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Books > Computing & IT > Computer software packages > Other software packages > Mathematical & statistical software
"MATLAB By Example" guides the reader through each step of writing MATLAB programs. The book assumes no previous programming experience on the part of the reader, and uses multiple examples in clear language to introduce concepts and practical tools. Straightforward and detailed instructions allow beginners to learn and develop their MATLAB skills quickly. The book consists of ten chapters, discussing in detail the
integrated development environment (IDE), scalars, vectors, arrays,
adopting structured programming style using functions and recursive
functions, control flow, debugging, profiling, and structures. A
chapter also describes Symbolic Math Toolbox, teaching readers how
to solve algebraic equations, differentiation, integration,
differential equations, and Laplace and Fourier transforms.
Containing hundreds of examples illustrated using screen shots,
hundreds of exercises, and three projects, this book can be used to
complement coursework or as a self-study book, and can be used as a
textbook in universities, colleges and high schools.
Computeralgebra-Systeme spielen in Zukunft im Mathematikunterricht der Sekundarstufe II eine wichtige Rolle. Dieses Buch ist auf den Schulstoff der Sekundarstufe II ausgerichtet und richtet sich an Lehramtsstudenten und interessierte Lehrer, die sich in das Programm DERIVE einarbeiten mochten, um es dann im Unterricht, insbesondere in Leistungskursen Mathematik, zu verwenden."
Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert's 16th problem. This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert's 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algorithms that are treated in detail, a good balance between theoretical and applied topics is demonstrated. By including complete Maple programs within the text, this book also enables the reader to reconstruct the majority of formulas provided, facilitating the use of concrete models for study. Through the adoption of an elementary and practical approach, this book will be of use to graduate mathematics students wishing to study the theory of limit cycles as well as scientists, across a number of disciplines, with an interest in the applications of periodic behavior."
Si tratta di un'opera introduttiva al campionamento da popolazioni finite. Si ritiene che un'opera su questo argomento sia adatta alle lauree triennali, ma contiene anche una parte di materiale avanzato da utilizzare per lauree specialistiche. L'opera e ricca di esempi, ed e accessibile anche a chi abbia seguito un corso elementare di statistica e probabilita, del tipo di quelli impartiti in lauree triennali di economia. Il volume e adatto non solo a studenti di corsi di laurea in statistica, ma anche a studenti di altre facolta che vogliano usare i metodi di campionamento con taglio elementare e applicativo senza rinunciare ad un modicum di teoria."
Anlasslich des 25jahrigen Jubilaums des Deutschen Krebsforschungszentrums (DKFZ) in Heidelberg geben die Autoren einen Uberblick uber Institutionen und Organisationsformen der Krebsforschung in Deutschland, speziell der Vorgeschichte und Geschichte des DKFZ seit Anfang des 20. Jahrhunderts."
Vielfach genutzt fur die Verarbeitung von Daten in Tabellenform, war Excel bisher fur statistische Analysen weniger geeignet. Seit 2009 kann mit dem Add-In RExcel die StatistiksoftwareR eingebunden werden. Der Band bietet die erste Einfuhrung auf Deutsch zur Benutzung der RExcel-Oberflache. Anhand eines Beispieldatensatzes aus der Herz-Kreislaufforschung werden Deskriptive Statistik, Korrelation und Regression, statistische Tests, Uberlebenszeitanalyse sowie Fallzahlplanung nachvollziehbar dargestellt. Mit Schritt-fur Schritt-Anleitungen und Tipps.
The aim of stochastic programming is to find optimal decisions in problems which involve uncertain data. This field is currently developing rapidly with contributions from many disciplines including operations research, mathematics, and probability. At the same time, it is now being applied in a wide variety of subjects ranging from agriculture to financial planning and from industrial engineering to computer networks. This textbook provides a first course in stochastic programming suitable for students with a basic knowledge of linear programming, elementary analysis, and probability. The authors aim to present a broad overview of the main themes and methods of the subject. Its prime goal is to help students develop an intuition on how to model uncertainty into mathematical problems, what uncertainty changes bring to the decision process, and what techniques help to manage uncertainty in solving the problems. In this extensively updated new edition there is more material on methods and examples including several new approaches for discrete variables, new results on risk measures in modeling and Monte Carlo sampling methods, a new chapter on relationships to other methods including approximate dynamic programming, robust optimization and online methods. The book is highly illustrated with chapter summaries and many examples and exercises. Students, researchers and practitioners in operations research and the optimization area will find it particularly of interest. Review of First Edition: "The discussion on modeling issues, the large number of examples used to illustrate the material, and the breadth of the coverage make 'Introduction to Stochastic Programming' an ideal textbook for the area." (Interfaces, 1998)
The first seven chapters use R for probability simulation and computation, including random number generation, numerical and Monte Carlo integration, and finding limiting distributions of Markov Chains with both discrete and continuous states. Applications include coverage probabilities of binomial confidence intervals, estimation of disease prevalence from screening tests, parallel redundancy for improved reliability of systems, and various kinds of genetic modeling. These initial chapters can be used for a non-Bayesian course in the simulation of applied probability models and Markov Chains. Chapters 8 through 10 give a brief introduction to Bayesian estimation and illustrate the use of Gibbs samplers to find posterior distributions and interval estimates, including some examples in which traditional methods do not give satisfactory results. WinBUGS software is introduced with a detailed explanation of its interface and examples of its use for Gibbs sampling for Bayesian estimation. No previous experience using R is required. An appendix introduces R, and complete R code is included for almost all computational examples and problems (along with comments and explanations). Noteworthy features of the book are its intuitive approach, presenting ideas with examples from biostatistics, reliability, and other fields; its large number of figures; and its extraordinarily large number of problems (about a third of the pages), ranging from simple drill to presentation of additional topics. Hints and answers are provided for many of the problems. These features make the book ideal for students of statistics at the senior undergraduate and at the beginning graduate levels.
