PirateBay Download | patrick d intermediate counting probability 2018

patrick d intermediate counting probability 2018

Type:: E-books
Files:: 1
Size:: 80.5 MB
Uploaded On:: Aug. 30, 2022, 11:44 a.m.
Added By:: andryold1
Seeders:: 6
Leechers:: 0
Info Hash:: C68E3EEF755A3F0C496EB1500DB1F70ED13EF40E

Textbook in PDF format Learn the basics of counting and probability from former USA Mathematical Olympiad winner David Patrick. Topics covered in the book include permutations, combinations, Pascal's Triangle, basic combinatorial identities, expected value, fundamentals of probability, geometric probability, the Binomial Theorem, and much more. As you'll see in the excerpts below, the text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which counting and probability techniques are taught. Important facts and powerful problem solving approaches are highlighted through out the text. In addition to the instructional material, the book contains over 400 problems. The solutions manual contains full solutions to all of the problems, not just answers. This book is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of counting and probability will find this book an instrumental part of their mathematics libraries. AoPS 2-Book Set : Art of Problem Solving AoPS Intermediate Counting and Probability Textbook and Solutions Manual 2-Book Set : Continue your exploration of more advanced counting and probability topics from former USA Mathematical Olympiad winner David Patrick. This book is the follow-up to the acclaimed Introduction to Counting & Probability textbook. Topics covered in this book include inclusion-exclusion, 1-1 correspondences, the Pigeonhole Principle, constructive expectation, Fibonacci and Catalan numbers, recursion, conditional probability, generating functions, graph theory, and much more. As with all of the books in Art of Problem Solving's Introduction and Intermediate series, the text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which counting and probability techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. How to Use This Book Acknowledgements Review of Counting & Probability Basics Introduction Basic Counting Techniques Basic Probability Techniques Expected Value Pascal's Triangle and the Binomial Theorem Summation Notation Summary Sets and Logic Introduction Sets Operations on Sets Truth and Logic Quantifiers Summary A Piece of PIE Introduction PIE With 2 Properties PIE With 3 Properties Counting Problems With PIE PIE With Many Properties Counting Items With More Than I of Something Some Harder PIE Problems Summary Constructive Counting and Correspondences Introduction Some Basic Problems Harder Constructive Counting Problems 1-1 Correspondence Basics More Complicated 1-1 Correspondences Clever 1-1 Correspondences Summary The Pigeonhole Principle Introduction It's Just Common Sense! Basic Pigeonhole Problems More Advanced Pigeonhole Problems Summary Constructive Expectation Introduction Basic Examples Summing Expectations Constructively Coat With Many Patches (Reprise) Summary Distributions Introduction. Basic Distributions Distributions With Extra Conditions More Complicated Distribution Problems Summary Mathematical Induction Fibonacci Numbers Introduction A Motivating Problem Some Fibonacci Problems A Formula for the Fibonacci Numbers Summary Recursion Introduction Examples of Recursions Linear Recurrences A Hard Recursion Problem Problems Involving Catalan Numbers Formulas for the Catalan Numbers Summary Conditional Probability Introduction Basic Examples of Conditional Probability Some Definitions and Notation Harder Examples Let's Make a Deal! Summary Combinatorial Identities Introduction Basic Identities More Identities Summary Events With States Introduction State Diagrams and Random Walks Events With Infinite States Two-player Strategy Games Summary Generating Functions Introduction Basic Examples of Generating Functions The Binomial Theorem (as a Generating Function) Distributions (as Generating Functions) The Generating Function for Partitions The Generating Function for the Fibonacci Numbers Summary Graph Theory Introduction Definitions Basic Properties of Graphs Cycles and Paths Planar Graphs Eulerian and Hamiltonian Paths Summary Challenge Problems

Get This Torrent

Patrick D. Intermediate Counting and Probability 2018.pdf 80.5 MB

Details for: Patrick D. Intermediate Counting and Probability 2018

patrick d intermediate counting probability 2018

Similar Posts: