This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    I’m about to get really pissed off. Maybe I should just go (in hindsight…even based on what happened next, I’d probably do it all the same!) As is, I hate blind dates! I usually create this “picture perfect” guy in my head and then reality generally walks in! Ohhh god, and reality can be REALLLLLY cruel at times (MOST of the time!!!).Anyway…I’ve just moved back to Seattle to work with my dad at his law firm. We haven’t always had the best relationship…I’m really hoping that this is him reaching out to me. Honestly, blind-dates are the last thing I need right now in my life!I’m about to give up on this night and leave when the most delicious looking specimen of a man comes up to me. I honestly thought I was hallucinating! This guy is ravishing…the type of “stop and stare” guy. Mr. I LITERALLY felt I wanted to get pregnant just by looking at him, says...“Please, tell me I’m the one you’ve been waiting for!” with a naughty smirk on his face.“Are you David Blake?” I ask.“No, but I can be anyone you want me to be.” He smiles, and my head…ohhh god…my head is filled with strong dose of naughty thoughts (a “bit” of an understatement actually!). It’s not my blind-date…and I think to myself (well, I’M TRYING to think!!!) What the hell should I do?I don’t know what the heck happened to me but I stare right into his eyes and say “Tell you what, I’m staying upstairs.” I pause. I could feel his eyes penetrating me. And then I drop the bomb… “Let’s skip the drinks and the preamble, you follow me to my room, and let's have one hell of a one-night stand. You don’t even have to tell me your name.”I couldn’t believe I just said that!He’s shocked. I’m shocked. I don’t normally do this kind of thing. But we do it. Oh, boy…do we do it. We have the most amazing, earth shattering night that I could ever dream of. And THAT was the gift…now comes the SLAP…When the weekend is over and I go in to work on Monday morning. The secretary shows me in to my dad’s office. What the heck is he doing in here? Mr. I LITERALLY felt I wanted to get pregnant just by looking at him turns and smiles.Guess what? My one-night stand is my dad’s billionaire best friend, Jared Hawthorne. He’s my new client. Things are about to get really complicated!Business or Pleasure? is a stand alone romance book with an amazing HEA!

    Prepare to stretch your mind and challenge everything you think you know, as This Book Does Not Exist unveils just how weird a place the world of thought can be. Filled with philosophical and mathematical problems to baffle and delight you, This Book Does Not Exist is packed with thought experiments, real-life examples, and puzzles for you to try. It also introduces you to some of the great names in the field of paradoxes, from the ancient Greeks to Albert Einstein. Divided into eight mind-bending chapters, This Book Does Not Exist takes you on a journey from the counterintuitive to the downright absurd. On the way it will introduce you to topics such as impossible objects, how to expect the unexpected, and the trouble with time travel. This is a book that will change the way you think.

    This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them.

    Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style. Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics. Ten major topics — profusely illustrated — include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party Problems, Digraphs and Mathematical Models, Games and Puzzles, Graphs and Social Psychology, Planar Graphs and Coloring Problems, and Graphs and Other Mathematics. A useful Appendix covers Sets, Relations, Functions, and Proofs, and a section devoted to exercises — with answers, hints, and solutions — is especially valuable to anyone encountering graph theory for the first time. Undergraduate mathematics students at every level, puzzlists, and mathematical hobbyists will find well-organized coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    No way. Not gonna happen.When arrogant jerk Blake Ryan walks into my favorite coffee bar looking for a fight, I know I’m in trouble. But he picks the wrong girl on the wrong morning.As it turns out, standing up to Mr. Grumpy-Pants is really hard to do while looking into those intense brown eyes. He’s got the angry smolder down I’ll give him that. He also has the bulging biceps, steel cut abs, and full lips.Only standing up to him backfires on me spectacularly when it turns out he’s one of those secret undercover bosses. After we tangle, he bans me from the coffee shop. My favorite coffee shop. Permanently. I decide not to go down without a fight, or a scene as the case may be. Then he does the last thing I expect and gives me a job. Or is it more of a challenge?I know I shouldn’t take it, but my choices are banishment or a six-figure job. I can deal with the long days and impossible workload as long as I don’t try to look into those sexy brown eyes.I can’t give in to my smoking hot new boss. No matter how many late nights I work or how tempting his full lips are or how adorable he is with his niece. He’s not the relationship type. And I’m not into getting my heart broken.Fall For You is an enemies to lovers romantic comedy with humor, steam, and lots of HEA.

    What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

    A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately.Finding a perfect analogy in the situation of the geometrical characters in Flatland, Professor Rucker continues the adventures of the two-dimensional world visited by a three-dimensional being to explain our three-dimensional world in terms of the fourth dimension. Following this adventure into the fourth dimension, the author discusses non-Euclidean geometry, curved space, time as a higher dimension, special relativity, time travel, and the shape of space-time. The mathematics is sound throughout, but the casual reader may skip those few sections that seem too purely mathematical and still follow the line of argument. Readable and interesting in itself, the annotated bibliography is a valuable guide to further study.Professor Rucker teaches mathematics at the State University of New York in Geneseo. Students and laymen will find his discussion to be unusually stimulating. Experienced mathematicians and physicists will find a great deal of original material here and many unexpected novelties. Annotated bibliography. 44 problems.

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    Written by two of the best-known names in categorical logic, Conceptual Mathematics is the first book to apply categories to the most elementary mathematics. It thus serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.

    This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.