Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    Machine learning provides these, developing methods that can automatically detect patterns in data and then use the uncovered patterns to predict future data. This textbook offers a comprehensive and self-contained introduction to the field of machine learning, based on a unified, probabilistic approach.The coverage combines breadth and depth, offering necessary background material on such topics as probability, optimization, and linear algebra as well as discussion of recent developments in the field, including conditional random fields, L1 regularization, and deep learning. The book is written in an informal, accessible style, complete with pseudo-code for the most important algorithms. All topics are copiously illustrated with color images and worked examples drawn from such application domains as biology, text processing, computer vision, and robotics. Rather than providing a cookbook of different heuristic methods, the book stresses a principled model-based approach, often using the language of graphical models to specify models in a concise and intuitive way. Almost all the models described have been implemented in a MATLAB software package—PMTK (probabilistic modeling toolkit)—that is freely available online. The book is suitable for upper-level undergraduates with an introductory-level college math background and beginning graduate students.

    BROWN BOARDS WITH GOLD GILTING.

    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

    

    Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional: It serves as an introduction to the more practical aspects of both conventional and public-key cryptographyIt is a valuable source of the latest techniques and algorithms for the serious practitionerIt provides an integrated treatment of the field, while still presenting each major topic as a self-contained unitIt provides a mathematical treatment to accompany practical discussionsIt contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussedNow in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.

    Readerswill find information on frequency distributions; mean, median, and mode; range, variance, and standard deviation;probability; and more.-Emphasizes Microsoft Excel for number-crunching and computationsDownload a sample chapter.

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    Maybe the topic of how to please your husband in bed would have been too awkward a conversation, or perhaps talking about the emotional needs of a man was beyond his comfort level to share. Whatever the reason, your good old Dad probably never told you the ugly truth about what men want from women. But today that's all going to change.If you're clueless when it comes to understanding men in relationships or if you want to know what men want from women, this book is going to fill in the gaps of knowledge where your Dad might have failed to do so.Find Out Exactly What Men Want and Think About Women and RelationshipsIf you feel powerless when it comes to dating and relating to men, then you probably just don't understand what a good man really wants from a woman. The type of guys that make phenomenal boyfriends and spectacular husbands are rare, and their needs are quite different from average men.The problem with a lot of relationship advice books is that they give general advice to women about understanding men. The purpose of this book however, is to help women to understand not just any man, but high-quality, mature, masculine men. These are the men that prefer to be with high-quality, mature, feminine women. And these are the men that prefer a passionate, fun, committed relationship with a phenomenal woman instead of a one-night-stand.Become the Woman Men Adore and Never Want to LeaveIf you're interested in learning how to be a good wife or girlfriend to a high-quality man, this book will help you to understand what men really want from women. Even if you're trying to find Mr. Right, you're going to get an all-access pass into the minds of these kinds of men so that you can figure out how to please a man and keep him hooked on you...for good.You'll get an insider's look into what high-quality men want and think about women and relationships. But most importantly, you'll learn how to influence the man of your dreams because you'll know exactly what makes him tick.Here's what you're going to learn inside, 101 Things Your Dad Never Told You About Men:Find out how to find the RIGHT guy and keep him hooked on you. You'll discover the best way to go about finding Mr. Right to avoid unnecessary heartache.How to get a guy to like you by using your irresistible feminine influence over him.Insights into what men want in relationships so that you can better please your man and keep him happy (and loyal).How to make your husband (or future husband) happy and some key insights into what will make him more attentive to you.Discover how to make a man fall in love with you by getting him to open up emotionally. (Hint: He actually knows that if you can get in his heart, he's all yours)Learn how to keep a good man addicted to you so that your relationship continues to evolve to the next level.Tips on how to make him fantasize about you by making him feel as if you're the only woman in the world worth his time and attention.How to be a good girlfriend to a phenomenal guy and make him take things to the next level all on his own.And much, much more...Would You Like to Know More?Get started right away and learn how to make a man fall in love with you for keeps by becoming the only woman that truly "gets him."Scroll to the top of the page and select the 'buy button' now.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    Distinguishing agents (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as beautiful and interesting. From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation.Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.

    Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of HanoiUsing real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.

    Whether you love numbers, want to love numbers, or just love to laugh and learn about the wonderful world in which we live, this book is for you.For 15 years Adam Spencer has been entertaining us. On triple j and ABC radio and television, he’s established himself as Australia’s funniest and most famous mathematician. And now, by popular demand, we have his Big Book of Numbers, a fascinating journey from 1 to 100.Praise for Adam Spencer’s Big Book of Numbers‘If you find this book boring, you should be in a clinic.’ John Cleese‘Funny yet with hidden depths, like its author. A brilliant introduction to the world of numbers.’ Brian Cox‘Even the page numbers will start to look fascinating once you’ve read this book!’ Amanda Keller‘This book will bring out the inner geek in anyone who knows how to count to 100.’ Brian Schmidt, Winner, 2011 Nobel Prize in Physics

    It offers a comprehensive and accessible treatment of the theory of algorithms and complexity—the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. The book is self-contained in that it develops all necessary mathematical prerequisites from such diverse fields such as computability, logic, number theory and probability.

    After introducing the basic concepts, the book examines techniques for modeling probability density functions and the properties and merits of the multi-layerperceptron and radial basis function network models. Also covered are various forms of error functions, principal algorithms for error function minimalization, learning and generalization in neural networks, and Bayesian techniques and their applications. Designed as a text, with over 100exercises, this fully up-to-date work will benefit anyone involved in the fields of neural computation and pattern recognition.