Fundamentals Of Calculus And Probability
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Fundamentals Of Calculus And Probability
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Author : Timothy C. Kearns
language : en
Publisher: Author House
Release Date : 2014-05
Fundamentals Of Calculus And Probability written by Timothy C. Kearns and has been published by Author House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05 with Education categories.
"Fundamentals of Calculus and Probability" is a book intended for students that have already had a course or two in Calculus, but perhaps not recently. The book is an assortment of topics related to basic mathematical and statistical analysis. It starts with a discussion of the real number system and some set theory, which includes a discussion of countable and uncountable infinity, which is an important and relevant part of advanced mathematics. From there, the book contains a chapter that provides a review of some of the key concepts of single-variable calculus. Then the book discusses a bit of so-called "measure" and how this relates to the integers, rationals, irrational, and real number systems. Finally, the book discusses probability, important probability distributions, and a good introduction to the basic concepts of statistical estimation and statistical inference (hypothesis testing). Along the way, the author interjects some of his own speculations about certain mathematical topics, and some comments about probability distributions, and in addition some topics involving space and time. It is not a textbook with exercises, but it has an abundance of examples throughout to explain the essential concepts and ideas. The book should appeal to students returning to school for graduate study, in a field such as statistics, that would benefit from an overview of many important topics in mathematics and statistics, which they will encounter in their advanced studies.
Fundamentals Of Calculus
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Author : Carla C. Morris
language : en
Publisher: John Wiley & Sons
Release Date : 2015-07-27
Fundamentals Of Calculus written by Carla C. Morris and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-27 with Mathematics categories.
Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.
Probability Essentials
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Author : Jean Jacod
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probability Essentials written by Jean Jacod and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
We present here a one-semester course on Probability Theory. We also treat measure theory and Lebesgue integration, concentrating on those aspects which are especially germane to the study of Probability Theory. The book is intended to fill a current need: there are mathematically sophisticated stu dents and researchers (especially in Engineering, Economics, and Statistics) who need a proper grounding in Probability in order to pursue their primary interests. Many Probability texts available today are celebrations of Prob ability Theory, containing treatments of fascinating topics to be sure, but nevertheless they make it difficult to construct a lean one semester course that covers (what we believe are) the essential topics. Chapters 1-23 provide such a course. We have indulged ourselves a bit by including Chapters 24-28 which are highly optional, but which may prove useful to Economists and Electrical Engineers. This book had its origins in a course the second author gave in Perugia, Italy, in 1997; he used the samizdat "notes" of the first author, long used for courses at the University of Paris VI, augmenting them as needed. The result has been further tested at courses given at Purdue University. We thank the indulgence and patience of the students both in Perugia and in West Lafayette. We also thank our editor Catriona Byrne, as weil as Nick Bingham for many superb suggestions, an anonymaus referee for the same, and Judy Mitchell for her extraordinary typing skills. Jean Jacod, Paris Philip Protter, West Lafayette Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . .
Understanding And Calculating The Odds
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Author : Catalin Barboianu
language : en
Publisher: INFAROM Publishing
Release Date : 2006
Understanding And Calculating The Odds written by Catalin Barboianu and has been published by INFAROM Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Games & Activities categories.
This book presents not only the mathematical concept of probability, but also its philosophical aspects, the relativity of probability and its applications and even the psychology of probability. All explanations are made in a comprehensible manner and are supported with suggestive examples from nature and daily life, and even with challenging math paradoxes. (Mathematics)
Fundamentals Of Bayesian Epistemology 1
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Author : Michael G. Titelbaum
language : en
Publisher: Oxford University Press
Release Date : 2022-04-14
Fundamentals Of Bayesian Epistemology 1 written by Michael G. Titelbaum and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-14 with Philosophy categories.
