The general approach of this book to logic remains the same as in earlier editions. Following Aristotle, we regard logic from two different points of view: on the one hand, logic is an instrument or organon for appraising the correctness of reasoning; on the other hand, the principles and methods of logic used as organon are interesting and important topics to be themselves systematically investigated.

    Drawing from Scientific American's "Fact or Fiction" and "Strange But True" columns, we've selected fifty-eight of the most surprising, fascinating, useful, and just plain wacky topics confronted by our writers over the years.

    This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

    The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.

    Jack Spielvogel's engaging, chronological narrative weaves the political, economic, social, religious, intellectual, cultural, and military aspects of history into a gripping story that is as memorable as it is instructive. Each chapter offers a substantial introduction and conclusion, providing students a context for these disparate themes. The clear narrative of a single gifted author makes it easy for students to follow the story of Western civilization. Spielvogel gives the book depth by including over 150 maps and excerpts of over 200 primary sources--including official documents, poems, and songs--that enliven the past while introducing students to source material that forms the basis of historical scholarship. Available in many split options: WESTERN CIVILIZATION, Comprehensive, 6th Edition (Chapters 1-29), ISBN: 0534646026; WESTERN CIVILIZATION, Volume I, To 1715, 6th Edition (Chapters 1-16), ISBN:0534646034; WESTERN CIVILIZATION, Volume II, Since 1500, 6th Edition (Chapters 13-29), ISBN:0534646042; WESTERN CIVILIZATION, Volume A: To 1500, 6th Edition (Chapters 1-12), ISBN: 0534646050; WESTERN CIVILIZATION, Volume B: 1300-1815, 6th Edition (Chapters 11-19), ISBN:0534646069; WESTERN CIVILIZATION, Volume C: Since 1789, 6th Edition (Chapters 19-29), ISBN: 0534646077; WESTERN CIVILIZATION, Since 1300, 6th Edition (Chapters 11-29), ISBN:0534646085.

    Packed with math activities and puzzles, compelling stories of math geniuses, math facts and stats, and more, How to be a Math Genius makes the dreaded subject of math both engaging and relevant.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    Includes expert coverage of new topics: Turbocodes, Turboequalization, Antenna Arrays, Digital Cellular Systems, and Iterative Detection. Convenient, sequential organization begins with a look at the historyo and classification of channel models and builds from there.

    This simple way to manage your household income and expenses includes a stylish cover, coin purse, places for your checkbook and check register, memo pad, debit card holders, and extra cash-management envelopes.

    In simple rhymes, Tang explains the fundamentals of how each number from 1 to 10 works. His poem "Four Eyes," for example, explains how any number multiplied by four can be merely doubled twice: "Four is very fast to do, when you multiply by 2. Here's a little good advice -- please just always double twice!" He then goes on to explain: "What is 4x4? It's 4 doubled twice. Double once: 4+4=8. Double twice: 8+8=16," and he even provides extra challenge questions below. All of his poems and problems are just as easy (e.g., a number times 6 is tripled, then doubled; a number times 9 is multiplied by 10, then subtracted once), and the book is rounded out with full practice tables in the back.Tang provides children with an excellent lesson, helping them make sense of daunting math without a bombardment of complicated rules. Kids will cheer his winsome presentation, which is wonderfully complemented by Harry Brigg's computer illustrations of animals cavorting around and having fun. Both practical and pleasing, The Best of Times is math that'll help make homework and tests a breeze. Matt Warner

    Students will receive a grounding in areas that vary from treatment to organizational and community settings. This edition also includes of new case studies, practice examples and guiding principles.

    This work focuses on the maths skills necessary to pass the GMAT, with nearly 300 questions and explanations on subjects such as arithmetic, algebra, geometry and data sufficiency.

    The thirty-five chapters describe the life of a Roman family in the 2nd century A.D., and culminate in readings from classical poets and Donatus's Ars Grammatica, the standard Latin school text for a millenium. Each chapter is divided into two or three lectiones (lessons) of a couple pages each followed by a grammar section, Grammatica Latina, and three exercises or Pensa. Hans Ørberg's impeccable latinity, humorous stories, and the Peer Lauritzen illustrations make this work a classic. The book includes a table of inflections, a Roman calendar, and a word index, Index vocabulorum.

    The most thorough and well-written text in the field, Family Therapy: History, Theory, and Practice, now in its fourth edition, is a comprehensive and developmental textbook that covers all aspects of working with families. The author begins by helping students understand the differences between functional and dysfunctional families, then goes onto explain the basic processes involved in treating couples and families before it delves into a dozen theoretical ways of treating families. Readers will also learn about the history of family therapy, multicultural aspects of family therapy, ways of working with various types of families, ethical and legal issues involved in family therapy, and ways of assessing families. 250 new sources; a new chapter on how to work with couples and marriages in enriching and therapeutic ways; more on diversity issues including working with different forms of European American families, and expanded coverage of working with African-American, Native American Indian, Hispanic/Latino, and Asian-American families; an added section on dealing with infidelity in the addiction/abuse chapter; coverage of transition issues including working with military deployment or extended work assignments; and more information on managed care issues.

    With it has come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has led to the development of new tools in the field of statistics, and spawned new areas such as data mining, machine learning, and bioinformatics. Many of these tools have common underpinnings but are often expressed with different terminology. This book describes the important ideas in these areas in a common conceptual framework. While the approach is statistical, the emphasis is on concepts rather than mathematics. Many examples are given, with a liberal use of color graphics. It should be a valuable resource for statisticians and anyone interested in data mining in science or industry. The book's coverage is broad, from supervised learning (prediction) to unsupervised learning. The many topics include neural networks, support vector machines, classification trees and boosting—the first comprehensive treatment of this topic in any book. Trevor Hastie, Robert Tibshirani, and Jerome Friedman are professors of statistics at Stanford University. They are prominent researchers in this area: Hastie and Tibshirani developed generalized additive models and wrote a popular book of that title. Hastie wrote much of the statistical modeling software in S-PLUS and invented principal curves and surfaces. Tibshirani proposed the Lasso and is co-author of the very successful An Introduction to the Bootstrap. Friedman is the co-inventor of many data-mining tools including CART, MARS, and projection pursuit.