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Foundation Mathematics and Statistics

Foundation Mathematics and Statistics PDF Author: Thomas Bending
Publisher: Cengage Learning Business Press
ISBN: 9781844806119
Category : Computers
Languages : en
Pages : 286

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Book Description
Foundation Mathematics and Statistics provides the reader with a firm understanding of the maths and stats they will need for a computing degree or diploma. The book will give the reader competency in a range of mathematical tools required for technical subjects, and the confidence they will need in the classroom. Explanations of mathematical tools are supported by real world examples to make this subject accessible. Graded exercises enable the reader to practice and revise each topic. Starting with the basics of arithmetic and algebraic manipulation, the book covers everything from exponentials to logarithms. Providing a general grounding in proportions, ratios and percentages, this book will also help readers to understand probability and set theory. Finally, coverage includes the summary and presentation of statistical data and the drawing of histograms.

Foundation Mathematics and Statistics

Foundation Mathematics and Statistics PDF Author: Thomas Bending
Publisher: Cengage Learning Business Press
ISBN: 9781844806119
Category : Computers
Languages : en
Pages : 286

View

Book Description
Foundation Mathematics and Statistics provides the reader with a firm understanding of the maths and stats they will need for a computing degree or diploma. The book will give the reader competency in a range of mathematical tools required for technical subjects, and the confidence they will need in the classroom. Explanations of mathematical tools are supported by real world examples to make this subject accessible. Graded exercises enable the reader to practice and revise each topic. Starting with the basics of arithmetic and algebraic manipulation, the book covers everything from exponentials to logarithms. Providing a general grounding in proportions, ratios and percentages, this book will also help readers to understand probability and set theory. Finally, coverage includes the summary and presentation of statistical data and the drawing of histograms.

The Foundations of Statistics

The Foundations of Statistics PDF Author: Leonard J. Savage
Publisher: Courier Corporation
ISBN: 0486137104
Category : Mathematics
Languages : en
Pages : 352

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Book Description
Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended.

Foundations of Mathematics and Statistics

Foundations of Mathematics and Statistics PDF Author: Timothy C. Kearns
Publisher: Litfire Publishing, LLC
ISBN: 9781641517102
Category : Mathematics
Languages : en
Pages : 538

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Book Description
Foundations of Mathematics and Statistics is a summary of the basic principles of math and statistics for students of the sciences. The goal is to provide a good foundation of knowledge and ability with the basics of math and statistics that students need. This includes logic, sets, number systems, algebra, geometry, trigonometry, and the calculus. Then the remainder of the book deals with the fundamental topics of applied and mathematical statistics, including probability, random variables, expected value, samples, distributions, hypothesis testing, confidence intervals, and an introduction to linear regression and correlation. The book is meant to be used by college and graduate level students that need a good review of math fundamentals, with an introduction to basic statistical thinking and methodology. Those that need a good familiarity with math and statistics at the college and graduate levels would find this book a valuable supplemental reading, along with the fair amount of exercises that are included in order to reinforce the important ideas.

The National Science Foundation Global Change Research Program

The National Science Foundation Global Change Research Program PDF Author:
Publisher:
ISBN:
Category : Climatic changes
Languages : en
Pages : 42

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Book Description


Foundations of Applied Mathematics, Volume I

Foundations of Applied Mathematics, Volume I PDF Author: Jeffrey Humpherys
Publisher: SIAM
ISBN: 1611974895
Category : Mathematics
Languages : en
Pages : 710

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Book Description
This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?

The Milky Way Galaxy and Statistical Cosmology, 1890-1924

The Milky Way Galaxy and Statistical Cosmology, 1890-1924 PDF Author: Erich Robert Paul
Publisher: Cambridge University Press
ISBN: 9780521353632
Category : Science
Languages : en
Pages : 284

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Book Description
Paul describes the rise of statistical cosmology and how it has set the stage for many of the most significant developments of twentieth-century astronomy.

