Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    Real-life cases and situations demonstrate the significance of ethics in the world of criminal justice today for those studying or contemplating a career in criminal justice.

    With a clever mix of popular culture, everyday life, and extensive student activities, The Real World fully realizes sociology's unique ability to stimulate students intellectually as well as resonate with them personally.

    This guidebook is aimed clearly at the needs of the student, with a thorough understanding of, and provision for, the potential conceptual difficulties he or she is likely to encounter.

    Its unique approach communicates the richness and diversity of CIS in a lucid and accessible format. This fully revised and updated second edition reinforces the view of CIS as a gateway to science and problem solving, sets out the scientific principles that govern its use, and describes the impact of people on its development, design, and success. The second edition of Geographic Information Systems and Science includes:A new five-part structure: Foundations; Principles; Techniques; Analysis; and Management and Policy.All-new personality boxes of current GIS practitioners.New real-world applications of GIS.New or expanded coverage of important current topics:Location-based servicesDistributed computingVirtual and augmented realitiesHomeland securityBusiness GIS and geodemographicsThe emergence of geoportalsGrand challenges of GIScienceA new suite of instructor and student resources http://www.wiley.com/go/longleyThe second edition of Geographic Information Systems and Science is essential reading for undergraduates taking courses in GIS within departments of Geography, Environmental Science, Business (and Public) Administration, Computer Science, Urban Studies, Planning, Information Science, Civil Engineering, and Archaeology. It is also provides a key resource for foundation GIS courses on taught MSc and other higher-degree programs. Professional users of GIS from governmental organizations and industries across the private sector will find this book an invaluable resource with a wealth of relevant applications.

    In 2007, Janet Belsky's "Experiencing the Lifespan" was published to widespread instructor and student acclaim, ultimately winning the 2008 Textbook Excellence Award from the Text and Academic Authors Association. Now that breakthrough text returns in a rigorously updated edition that explores the lifespan by combining the latest research with a practicing psychologist's understanding of people, and a teacher's understanding of students and classroom dynamics. And again, all of this in the right number of pages to fit comfortably in a single term course.

    The Text Was Designed To Familiarize Students With The Foundations And Principles Of Computer Science And To Strengthen The Students' Ability To Carry Out Formal And Rigorous Mathematical Arguments. In The New Fourth Edition, Author Peter Linz Has Offered A Straightforward, Uncomplicated Treatment Of Formal Languages And Automata And Avoids Excessive Mathematical Detail So That Students May Focus On And Understand The Underlying Principles. In An Effort To Further The Accessibility And Comprehension Of The Text, The Author Has Added New Illustrative Examples Throughout.

    " "" Practical and comprehensive, "Foundations of Addiction Counseling "explores an array of techniques and skills that a new practitioner will need in the real world while providing a thorough review of the research, theory, and history of addiction counseling. With chapters written by expert scholars, this text covers many topics in-depth often ignored by other comparable books, such as professional issues in addictions counseling, the assessment of client strengths, gender issues in substance abuse, working in rehabilitation centers, and working with clients with disabilities. The second edition of this unique text offers prospective counselors the tools and strategies they will need for working with general and special populations, including assessment tools, strategies for outpatient and inpatient treatment, information about maintenance and relapse prevention, and counseling strategies for couples, families, children, adolescents, college students, and recovering addicts. The revised edition includes expanded discussions on a number of topics, new case studies, and completely updated resources and web references.

    Aimed at undergraduate/MBA-level courses in business ethics in the departments of philosophy or business, this comprehensive text provides a balanced and up-to-date treatment of some of the most prominent issues of business ethics.

    Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.

    The God series fully reveals what Pythagoras meant. Mathematics - built from numbers - is not an abstraction but is ontological: it actually exists. Numbers are real things. Specifically, they are the frequencies of energy waves. (Moreover, energy waves are simply sinusoidal waves: sines and cosines, meaning that the study of energy is the study of sinusoids). There are infinite energy waves, hence infinite numbers. No numbers are privileged over any others, so negative and imaginary numbers are as ontologically important as real numbers (upon which science is exclusively based).Real numbers correspond to space and imaginary numbers to time. Negative numbers are "antimatter": a mirror image universe.The two most powerful numbers of all - and the ultimate basis of Illuminist thinking - are zero and infinity, which are harnessed together ontologically (opposite sides of the same coin, so to speak). The existence of zero and infinity is vehemently denied by the ideology of scientific materialism. In Illuminism, these two numbers not only exist, they are the "God" numbers: the origin of all other numbers. Zero and infinity comprise the Big Bang Singularity itself from which an infinitely large universe emerged: "everything" literally came from "nothing".Moreover, zero is also the "monad" of Leibniz (an Illuminati Grand Master). It is therefore the number of THE SOUL, and it has INFINITE capacity. Being dimensionless - a mathematical point - the soul is outside the dimensional, material domain of space and time, hence the soul is indestructible, immortal and cannot be detected by any conventional scientific experiment.What we are describing are the necessary, analytic, eternal truths of mathematics - they have no connection with Abrahamic religious faith. There is NO Creator God but, astoundingly, each soul is capable of being promoted to God status, just as the pawn in chess can become the most important chess piece, the Queen, if it reaches the other side of the battlefield (the board). In Illuminism, if you reach gnosis - enlightenment - you become God.Mathematics is literally everything. Unlike science, mathematics offers certainty: 100% true and incontestable knowledge. Mathematics unifies science, religion and metaphysics. Mathematics is the true Grand Unified Theory of Everything that science pursues so futilely. Science can never deliver truth and certainty because it is inherently a succession of provisional theories, any of which can be overturned at any time by new experimental data. Science is based on ideas of validation and falsification. Mathematics is based on absolute analytic and unarguable certainty. No experiment can ever contradict a mathematical truth.Mathematics is the ONLY answer to everything. Mathematics is the ONLY subject inherently about eternal, Platonic truth. As soon as existence is understood to be nothing but ontological mathematics, all questions are ipso facto answered.The God series, starting with The God Game, reveals the astonishing power of ontological mathematics to account for everything, including things such as free will, irrationalism, emotion, consciousness and qualia, which seem to have no connection with mathematics.Read the God series and you will become a convert to the world's only rational religion - Illuminism, the Pythagorean religion of mathematics that infallibly explains all things and guarantees everyone a soul that is not only eternal but also has the capacity to make of each of us a true God.Isn't it time to become Illuminated?

    In this pocket version of his bestselling Life Without Diabetes, Professor Roy Taylor offers a brilliantly concise explanation of what happens to us when we get type 2 and how we can escape it.Taylor's research has demonstrated that type 2 is caused by just one factor - too much internal fat in the liver and pancreas - and that to reverse it you need to strip this harmful internal fat out with rapid weight loss.In simple, accessible language, Taylor takes you through the three steps of his clinically proven Newcastle weight loss plan and shows how to incorporate the programme into your life.Complete with FAQs and inspirational tips from his trial participants, this is an essential read for anyone who has been given a diagnosis of type 2 diabetes or pre-diabetes and wants to understand their condition and transform their outcomes.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    Praised for providing an engaging balance of thoughtful examples and explanatory discussion, ?best-selling author Walter Savitch explains concepts and techniques in a straightforward style using understandable language and code enhanced by a suite of pedagogical tools.? "Absolute Java "is appropriate for both introductory and intermediate programming courses introducing Java.

    Because of this balance, the Seventh Edition of Microbiology is appropriate for microbiology majors and mixed majors courses. The new authors have focused on readability, artwork, and the integration of several key themes (including evolution, ecology and diversity) throughout the text, making an already superior text even better.