\nAccording 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”.<br />\nThe 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.<br />\n<br />\nChapter 1 - Some elements of logic and set theory<br />\n1.1 Some elements of logic <br />\n1.2 Set Theory <br />\n1.3 Exercises <br />\n<br />\nChapter 2 - Mappings and relations<br />\n2.1 Mappings <br />\n2.2 Binary relations <br />\n2.3 Order relations <br />\n2.4 Exercises <br />\n<br />\nChapter 3 - Combinatorics<br />\n3.1 Dispositions without repetitions and permutations <br />\n3.2 Combinations <br />\n3.3 Dispositions with repetitions <br />\n3.4 Exercises <br />\n<br />\nChapter 4 - Real numbers<br />\n4.1 Fromnatural to realnumbers <br />\n4.2 Quadratic equations and quadratic inequalities <br />\n4.3 Basic topological concepts in R <br />\n4.4 Exercices <br />\n<br />\nChapter 5 - Real-valued functions of one real variable<br />\n5.1 General concepts <br />\n5.2 Trigonometric functions and their inverses <br />\n5.3 Exercises <br />\n<br />\nChapter 6 - Continuous functions<br />\n6.1 Definition and first properties <br />\n6.2 Theorems on continuity <br />\n6.3 Exercises <br />\n<br />\nChapter 7 - Limits<br />\n7.1 Finite limits <br />\n7.2 Infinite limits and limits as x approaches infinity <br />\n7.3 Theorems on limits <br />\n7.4 Limits with the trigonometric functions <br />\n7.5 Exercises <br />\n<br />\nChapter 8 - Exponential and logarithmic functions <br />\n8.1 Powers with real exponents <br />\n8.2 Exponential and logarithmic functions <br />\n8.3 Limits with exponential and logarithmic functions <br />\n8.4 Exercises <br />\n<br />\nChapter 9 - Differential calculus <br />\n9.1 The concept of derivative <br />\n9.2 Important derivatives <br />\n9.3 Theorems on differentiation <br />\n9.4 Local properties of the first degree <br />\n9.5 Theorems on differentiable functions on intervals <br />\n9.6 Local approximation by means of polynomials <br />\n9.7 Local convexity and concavity <br />\n9.8 Exercises <br />\n<br />\nChapter 10 - Integral calculus <br />\n10.1 Indefinite integral <br />\n10.2 Definite integral <br />\n10.3 Exercises <br />\n<br />\nChapter 11 - Matrix algebra and the structure of Rn <br />\n11.1 Basic definitions <br />\n11.2 The algebraic and topological structure of Rn <br />\n11.3 Exercises <br />\n<br />\nChapter 12 - Real functions of many real variables <br />\n12.1 General concepts <br />\n12.2 Quadratic forms <br />\n12.3 Partial derivatives and optimization <br />\n12.4 Exercises <br />\n<br />\nChapter 13 - Basic concepts of financial mathematics <br />\n13.1 Classical financial regimes <br />\n13.2 The regime of compound interest <br />\n13.3 Exercises <br />\n<br />\nChapter 14 - Annuities and debt amortization<br />\n14.1 Annuities and perpetuities <br />\n14.2 Amortization of a debt <br />\n14.3 Negotiation of a debt: Makeham formula <br />\n14.4 Exercises <br />\n<br />\nChapter 15 - Solution to selected Exercises","MetaKeywords":null,"MetaDescription":"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 contai","MetaTitle":"ESSENTIAL MATHEMATICS FOR 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Cod. | 9788891629883 |
Data pubblicazione | Settembre 2018 |
Libri | |
N. pagine | 262 |
Autore | Bosi Gianni, Corsato Chiara, Zuanon Magalì |
Collana | APOGEO |
Anno | 2018 |