Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem sets Advanced color graphics Coverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervals

Building SPSS Graphs to Understand Data is for anyone needing to understand large or small amounts of data. It describes how to build and interpret graphs, showing how understanding data means that the graph must clearly and succinctly answer questions about the data. In 16 of the 19 chapters research questions are presented, and the reader builds the appropriate graph needed to answer the questions. This handy guide can be used in conjunction with any introductory or intermediate statistics book where the focus is on in-depth presentation of how graphs are used. This book will also useful for graduate students doing research at the masters or doctoral level. The book also contains a chapter designed to address many of the ways that graphs can be used to mislead the graph reader.

Keeping the uniquely humorous and self-deprecating style that has made students across the world fall in love with Andy Field's books, Discovering Statistics Using R takes students on a journey of statistical discovery using R, a free, flexible and dynamically changing software tool for data analysis that is becoming increasingly popular across the social and behavioural sciences throughout the world. The journey begins by explaining basic statistical and research concepts before a guided tour of the R software environment. Next you discover the importance of exploring and graphing data, before moving onto statistical tests that are the foundations of the rest of the book (for example correlation and regression). You will then stride confidently into intermediate level analyses such as ANOVA, before ending your journey with advanced techniques such as MANOVA and multilevel models. Although there is enough theory to help you gain the necessary conceptual understanding of what you're doing, the emphasis is on applying what you learn to playful and real-world examples that should make the experience more fun than you might expect. Like its sister textbooks, Discovering Statistics Using R is written in an irreverent style and follows the same ground-breaking structure and pedagogical approach. The core material is augmented by a cast of characters to help the reader on their way, together with hundreds of examples, self-assessment tests to consolidate knowledge, and additional website material for those wanting to learn more. Given this book's accessibility, fun spirit, and use of bizarre real-world research it should be essential for anyone wanting to learn about statistics using the freely-available R software.

Matrix Algorithms in MATLAB focuses on the MATLAB code implementations of matrix algorithms. The MATLAB codes presented in the book are tested with thousands of runs of MATLAB randomly generated matrices, and the notation in the book follows the MATLAB style to ensure a smooth transition from formulation to the code, with MATLAB codes discussed in this book kept to within 100 lines for the sake of clarity. The book provides an overview and classification of the interrelations of various algorithms, as well as numerous examples to demonstrate code usage and the properties of the presented algorithms. Despite the wide availability of computer programs for matrix computations, it continues to be an active area of research and development. New applications, new algorithms, and improvements to old algorithms are constantly emerging.

To date, statistics has tended to be neatly divided into two theoretical approaches or frameworks: frequentist (or classical) and Bayesian. Scientists typically choose the statistical framework to analyse their data depending on the nature and complexity of the problem, and based on their personal views and prior training on probability and uncertainty. Although textbooks and courses should reflect and anticipate this dual reality, they rarely do so. This accessible textbook explains, discusses, and applies both the frequentist and Bayesian theoretical frameworks to fit the different types of statistical models that allow an analysis of the types of data most commonly gathered by life scientists. It presents the material in an informal, approachable, and progressive manner suitable for readers with only a basic knowledge of calculus and statistics. Statistical Modeling with R is aimed at senior undergraduate and graduate students, professional researchers, and practitioners throughout the life sciences, seeking to strengthen their understanding of quantitative methods and to apply them successfully to real world scenarios, whether in the fields of ecology, evolution, environmental studies, or computational biology.

Dieses Buch bietet einen historisch orientierten Einstieg in die Algorithmik, also die Lehre von den Algorithmen, in Mathematik, Informatik und daruber hinaus. Besondere Merkmale und Zielsetzungen sind: Elementaritat und Anschaulichkeit, die Berucksichtigung der historischen Entwicklung, Motivation der Begriffe und Verfahren anhand konkreter, aussagekraftiger Beispiele unter Einbezug moderner Werkzeuge (Computeralgebrasysteme, Internet). Als Zusatzmedien werden computer- und internetspezifische Interaktions- und Visualisierungsmoeglichkeiten (kostenlos) zur Verfugung gestellt. Das Werk wendet sich an Studierende und Lehrende an Schulen und Hochschulen sowie an Nichtspezialisten, die an den Themen "Computer/Algorithmen/Programmierung" einschliesslich ihrer historischen und geisteswissenschaftlichen Dimension interessiert sind.

