Mathematical Recreations And Essays
Originally published in 1892. A fascinating book containing an account of certain Mathematical Recreations followed by some Essays on subjects most of which are directly concerned with historical mathematical problems. The illustrated contents include: Arithmetical Recreations - Geometrical Recreations - Mechanical Recreations - Chess Board Recreations - Magic Squares - Unicursal Problems - Kirkman's School Girls Problem - The Mathematical Tripos - The Parallel Postulate - Insolubility of The Algebraic Quintic - Mersenne's Numbers - String Figures - Astrology - Cryptographs and Ciphers - Hyper Space - Time and Its Measurement - Matter and Ether Theories. Etc. Many of the earliest science books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. Home Farm Books are republishing many of these classic works in affordable, high quality, modern editions, using the original text and artwork.
Will You Be Alive 10 Years from Now?
A collection of stimulating probability puzzles from bestselling math writer Paul Nahin What are the chances of a game-show contestant finding a chicken in a box? Is the Hanukkah dreidel a fair game? Will you be alive ten years from now? These are some of the one-of-a-kind probability puzzles that popular math writer Paul Nahin offers in this lively and informative book. Nahin brings probability to life with colorful historical anecdotes and a unique puzzle-solving approach that illustrates many of the techniques mathematicians use to grapple with probability. He looks at classic puzzles--from Galileo's dice-tossing problem to a disarming dice puzzle that would have astonished even Newton--and presents a dozen challenge problems and twenty-five probability puzzlers. With wit and insight, Nahin demonstrates why seemingly simple probability problems can stump even the experts.
Symmetry with Operator Theory and Equations
A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data.This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures.
Practical Multivariate Analysis
This is the sixth edition of a popular textbook on multivariate analysis. Well-regarded for its practical and accessible approach, with excellent examples and good guidance on computing, the book is particularly popular for teaching outside statistics, i.e. in epidemiology, social science, business, etc.
Knock on Wood
Jeffrey S. Rosenthal, author of the bestseller Struck by Lightning: The Curious World of Probabilities, was born on Friday the thirteenth, a fact that he discovered long after he had become one of the world's pre-eminent statisticians. Had he been living ignorantly and innocently under an unlucky cloud for all those years? Or is thirteen just another number? As a scientist and a man of reason, Rosenthal has long considered the value of luck, good and bad, seeking to measure chance and hope in formulas scratched out on chalkboards.In Knock on Wood, with great humour and irreverence, Rosenthal divines the world of luck, fate and chance, putting his considerable scientific acumen to the test in deducing whether luck is real or the mere stuff of superstition.
Dynamics Days Latin America and the Caribbean 2018
This book contains various works presented at the Dynamics Days Latin America and the Caribbean (DDays LAC) 2018. Since its beginnings, a key goal of the DDays LAC has been to promote cross-fertilization of ideas from different areas within nonlinear dynamics. On this occasion, the contributions range from experimental to theoretical research, including (but not limited to) chaos, control theory, synchronization, statistical physics, stochastic processes, complex systems and networks, nonlinear time-series analysis, computational methods, fluid dynamics, nonlinear waves, pattern formation, population dynamics, ecological modeling, neural dynamics, and systems biology. The interested reader will find this book to be a useful reference in identifying ground-breaking problems in Physics, Mathematics, Engineering, and Interdisciplinary Sciences, with innovative models and methods that provide insightful solutions. This book is a must-read for anyone looking for new developments of Applied Mathematics and Physics in connection with complex systems, synchronization, neural dynamics, fluid dynamics, ecological networks, and epidemics.
