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    ESSENTIAL MATHEMATICS FOR ECONOMICS

    Bosi Gianni, Corsato Chiara, Zuanon Magalì
    This short book is aimed at undergraduate students with a very standard knowledge of algebra learnt at the high school, and it appears as “self contained”.
    According to the long teaching experience of the authors, it was written in order to furnish nearly all the material both for a 90-hour course of “Mathematics for Economics”, and for a 45-hour course of “Financial Mathematics”.
    The book is the result of a thoughtful selection of the arguments, and of the calibration of the difficulty, in order to allow all students to pass the exam with a sufficiently large knowledge of the material, and at the same time to give to the best students the opportunity to detect stimulating occasions for further personal investigation.

    Chapter 1 - Some elements of logic and set theory
    1.1 Some elements of logic
    1.2 Set Theory
    1.3 Exercises

    Chapter 2 - Mappings and relations
    2.1 Mappings
    2.2 Binary relations
    2.3 Order relations
    2.4 Exercises

    Chapter 3 - Combinatorics
    3.1 Dispositions without repetitions and permutations
    3.2 Combinations
    3.3 Dispositions with repetitions
    3.4 Exercises

    Chapter 4 - Real numbers
    4.1 Fromnatural to realnumbers
    4.2 Quadratic equations and quadratic inequalities
    4.3 Basic topological concepts in R
    4.4 Exercices

    Chapter 5 - Real-valued functions of one real variable
    5.1 General concepts
    5.2 Trigonometric functions and their inverses
    5.3 Exercises

    Chapter 6 - Continuous functions
    6.1 Definition and first properties
    6.2 Theorems on continuity
    6.3 Exercises

    Chapter 7 - Limits
    7.1 Finite limits
    7.2 Infinite limits and limits as x approaches infinity
    7.3 Theorems on limits
    7.4 Limits with the trigonometric functions
    7.5 Exercises

    Chapter 8 - Exponential and logarithmic functions
    8.1 Powers with real exponents
    8.2 Exponential and logarithmic functions
    8.3 Limits with exponential and logarithmic functions
    8.4 Exercises

    Chapter 9 - Differential calculus
    9.1 The concept of derivative
    9.2 Important derivatives
    9.3 Theorems on differentiation
    9.4 Local properties of the first degree
    9.5 Theorems on differentiable functions on intervals
    9.6 Local approximation by means of polynomials
    9.7 Local convexity and concavity
    9.8 Exercises

    Chapter 10 - Integral calculus
    10.1 Indefinite integral
    10.2 Definite integral
    10.3 Exercises

    Chapter 11 - Matrix algebra and the structure of Rn
    11.1 Basic definitions
    11.2 The algebraic and topological structure of Rn
    11.3 Exercises

    Chapter 12 - Real functions of many real variables
    12.1 General concepts
    12.2 Quadratic forms
    12.3 Partial derivatives and optimization
    12.4 Exercises

    Chapter 13 - Basic concepts of financial mathematics
    13.1 Classical financial regimes
    13.2 The regime of compound interest
    13.3 Exercises

    Chapter 14 - Annuities and debt amortization
    14.1 Annuities and perpetuities
    14.2 Amortization of a debt
    14.3 Negotiation of a debt: Makeham formula
    14.4 Exercises

    Chapter 15 - Solution to selected Exercises
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    Scheda tecnica
    Cod.9788891629883
    Data pubblicazioneSettembre 2018
    Libri
    N. pagine262
    AutoreBosi Gianni, Corsato Chiara, Zuanon Magalì
    CollanaAPOGEO
    Anno2018
    Disponibilità: Disponibile ora
    €26,00 IVA incl.
    In offerta a: €24,70 IVA incl.
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