Buch, Englisch, 1505 Seiten, Format (B × H): 155 mm x 235 mm
ISBN: 978-3-319-44713-1
Verlag: Springer
This textbook provides a comprehensive and rigorous introduction to various mathematical topics that play a key role in economics and finance. Motivated by economic applications, the authors introduce students to key mathematical ideas through an economic viewpoint, starting from the real line and moving to n-dimensional spaces, with a special emphasis on global optimization. Additionally, the text helps unacquainted, but intellectually curious, students become familiar with mathematical proofs.
The book is suitable for both self-study and rigorous introductory mathematics courses for undergraduate students majoring in economics or finance.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Part I Structures.- 1 Sets and Numbers.- 2 Cartesian Structure and R^n.- 3 Linear Structure.- 4 Euclidean Structure.- 5 Topological Structure.- Part II Functions.- 6 Functions.- 7 Application: Set Functions and Probability.- 8 Sequences.- 9 Application: Prices and Expectations.- 10 Numerical Series.- 11 Limits of Functions.- 12 Continuous Functions.- Part III Linear and Non-linear Analysis.- 13 Linear Functions and Operators.- 14 Concave Functions.- 15 Homogeneous Functions.- 16 Problems of Optimum.- Part IV Differential Calculus.- 17 Derivatives.- 18 Partial Derivation.- 19 Differential Methods.- 20 Approximation.- 21 Concavity and Differentiability.- 22 Complements.- Part V Integration.- 23 Riemann Integral.- 24 Stieltjes Integral.- 25 Integrals Depending on a Parameter.- 26 General Integral.- VI Optimization.- 27 Preview.- 28 Constrained Local Optimization.- 29 Mathematical Programming.- Part VII Risk and Investment.- 30 Risk Theory.- 31 Investment.
