Fundamentals of Calculus and Probability - Kearns, Timothy C.
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"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…mehr

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Produktbeschreibung
"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.
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Autorenporträt
Timothy C. Kearns graduated from Virginia Tech (with honors) in June of 1983, with a Bachelor of Science degree in Statistics and Mathematics. In addition, he has successfully completed additional graduate level coursework in mathematics, and has been an avid reader of mathematics and science, and furthermore a successful tutor of mathematics, statistics, and physics since 2003. He is very passionate about the mathematical sciences, especially Calculus and the larger subject of Real Analysis. He enjoys conveying his expertise in these subjects to High School and College students that are interested in a career in mathematics, engineering, and the mathematically related sciences. This book is the culmination of his many years of experience with calculus and related subjects, and written for those students that are eager to learn the fundamentals of the differential and integral calculus along with its many applications.