Generalized Linear Models and Correlated Data Methods
Beyond Multiple Linear Regression: Applied Generalized Linear Models and Multilevel Models in R is designed for undergraduate students who have successfully completed a multiple linear regression course, helping them develop an expanded modeling toolkit that includes non-normal responses and correlated structure. Even though there is no mathematical prerequisite, the authors still introduce fairly sophisticated topics such as likelihood theory, zero-inflated Poisson, and parametric bootstrapping in an intuitive and applied manner. The case studies and exercises feature real data and real research questions; thus, most of the data in the textbook comes from collaborative research conducted by the authors and their students, or from student projects. Every chapter features a variety of conceptual exercises, guided exercises, and open-ended exercises using real data. After working through this material, students will develop an expanded toolkit and a greater appreciation for the wider world of data and statistical modeling. A solutions manual for all exercises is available to qualified instructors at the book's website at www.routledge.com, and data sets and Rmd files for all case studies and exercises are available at the authors' GitHub repo (https: //github.com/proback/BeyondMLR)
Do Dice Play God?
A celebrated mathematician explores how math helps us make sense of the unpredictableWe would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty --- indeed, scientific advances indicate that the universe might be fundamentally inexact --- and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong. Thankfully, there is hope. As award-winning mathematician Ian Stewart reveals, over the course of history, mathematics has given us some of the tools we need to better manage the uncertainty that pervades our lives. From forecasting, to medical research, to figuring out how to win Let's Make a Deal, Do Dice Play God? is a surprising and satisfying tour of what we can know, and what we never will.
Without Words
All real life mathematics is problem solving. And all those fascinated by puzzles are problem solvers at heart. But thinking mathematically is a skill we have to learn and one which it is easy to forget. Recreational mathematicians and students can practise problem solving in different ways. In this book solving puzzles is practised in a different way from most books they will have seen before: - Readers get no clues to what the puzzle is about - They may take hours or even days to work out what is being asked of them - Even after that, some problems may have no solution The result of this challenge is a really challenging book that will fascinate anyone interested in puzzles and recreational mathematicians in particular. This volume contains 36 puzzles ranging from quite easy to more difficult. The sister volume More Without Words: Mathematical Puzzles to Confound and Delight is also available - containing 36 more puzzles with more easy and fewer testing ones.
Bayes Theorem
The Perfect Book for Beginners Wanting to Visually Learn About Bayes Theorem Through Real Examples!What if you could quickly and easily learn Bayesian data analysis without complex textbooks and statistics classes?Imagine being able to apply your newly learned theory to real life situations!Multi-time best selling IT & mathematics author, Arthur Taff, presents the perfect guide for any beginner. Bayesian data analysis can be difficult to learn, especially through textbooks and statistic classes at school. This book aims to solve that issue by presenting the theories in an easy-to-understand and visually intuitive way. This book contains a number of visual examples to build a basic understanding of Bayesian data analysis and then works to teach at a deeper level without the complexities you'd see in other similar books. Additionally, every example in this book has been solved using Excel.In this book, you will get: A Basic Introduction to Bayes Theorem (with examples) - The initial introduction demonstrates how Bayesian data analysis works when you have a single new piece of data to update initial probabilities. Adding New Data & Updating Probabilities - Takes the above example and looks at what happens if we have multiple pieces of data instead of a single piece. Bayes Theorem Terminology - The formal names for the different parts of the Bayes Theorem equation, and how it all comes together for an easier overall understanding. How to Deal With Data Errors - In a real life situation, it is unlikely that your data will be error-free. This section shows you how to deal with those errors and still get accurate probability estimates. Arthur's personal email address for unlimited customer support if you have any questions And much, much more... If you are a person that learns by example, especially visually, then this book is perfect for you! It is a very important topic in a wide range of industries - so dive in to get a deep understanding! Well, what are you waiting for? Grab your copy today by clicking the BUY NOW button at the top of this page!