Optionen, Futures, Swaps, strukturierte Investments - auf den heutigen Finanzmarkten werden eine Fulle so genannter derivativer (abgeleiteter) Finanzinstrumente gehandelt. Deren Bewertung und Risikomanagement sind Gegenstand der modernen Finanzmathematik. Dieses Buch fuhrt an entsprechende Fragestellungen, Denkweisen und Losungskonzepte heran und legt dabei besonderes Augenmerk auf praxisrelevante Aspekte und Modelle. Die algorithmische Umsetzung der Losungskonzepte wird in zahlreichen Beispielen mit dem Software-Paket "UnRisk" illustriert. Dieses wird Dozenten und Studierenden (zeitlich begrenzt) zur Verfugung gestellt und bietet uber die Plattform "Mathematica" eine graphisch ansprechende Oberflache. Die vorliegende Einfuhrung ist speziell fur Veranstaltungen in Bachelor-Studiengangen konzipiert."
R ist eine objekt-orientierte und interpretierte Sprache und Programmierumgebung fur Datenanalyse und Grafik. Ziel dieses Buches ist es, nicht nur ausfuhrlich in die Grundlagen der Sprache R einzufuhren, sondern auch ein Verstandnis der Struktur der Sprache zu vermitteln. Leicht koennen so eigene Methoden umgesetzt, Objektklassen definiert und ganze Pakete aus Funktionen und zugehoeriger Dokumentation zusammengestellt werden. Die enormen Grafikfahigkeiten von R werden detailliert beschrieben. Die dritte Auflage des Buches ist an die vielen Verbesserungen und Neuerungen bis R-2.7.1 angepasst worden und enthalt weitere von Lesern gewunschte Erganzungen. Das Buch richtet sich an alle, die R als flexibles Werkzeug zur Datenenalyse und -visualisierung einsetzen moechten: Studierende, die Daten fur ihre Diplomarbeit analysieren moechten, Forschende, die neue Methoden ausprobieren moechten, und diejenigen, die in der Wirtschaft taglich Daten aufbereiten, analysieren und anderen in komprimierter Form prasentieren.
Written by the author of the lattice system, this book describes lattice in considerable depth, beginning with the essentials and systematically delving into specific low levels details as necessary. No prior experience with lattice is required to read the book, although basic familiarity with R is assumed. The book contains close to 150 figures produced with lattice. Many of the examples emphasize principles of good graphical design; almost all use real data sets that are publicly available in various R packages. All code and figures in the book are also available online, along with supplementary material covering more advanced topics.
Computeralgebra- Systeme wie MAPLE gehoeren heute zum Alltag aller, die Mathematik in Schule, Wirtschaft und Hochschule anwenden. Gleichzeitig bieten sie die Moeglichkeit, in ganz anderer Weise Beispiele zu untersuchen und zu veranschaulichen, als dies mit Bleistift und Papier moeglich ist. Neben einer Einfuhrung in MAPLE hat dieses Buch zum Ziel, durch die Behandlung von Beispielen den Stoff des ersten Studienjahres, wie er in den Vorlesungen zur Analysis und Linearen Algebra behandelt wird, zu vertiefen und zu veranschaulichen. Es besteht aus Aufgaben mit Erlauterungen, anhand derer der Leser den Stoff eigenstandig durcharbeiten soll. Mathematische Anwendersysteme als berufsbildende Kompetenz in der Bachelor-Ausbildung: Das Buch eignet sich fur ein Modul aufbauend auf den Grundvorlesungen Analysis und Lineare Algebra. Materialien zu diesem Buch fur das E-Learning System OKUSON werden fur Dozenten unter OnlinePLUS bereitgestellt.
