An Introduction to Probability Theory and Its Applications, Volume 1


William Feller - 1968
    Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.

R for Data Science: Import, Tidy, Transform, Visualize, and Model Data


Hadley Wickham - 2016
    This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You’ll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you’ve learned along the way. You’ll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results

Introduction to Probability


Dimitri P. Bertsekas - 2002
    This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, least squares estimation, the bivariate normal distribution, and a fairly detailed introduction to Bernoulli, Poisson, and Markov processes. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems. The book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

SAT Prep Black Book: The Most Effective SAT Strategies Ever Published


Mike Barrett - 2013
    The Black Book doesn't include any vocabulary lists, and doesn't advise its readers to rely on math formulas.Instead, The SAT Prep Black Book teaches readers to approach the test the same way that Barrett trains his students. Barrett sees the SAT as a standardized instrument with a specific objective, and reasons that the test must observe certain design guidelines that follow from that unique objective. So this book explains to students how different types of SAT questions are actually written, from the perspective of the College Board: for each question type, Barrett explains the "big secret" of that question type, the rules and patterns that all questions of that type will follow, and, most importantly for readers, exactly how to attack the question type based on the inherent weaknesses of its particular rules and patterns.The book includes over 250 example solutions that demonstrate Barrett's approach against real SAT questions written by the College Board. In order to follow along, students will want a copy of the College Board's book "The Official SAT Study Guide," the source of the questions whose solutions appear in the Black Book.The overall lesson of the SAT Prep Black Book is that the SAT tests very basic concepts in very strange ways, so students should learn the unique habits of the test rather than cramming definitions and formulas. At 330 pages, the book is thorough and detailed in its analysis of the SAT.

Case Files: Psychiatry


Eugene C. Toy - 2004
    Each case includes an extended discussion, definition of terms, clinical pearls, and USMLE format review questions. This interactive learning system helps you understand essential concepts instead of memorizing facts.

Interpersonal Communication


Kory Floyd - 2011
    "Interpersonal Communication, 2e" demonstrates how effective interpersonal communication can make students' lives better. With careful consideration given to the impact of computer-mediated communication, the program reflects the rapid changes of the modern world in which today's students live and interact. The program also helps students understand and build interpersonal skills and choices for their academic, personal, and professional lives.

Human Physiology: From Cells To Systems


Lauralee Sherwood - 1962
    Author Lauralee Sherwood has streamlined physiological study without dumbing it down by organizing the material around one central human process: homeostasis. In addition to the easy-to-understand text, Sherwood ties physiological study to real world scenarios in fields like pathophysiology and clinical physiology. Plus, it includes PhysioEdge, the most powerful CD-ROM you can get. PhysioEdge2 is packed with tutorials and fast access to answers. And Personal Tutor with SMARTHINKING (access to a live online human physiology tutor) and InfoTrac (an online university library that will save you a trek across campus), HUMAN PHYSIOLOGY: FROM CELLS TO SYSTEMS is the text you need to succeed in physiology class and get ready for health-related careers.

Abnormal Psychology: Clinical Perspectives on Psychological Disorders


Richard P. Halgin - 1998
    In Richard Halgin and Susan Krauss Whitbourne’s Abnormal Psychology: Clinical Perspectives on Psychological Disorders, students are shown the human side of Abnormal Psychology. Through the wide

Everything You Need to Ace Math in One Big Fat Notebook: The Complete Middle School Study Guide


Altair Peterson - 2016
        Everything You Need to Ace Math . . . covers everything to get a student over any math hump: fractions, decimals, and how to multiply and divide them; ratios, proportions, and percentages; geometry; statistics and probability; expressions and equations; and the coordinate plane and functions. The BIG FAT NOTEBOOK™ series is built on a simple and irresistible conceit—borrowing the notes from the smartest kid in class. There are five books in all, and each is the only book you need for each main subject taught in middle school: Math, Science, American History, English Language Arts, and World History. Inside the reader will find every subject’s key concepts, easily digested and summarized: Critical ideas highlighted in neon colors. Definitions explained. Doodles that illuminate tricky concepts in marker. Mnemonics for memorable shortcuts. And quizzes to recap it all. The BIG FAT NOTEBOOKS meet Common Core State Standards, Next Generation Science Standards, and state history standards, and are vetted by National and State Teacher of the Year Award–winning teachers. They make learning fun and are the perfect next step for every kid who grew up on Brain Quest.

Math with Bad Drawings


Ben Orlin - 2018
     In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

Fun with Roman Numerals


David A. Adler - 2008
    Built in MMVIII. Roman numerals are everywhere---on clocks, in books, and on buildings. But what do Roman numerals mean, and how does one use them? Fun with Roman Numerals is a straightforward and appealing introduction to a timely topic. On a scale of I to X, it's an XI!

A History of Mathematics


Carl B. Boyer - 1968
    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

Introduction to Psychology


James W. Kalat - 1986
    With his humorous writing style and hands-on "Try It Yourself" exercises, Kalat puts you at ease and gets you involved with what you are studying so that you can succeed in your course.

A-Level Physics


Roger Muncaster - 1981
    New 'Consolidation' sections and questions designed to provide a link between GCSE and A-level feature in the text.At the end of each section there are many questions - ideal for consolidation and revision - mainly from past A-level examination papers. Over 15 of these past-paper questions have been added in the Fourth Edition. Answers are included.

Why Does E=mc²? (And Why Should We Care?)


Brian Cox - 2009
    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.