Bayesian ideas have recently been applied across such diverse fields as philosophy, statistics, economics, psychology, artificial intelligence, and legal theory. Fundamentals of Bayesian Epistemology examines epistemologists' use of Bayesian probability mathematics to represent degrees of belief. Michael G. Titelbaum provides an accessible introduction to the key concepts and principles of the Bayesian formalism, enabling the reader both to follow epistemological debates and to see broader implications Volume 1 begins by motivating the use of degrees of belief in epistemology. It then introduces, explains, and applies the five core Bayesian normative rules: Kolmogorov's three probability axioms, the Ratio Formula for conditional degrees of belief, and Conditionalization for updating attitudes over time. Finally, it discusses further normative rules (such as the Principal Principle, or indifference principles) that have been proposed to supplement or replace the core five. Volume 2 gives arguments for the five core rules introduced in Volume 1, then considers challenges to Bayesian epistemology. It begins by detailing Bayesianism's successful applications to confirmation and decision theory. Then it describes three types of arguments for Bayesian rules, based on representation theorems, Dutch Books, and accuracy measures. Finally, it takes on objections to the Bayesian approach and alternative formalisms, including the statistical approaches of frequentism and likelihoodism.
Fundamentals Of Bayesian Epistemology 2
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Author : Michael G. Titelbaum
language : en
Publisher: Oxford University Press
Release Date : 2022-04-14
Fundamentals Of Bayesian Epistemology 2 written by Michael G. Titelbaum and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-14 with Philosophy categories.
Bayesian ideas have recently been applied across such diverse fields as philosophy, statistics, economics, psychology, artificial intelligence, and legal theory. Fundamentals of Bayesian Epistemology examines epistemologists' use of Bayesian probability mathematics to represent degrees of belief. Michael G. Titelbaum provides an accessible introduction to the key concepts and principles of the Bayesian formalism, enabling the reader both to follow epistemological debates and to see broader implications Volume 1 begins by motivating the use of degrees of belief in epistemology. It then introduces, explains, and applies the five core Bayesian normative rules: Kolmogorov's three probability axioms, the Ratio Formula for conditional degrees of belief, and Conditionalization for updating attitudes over time. Finally, it discusses further normative rules (such as the Principal Principle, or indifference principles) that have been proposed to supplement or replace the core five. Volume 2 gives arguments for the five core rules introduced in Volume 1, then considers challenges to Bayesian epistemology. It begins by detailing Bayesianism's successful applications to confirmation and decision theory. Then it describes three types of arguments for Bayesian rules, based on representation theorems, Dutch Books, and accuracy measures. Finally, it takes on objections to the Bayesian approach and alternative formalisms, including the statistical approaches of frequentism and likelihoodism.
Catalogue
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Author : United States Military Academy
language : en
Publisher:
Release Date : 1970
Catalogue written by United States Military Academy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Military education categories.
Mathematical Foundations Of Computational Engineering
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Author : Peter J. Pahl
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-07-02
Mathematical Foundations Of Computational Engineering written by Peter J. Pahl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-02 with Computers categories.
Computational engineering is the treatment of engineering tasks with computers. It is based on computational mathematics, which is presented here in a comprehensive handbook. Engineers and scientists who deal with engineering tasks have to handle large amounts of information, which must be created and structured in a systematic manner. This demands a high level of abstraction and therefore knowledge of the mathematical foundations. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are selected and presented in a coherent fashion. They are brought into a suitable order for specific engineering purposes, and their significance for typical applications is shown. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information and communication technology.
Mathematical Theory Of Probability And Statistics
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Author : Richard von Mises
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Mathematical Theory Of Probability And Statistics written by Richard von Mises and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions. Discussions focus on Gaussian distribution, Poisson distribution, mean value variance and other moments, non-countable label space, basic assumptions, operations, and distribution function. The text then ponders on examples of combined operations and summation of chance variables characteristic function. The book takes a look at the asymptotic distribution of the sum of chance variables and probability inference. Topics include inference from a finite number of observations, law of large numbers, asymptotic distributions, limit distribution of the sum of independent discrete random variables, probability of the sum of rare events, and probability density. The text also focuses on the introduction to the theory of statistical functions and multivariate statistics. The publication is a dependable source of information for researchers interested in the mathematical theory of probability and statistics
The Fundamental Principles Of Mathematical Statistics
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Author : Hugh Herbert Wolfenden
language : en
Publisher:
Release Date : 1942
The Fundamental Principles Of Mathematical Statistics written by Hugh Herbert Wolfenden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with Statistics categories.