Probability Theory
Written by Introbooks Team
Narrated by Andrea Giordani
4.5/5
()
About this audiobook
Analysis theory of any random phenomena is known as probability. Main resource for concept of probability is probability theory. Probability theory is said to be one of many most important concepts or branches of mathematics. Following objects are known as main concepts or central objects:
- Random variables
- Stochastic processes
- Random events
- Measured quantities
Events are a kind of abstraction achieved through mathematical process. This abstraction is done on the base of non-deterministic events. Measured quantities can also be used for such abstraction. Measured quantities can be single occurrence or also follow random fashion for time evolving multiple occurrences. Making predictions about the outcome of random events is not always easy or even impossible sometimes. However, if influences are made on sequence of individual events, they will tend to follow certain patterns that are much easy to study, practice and predict. For instance, if outcome of coin flipping or roll of dice is influenced by outer factors such as friction, they will follow a specific pattern when proving outcome. Once this certain pattern is figured out and understood properly, it becomes much easier to predict the outcome with maximum accuracy. It means that it is hard to understand future outcome of subsequent random events that makes it hard to predict them. However, it is easy to predict pattern exhibited by these group of events that makes it easy to predict them and their corresponding events also. To describe such patterns certain mathematical results or concepts are used. Law of large numbers and central limit theorem are two main concepts that are used to study and describe such patterns followed by sequential random events.
Mathematical foundations of statistics consider probability theory as a practical part for any human activity in which, quantitative analysis of large data sets are involved. Involving in daily human activities makes probability theory a main concept of mathematics and statistics. It is also heavily involved in many mathematical and statistical concepts, which also makes it important for one to learn and understand basic concepts of this theory. Probability theory can also be used to describe complex systems, systems that hold only partial knowledge of their corresponding state. These descriptions are done the same way they are done in statistical mechanics. This is the main reason for which this theory is considered as a part of both mathematics and statistics. However, mathematics and statistics are parent theories for each other so any concept of mathematics can be a concept of statistics and any concept of statistics can be a concept of mathematics. Discovery of probabilistic behavior of physical phenomena is considered a great discovery in the field of physics. This probabilistic behavior was observed at atomic scales. This whole observation was heavily related to the concepts of probability theory. However, probability theory was not used as a complete base in that theory. This concept and research is broadly described in theory of quantum mechanics. Quantum mechanics is arguably the only field in physics, which is related with the concepts of probability theory. However, researches are still going on and more connections are much likely to be found out soon thanks to the deep relations between mathematics and physics.
More audiobooks from Introbooks Team
Game Theory and Strategy Explained Rating: 4 out of 5 stars4/5Project Management Basics Explained Rating: 4 out of 5 stars4/5Game Theory Basics Explained Rating: 3 out of 5 stars3/5History of Israel – Palestine Conflict Rating: 4 out of 5 stars4/5Operations Management Crash Course Rating: 5 out of 5 stars5/5Dark Matter Theory Rating: 5 out of 5 stars5/5Data Analysis Rating: 4 out of 5 stars4/5Statistics Crash Course Rating: 4 out of 5 stars4/5Basics of Statistics Explained Rating: 4 out of 5 stars4/5Learn and Understand Business Analysis Rating: 4 out of 5 stars4/5Fundamentals of Physics Rating: 4 out of 5 stars4/5Java Fundamentals Rating: 4 out of 5 stars4/5Basic Economics Rating: 4 out of 5 stars4/5Supply Chain Management Crash Course Rating: 4 out of 5 stars4/5Principles of Macroeconomics Explained Rating: 4 out of 5 stars4/5Hegelian Dialectic Rating: 5 out of 5 stars5/5Music Theory Rating: 4 out of 5 stars4/5Strategic Thinking Explained Rating: 4 out of 5 stars4/5Mechatronics Rating: 4 out of 5 stars4/5Introduction to Chemistry Rating: 4 out of 5 stars4/5Introduction to Pricing Strategies Rating: 5 out of 5 stars5/5Quantum Computing Rating: 4 out of 5 stars4/5Software Engineering Fundamentals Rating: 4 out of 5 stars4/5Introduction to Economics Rating: 4 out of 5 stars4/5Design Thinking Rating: 4 out of 5 stars4/5Systems Theory Rating: 3 out of 5 stars3/5Art Theory Rating: 4 out of 5 stars4/5Agile Project Management Explained Rating: 5 out of 5 stars5/5Digital Minimalism Rating: 4 out of 5 stars4/5
