Mathematics

Barry Schouten, Andy Peytchev, “Adaptive Survey Design”

Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations by S. Chakraverty, Susmita Mall

Allan G. Bluman, “Pre-Algebra DeMYSTiFieD (2nd Edition)”

Harmonies of Disorder: Norbert Wiener: A Mathematician-Philosopher of Our Time By Ph.D. Leone Montagnini

Barry Schouten, Andy Peytchev, “Adaptive Survey Design”

2017 | 248 pages | PDF | 14 MB

Adaptive survey designs (ASDs) provide a framework for data-driven tailoring of data collection procedures to different sample members, often for cost and bias reduction. People vary in how likely they are to respond and in how they respond. This variation leads to opportunities to selectively deploy design features in order to control both nonresponse and measurement errors. ASD aims at the optimal matching of design features and the characteristics of respondents given the survey budget. Such a goal is sensible, but ASD requires investment in more advanced technical systems and management infrastructure and asks for the collection of relevant auxiliary data. So what are current best practices in ASD? And is ASD worthwhile when the same auxiliary data are employed in the estimation afterwards? In this book, the authors provide answers to these questions, and much more.

Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations by S. Chakraverty, Susmita Mall

2017 | English | 168 pages | PDF | 9 MB

Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed to handle them. Machine intelligence methods, such as Artificial Neural Networks (ANN), are being used to solve differential equations, and these methods are presented in Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations. This book shows how computation of differential equation becomes faster once the ANN model is properly developed and applied.

Tools for Computational Finance, Sixth Edition By Prof. Dr. Rüdiger U. Seydel

English | PDF | 2017 | 498 Pages | 11.42 MB

Computational and numerical methods are used in a number of ways across the field of finance. It is the aim of this book to explain how such methods work in financial engineering. By concentrating on the field of option pricing, a core task of financial engineering and risk analysis, this book explores a wide range of computational tools in a coherent and focused manner and will be of use to anyone working in computational finance.

Starting with an introductory chapter that presents the financial and stochastic background, the book goes on to detail computational methods using both stochastic and deterministic approaches.

Now in its sixth edition, Tools for Computational Finance has been significantly revised and contains:

Several new parts such as a section on extended applications of tree methods, including multidimensional trees, trinomial trees, and the handling of dividends;

Additional material in the field of generating normal variates with acceptance-rejection methods, and on Monte Carlo methods;

115 exercises, and more than 100 figures, many in color.

Written from the perspective of an applied mathematician, all methods are introduced for immediate and straightforward application. A ‘learning by calculating’ approach is adopted throughout this book, enabling readers to explore several areas of the financial world.

Interdisciplinary in nature, this book will appeal to advanced undergraduate and graduate students in mathematics, engineering, and other scientific disciplines as well as professionals in financial engineering.

Allan G. Bluman, “Pre-Algebra DeMYSTiFieD (2nd Edition)”

2010 | EPUB | 123 pages | 6.84 MB

Preempt your anxiety about PRE-ALGEBRA! Ready to learn math fundamentals but can’t seem to get your brain to function? No problem! Add Pre-Algebra Demystified, Second Edition, to the equation and you’ll solve your dilemma in no time. Written in a step-by-step format, this practical guide begins by covering whole numbers, integers, fractions, decimals, and percents. You’ll move on to expressions, equations, measurement, and graphing. Operations with monomials and polynomials are also discussed. Detailed examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It’s a no-brainer! You’ll learn:

Addition, subtraction, multiplication, and division of whole numbers, integers, fractions, decimals, and algebraic expressions

Techniques for solving equations and problems

Measures of length, weight, capacity, and time

Methods for plotting points and graphing lines

Simple enough for a beginner, but challenging enough for an advanced student, Pre-Algebra Demystified, Second Edition, helps you master this essential mathematics subject. It’s also the perfect way to review the topic if all you need is a quick refresh.

Harmonies of Disorder: Norbert Wiener: A Mathematician-Philosopher of Our Time By Ph.D. Leone Montagnini

English | PDF | 2017 | 319 Pages | 3.24 MB

This book presents the entire body of thought of Norbert Wiener (1894–1964), knowledge of which is essential if one wishes to understand and correctly interpret the age in which we live. The focus is in particular on the philosophical and sociological aspects of Wiener’s thought, but these aspects are carefully framed within the context of his scientific journey.

Important biographical events, including some that were previously unknown, are also highlighted, but while the book has a biographical structure, it is not only a biography. The book is divided into four chronological sections, the first two of which explore Wiener’s development as a philosopher and logician and his brilliant interwar career as a mathematician, supported by his philosophical background. The third section considers his research during World War II, which drew upon his previous scientific work and reflections and led to the birth of cybernetics. Finally, the radical post-war shift in Wiener’s intellectual path is considered, examining how he came to abandon computer science projects and commenced ceaseless public reflections on the new sciences and technologies of information, their social effects, and the need for responsibility in science.