoft Excel. 20.2. Python. 20.3. Maple. 20.4. Minitab Statistical Software. 20.5. R Statistical Software Environment. 20.6. Mathematica. 20.7. MATLAB. 20.8. Sage Accounting Software. 20.9. SPSS Statistics. 20.10. SQL and Relational Databases. 20.11. SAS. 20.12. Review Questions. 20.13. Summary.