Berthold Heinrich stellt die mathematischen und zeichnerischen Grundlagen fur die Darstellung von Objekten im Raum auf kariertem Papier vor. Dabei prasentiert er auch die Nutzung von Software. In der Schule wird oft kariertes Papier als Raster zur Darstellung von Flachen und Koerpern genutzt. Allerdings werden, selbst in einigen Druckwerken, z.B. die entstehenden Ellipsen und Winkelboegen ungenau gezeichnet oder eine Kugelkontur falsch als Kreis dargestellt. Im vorliegenden Essential werden die korrekten Verfahren sowohl theoretisch als auch an konkreten Beispielen vorgestellt und koennen meist direkt umgesetzt werden. Einige aufwandigere Ablaufe stellt der Autor anschaulich an Beispielen dar.

Der Leser wird von der Untersuchung und Darstellung empirisch vorgefundener Daten bis zu Planung und Auswertung eigener statistischer Versuchsplane durch dieses Buch begleitet. Es wird dabei ganz bewusst auf praktisch relevante und bewahrte Methoden Bezug genommen und auf weiterfuhrende wissenschaftliche Beschreibungen verzichtet. Praktisch relevante Methoden werden im Zusammenhang dargestellt."

Dieser Band mit Beitragen aus der nationalen und internationalen Forschung zum 60. Geburtstag von Prof. Dr. Rolf Biehler (Universitat Paderborn) prasentiert wissenschaftliche Arbeiten zum Werkzeugeinsatz beim Lehren und Lernen von Mathematik im Allgemeinen sowie von Statistik und Stochastik im Besonderen. Wie ein roter Faden durchzieht den Festband, wie auch schon das wissenschaftliche Oeuvre von Rolf Biehler, ein breites Verstandnis des Begriffs Werkzeug (engl. tools ). Die Themen decken das komplette Spektrum der Mathematikdidaktik auf allen Schulstufen sowie auf dem tertiaren Sektor ab. Es gibt Beitrage zum Einsatz von Tools in der Grundschule, ebenso wie aus den Sekundarstufen, der Hochschule und der Lehreraus- und -weiterbildung. Im Band werden sowohl Beispiele zum konkreten Einsatz von Werkzeugen im Unterricht aufgezeigt, als auch Studien zur Wirksamkeit von Werkzeugen im Kontext von Mathematiklernen, theoretische Artikel zum Einsatz von Werkzeugen und Neuentwicklungen von Werkzeug-Software vorgelegt.

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Discover easy-to-follow solutions and techniques to help you to implement applied mathematical concepts such as probability, calculus, and equations using Python's numeric and scientific libraries Key Features Compute complex mathematical problems using programming logic with the help of step-by-step recipes Learn how to use Python libraries for computation, mathematical modeling, and statistics Discover simple yet effective techniques for solving mathematical equations and apply them in real-world statistics Book DescriptionThe updated edition of Applying Math with Python will help you solve complex problems in a wide variety of mathematical fields in simple and efficient ways. Old recipes have been revised for new libraries and several recipes have been added to demonstrate new tools such as JAX. You'll start by refreshing your knowledge of several core mathematical fields and learn about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you progress, you'll gradually get to grips with more advanced topics of calculus, probability, and networks (graph theory). Once you've developed a solid base in these topics, you'll have the confidence to set out on math adventures with Python as you explore Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science. What you will learn Become familiar with basic Python packages, tools, and libraries for solving mathematical problems Explore real-world applications of mathematics to reduce a problem in optimization Understand the core concepts of applied mathematics and their application in computer science Find out how to choose the most suitable package, tool, or technique to solve a problem Implement basic mathematical plotting, change plot styles, and add labels to plots using Matplotlib Get to grips with probability theory with the Bayesian inference and Markov Chain Monte Carlo (MCMC) methods Who this book is forWhether you are a professional programmer or a student looking to solve mathematical problems computationally using Python, this is the book for you. Advanced mathematics proficiency is not a prerequisite, but basic knowledge of mathematics will help you to get the most out of this Python math book. Familiarity with the concepts of data structures in Python is assumed.

Das UEbungsbuch stellt eine ausgesuchte Sammlung von Problemstellungen und Loesungen bereit, die durch eine Formelsammlung mit den wichtigsten im Buch verwendeten Formeln abgerundet wird. Zusatzlich wird ein umfangreiches Set von Programmen in R zur Verfugung gestellt, die zur Aufgabenstellung und Loesung geschrieben wurden. Der Anhang des Buches beinhaltet daher auch eine kurze Einfuhrung in die Statistik-Software R. Der Inhalt, Organisation inklusive Kapitelaufteilung orientiert sich an dem bei Springer erschienenem Werk "Statistik fur Bachelor- und Masterstudenten: Eine Einfuhrung fur Wirtschafts- und Sozialwissenschaftler"

"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.
No programming experience necessary to learn MATLABExamples with screenshots and plentiful exercises throughout help make MATLAB easy to understandProjects enable readers to write long MATLAB programs, and take the first step toward being a professional MATLAB programmer

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.