Related to Probability Theory
Related audiobooks
Fundamentals of Physics Rating: 4 out of 5 stars4/5Chaos Theory Rating: 4 out of 5 stars4/5Physics Textbook Rating: 0 out of 5 stars0 ratingsIs God a Mathematician? Rating: 4 out of 5 stars4/5Randomness Explained Rating: 2 out of 5 stars2/5Theory of Relativity Rating: 4 out of 5 stars4/5Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain Rating: 5 out of 5 stars5/5History of Quantum Physics Rating: 3 out of 5 stars3/5String Theory Rating: 4 out of 5 stars4/5Mathematical Problems Rating: 0 out of 5 stars0 ratingsThe Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry Rating: 4 out of 5 stars4/5Scientific Methods Rating: 0 out of 5 stars0 ratingsQuantum Mechanics Rating: 4 out of 5 stars4/5Basic Physics for Beginners: A Comprehensive Study Guide for the Self-Taught Scientist Rating: 3 out of 5 stars3/5Uncertainty Principle of Werner Heisenberg Rating: 4 out of 5 stars4/5Three Laws of Nature: A Little Book on Thermodynamics Rating: 5 out of 5 stars5/5Quantum Gravity Rating: 2 out of 5 stars2/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Significant Figures: The Lives and Work of Great Mathematicians Rating: 4 out of 5 stars4/5The World According to Physics Rating: 5 out of 5 stars5/5Basics of Statistics Explained Rating: 4 out of 5 stars4/5Statistics Crash Course Rating: 4 out of 5 stars4/5Number Theory Rating: 3 out of 5 stars3/5Statistics Textbook Rating: 5 out of 5 stars5/5Algebra Rating: 4 out of 5 stars4/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5Group Theory Rating: 4 out of 5 stars4/5Algorithm Rating: 4 out of 5 stars4/5New Developments in Statistics Rating: 5 out of 5 stars5/5Practical Statistics Rating: 3 out of 5 stars3/5
Mathematics For You
Freakonomics Rev Ed Rating: 4 out of 5 stars4/5How To Lie With Statistics Rating: 4 out of 5 stars4/5Game Theory: Understanding the Mathematics of Life Rating: 5 out of 5 stars5/5The Upside of Irrationality: The Unexpected Benefits of Defying Logic at Work and at Home Rating: 4 out of 5 stars4/5Once Upon a Prime: The Wondrous Connections Between Mathematics and Literature Rating: 3 out of 5 stars3/5The Golden Ratio: The Story of Phi, the World's Most Astonishing Number Rating: 4 out of 5 stars4/5Mastering Logical Fallacies: The Definitive Guide to Flawless Rhetoric and Bulletproof Logic Rating: 4 out of 5 stars4/5Who Gets What—And Why: The New Economics of Matchmaking and Market Design Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Infinite Powers: How Calculus Reveals the Secrets of the Universe Rating: 5 out of 5 stars5/5The Math of Life and Death Rating: 5 out of 5 stars5/5The Big Bang of Numbers: How to Build the Universe Using Only Math Rating: 3 out of 5 stars3/5The Joy of X: A Guided Tour of Math, from One to Infinity Rating: 4 out of 5 stars4/5How to Bake PI Rating: 4 out of 5 stars4/5Measurement Rating: 4 out of 5 stars4/5The Perfect Bet: How Science and Math Are Taking the Luck Out of Gambling Rating: 4 out of 5 stars4/5Zero: The Biography of a Dangerous Idea Rating: 4 out of 5 stars4/5Once Upon an Algorithm: How Stories Explain Computing Rating: 4 out of 5 stars4/5Johann Sebastian Bach: The Learned Musician Rating: 4 out of 5 stars4/5It's a Numberful World: How Math Is Hiding Everywhere Rating: 5 out of 5 stars5/5Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics Rating: 5 out of 5 stars5/5Statistics Crash Course Rating: 4 out of 5 stars4/5Everything Is Predictable: How Bayesian Statistics Explain Our World Rating: 4 out of 5 stars4/5Sacred Geometry: Unlocking the Spiritual Meaning of Various Shapes and Symbols Rating: 4 out of 5 stars4/5A History of Pi Rating: 3 out of 5 stars3/5Basics of Statistics Explained Rating: 4 out of 5 stars4/5Short Account of the History of Mathematics Rating: 5 out of 5 stars5/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5
Related categories
Reviews for Probability Theory
21 ratings1 review
- Rating: 5 out of 5 stars5/5Good Work Guys!
The book was great i learned a lot.