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Essentials of Mathematical Methods in Science and Engineering
by S. Selçuk BayinA complete introduction to the multidisciplinary applications of mathematical methodsIn order to work with varying levels of engineering and physics research, it is important to have a firm understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical physics. Essentials of Mathematical Methods in Science and Engineering provides a comprehensive introduction to these methods under one cover, outlining basic mathematical skills while also encouraging students and practitioners to develop new, interdisciplinary approaches to their research.The book begins with core topics from various branches of mathematics such as limits, integrals, and inverse functions. Subsequent chapters delve into the analytical tools that are commonly used in scientific and engineering studies, including vector analysis, generalized coordinates, determinants and matrices, linear algebra, complex numbers, complex analysis, and Fourier series. The author provides an extensive chapter on probability theory with applications to statistical mechanics and thermodynamics that complements the following chapter on information theory, which contains coverage of Shannon's theory, decision theory, game theory, and quantum information theory. A comprehensive list of references facilitates further exploration of these topics.Throughout the book, numerous examples and exercises reinforce the presented concepts and techniques. In addition, the book is in a modular format, so each chapter covers its subject thoroughly and can be read independently. This structure affords flexibility for individualizing courses and teaching.Providing a solid foundation and overview of the various mathematical methods and applications in multidisciplinary research, Essentials of Mathematical Methods in Science and Engineering is an excellent text for courses in physics, science, mathematics, and engineering at the upper-undergraduate and graduate levels. It also serves as a useful reference for scientists and engineers who would like a practical review of mathematical methods.
Essentials of Mathematical Methods in Science and Engineering
by Selcuk S. BayinA comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book’s approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: • Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book • Puts the emphasis on the analytic techniques • Contains two new chapters that explore linear algebra and its applications • Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.
Essentials of Mathematical Thinking (Textbooks in Mathematics)
by Steven G. KrantzEssentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical studies. <P><P>The author has written this book in an enticing, rich manner that will engage students and introduce new paradigms of thought. Careful readers will develop critical thinking skills which will help them compete in today’s world. <P><P>The book explains: <li>What goes behind a Google search algorithm <li>How to calculate the odds in a lottery <li>The value of Big Data <li>How the nefarious Ponzi scheme operates <P><P>Instructors will treasure the book for its ability to make the field of mathematics more accessible and alluring with relevant topics and helpful graphics. The author also encourages readers to see the beauty of mathematics and how it relates to their lives in meaningful ways.
Essentials of Measure Theory
by Carlos S. KubruslyClassical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a one-semester beginning graduate course in measure theory, proposing an "abstract" approach to measure and integration, where the classical concrete cases of Lebesgue measure and Lebesgue integral are presented as an important particular case of general theory. Part II of the text is more advanced and is addressed to a more experienced reader. The material is designed to cover another one-semester graduate course subsequent to a first course, dealing with measure and integration in topological spaces. The final section of each chapter in Part I presents problems that are integral to each chapter, the majority of which consist of auxiliary results, extensions of the theory, examples, and counterexamples. Problems which are highly theoretical have accompanying hints. The last section of each chapter of Part II consists of Additional Propositions containing auxiliary and complementary results. The entire book contains collections of suggested readings at the end of each chapter in order to highlight alternate approaches, proofs, and routes toward additional results. With modest prerequisites, this text is intended to meet the needs of a contemporary course in measure theory for mathematics students and is also accessible to a wider student audience, namely those in statistics, economics, engineering, and physics. Part I may be also accessible to advanced undergraduates who fulfill the prerequisites which include an introductory course in analysis, linear algebra (Chapter 5 only), and elementary set theory.
Essentials of Modern Business Statistics with Microsoft Office Excel® 6th edition
by David R. Anderson Dennis J. Sweeney Thomas A. WilliamsFrom the renowned author team that has been writing market-leading business statistics textbooks for more than 20 years, ESSENTIALS OF MODERN BUSINESS STATISTICS, 6TH EDITION provides a brief introduction to business statistics. The text balances a conceptual understanding of statistics with the real-world application of statistical methodology using problem-scenarios and real-life examples. Step-by-step instructions and screen captures demonstrate how to most effectively use the latest version of Excel in statistical procedures, while numerous exercises give readers hands-on experience putting what they learn into practice. The Sixth Edition is packed with all-new Case Problems, Statistics in Practice applications, and real data examples and exercises.
