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The Resource The probability lifesaver : all the tools you need to understand chance, Steven J. Miller

The probability lifesaver : all the tools you need to understand chance, Steven J. Miller

Label
The probability lifesaver : all the tools you need to understand chance
Title
The probability lifesaver
Title remainder
all the tools you need to understand chance
Statement of responsibility
Steven J. Miller
Creator
Author
Subject
Language
eng
Summary
For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly textbook helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement--both in the textbook and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a courseNumerous worked-out examplesLectures based on the chapters are available free onlineIntuition of problems emphasized first, then technical proofs givenAppendixes review proof techniquesRelaxed, conversational approach
Member of
Cataloging source
IDEBK
http://library.link/vocab/creatorDate
1974-
http://library.link/vocab/creatorName
Miller, Steven J.
Index
index present
Language note
In English
LC call number
QA273
LC item number
.M55185 2017eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
A Princeton lifesaver study guide
http://library.link/vocab/subjectName
  • Probabilities
  • Chance
  • Games of chance (Mathematics)
  • Random variables
  • Chance
  • Games of chance (Mathematics)
  • Probabilities
  • Random variables
Label
The probability lifesaver : all the tools you need to understand chance, Steven J. Miller
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
I. General theory. Introduction -- Basic probability laws -- Counting I: cards -- Conditional probability, independence, and Bayes' theorem -- Counting II: inclusion-exclusion -- Counting III: advanced combinatorics -- II. Introduction to random variables. Introduction to discrete random variables -- Introduction to continuous random variables -- Tools: expectation -- Tools: Convolutions and changing variables -- Tools: differentiating identities -- III. Special distributions. Discrete distributions -- Continuous random variables: uniform and exponential -- Continuous random variables: the normal distribution -- The gamma function and related distributions -- The chi-square distribution -- IV. Limit theorems. Inequalities and laws of large numbers -- Stirling's formula -- Generating functions and convolutions -- Proof of the central limit theorem -- Fourier analysis and the central limit theorem -- V. Additional topics. Hypothesis testing -- Difference equations, Markov processes, and probability -- The method of least squares -- Two famous problems and some coding
Control code
987017971
Dimensions
unknown
Extent
1 online resource (xxiii, 727 pages)
Form of item
online
Isbn
9781400885381
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
LIBRARY COPY INCLUDES 1-USER PERPETUAL ACCESS TO EBOOK
Other control number
10.1515/9781400885381
http://library.link/vocab/ext/overdrive/overdriveId
1005451
Specific material designation
remote
System control number
(OCoLC)987017971
Label
The probability lifesaver : all the tools you need to understand chance, Steven J. Miller
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
I. General theory. Introduction -- Basic probability laws -- Counting I: cards -- Conditional probability, independence, and Bayes' theorem -- Counting II: inclusion-exclusion -- Counting III: advanced combinatorics -- II. Introduction to random variables. Introduction to discrete random variables -- Introduction to continuous random variables -- Tools: expectation -- Tools: Convolutions and changing variables -- Tools: differentiating identities -- III. Special distributions. Discrete distributions -- Continuous random variables: uniform and exponential -- Continuous random variables: the normal distribution -- The gamma function and related distributions -- The chi-square distribution -- IV. Limit theorems. Inequalities and laws of large numbers -- Stirling's formula -- Generating functions and convolutions -- Proof of the central limit theorem -- Fourier analysis and the central limit theorem -- V. Additional topics. Hypothesis testing -- Difference equations, Markov processes, and probability -- The method of least squares -- Two famous problems and some coding
Control code
987017971
Dimensions
unknown
Extent
1 online resource (xxiii, 727 pages)
Form of item
online
Isbn
9781400885381
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
LIBRARY COPY INCLUDES 1-USER PERPETUAL ACCESS TO EBOOK
Other control number
10.1515/9781400885381
http://library.link/vocab/ext/overdrive/overdriveId
1005451
Specific material designation
remote
System control number
(OCoLC)987017971

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