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Principles of Mathematics for Economics - Simone Cerreia-Vioglio, Massimo Marinacci, Elena Vigna

Principles of Mathematics for Economics

Buch | Softcover
XXV, 1505 Seiten
2024 | 10., aktualisierte Auflage
Springer International Publishing (Verlag)
978-3-319-44713-1 (ISBN)
CHF 52,40 inkl. MwSt
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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.

Simone Cerreia-Vioglio is Associate Professor at the Department of Decision Sciences at Università Bocconi in Milan. Massimo Marinacci holds the AXA-Bocconi Chair in Risk at the Department of Decision Sciences at Università Bocconi in Milan. Elena Vigna is Associate Professor at the Department Esomas at the Università di Torino.

Part I Structures.- 1 Sets and Numbers: An Intuitive Introduction.- 2 Cartesian Structure and R^n.- 3 Linear Structure.- 4 Euclidean Structure.- 5 Topological Structure.- 6 Functions.- 7 Cardinality.- Part II Discrete Analysis.- 8 Sequences.- 9 Series.- 10 Discrete Calculus.- Part III Continuity.- 11 Limits of Functions.- 12 Continuous Functions.- Part IV Linear and Nonlinear Analysis.- 13 Linear Functions and Operators.- 14 Concave Functions.- 15 Homogeneous Functions.- 16 Lipschitz Functions.- 17 Supermodular Functions.- Part V Optima.- 18 Optimization Problems.- 19 Semicontinuous optimization.- 20 Projections and Approximations.- 21 Forms and spectra.- Part VI Differential Calculus.- 22 Derivatives.- 23 Differential Calculus in Several Variables.- 24 Differential Methods.- 25 Approximation.- 26 Concavity and Differentiability.- 27 Nonlinear Riesz’s Theorems.- 28 Implicit Functions.- 29 Inverse Functions.- 30 Study of Functions.- Part VII Differential Optimization.- 31 Unconstrained Optimization.- 32 Equality Constraints.- 33 Inequality Constraints.- 34 General Constraints.- 35 Intermezzo: Correspondences.- 36 Parametric Optimization Problems.- 37 Interdependent Optimization.- Part VIII Integration.- 38 The Riemann Integral.- 39 Improper Riemann integrals.- 40 Parametric Riemann integrals.- 41 Stieltjes’ Integral.- 42 Moments.- Part IX Appendices.- A Binary Relations.- B Permutations.- C Notions of Trigonometry.- D Elements of Intuitive Logic.- E Mathematical Induction.- F Cast of Characters.

Erscheinungsdatum
Zusatzinfo Illustrationen
Verlagsort Cham
Sprache englisch
Original-Titel Principi di Matematica per l'Economia
Maße 155 x 235 mm
Einbandart kartoniert
Themenwelt Mathematik / Informatik Mathematik Algebra
Wirtschaft Volkswirtschaftslehre
Schlagworte Differential Calculus • free and constrained optimization • functions of one and more variables • Integral calculus • linear algebra • Linear and Multilinear Algebras, Matrix Theory • Linear Operators • mathematics and statistics • real functions • sequences • Sequences, Series, Summability • vector spaces
ISBN-10 3-319-44713-0 / 3319447130
ISBN-13 978-3-319-44713-1 / 9783319447131
Zustand Neuware
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