Foundations of Applied Mathematics, Volume 2

Foundations of Applied Mathematics, Volume 2 PDF Author: Jeffrey Humpherys
Publisher: SIAM
ISBN: 1611976065
Category : Mathematics
Languages : en
Pages : 806

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Book Description
In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization—essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topics that do not usually appear together: the theory and analysis of algorithms for mathematicians and data science students; probability and its applications; the theory and applications of approximation, including Fourier series, wavelets, and polynomial approximation; and the theory and practice of optimization, including dynamic optimization. When used in concert with the free supplemental lab materials, Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization teaches not only the theory but also the computational practice of modern mathematical methods. Exercises and examples build upon each other in a way that continually reinforces previous ideas, allowing students to retain learned concepts while achieving a greater depth. The mathematically rigorous lab content guides students to technical proficiency and answers the age-old question “When am I going to use this?” This textbook is geared toward advanced undergraduate and beginning graduate students in mathematics, data science, and machine learning.

Mathematical Statistics for Economics and Business

Mathematical Statistics for Economics and Business PDF Author: Ron C. Mittelhammer
Publisher: Springer Science & Business Media
ISBN: 1461450225
Category : Mathematics
Languages : en
Pages : 755

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Book Description
Mathematical Statistics for Economics and Business, Second Edition, provides a comprehensive introduction to the principles of mathematical statistics which underpin statistical analyses in the fields of economics, business, and econometrics. The selection of topics in this textbook is designed to provide students with a conceptual foundation that will facilitate a substantial understanding of statistical applications in these subjects. This new edition has been updated throughout and now also includes a downloadable Student Answer Manual containing detailed solutions to half of the over 300 end-of-chapter problems. After introducing the concepts of probability, random variables, and probability density functions, the author develops the key concepts of mathematical statistics, most notably: expectation, sampling, asymptotics, and the main families of distributions. The latter half of the book is then devoted to the theories of estimation and hypothesis testing with associated examples and problems that indicate their wide applicability in economics and business. Features of the new edition include: a reorganization of topic flow and presentation to facilitate reading and understanding; inclusion of additional topics of relevance to statistics and econometric applications; a more streamlined and simple-to-understand notation for multiple integration and multiple summation over general sets or vector arguments; updated examples; new end-of-chapter problems; a solution manual for students; a comprehensive answer manual for instructors; and a theorem and definition map. This book has evolved from numerous graduate courses in mathematical statistics and econometrics taught by the author, and will be ideal for students beginning graduate study as well as for advanced undergraduates.

Assessing the Reliability of Complex Models

Assessing the Reliability of Complex Models PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309256348
Category : Mathematics
Languages : en
Pages : 144

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Book Description
Advances in computing hardware and algorithms have dramatically improved the ability to simulate complex processes computationally. Today's simulation capabilities offer the prospect of addressing questions that in the past could be addressed only by resource-intensive experimentation, if at all. Assessing the Reliability of Complex Models recognizes the ubiquity of uncertainty in computational estimates of reality and the necessity for its quantification. As computational science and engineering have matured, the process of quantifying or bounding uncertainties in a computational estimate of a physical quality of interest has evolved into a small set of interdependent tasks: verification, validation, and uncertainty of quantification (VVUQ). In recognition of the increasing importance of computational simulation and the increasing need to assess uncertainties in computational results, the National Research Council was asked to study the mathematical foundations of VVUQ and to recommend steps that will ultimately lead to improved processes. Assessing the Reliability of Complex Models discusses changes in education of professionals and dissemination of information that should enhance the ability of future VVUQ practitioners to improve and properly apply VVUQ methodologies to difficult problems, enhance the ability of VVUQ customers to understand VVUQ results and use them to make informed decisions, and enhance the ability of all VVUQ stakeholders to communicate with each other. This report is an essential resource for all decision and policy makers in the field, students, stakeholders, UQ experts, and VVUQ educators and practitioners.

Mathematical and Statistical Applications in Life Sciences and Engineering

Mathematical and Statistical Applications in Life Sciences and Engineering PDF Author: Avishek Adhikari
Publisher: Springer
ISBN: 9811053707
Category : Mathematics
Languages : en
Pages : 372

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Book Description
The book includes articles from eminent international scientists discussing a wide spectrum of topics of current importance in mathematics and statistics and their applications. It presents state-of-the-art material along with a clear and detailed review of the relevant topics and issues concerned. The topics discussed include message transmission, colouring problem, control of stochastic structures and information dynamics, image denoising, life testing and reliability, survival and frailty models, analysis of drought periods, prediction of genomic profiles, competing risks, environmental applications and chronic disease control. It is a valuable resource for researchers and practitioners in the relevant areas of mathematics and statistics.