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[null,"1.","Record Nr.",null,"UNINA9910784060303321"]
[null,null,"Autore",null,"Trott Michael"]
[null,null,"Titolo",null,"The Mathematica GuideBook for Numerics [[electronic resource] /] / by Michael Trott"]
[null,null,"Pubbl/distr/stampa",null,"New York, NY : , : Springer New York : , : Imprint : Springer, , 2006"]
[null,null,"ISBN",null,"1-280-65636-0"]
[{"$nulls":4},"9786610656363"]
[{"$nulls":4},"0-387-28814-7"]
[null,null,"Edizione",null,"[1st ed. 2006.]"]
[null,null,"Descrizione fisica",null,"1 online resource (1243 p.)"]
[null,null,"Disciplina",null,"510.285536"]
[{"$nulls":4},"510.2855369"]
[null,null,"Soggetti",null,"Computer software"]
[{"$nulls":4},"Application software"]
[{"$nulls":4},"Computer mathematics"]
[{"$nulls":4},"Algorithms"]
[{"$nulls":4},"Mathematical Software"]
[{"$nulls":4},"Computer Applications"]
[{"$nulls":4},"Computational Mathematics and Numerical Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,"Nota di contenuto",null,"Introduction and Orientation -- I. Numerical Computations: Remarks -- Approximate Numbers -- Fitting and Interpolating Functions -- Compiled Programs -- Linear Algebra -- Fourier Transforms -- Numerical Functions and Their Options -- Sums and Products -- Integration -- Solution of Equations -- Minimization -- Solution of Differential Equations -- Two Applications -- Overview.-Exercises -- References -- II. Computation with Exact Numbers: Remarks -- Divisors and Multiples -- Number Theory Functions -- Combinatorial Functions -- Euler, Bernoulli, and Fibonacci Numbers -- Overview -- Exercises -- References -- Index."]
[null,null,null,"Sommario/riassunto","Mathematica is today's most advanced technical computing system, featuring a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface and a complete mathematical typesetting system, Mathematica offers an intuitive, "]
[{"$nulls":4},"easy-to-handle environment of great power and utility. \"The Mathematica GuideBook for Numerics\" (text and code fully tailored for Mathematica 5.1) concentrates on Mathematica's numerical mathematics capabilities. The available types of arithmetic (machine, high-precision, and interval) are introduced, discussed, and put to use. Fundamental numerical operations, such as compiling programs, fast Fourier transforms, minimization, numerical solution of equations, ordinary/partial differential equations are analyzed in detail and are applied to a large number of examples in the main text and solutions to the exercises."]
[null,"2.","Record Nr.",null,"UNINA9910874660303321"]
[null,null,"Autore",null,"Rossello Damiano"]
[null,null,"Titolo",null,"A Cookbook with Probability One : With Financial Applications / / by Damiano Rossello"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024"]
[null,null,"ISBN",null,"9783031546884"]
[{"$nulls":4},"9783031546877"]
[null,null,"Edizione",null,"[1st ed. 2024.]"]
[null,null,"Descrizione fisica",null,"1 online resource (401 pages)"]
[null,null,"Collana",null,"La Matematica per il 3+2, , 2038-5757 ; ; 161"]
[null,null,"Disciplina",null,"519.2"]
[null,null,"Soggetti",null,"Probabilities"]
[{"$nulls":4},"Statistics"]
[{"$nulls":4},"Probability Theory"]
[{"$nulls":4},"Statistical Theory and Methods"]
[{"$nulls":4},"Probabilitats"]
[{"$nulls":4},"Estadística econòmica"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"1 Probability, Events and Random Variables -- 2 Distribution of Random Variables -- 3 Multidimensional Random Variables -- 4 Moments and the Alike -- 5 Special Distributions -- 6 Conditioning -- 7 Regression, Prediction and more Dependence -- 8 Convergence Concepts -- 9 Introduction to Stochastic Processes -- 10 Introduction to Market Risk Measures."]
[null,null,null,"Sommario/riassunto","This book offers accessible probabilistic modelling of relevant financial problems. It is divided into two parts. The first part (cookbook) is written by emphasizing the key definitions and theorems without wasting too much of the reader with unnecessary technical details. Here, the first kind of target audience is graduate students in Economics with no prior exposition to probability theory (except for undergraduate courses in Applied Statistics) which are provided by a self-contained account of probabilistic modelling mainly applied to finance. The fundamental concepts of random variable/vector and probability distributions are introduced beforehand with respect to the usual treatment of this subject in standard probability textbook, trying to strike a balance between precise mathematical definitions and their "]
[{"$nulls":4},"applied knowledge. All the analytic tools developed are illustrated through examples of probability distributions of future stock prices, returns and profit and loss, together with their main characteristics, such as moments, moment generating and characteristic functions, location-scale families, and quantiles. The extension to the multivariate case for fixed time horizons is presented, together with the fundamentals of stochastic processes both in discrete and continuous time as candidate models for asset prices and return dynamics. Convergence concepts are presented as applied to the problem of point estimation of means, variances, correlation coefficients and risk measures. Short sections on risk and copula functions, further illustrate the potential application of probability models to financial problems. The second part of the book can be accessed by those students with more mathematical preparation. All the relevant proofs of results which are only stated in the first part and some advanced exercises with complete solutions are presented. ."]