Essentials of Monte Carlo Simulation
by Nick T. ThomopoulosEssentials of Monte Carlo Simulation focuses on the fundamentals of Monte Carlo methods using basic computer simulation techniques. The theories presented in this text deal with systems that are too complex to solve analytically. As a result, readers are given a system of interest and constructs using computer code, as well as algorithmic models to emulate how the system works internally. After the models are run several times, in a random sample way, the data for each output variable(s) of interest is analyzed by ordinary statistical methods. This book features 11 comprehensive chapters, and discusses such key topics as random number generators, multivariate random variates, and continuous random variates. Over 100 numerical examples are presented as part of the appendix to illustrate useful real world applications. The text also contains an easy to read presentation with minimal use of difficult mathematical concepts. Very little has been published in the area of computer Monte Carlo simulation methods, and this book will appeal to students and researchers in the fields of Mathematics and Statistics.
Essentials of Multivariate Data Analysis
by Neil H. SpencerSince most datasets contain a number of variables, multivariate methods are helpful in answering a variety of research questions. Accessible to students and researchers without a substantial background in statistics or mathematics, Essentials of Multivariate Data Analysis explains the usefulness of multivariate methods in applied research. Unlike m
Essentials of Partial Differential Equations: With Applications
by Andreas Öchsner Marin MarinThis book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.
Essentials of Precalculus with Calculus Previews
by Dennis G. Zill Jacqueline M. DewarPerfect for the one-term course, Essentials of Precalculus with Calculus Previews, Fifth Edition provides a complete, yet concise, introduction to precalculus concepts, focusing on important topics that will be of direct and immediate use in most calculus courses.
Essentials of Precalculus with Calculus Previews
by Dennis G. Zill Jacqueline M. DewarEssentials of Precalculus with Calculus Previews, Sixth Edition, is an ideal undergraduate text to help students successfully transition into a future course in calculus. The Sixth Edition of this best-selling text presents the fundamental mathematics used in a typical calculus sequence in a focused and readable format. Dennis G. Zill’s concise, yet eloquent, writing style allows instructors to cover the entire text in one semester. Essentials of Precalculus with Calculus Previews, Sixth Edition uses a vibrant full-color design to illuminate key concepts and improves students' comprehension of graphs and figures. This text also includes a valuable collection of student and instructor resources, making it a complete teaching and learning package.
Essentials of Probability Theory for Statisticians (Chapman & Hall/CRC Texts in Statistical Science)
by Michael A. Proschan Pamela A. Shaw<p>Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. <p>After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. <p>This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.</p>
Essentials of Research Design and Methodology
by Marczyk Geoffrey R. David Dematteo David FestingerMaster the essential skills for designing and conducting a successful research project Essentials of Research Design and Methodology contains practical information on how to design and conduct scientific research in the behavioral and social sciences. This accessible guide covers basic to advanced concepts in a clear, concrete, and readable style. The text offers students and practitioners in the behavioral sciences and related disciplines important insights into identifying research topics, variables, and methodological approaches. Data collection and assessment strategies, interpretation methods, and important ethical considerations also receive significant coverage in this user-friendly guide. Essentials of Research Design and Methodology is the only available resource to condense the wide-ranging topics of the field into a concise, accessible format for handy and quick reference. As part of the Essentials of Behavioral Science series, this book offers a thorough review of the most relevant topics in research design and methodology. Each concise chapter features numerous callout boxes highlighting key concepts, bulleted points, and extensive illustrative material, as well as "Test Yourself" questions that help you gauge and reinforce your grasp of the information covered.
Essentials of Risk Theory
by Martin Peterson Sabine Roeser Per Sandin Rafaela HillerbrandRisk has become one of the main topics in fields as diverse as engineering, medicine and economics, and it is also studied by social scientists, psychologists and legal scholars. This Springer Essentials version offers an overview of the in-depth handbook and highlights some of the main points covered in the Handbook of Risk Theory. The topic of risk also leads to more fundamental questions such as: What is risk? What can decision theory contribute to the analysis of risk? What does the human perception of risk mean for society? How should we judge whether a risk is morally acceptable or not? Over the last couple of decades questions like these have attracted interest from philosophers and other scholars into risk theory. This brief offers the essentials of the handbook provides for an overview into key topics in a major new field of research and addresses a wide range of topics, ranging from decision theory, risk perception to ethics and social implications of risk. It aims to promote communication and information among all those who are interested in theoretical issues concerning risk and uncertainty. The Essentials of Risk Theory brings together internationally leading philosophers and scholars from other disciplines who work on risk theory. The contributions are accessibly written and highly relevant to issues that are studied by risk scholars. The Essentials of Risk Theory will be a helpful starting point for all risk scholars who are interested in broadening and deepening their current perspectives.
Essentials of Social Statistics for a Diverse Society
by Anna Y. Leon-Guerrero Chava Frankfort-NachmiasEssentials of Social Statistics for a Diverse Society is a briefer version of the successful Social Statistics for a Diverse Society now in its 6th edition. As in the parent text, the context of diversity, illustrated through the use of real data in examples from contemporary social issues, will continue to differentiate this briefer statistics text. Better illustrated with more interesting examples and exercises with aá focus on student learning, will set this book apart from its competitors. Features and Benefits: - The book's informal writing style -- coupled with the use of real-world examples makes the book more accessible and engaging for students. - A focus on race, class, gender and other aspects of social diversity sets the book apart from others in the field and mirrors the major emphasis in the social sciences today. - Reading the Research Literature sections in most chapters help students read and interpret statistical information in professional and scholarly publications. - Learning Checks within chapters engage students in reviewing key concepts and techniques. - Statistics in Practice extended examples show students applications to meaningful social issues. - Heavily illustrated with many charts, tables and graphs - Extensive end of chapter exercise sets.
Essentials of Social Statistics for a Diverse Society
by Dr Anna Leon-Guerrero Dr Chava Frankfort-NachmiasEssentials of Social Statistics for a Diverse Society, Second Edition provides students with a briefer, less expensive version of the successful Social Statistics for a Diverse Society, now in its Seventh Edition. As in the parent text, this concise statistics text puts a strong emphasis on the theme of diversity, which is illustrated through the use of real data in examples from contemporary social issues. The book’s informational and inviting writing style, coupled with the use of real-world examples and data applications, makes the book a more accessible and engaging resource for students.
Essentials of Social Statistics for a Diverse Society
by Dr Anna Leon-Guerrero Dr Chava Frankfort-NachmiasEssentials of Social Statistics for a Diverse Society, Third Edition, is a more streamlined, less expensive version of the successful Social Statistics for a Diverse Society. It is distinct for the use of real data from contemporary social issues and for a strong emphasis on race, class, gender, and other statuses. With a wide range of examples and exercises taken from current events and published research, frequent illustrations, and a focus on student learning, this book continues to be an accessible and engaging resource for students.
Essentials of Social Statistics for a Diverse Society
by Dr Anna Leon-Guerrero Dr Chava Frankfort-NachmiasEssentials of Social Statistics for a Diverse Society, Third Edition, is a more streamlined, less expensive version of the successful Social Statistics for a Diverse Society. It is distinct for the use of real data from contemporary social issues and for a strong emphasis on race, class, gender, and other statuses. With a wide range of examples and exercises taken from current events and published research, frequent illustrations, and a focus on student learning, this book continues to be an accessible and engaging resource for students.
Essentials of Social Statistics for a Diverse Society
by Georgiann Davis Dr. Chava Frankfort-Nachmias Dr. Anna Y. Leon-GuerreroEssentials of Social Statistics for a Diverse Society, by Anna Leon-Guerrero, Chava Frankfort-Nachmias, and Georgiann Davis, is a briefer version of the successful Social Statistics for a Diverse Society, and as in the parent text, the use of real data about contemporary social issues sets this book apart from others in the field. The text explains how to compute and interpret basic descriptive and inferential statistics while teaching and reinforcing important sociological concepts. In every chapter, the authors demonstrate how statistics is an important tool for studying and understanding the role of race, class, gender, and other statuses in a pluralistic society like the United States.
Essentials of Social Statistics for a Diverse Society
by Georgiann Davis Dr. Chava Frankfort-Nachmias Dr. Anna Y. Leon-GuerreroEssentials of Social Statistics for a Diverse Society, by Anna Leon-Guerrero, Chava Frankfort-Nachmias, and Georgiann Davis, is a briefer version of the successful Social Statistics for a Diverse Society, and as in the parent text, the use of real data about contemporary social issues sets this book apart from others in the field. The text explains how to compute and interpret basic descriptive and inferential statistics while teaching and reinforcing important sociological concepts. In every chapter, the authors demonstrate how statistics is an important tool for studying and understanding the role of race, class, gender, and other statuses in a pluralistic society like the United States.
Essentials of Statistics for Business and Economics
by David Anderson Thomas Williams Dennis Sweeney Michael Fry Jeffrey Camm James Cochran Jeffrey OhlmannDiscover how statistical information impacts decisions in today's business world as Anderson/Sweeney/Williams/Camm/Cochran/Fry/Ohlmann's leading ESSENTIALS OF STATISTICS FOR BUSINESS AND ECONOMICS, 9E connects concepts in each chapter to real-world practice. This edition delivers sound statistical methodology, a proven problem-scenario approach and meaningful applications that reflect the latest developments in business and statistics today. More than 350 new and proven real business examples, a wealth of practical cases and meaningful hands-on exercises highlight statistics in action. You gain practice using leading professional statistical software with exercises and appendices that walk you through using JMP Student Edition 14 and Excel 2016. WebAssign's online course management systems is available separately to further strengthen this business statistics approach and helps you maximize your course success.
Essentials of Statistics for Criminology and Criminal Justice: Paternoster: Essentials Of Statistics For Criminology And Criminal Justice + Spss 23. 0
by Raymond Paternoster Ronet D. BachmanEssentials of Statistics for Criminology and Criminal Justice helps students understand the vital role that research and statistics play in the study of criminology and criminal justice by showing them how to conduct and interpret statistics in real-world settings with a step-by-step approach to solving problems. This practical, applied approach offers students the fundamentals of descriptive and inferential statistics in a concise and easy-to-understand format—avoiding complicated proofs and discussions of statistical theory. The examples and case studies provide relevant examples for criminology and criminal justice students, and deal with contemporary issues related to crime, corrections, police, and the judicial system. Students will not only learn about the "how to" in statistics, but they will also recognize its importance in today’s criminal justice system.
Essentials of Statistics for Criminology and Criminal Justice: Paternoster: Essentials Of Statistics For Criminology And Criminal Justice + Spss 23. 0
by Raymond Paternoster Ronet D. BachmanEssentials of Statistics for Criminology and Criminal Justice helps students understand the vital role that research and statistics play in the study of criminology and criminal justice by showing them how to conduct and interpret statistics in real-world settings with a step-by-step approach to solving problems. This practical, applied approach offers students the fundamentals of descriptive and inferential statistics in a concise and easy-to-understand format—avoiding complicated proofs and discussions of statistical theory. The examples and case studies provide relevant examples for criminology and criminal justice students, and deal with contemporary issues related to crime, corrections, police, and the judicial system. Students will not only learn about the "how to" in statistics, but they will also recognize its importance in today’s criminal justice system.
Essentials of Statistics for the Behavioral Sciences
by Susan A. Nolan Thomas E. HeinzenWith captivating storytelling, real-world examples, image-and graphic-rich design, accessible mathematics, and step-by-step worked examples, Nolan and Heinzen introduce students to the why and how of statistical practice in the behavioral sciences, while helping them break through common barriers to success in the course. This new edition of their briefer textbook offers fresh exercises throughout, stronger reinforcement of the material's relevance and mathematical requirements, more help with creating visual displays, and a dramatic expansion of its integrated online tools and activities in LaunchPad.
Essentials of Statistics for the Behavioral Sciences
by Susan A. Nolan Thomas E. HeinzenNolan and Heinzen offer an introduction to the basics of statistics that is uniquely suited for behavioral science students, with coverage anchor to real-world stories, a highly visual approach, helpful mathematical support, and step-by-step examples. The new edition focuses on emerging trends that are redefining contemporary behavioral statistics, while adding an remarkable new online feature, Choosing the Correct Statistical Test, in the book’s online component, LaunchPad.
Essentials of Statistics for the Behavioral Sciences
by Susan Nolan Thomas HeinzenEssentials of Statistics for the Behavioral Sciences by Susan Nolan and Thomas Heinzen is a concise, readable text that covers key statistical concepts. Exploring its wide variety of creative, step-by-step examples, students using Essentials will learn how to choose the appropriate statistical test, understand its conceptual significance, and calculate each statistic. With inviting examples using real-world data, the text teaches students to apply concepts and formulas to statistical questions that they will encounter in their academic lives and outside the classroom. The clear, accessible explanations highlight a conceptual understanding of statistics that minimize the mathematical. Nolan and Heinzen's brief text also provides the most opportunities for students to evaluate their understanding, with three tiers of exercises --Clarifying the Concepts, Calculating the Statistic, and Applying the Concepts-- integrated after each major topic as well as at the end of each chapter.