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MATHEMATICS FOR ECONOMICS AND BUSINESS.

Author: LORENZO PECCATI
Publisher: [Place of publication not identified] : BOCCONI UNIV PR, 2017.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Focuses on a number of selected, fundamental topics: the knowledge of Calculus, for functions of one and two variables; the use of Calculus in optimization; the notion of integral for functions of  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
PECCATI, LORENZO.
MATHEMATICS FOR ECONOMICS AND BUSINESS.
[Place of publication not identified] : BOCCONI UNIV PR, 2017
(OCoLC)988165267
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: LORENZO PECCATI
ISBN: 9788885486041 8885486045
OCLC Number: 1027218843
Description: 1 online resource (vi, 393 pages) : illustrations
Contents: MATHEMATICS FOR ECONOMICS AND BUSINESS; Contents; Preface; Structure of the book; Accompanying resources in Mybook; 1. Numbers; 1.1 Natural and relative integers; 1.2 Rational numbers; 1.3 Real numbers; 1.4 Sum of terms in a progression; 1.5 An outline of set theory; 1.6 Sets of real numbers; 1.7 The cartesian plane; 1.8 How many elements in a set?; 1.9 Exercises; 2. Functions; 2.1 The concept of function; 2.2 Sequences; 2.3 Linear functions; 2.4 Quadratic and inverse proportionality; 2.5 Composite function. Inverse function; 2.6 Monotonic, bounded, convex functions; 2.7 Power functions. 2.8 Exponential, logarithmic, trigonometric functions2.9 Geometric transformations; 2.10 Exercises; 3. Limits; 3.1 Limits of sequences; 3.2 Limits of functions; 3.3 Existence of the limit; 3.4 The number e; 3.5 Calculation of limits; 3.6 Comparisons; 3.7 Exercises; 4. Continuity; 4.1 An intuitive idea of continuity; 4.2 Continuous functions; 4.3 Properties of continuous functions; 4.4 Exercises; 5. Differential Calculus and Optimization; 5.1 Derivative and tangent line; 5.2 Elementary formulae; 5.3 Algebra of derivatives; 5.4 Composite functions and inverse functions; 5.5 The differential. 5.6 Elasticity and semi-elasticity5.7 Optimization and stationary points; 5.8 Lagrangeâ#x80;#x99;s mean value theorem; 5.9 Monotonicity test; 5.10 De lâ#x80;#x99;Hospitalâ#x80;#x99;s theorem; 5.11 Taylorâ#x80;#x99;s formula; 5.12 Test for convexity (or concavity); 5.13 Taylorâ#x80;#x99;s formula of order n; 5.14 Exercises; 6. Series; 6.1 The concept of series; 6.2 Geometric series; 6.3 The problem of convergence; 6.4 Series with non-negative terms; 6.5 Series with terms of non-constant sign; 6.6 Exercises; 7. Integral Calculus; 7.1 Introduction; 7.2 The Riemann integral; 7.3 Properties of the integral. 7.4 The Fundamental Theorem of Calculus7.5 The indefinite integral; 7.6 Improper integrals; 7.7 Integrability criteria; 7.8 Series and integrals; 7.9 Integral functions; 7.10 Exercises; 8. Vectors and Matrices; 8.1 Vectors in Rn; 8.2 Operations with vectors; 8.3 Inner product of two vectors; 8.4 Subspaces of Rn; 8.5 Linear dependence; 8.6 Bases and dimension of a subspace of Rn; 8.7 Matrices; 8.8 Operations with matrices; 8.9 The determinant; 8.10 Inverse matrix; 8.11 Rank of a matrix; 8.12 Exercises; 9. Linear Systems and Functions; 9.1 Linear systems. 9.2 Systems with n equations and n unknowns9.3 General systems; 9.4 Structure of the solutions; 9.5 Economic applications; 9.6 Linear functions from Rn to Rm; 9.7 Exercises; 10. Multivariable Differential Calculus; 10.1 Introduction; 10.2 Domain of a function; 10.3 Global and local extrema; 10.4 Quadratic forms; 10.5 Continuity; 10.6 Partial derivatives; 10.7 Differentiability and tangent plane; 10.8 Implicit functions; 10.9 Second order Taylorâ#x80;#x99;s formula; 10.10 Functions of n variables; 10.11 Optimization. Unconstrained extrema; 10.12 Constrained extrema; 10.13 Exercises.

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