An Introduction to Fourier Series and Integrals

An Introduction to Fourier Series and Integrals

Author: Robert T. Seeley

Publisher: Courier Corporation

Published: 2014-02-20

Total Pages: 116

ISBN-13: 0486151794

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A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.


Stem Cells: A Very Short Introduction

Stem Cells: A Very Short Introduction

Author: Jonathan Slack

Publisher: Oxford University Press

Published: 2021-09-23

Total Pages: 160

ISBN-13: 0192640399

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The topic of stem cells has a high profile in the media. We've made important advances in our scientific understanding, but despite this the clinical applications of stem cells are still in their infancy and most real stem cell therapy carried out today is some form of bone marrow transplantation. At the same time, a scandalous spread of unproven stem cell treatments by private clinics represents a serious problem, with treatments being offered which are backed by limited scientific rationale, and which are at best ineffective, and at worse harmful. This Very Short Introduction introduces stem cells, exploring what they are, and what scientists do with them. Introducing the different types of stem cells, Jonathan Slack explains how they can be used to treat diseases such as retinal degeneration, diabetes, Parkinson's disease, heart disease, and spinal trauma. He also discusses the important technique of bone marrow transplantation and some other types of current stem cell therapy, used for the treatment of blindness and of severe burns. Slack warns against fake stem cell treatments and discusses how to distinguish real from fake treatments. He also describes the latest scientific progress in the field, and looks forward to what we can expect to happen in the next few years Very Short Introductions: Brilliant, Sharp, Inspiring ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


Introduction to Industrial Engineering

Introduction to Industrial Engineering

Author: Avraham Shtub

Publisher: CRC Press

Published: 2015-12-22

Total Pages: 424

ISBN-13: 1498706029

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A Firsthand Look at the Role of the Industrial Engineer The industrial engineer helps decide how best to utilize an organization’s resources to achieve company goals and objectives. Introduction to Industrial Engineering, Second Edition offers an in-depth analysis of the industrial engineering profession. While also providing a historical perspective chronicling the development of the profession, this book describes the standard duties performed, the tools and terminologies used, and the required methods and processes needed to complete the tasks at hand. It also defines the industrial engineer’s main areas of operation, introduces the topic of information systems, and discusses their importance in the work of the industrial engineer. The authors explain the information system concept, and the need for integrated processes, supported by modern information systems. They also discuss classical organizational structures (functional organization, project organization, and matrix organization), along with the advantages and disadvantages of their use. The book includes the technological aspects (data collection technologies, databases, and decision-support areas of information systems), the logical aspects (forecasting models and their use), and aspects of principles taken from psychology, sociology, and ergonomics that are commonly used in the industry. What’s New in this Edition: The second edition introduces fields that are now becoming a part of the industrial engineering profession, alongside conventional areas (operations management, project management, quality management, work measurement, and operations research). In addition, the book: Provides an understanding of current pathways for professional development Helps students decide which area to specialize in during the advanced stages of their studies Exposes students to ergonomics used in the context of workspace design Presents key factors in human resource management Describes frequently used methods of teaching in the field Covers basic issues relative to ergonomics and human–machine interface Introduces the five basic processes that exist in many organizations Introduction to Industrial Engineering, Second Edition establishes industrial engineering as the organization of people and resources, describes the development and nature of the profession, and is easily accessible to anyone needing to learn the basics of industrial engineering. The book is an indispensable resource for students and industry professionals.


Galileo: A Very Short Introduction

Galileo: A Very Short Introduction

Author: Stillman Drake

Publisher: OUP Oxford

Published: 2001-02-22

Total Pages: 161

ISBN-13: 0191606669

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In a startling reinterpretation of the evidence, Stillman Drake advances the hypothesis that Galileo's trial and condemnation by the Inquisition was caused not by his defiance of the Church, but by the hostility of contemporary philosophers. Galileo's own beautifully lucid arguments are used to show how his scientific method was utterly divorced from the Aristotelian approach to physics in that it was based on a search not for causes but for laws. Galileo's method was of overwhelming significance for the development of modern physics, and led to a final parting of the ways between science and philosophy. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


An Introduction to Discrete-Valued Time Series

An Introduction to Discrete-Valued Time Series

Author: Christian H. Weiss

Publisher: John Wiley & Sons

Published: 2018-02-05

Total Pages: 300

ISBN-13: 1119096960

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A much-needed introduction to the field of discrete-valued time series, with a focus on count-data time series Time series analysis is an essential tool in a wide array of fields, including business, economics, computer science, epidemiology, finance, manufacturing and meteorology, to name just a few. Despite growing interest in discrete-valued time series—especially those arising from counting specific objects or events at specified times—most books on time series give short shrift to that increasingly important subject area. This book seeks to rectify that state of affairs by providing a much needed introduction to discrete-valued time series, with particular focus on count-data time series. The main focus of this book is on modeling. Throughout numerous examples are provided illustrating models currently used in discrete-valued time series applications. Statistical process control, including various control charts (such as cumulative sum control charts), and performance evaluation are treated at length. Classic approaches like ARMA models and the Box-Jenkins program are also featured with the basics of these approaches summarized in an Appendix. In addition, data examples, with all relevant R code, are available on a companion website. Provides a balanced presentation of theory and practice, exploring both categorical and integer-valued series Covers common models for time series of counts as well as for categorical time series, and works out their most important stochastic properties Addresses statistical approaches for analyzing discrete-valued time series and illustrates their implementation with numerous data examples Covers classical approaches such as ARMA models, Box-Jenkins program and how to generate functions Includes dataset examples with all necessary R code provided on a companion website An Introduction to Discrete-Valued Time Series is a valuable working resource for researchers and practitioners in a broad range of fields, including statistics, data science, machine learning, and engineering. It will also be of interest to postgraduate students in statistics, mathematics and economics.


Teeth: A Very Short Introduction

Teeth: A Very Short Introduction

Author: Peter S. Ungar

Publisher: Oxford University Press

Published: 2014-03

Total Pages: 153

ISBN-13: 0199670595

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Teeth are a vital component of vertebrate anatomy and a fundamental part of the fossil record. It was the evolution of teeth, associated with predation, that drove the evolution of the wide array of fish, amphibians, reptiles, and then mammals. Peter S. Ungar looks at how, without teeth, none of these developments could have occurred.


Sequences and Series

Sequences and Series

Author: Ileana Toma

Publisher: Createspace Independent Publishing Platform

Published: 2018-04-21

Total Pages: 172

ISBN-13: 9781986524063

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This book is addressed to all those who, after finishing the high school, wish a practical initiation in the domain of sequences and series. This is the first volume of the series "Mathematics for future engineers." To provide useful tools for (future) engineers and for specialists, in general, we put into evidence some practical applications of sequences and series (e.g., how to apply Lagrange's and Taylor's formulas to the calculus of approximations, the catenary expressed in terms of hyperbolic functions, etc.). We tried to make the involved mathematics as attractive as possible, by simplifying the presentation without loosing the mathematical rigor of the results. To increase accessibility and to encourage the reader to get a technical know-how about sequences and series, we provided for each newly introduced notion a series of applications and solved problems; each chapter ends by a section containing exercises and problems, each one of these being accompanied by hints and answers. The references contain, along with books, some links with sites which can be helpful for the reader.


Introduction to Time Series Using Stata

Introduction to Time Series Using Stata

Author: Sean Becketti

Publisher:

Published: 2020-03-02

Total Pages: 446

ISBN-13: 9781597183062

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Introduction to Time Series Using Stata, Revised Edition, by Sean Becketti, is a practical guide to working with time-series data using Stata. In this book, Becketti introduces time-series techniques--from simple to complex--and explains how to implement them using Stata. The many worked examples, concise explanations that focus on intuition, and useful tips based on the author's experience make the book insightful for students, academic researchers, and practitioners in industry and government.Becketti is a financial industry veteran with decades of experience in academics, government, and private industry. He was also a developer of Stata in its infancy and has been a regular Stata user since its inception. He wrote many of the first time-series commands in Stata. With his abundant knowledge of Stata and extensive experience with real-world time-series applications, Becketti provides readers with unique insights and motivation throughout the book.For those new to Stata, the book begins with a mild yet fast-paced introduction to Stata, highlighting all the features you need to know to get started using Stata for time-series analysis. Before diving into analysis of time series, Becketti includes a quick refresher on statistical foundations such as regression and hypothesis testing.The discussion of time-series analysis begins with techniques for smoothing time series. As the moving-average and Holt-Winters techniques are introduced, Becketti explains the concepts of trends, cyclicality, and seasonality and shows how they can be extracted from a series. The book then illustrates how to use these methods for forecasting. Although these techniques are sometimes neglected in other time-series books, they are easy to implement, can be applied quickly, often produce forecasts just as good as more complicated techniques, and, as Becketti emphasizes, have the distinct advantage of being easily explained to colleagues and policy makers without backgrounds in statistics.Next, the book focuses on single-equation time-series models. Becketti discusses regression analysis in the presence of autocorrelated disturbances as well as the ARIMA model and Box-Jenkins methodology. An entire chapter is devoted to applying these techniques to develop an ARIMA-based model of U.S. GDP; this will appeal to practitioners, in particular, because it goes step by step through a real-world example: here is my series, now how do I fit an ARIMA model to it? The discussion of single-equation models concludes with a self-contained summary of ARCH/GARCH modeling.In the final portion of the book, Becketti discusses multiple-equation models. He introduces VAR models and uses a simple model of the U.S. economy to illustrate all key concepts, including model specification, Granger causality, impulse-response analyses, and forecasting. Attention then turns to nonstationary time-series. Becketti masterfully navigates the reader through the often-confusing task of specifying a VEC model, using an example based on construction wages in Washington, DC, and surrounding states.Introduction to Time Series Using Stata, Revised Edition, by Sean Becketti, is a first-rate, example-based guide to time-series analysis and forecasting using Stata. This is a must-have resource for researchers and students learning to analyze time-series data and for anyone wanting to implement time-series methods in Stata. [ed.]