Showing 1–24 of 128 results
THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN’S AUTOMATH N. G. de Bruijn was a well established mathematician before deciding in 1967 at the age of 49 to work on a new direction related to Automating Mathematics. By then, his contributions in mathematics were numerous and extremely influential. His book on advanced asymptotic methods, North Holland 1958, was a classic and was subsequently turned into a book in the well known Dover book series. His work on combinatorics yielded influential notions and theorems of which we mention the de Bruijn-sequences of 1946 and the de Bruijn-Erdos theorem of 1948.
This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems.
Authors: Loday-Richaud, MichèleProvides a thorough discussion and comparison of the theories of k-summability and multisummabilityCan be treated both as a reference book and as a tutorial on the theories of summability and their links to the formal and local analytic aspects of linear ordinary differential equationsIncludes a discussion of the linear Stokes phenomenonThe theories are illustrated with many examples and over 70 color figuresAddressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability.
Authors: Delabaere, EricFeatures a thorough resurgent analysis of the celebrated non-linear differential equation Painlevé IIncludes new specialized results in the theory of resurgenceFor the first time, higher order Stokes phenomena of Painlevé I are made explicit by means of the so-called bridge equationThe aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed.
Authors: Choe, Geon HoPresents the mathematical methods required for pricing financial derivativesEncourages hands-on experience and builds intuition by explaining theoretical concepts with computer simulationsCovers mathematical prerequisites, including measure theory, ordinary differential equations, and partial differential equationsThis book is an introduction to stochastic analysis and quantitative finance; it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models.
This remarkable book – by turns moving, funny, and revelatory – records the relationship that developed between the women over the next twenty years. An empathic listener and participant in DeVries’ life, and a scholar of the feminist and disability rights movements, Frank argues that Diane DeVries is a perfect example of an American woman coming of age in the second half of the twentieth century.
Though ordinary differential equations is taught as a core course to students in mathematics and applied mathematics, detailed coverage of the topics with sufficient examples is unique.Written by a mathematics professor and intended as a textbook for third- and fourth-year undergraduates, the five chapters of this publication give a precise account of higher order differential equations, power series solutions, special functions, existence and uniqueness of solutions, and systems of linear equations.R
This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and other sciences.The many and various topics covered include: the algebra of vectors — linear dependence and independence, transformation equations, the inner product, the cross product, and the algebra of matrixes; the differentiation of vectors — geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation of vectors — geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation and associated concepts — surface representations, bases in general coordinate systems, and maxima and minima of functions of two variables; the integration of vectors — line integrals, surface integrals, surface tensors and volume integrals; tensor algebra and analysis — fundamental notions of n-space, transformations and tensors, Riemannian geometry, tensor processes of differentiation, geodesics, the curvature tensor and its algebraic properties, and general relativity theory.T
by Organisation for Economic Co-operation and Development , Language: English
Every person aspires to a good life. But what does “a good or a better life” mean? The third edition of How’s Life? provides an update on the most important aspects that shape people’s lives and well-being: income, jobs, housing, health, work-life balance, education, social connections, civic engagement and governance, environment, personal security, and subjective well-being. It paints a comprehensive picture of well-being in OECD countries and other major economies by looking at people’s material living conditions and quality of life across the population.
Diffusive motion–displacement due to the cumulative effect of irregular fluctuations–has been a fundamental concept in mathematics and physics since Einstein’s work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. It shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis.
Editors: Fuster, A., Ghosh, A., Kaden, E., Rathi, Y., Reisert, M. (Eds.)These Proceedings of the 2015 MICCAI Workshop “Computational Diffusion MRI” offer a snapshot of the current state of the art on a broad range of topics within the highly active and growing field of diffusion MRI. The topics vary from fundamental theoretical work on mathematical modeling, to the development and evaluation of robust algorithms, new computational methods applied to diffusion magnetic resonance imaging data, and applications in neuroscientific studies and clinical practice.O
Statistik von Null auf Hundert nähert sich der Statistik über Kochrezepte und einfache Beispiele. Der Leser erhält schnell die erforderliche Kompetenzen, um selber Statistiken anfertigen, auch große Zahlenmengen anschaulich zu visualisieren und wesentliche statistische Kennwerte ermitteln zu können. Das schließt die „Statistiklesefähigkeit“ mit ein: Statistische Angaben in Zeitschriften und Büchern werden transparent, auch Manipulationen mit Statistik werden erkannt. Berechnungen und Lösungen von Kombinatorikfragestellungen werden einfach erklärt.
