*Art of Problem Solving*

**Author**: David Patrick

**Publisher:**Aops Incorporated

**ISBN:**9781934124116

**Category:**Mathematics

**Page:**112

**View:**4150

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# Search Results for: introduction-to-counting-and-probability

*Art of Problem Solving*

**Author**: David Patrick

**Publisher:** Aops Incorporated

**ISBN:** 9781934124116

**Category:** Mathematics

**Page:** 112

**View:** 4150

**Author**: David Patrick

**Publisher:** Aops Incorporated

**ISBN:** 9781934124109

**Category:** Mathematics

**Page:** 243

**View:** 3541

**Author**: David Patrick

**Publisher:** Aops Incorporated

**ISBN:** 9781934124062

**Category:** Mathematics

**Page:** 386

**View:** 7445

*Using the American Mathematics Competitions*

**Author**: J. Douglas Faires

**Publisher:** MAA

**ISBN:** 9780883858240

**Category:** Mathematics

**Page:** 307

**View:** 6781

Provide students with the tools to solve problems that are found on mathematical problem-solving exams.

**Author**: R. C. Bose,B. Manvel

**Publisher:** John Wiley & Sons Incorporated

**ISBN:** N.A

**Category:** Mathematics

**Page:** 237

**View:** 3448

A ``hands-on'' constructive and computational approach to combinatorial topics with real-life modern applications. Provides a simple treatment of the subject. Introduces topics such as counting, designs and graphs. The notation is standard and kept to a minimum. Chapters end with historical remarks and suggestions for further reading.

**Author**: Joseph K. Blitzstein,Jessica Hwang

**Publisher:** CRC Press

**ISBN:** 1498759769

**Category:** Mathematics

**Page:** 596

**View:** 2385

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
*The Basics Solutions*

**Author**: Sandor Lehoczky,Richard Rusczyk

**Publisher:** N.A

**ISBN:** 9781885875006

**Category:** Problem solving

**Page:** 174

**View:** 7127

*Statistics and Random Processes*

**Author**: Hossein Pishro-Nik

**Publisher:** N.A

**ISBN:** 9780990637202

**Category:** Probabilities

**Page:** 746

**View:** 4704

The book covers basic concepts such as random experiments, probability axioms, conditional probability, and counting methods, single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities; limit theorems and convergence; introduction to Bayesian and classical statistics; random processes including processing of random signals, Poisson processes, discrete-time and continuous-time Markov chains, and Brownian motion; simulation using MATLAB and R.

**Author**: Paul E. Pfeiffer,David A. Schum

**Publisher:** Elsevier

**ISBN:** 1483277208

**Category:** Mathematics

**Page:** 420

**View:** 5341

Introduction to Applied Probability provides a basis for an intelligent application of probability ideas to a wide variety of phenomena for which it is suitable. It is intended as a tool for learning and seeks to point out and emphasize significant facts and interpretations which are frequently overlooked or confused by the beginner. The book covers more than enough material for a one semester course, enhancing the value of the book as a reference for the student. Notable features of the book are: the systematic handling of combinations of events (Section 3-5); extensive use of the mass concept as an aid to visualization; an unusually careful treatment of conditional probability, independence, and conditional independence (Section 6-4); the resulting clarification facilitates the formulation of many applied problems; the emphasis on events determined by random variables, which gives unity and clarity to many topics important for interpretation; and the utilization of the indicator function, both as a tool for dealing with events and as a notational device in the handling of random variables. Students of mathematics, engineering, biological and physical sciences will find the text highly useful.

**Author**: Mathew Crawford

**Publisher:** Aops Incorporated

**ISBN:** 9781934124123

**Category:** Mathematics

**Page:** 314

**View:** 5232

*An Introduction to Combinatorics and Its Applications*

**Author**: Robert A. Beeler

**Publisher:** Springer

**ISBN:** 3319138448

**Category:** Mathematics

**Page:** 361

**View:** 5284

Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniques are included. Students often struggle with certain topics, such as generating functions, and this intuitive approach to the problem is helpful in their understanding. When possible, the book introduces concepts using combinatorial methods (as opposed to induction or algebra) to prove identities. Students are also asked to prove identities using combinatorial methods as part of their exercises. These methods have several advantages over induction or algebra.

**Author**: Richard Rusczyk,David Patrick,Ravi Bopu Boppana

**Publisher:** N.A

**ISBN:** 9781934124215

**Category:** Algebra

**Page:** 608

**View:** 6046

Prealgebra prepares students for the rigors of algebra, and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8.Topics covered in the book include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics, counting and probability, and more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems. The solutions manual contains full solutions to all of the problems, not just answers.

**Author**: Sheldon M. Ross

**Publisher:** Elsevier

**ISBN:** 1483276589

**Category:** Mathematics

**Page:** 568

**View:** 8530

Introduction to Probability Models, Fifth Edition focuses on different probability models of natural phenomena. This edition includes additional material in Chapters 5 and 10, such as examples relating to analyzing algorithms, minimizing highway encounters, collecting coupons, and tracking the AIDS virus. The arbitrage theorem and its relationship to the duality theorem of linear program are also covered, as well as how the arbitrage theorem leads to the Black-Scholes option pricing formula. Other topics include the Bernoulli random variable, Chapman-Kolmogorov equations, and properties of the exponential distribution. The continuous-time Markov chains, single-server exponential queueing system, variations on Brownian motion; and variance reduction by conditioning are also elaborated. This book is a good reference for students and researchers conducting work on probability models.

**Author**: Kenneth Baclawski

**Publisher:** CRC Press

**ISBN:** 9781420065220

**Category:** Mathematics

**Page:** 384

**View:** 4739

Based on a popular course taught by the late Gian-Carlo Rota of MIT, with many new topics covered as well, Introduction to Probability with R presents R programs and animations to provide an intuitive yet rigorous understanding of how to model natural phenomena from a probabilistic point of view. Although the R programs are small in length, they are just as sophisticated and powerful as longer programs in other languages. This brevity makes it easy for students to become proficient in R. This calculus-based introduction organizes the material around key themes. One of the most important themes centers on viewing probability as a way to look at the world, helping students think and reason probabilistically. The text also shows how to combine and link stochastic processes to form more complex processes that are better models of natural phenomena. In addition, it presents a unified treatment of transforms, such as Laplace, Fourier, and z; the foundations of fundamental stochastic processes using entropy and information; and an introduction to Markov chains from various viewpoints. Each chapter includes a short biographical note about a contributor to probability theory, exercises, and selected answers. The book has an accompanying website with more information.

**Author**: Henk Tijms

**Publisher:** Cambridge University Press

**ISBN:** 1108418740

**Category:** Mathematics

**Page:** N.A

**View:** 7476

Comprehensive, yet concise, this textbook is the go-to guide to learn why probability is so important and its applications.

**Author**: R. Meester

**Publisher:** Springer Science & Business Media

**ISBN:** 9783764387242

**Category:** Mathematics

**Page:** 198

**View:** 638

Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary. The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.
*Introduction to Probability Models 10th Edition*

**Author**: Sheldon M Ross

**Publisher:** Academic Press

**ISBN:** 9780123814364

**Category:** Mathematics

**Page:** 170

**View:** 6105

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