Fat Chance
In a world where we are constantly being asked to make decisions based on incomplete information, facility with basic probability is an essential skill. This book provides a solid foundation in basic probability theory designed for intellectually curious readers and those new to the subject. Through its conversational tone and careful pacing of mathematical development, the book balances a charming style with informative discussion. This text will immerse the reader in a mathematical view of the world, giving them a glimpse into what attracts mathematicians to the subject in the first place. Rather than simply writing out and memorizing formulas, the reader will come out with an understanding of what those formulas mean, and how and when to use them. Readers will also encounter settings where probabilistic reasoning does not apply or where intuition can be misleading. This book establishes simple principles of counting collections and sequences of alternatives, and elaborates on these techniques to solve real world problems both inside and outside the casino. Pair this book with the HarvardX online course for great videos and interactive learning: https: //harvardx.link/fat-chance.
Conquering Statistics
Writing specifically for the statistically scared, Jeff Weaver exposes the mathematics behind statistical analysis and shows how an understanding of probability, standard deviation, margins of error, and test groups can help in the reader's understanding of everything from the lottery to national polls to scientific data. With vivid and humorous examples, Conquering Statistics opens the world of statistics to the average reader as well as the student and offers an invaluable look at the science behind the statistics.
Statistics Essentials for Dummies
Statistics Essentials For Dummies (9781119590309) was previously published as Statistics Essentials For Dummies (9780470618394). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Statistics Essentials For Dummies not only provides students enrolled in Statistics I with an excellent high-level overview of key concepts, but it also serves as a reference or refresher for students in upper-level statistics courses. Free of review and ramp-up material, Statistics Essentials For Dummies sticks to the point, with content focused on key course topics only. It provides discrete explanations of essential concepts taught in a typical first semester college-level statistics course, from odds and error margins to confidence intervals and conclusions. This guide is also a perfect reference for parents who need to review critical statistics concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts. The Essentials For Dummies SeriesDummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Introduction to Stochastic Processes
The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts - Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and studying.In the part on Markov chains, the focus is on the ergodicity. By using the minimal nonnegative solution method, we deal with the recurrence and various types of ergodicity. This is done step by step, from finite state spaces to denumerable state spaces, and from discrete time to continuous time. The methods of proofs adopt modern techniques, such as coupling and duality methods. Some very new results are included, such as the estimate of the spectral gap. The structure and proofs in the first part are rather different from other existing textbooks on Markov chains.In the part on stochastic analysis, we cover the martingale theory and Brownian motions, the stochastic integral and stochastic differential equations with emphasis on one dimension, and the multidimensional stochastic integral and stochastic equation based on semimartingales. We introduce three important topics here: the Feynman-Kac formula, random time transform and Girsanov transform. As an essential application of the probability theory in classical mathematics, we also deal with the famous Brunn-Minkowski inequality in convex geometry.This book also features modern probability theory that is used in different fields, such as MCMC, or even deterministic areas: convex geometry and number theory. It provides a new and direct routine for students going through the classical Markov chains to the modern stochastic analysis.
Statistics Workbook for Dummies With Online Practice
Practice your way to a higher statistics score The adage that "practice makes perfect" is never truer than with math problems. Statistics Workbook For Dummies with Online Practice provides succinct content reviews for every topic, with plenty of examples and practice problems for each concept, in the book and online. Every lesson begins with a concept review, followed by a few example problems and plenty of practice problems. There's a step-by-step solution for every problem, with tips and tricks to help with comprehension and retention. New for this edition, free online practice quizzes for each chapter provide extra opportunities to test your knowledge and understanding. Get FREE access to chapter quizzes in an online test bank Work along with each chapter or use the test bank for final exam review Discover which statistical measures are most meaningful Scoring high in your Statistics class has never been easier!
Math Art
From geometry in motion to the possibilities of pi, this stunning volume reveals how art has been inspired by the beauty and poetry of mathematical principles. The worlds of visual art and mathematics come together in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting more than 80 pieces, including a crocheted, colorful representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. For each work, we get the artist's story followed by accessible and thought-provoking explanations of the mathematical concept and equations behind the art. From 3D-printed objects that give real form to abstract mathematical theories, to mystic fractals, to Andy Warhol as a solution to the Traveling Salesman Problem, these artworks embody some of strangest, most beautiful relationships among numbers and across dimensions.
Dirichlet Forms Methods for Poisson Point Measures and L矇vy Processes
A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the "lent particle method" it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mathematical finance) or the random distribution of particles (as in statistical physics). Thanks to the theory of Dirichlet forms, the authors develop a mathematical tool for a quite general class of random Poisson measures and significantly simplify computations of Malliavin matrices of Poisson functionals. The method gives rise to a new explicit calculus that they illustrate on various examples: it consists in adding a particle and then removing it after computing the gradient. Using this method, one can establish absolute continuity of Poisson functionals such as L矇vy areas, solutions of SDEs driven by Poisson measure and, by iteration, obtain regularity of laws. The authors also give applications to error calculus theory. This book will be of interest to researchers and graduate students in the fields of stochastic analysis and finance, and in the domain of statistical physics. Professors preparing courses on these topics will also find it useful. The prerequisite is a knowledge of probability theory.
A First Course in Linear Model Theory
This second edition features several new topics that are extremely relevant to the current research in statistical methodology. Revised or expanded topics include analysis of covariance, Bayesian linear and generalized linear model, nonlinear regression, among others.
Mathematical Analysis and Applications
Investigations involving the theory and applications of mathematical analytic tools and techniques are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. In this Special Issue, we invite and welcome review, expository and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.
Operators of Fractional Calculus and Their Applications
During the past four decades or so, various operators of fractional calculus, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably popular and important due mainly to their demonstrated applications in numerous diverse and widespread fields of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional calculus operators provide several potentially useful tools for solving differential, integral, differintegral, and integro-differential equations, together with the fractional-calculus analogues and extensions of each of these equations, and various other problems involving special functions of mathematical physics, as well as their extensions and generalizations in one and more variables. In this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional calculus and its multidisciplinary applications.
Math Puzzles Made Easy For Kids
Practice and hone your child's numeric skills and logical thinking by helping him complete this fun math workbook. Each puzzle is presented in vibrant images that are quite challenging for young minds. The longer they pore on these puzzles, the more areas of his brain is opened and connected with the other brain areas. Overtime, this will lead to better information absorption and improved study habits too!
Mystery Medley
Teenagers have their raging hormones that may them feel extreme emotions every once in a while. As a parent, you have to provide them with an avenue where they can express their emotions in a positive way. One of such means is through color by number activities. Grab a copy of this CBN book today!
Advances in Real and Complex Analysis with Applications
Discusses a variety of topics in mathematics and engineering as well as their applicationsPresents major mathematical concepts in the simplest possible way Is a valuable resource for researchers in real and complex analysis
Lectures on the Theory of Stochastic Processes
No detailed description available for "Lectures on the Theory of Stochastic Processes".
Great Circles
This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge. The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by music, architecture, science fiction, philosophy, and the study of mathematics and poetry. The second part focuses on geometry, the circle and square, launching us from Shakespeare to Housman, from Euclid to Leibniz. The third part explores the study of dynamics, inertial motion and transcendental functions, from Descartes to Newton, and in 20th c. poetry. The final part contemplates infinity, as it emerges in modern set theory and topology, and in contemporary poems, including narrative poems about modern cosmology.
Elements of Matrix Modeling and Computing with MATLAB
This book covers a number of topics in linear algebra that are often not covered in first-year calculus, such as complex numbers and functions, matrices, algebraic systems, curve fitting, elements of linear differential equations, transform methods, and tools of computation. It introduces 2- and 3-D vectors and their products, connecting them to multivariate calculus using geometric and algebraic approaches. The author illuminates concepts through several applications, including steady state models, mixing tanks, heat diffusion, and pin-jointed structures. The text also incorporates exercises and MATLAB to help with more complex calculations.
Classical and Fuzzy Concepts in Mathematical Logic and Applications, Professional Version
Classical and Fuzzy Concepts in Mathematical Logic and Applications explains how to use the English language with logical responsibility, how to define and use formal language, and how to reason correctly. Specific issues examined include a discussion of propositional and predicate logic, logic networks, logic programming, proof of correctness, semantics, syntax, and theorems of Herbrand and Kalman. The text emphasizes the use of logic in computer science, addresses questions in automatic deduction, and introduces a systematic parallel between aspects of classical logic and fuzzy mathematical logic.
Fundamentals of Environmental Discharge Modeling
This book examines engineering and mathematical models for documenting and approving mechanical and environmental discharges. The author emphasizes engineering design considerations as well as applications to waste water and atmospheric discharges.Chapters discuss: the fundamentals of turbulent jet mixing, dilution concepts, and mixing zone conceptsdiffuser configurations and head loss calculationsdifferent modeling techniques and accepted models - discussed in detail with theoretical background, restrictions, input, output, and examplesLagrangian and the EPA UM 2-dimensional diffuser modelthe PLUMES interfaceEulerian integral methods, EPA UDKHG 3-dimensional diffuser model, and PDSG surface discharge modelempirical techniques, RSB diffuser model, the CORMIX family of models for both diffusers and surface dischargenumerical methods with a discussion of shelf commercial modelsGaussian atmospheric plume modelsFundamentals of Environmental Discharge Modeling includes numerous case studies and examples for each model and problem.
Modern Statistical, Systems, and GPSS Simulation, Second Edition
Modern Statistical, Systems, and GPSS Simulation, Second Edition introduces the theory and implementation of discrete-event simulation, establishes a theoretical basis for simulation methodology, and provides details of an important simulation language (GPSS).
Chances Are
Chances Are is the first book to make statistics accessible to everyone, regardless of how much math you remember from school.
The Mathematics of Everyday Life
Two experienced math educators help the average reader discover not only the everyday usefulness of math but the fun that comes from mastering the basics of arithmetic, algebra, geometry, and more.If you think of mathematics as a series of pointless classroom exercises without much relevance to real life, this book will change your mind. As the authors show, math is deeply embedded in almost every aspect of daily life--from managing your personal finances, making consumer purchases, and sharpening your computational skills, to learning to apply mathematical concepts that will give you a better grasp of both ordinary and extraordinary events and help you better appreciate the world we live in.With some basic geometry under your belt, you'll discover that there is an optimal point on a soccer field from which to shoot a goal. And you'll be more clever with the gears of a bike. If you like to play cards or go to the casino, knowing something about probability will give you an edge. You'll also have an enhanced understanding of the "whispering effect" inside the Capitol rotunda, why a car's headlights are so bright, and even why sewer covers are round.After reading this entertaining and instructive book, you'll come away with a whole new awareness of how elegantly mathematics explains everyday experiences and observations--from present day items to classical art and architecture.
Risk and Reward
Suggests optimal strategies for playing blackjack based on analytical treatment of the game of blackjack Presents ideas in a systematic, clear, and concise manner
JMP Start Statistics
This book provides hands-on tutorials with just the right amount of conceptual and motivational material to illustrate how to use the intuitive interface for data analysis in JMP. Each chapter features concept-specific tutorials, examples, brief reviews of concepts, step-by-step illustrations, and exercises. Updated for JMP 13, JMP Start Statistics, Sixth Edition includes many new features, including: The redesigned Formula Editor. New and improved ways to create formulas in JMP directly from the data table or dialogs. Interface updates, including improved menu layout. Updates and enhancements in many analysis platforms. New ways to get data into JMP and to save and share JMP results. Many new features that make it easier to use JMP.
Random Walks in the Quarter Plane
This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as Stochastic Networks, Analytic Combinatorics, and Quantum Physics. This second edition consists of two parts.Part I is a revised upgrade of the first edition (1999), with additional recent results on the group of a random walk. The theoretical approach given therein has been developed by the authors since the early 1970s. By using Complex Function Theory, Boundary Value Problems, Riemann Surfaces, and Galois Theory, completely new methods are proposed for solving functional equations of two complex variables, which can also be applied to characterize the Transient Behavior of the walks, as well as to find explicit solutions to the one-dimensional Quantum Three-Body Problem, or to tackle a new class of Integrable Systems.Part II borrows special case-studies from queueing theory (in particular, the famous problem of Joining the Shorter of Two Queues) and enumerative combinatorics (Counting, Asymptotics).Researchers and graduate students should find this book very useful.
Group Sequential and Adaptive Methods for Clinical Trials
This comprehensive second edition reflects the remarkable evolution in adaptive clinical trial methodology over the past two decades. Since publication of the first edition, these approaches have transformed from theoretical concepts to widely accepted practices, now endorsed by regulatory authorities, including formal FDA guidance.
Computational Genomics With R
This book has fundamental theoretical and practical aspects of data analysis, useful for beginners and experienced researchers that are looking for a recipe or an analysis approach. Since R has many packages, even experienced researchers look for how particular functions are used in an analysis workflow.
Advanced Statistics in Research
Advanced Statistics in Research: Reading, Understanding, and Writing Up Data Analysis Results is the simple, nontechnical introduction to the most complex multivariate statistics presented in empirical research articles.wwwStatsInResearch.com, is a companion website that provides free sample chapters, exercises, and PowerPoint slides for students and teachers. A free 600-item test bank is available to instructors.Advanced Statistics in Research does not show how to perform statistical procedures--it shows how to read, understand, and interpret them, as they are typically presented in journal articles and research reports. It demystifies the sophisticated statistics that stop most readers cold: multiple regression, logistic regression, discriminant analysis, ANOVA, ANCOVA, MANOVA, factor analysis, path analysis, structural equation modeling, meta-analysis--and more.Advanced Statistics in Research assumes that you have never had a course in statistics. It begins at the beginning, with research design, central tendency, variability, z scores, and the normal curve. You will learn (or re-learn) the big-three results that are common to most procedures: statistical significance, confidence intervals, and effect size. Step-by-step, each chapter gently builds on earlier concepts. Matrix algebra is avoided, and complex topics are explained using simple, easy-to-understand examples.Need help writing up your results? Advanced Statistics in Research shows how data-analysis results can be summarized in text, tables, and figures according to APA format. You will see how to present the basics (e.g., means and standard deviations) as well as the advanced (e.g., factor patterns, post-hoc tests, path models, and more).Advanced Statistics in Research is appropriate as a textbook for graduate students and upper-level undergraduates (see supplementary materials at StatsInResearch.com). It also serves as a handy shelf reference for investigators and all consumers of research.
Mathematical Analysis I
This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis. The main difference between the second and first editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals. Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics. The first volume constitutes a complete course in one-variable calculus along with the multivariable differential calculus elucidated in an up-to-date, clear manner, with a pleasant geometric and natural sciences flavor.
Applied Mathematics
Mathematics is playing an increasingly important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Association between Pornography Consumption and Sexual Practice among Adolescents in Rwanda
Project Report from the year 2017 in the subject Mathematics - Statistics, grade: "memoire", University of Rwanda (college of business and economics), course: Applied Statistics, language: English, abstract: The study was carried out to investigate the association between pornography consumption and sexual practice among adolescents of Rwanda in academic area especially in Huye District. Pornography consumption is considered as a main dangerous drug to inspire people doing sex. The motivation of doing this research is the increasing of sexual diseases and unexpected pregnancy in youths under 20 years. This is due to engage in watching porn films at such time. The study was carried out in Huye District academically in Regina pacis and Butare secondary School. The population under study was 281 students under 20 years old, grouped in these secondary schools from which a sample of 74 students was selected. A case study research design was adopted and participants are distributed in in two strata and sample size distributed proportional to the size. The study used questionnaire while descriptive and inferential statistics was used for data analysis and reporting. More women (54.2%) than men (45.8%) had ever consumed pornography sometime means that more female are high consumers than low consumers (male). Among 39 students who replied that they need sex after watching 26 of them (66.7%) are men and 13 (33.3%) are women. 27 of the sample had had sexual intercourse, of swhich 63% reported contraceptive use at their intercourse. Among the 27 who had had sex, most of them are studied in Ordinary level (51.9%) and 48.1% from Advanced level. According to the respondent, about 27 who had had sex those caused by watching porn are 20 (74.5%). About negative impact only 6 students (22.2%) always afraid, and 4 (14.8%) feel lonely in society. The materials used in watching pornography are phones (66.2%), internet (20.3%) and computer & television both occupied 6.8% each. Even if the
Dimensional Analysis & Conversion Factors
In this book, there are six examples involving the concepts of surface area and volume of geometric solids to accurately determine correct dimensions. Three examples regarding three types of financial interest formulas are presented to illustrate the determination of appropriate dimensions. Section 2 presents twelve problems that illustrate the conversion from one unit of measurement (dimension) to another. All the problems in this section illustrate both the conversion of units of measurement and the numerical calculations. In other words, these twelve problems demonstrate a complete dimensional analysis solution. Do you realize the tremendous magnitude of the velocity of light? A complete dimensional analysis is provided here for the speed of light including the distance that light travels in one year. If you were asked to guess the weight of one million one-dollar bills, what estimate would you offer? You may be surprised by the correct answer! Suppose you positioned a billion one-dollar bills end to end. What distance would be necessary to accomplish this event? Have you considered the dimensions of the heavenly kingdom as described by a designer, the sovereign God of all reality? If you counted slowly (one number per second), how long would it take you (with no interruptions) to count to a million? This is another example of our general ignorance regarding the relative magnitude of numbers. It is virtually a certainty that you will discover some thoughts or idea that will interest you among the numerous entries in Section 5.
Dimensional Analysis & Conversion Factors
In this book, there are six examples involving the concepts of surface area and volume of geometric solids to accurately determine correct dimensions. Three examples regarding three types of financial interest formulas are presented to illustrate the determination of appropriate dimensions. Section 2 presents twelve problems that illustrate the conversion from one unit of measurement (dimension) to another. All the problems in this section illustrate both the conversion of units of measurement and the numerical calculations. In other words, these twelve problems demonstrate a complete dimensional analysis solution. Do you realize the tremendous magnitude of the velocity of light? A complete dimensional analysis is provided here for the speed of light including the distance that light travels in one year. If you were asked to guess the weight of one million one-dollar bills, what estimate would you offer? You may be surprised by the correct answer! Suppose you positioned a billion one-dollar bills end to end. What distance would be necessary to accomplish this event? Have you considered the dimensions of the heavenly kingdom as described by a designer, the sovereign God of all reality? If you counted slowly (one number per second), how long would it take you (with no interruptions) to count to a million? This is another example of our general ignorance regarding the relative magnitude of numbers. It is virtually a certainty that you will discover some thoughts or idea that will interest you among the numerous entries in Section 5.
Introduction to Hilbert Space and the Theory of Spectral Multiplicity
Lectures on the Poisson Process
The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels.
Take a Number
Is mathematics a subject that everyone must study? You bet it is, and this playful guide shows why all of the people on this planet need to know something about math, and the more, the merrier! Mathematics is like a game and if you know the equipment and the rules, you can use it for both work and recreation. This illustrated book suggests practical and charming methods of studying and practicing math. From addition, subtraction, multiplication, and division to algebra and geometry, the brisk, lighthearted approach offers fun-to-solve problems and complete answers. Author Lillian R. Lieber was head of the Department of Mathematics at Long Island University. In the 1940s, she wrote a series of good-humored, well-respected books about mathematics, including The Education of T. C. MITS (The Celebrated Man in the Street), a special edition of which was circulated among American GIs during World War II. Whimsical drawings by her husband, Hugh Gray Lieber, illustrate Take a Number and many of her other books.