A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement.
Authors: Bouchard, Bruno, Chassagneux, Jean-FrançoisPresents the various mathematical techniques used in mathematical finance in a single volumeTreats both theoretical aspects and practical applicationsIncludes a chapter on stochastic targets and risk-based pricing techniquesThis book covers the theory of derivatives pricing and hedging as well as techniques used in mathematical finance. The authors use a top-down approach, starting with fundamentals before moving to applications, and present theoretical developments alongside various exercises, providing many examples of practical interest.A
Missing data affect nearly every discipline by complicating the statistical analysis of collected data. But since the 1990s, there have been important developments in the statistical methodology for handling missing data. Written by renowned statisticians in this area, Handbook of Missing Data Methodology presents many methodological advances and the latest applications of missing data methods in empirical research.Divided into six parts, the handbook begins by establishing notation and terminology.
A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance.The first part of the book presents systems of linear ODEs.
With the rise of Six Sigma, the use of statistics to analyze and improve processes has once again regained a prominent place in businesses around the world. An increasing number of employees and managers, bestowed with the titles Green Belt, Black Belt, or even Master Black Belts, are asked to apply statistical techniques to analyze and resolve industrial and non-industrial (also known as transactional) problems. These individuals are continuously faced with the daunting task of sorting out the vast array of sophisticated techniques placed at their disposal by an equally impressive array of statistical computer software packages.
How to make simple sense of complex statistics–from the author of Numbers Rule Your World
We live in a world of Big Data–and it’s getting biggerevery day. Virtually every choice we make hinges on how someone generates data . . . and how someone else interprets it–whether we realize it or not.
Where do you send your child for the best education?Big Data. Which airline should you choose to ensure a timely arrival? Big Data. Who will you vote for in the next election? Big Data.
The problem is, the more data we have, the more difficult it is to interpret it.
Regression Models for Categorical Dependent Variables Using Stata, Third Edition shows how to use Stata to fit and interpret regression models for categorical data. The third edition is a complete rewrite of the book. Factor variables and the margins command changed how the effects of variables can be estimated and interpreted. In addition, the authors’ views on interpretation have evolved. The changes to Stata and to the authors’ views inspired the authors to completely rewrite their popular SPost commands to take advantage of the power of the margins command and the flexibility of factor-variable notation.
A culmination of the author’s many years of consulting and teaching, Design and Analysis of Experiments with SAS provides practical guidance on the computer analysis of experimental data. It connects the objectives of research to the type of experimental design required, describes the actual process of creating the design and collecting the data, shows how to perform the proper analysis of the data, and illustrates the interpretation of results.
Drawing on a variety of application areas, from pharmaceuticals to machinery, the book presents numerous examples of experiments and exercises that enable students to perform their own experiments.
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable.
An up-to-date version of the complete, self-contained introduction to matrix analysis theory and practiceProviding accessible and in-depth coverage of the most common matrix methods now used in statistical applications, Matrix Analysis for Statistics, Third Edition features an easy-to-follow theorem/proof format. Featuring smooth transitions between topical coverage, the author carefully justifies the step-by-step process of the most common matrix methods now used in statistical applications, including eigenvalues and eigenvectors; the Moore-Penrose inverse; matrix differentiation; and the distribution of quadratic forms.A
Age-Period-Cohort Analysis: New Models, Methods, and Empirical Applications is based on a decade of the authors’ collaborative work in age-period-cohort (APC) analysis. Within a single, consistent HAPC-GLMM statistical modeling framework, the authors synthesize APC models and methods for three research designs: age-by-time period tables of population rates or proportions, repeated cross-section sample surveys, and accelerated longitudinal panel studies. The authors show how the empirical application of the models to various problems leads to many fascinating findings on how outcome variables develop along the age, period, and cohort dimensions.T
Showing 1–24 of 128 results