A new paradigm for scientific discovery through computational tools now permeates every aspect of astronomical research. Computational astrophysics combines modern computational methods, novel hardware designs, advanced algorithms, original software implementations, and associated technologies to discover new phenomena and to make predictions in astronomy. The proceedings of IAU Symposium 362 summarizes ongoing developments in computational astrophysics through astronomers in diverse fields sharing their knowledge and approaches. It focuses on computational methods applied to speed up and broaden the scope of scientific studies, such as finding trends in observational data, high performance computing, automated search algorithms, and model predictability. Experts discuss a palette of challenging informational and technical developments, with the goal of coordinating their efforts and the improvement of techniques in pursuit of a wide range of astronomical studies, including fluid dynamics in star and galaxy evolution, exoplanets, gravitational waves, numerical relativity, data mining, and much more.
Il volume si propone di fornire una prima introduzione alla teoria elementare dei numeri, rivolta agli insegnanti (e ai futuri insegnanti) di matematica. Esso vuole costituire un invito e una preparazione per la lettura di opere piu impegnative di cui c'e gran copia nella letteratura di lingua inglese e (ultimamente grazie proprio a Springer) una buona presenza anche in lingua italiana. Esso si caratterizza per avere una "approccio computazionale" cioe per favorire l'uso di un software (scegliendolo tra i piu diffusi oggi in commercio) ai fini della costruzione di un laboratorio di calcolo.
Unter Computeralgebra versteht man den Grenzbereich zwischen Algebra und Informatik, der sich mit Entwurf, Analyse, Implementierung und Anwendung algebraischer Algorithmen befasst. Entsprechend dieser Sichtweise stellt der Autor einige Computeralgebra-Systeme vor und zeigt an Beispielen deren LeistungsfAhigkeit. Grundlegende Techniken, wie etwa das Rechnen mit groAen ganzen Zahlen, werden untersucht. FA1/4r komplexe Fragestellungen wie das Faktorisieren von Polynomen, werden mehrere Algorithmen angeboten, da diese verschiedene StArken haben. HAufig ist der vermeintliche Umweg A1/4ber andere mathematische Strukturen der schnellste Weg. In den ersten Kapiteln werden die nAtigen mathematischen Grundlagen zur VerfA1/4gung gestellt. Die folgenden Kapitel kAnnen dann weitestgehend unabhAngig voneinander gelesen werden. Alle vorgestellten Algorithmen werden begrA1/4ndet und teilweise in einer Pseudoprogrammiersprache dargestellt. Das Buch richtet sich gleichermaAen an Studierende der Mathematik und der Informatik.
Dynamische Systeme stellen einen unverzichtbaren Bestandteil
mathematischer
MuPAD ist ein Computeralgebra-System, mit dem nicht nur Problemstellungen der Mathematik sondern auch mathematische Aufgaben in den Natur- und Ingenieurwissenschaften behandelt werden konnen. Das Tutorium fur Einsteiger fuhrt grundlegend in MuPAD ein (ab Version 3.0.). In nachvollziehbaren Schritten werden die wichtigsten Bausteine vorgestellt. Systemfunktionen, Graphik sowie Programmierung konnen Nutzer anhand zahlreicher Beispiele einuben. Zukunftige Anderungen und Erweiterungen werden unter http: //www.mupad.de/doc.html dokumentiert."
This textbook presents the essential tools and core concepts of data science to public officials, policy analysts, and economists among others in order to further their application in the public sector. An expansion of the quantitative economics frameworks presented in policy and business schools, this book emphasizes the process of asking relevant questions to inform public policy. Its techniques and approaches emphasize data-driven practices, beginning with the basic programming paradigms that occupy the majority of an analyst's time and advancing to the practical applications of statistical learning and machine learning. The text considers two divergent, competing perspectives to support its applications, incorporating techniques from both causal inference and prediction. Additionally, the book includes open-sourced data as well as live code, written in R and presented in notebook form, which readers can use and modify to practice working with data.
Ce livre est une introduction a la theorie de la complexite algebrique basee sur un panorama des methodes algorithmiques en algebre lineaire exacte. Il donne en particulier les principaux algorithmes pour le calcul du polynome caracteristique. Ce livre se remarque par l'etendue des sujets traites tout en restant tres lisible.
Dieses zweibandige Lehrbuch umfasst einen Kanon von Themen, der an
vielen Universitaten unter dem Titel "Diskrete Strukturen" fester
Bestandteil des Informatik-Grundstudiums geworden ist. Bei der
Darstellung wird neben der mathematischen Exaktheit besonderer Wert
darauf gelegt, auch das intuitive Verstandnis zu fordern, um so das
Verstehen und Einordnen des Stoffs zu erleichtern. Unterstutzt wird
dies durch zahlreiche Beispiele und Aufgaben, vorwiegend aus dem
Bereich der Informatik. Das Lehrbuch basiert auf Vorlesungen, die
seit mehreren Jahren an der Technischen Universitat Munchen
gehalten werden.
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