Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    This title enables students to grasp key sociological concepts and learn the useful lesson that there is much that goes on in the social world that escapes the sociologically untrained eye.

    Topics discussed include solid state physics, radioactivity, statistical physics, cosmology, astrophysics, the Schrodinger equation and more.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    This book explains the technical aspects of hacking, including stack based overflows, heap based overflows, string exploits, return-into-libc, shellcode, and cryptographic attacks on 802.11b.

    By presenting actual experiences and analyzing them as they are described, the author conveys the developmental thought processes employed and shows a style of thinking that leads to successful results is something that can be learned. Along with spectacular successes, the author also conveys how failures contributed to shaping the thought processes. Provides the reader with a style of thinking that will enhance a person's ability to function as a problem-solver of complex technical issues. Consists of a collection of stories about the author's participation in significant discoveries, relating how those discoveries came about and, most importantly, provides analysis about the thought processes and reasoning that took place as the author and his associates progressed through engineering problems.

    This book is about making those encounters as compelling as we can make them." -Harvey "Smokey" Daniels and Steven ZemelmanWe are specialists to the bone-in science, math, social studies, art, music, business, and foreign language. But now, the Common Core and state standards require us to help our students better understand the distinctive texts in our subject areas. "Nobody's making us into reading teachers," write Smokey Daniels and Steve Zemelman, "but we must become teachers of disciplinary thinking through our students' reading."If this shift sounds like a tough one, Subjects Matter, Second Edition is your solution. Smokey and Steve, two of America's most popular educators, share exactly what you need to help students read your nonfiction content closely and strategically: 27 proven teaching strategies that help meet-and exceed-the standards how-to suggestions for engaging kids with content through wide, real-world reading a lively look at using "boring" textbooks motivating instruction that's powered by student collaboration specifics for helping struggling readers succeed.Subjects Matter, Second Edition enables deep, thoughtful learning for your students, while keeping the irreverent, inspiring heart that's made the first edition indispensable. You'll discover fresh and re-energized lessons, completely updated research, and vibrant vignettes from new colleagues and old friends who have as much passion for their subjects as you do."We'll be using methods particular to our fields as well as engaging reading materials that help students understand and remember our content better," write Smokey and Steve. "We can realize that vision of the light going on in kids' heads and maybe fill them with enthusiasm about the amazing subject matter that we have to offer. Sound good? Let's get to work." Read a sample chapter from Subjects Matter, Second Edition.

    Author Charles H. Roth, Jr. carefully presents the theory that is necessary for understanding the fundamental concepts of logic design while not overwhelming students with the mathematics of switching theory. Divided into 20 easy-to-grasp study units, the book covers such fundamental concepts as Boolean algebra, logic gates design, flip-flops, and state machines. By combining flip-flops with networks of logic gates, students will learn to design counters, adders, sequence detectors, and simple digital systems. After covering the basics, this text presents modern design techniques using programmable logic devices and the VHDL hardware description language.

    Enriched with maps, photos, and the most up-to-date world data, this text boasts the collective expertise of four authors with firsthand international business experience, specializing in international management, finance, law, global strategy, and marketing - a claim no other text can make. In addition, each new copy of International Business, 12e includes access to CESIM - an interactive IB simulation developed for industry professionals. Ball, et. al. is the only textbook on the market which features access to CESIM. Only Ball, Geringer, Minor and McNett can offer a complete view of International Business as diverse as the backgrounds of business students.

    Starting with the fundamentals, it describes the most advanced features of the most advanced language: Common Lisp. Only the top percentile of programmers use lisp and if you can understand this book you are in the top percentile of lisp programmers. If you are looking for a dry coding manual that re-hashes common-sense techniques in whatever langue du jour, this book is not for you. This book is about pushing the boundaries of what we know about programming. While this book teaches useful skills that can help solve your programming problems today and now, it has also been designed to be entertaining and inspiring. If you have ever wondered what lisp or even programming itself is really about, this is the book you have been looking for.

    The text's major theme "Changes, Choices, and Constraints" explores: Contemporary "changes "in families and their structure Impacts on the "choices "that are available to family members ""Constraints ""that often limit our choices Through this approach, students are better able to understand what the research and statistics mean "for themselves"! Marriages and Families balances theoretical and empirical discussions with practical examples and applications. It highlights important contemporary changes in society and the family. This text is written from a sociological perspective and incorporates material from other disciplines: history, economics, social work, psychology, law, biology, medicine, family studies, women's studies, and anthropology. "More about the themes: " "Changes"Examines how recent profound structural and attitudinal changes affect family forms, interpersonal relationships, and raising children. It reaches beyond the traditional discussions to explore racial-ethnic families, single-parent families and gay families as well as the recent scholarship by and about men, fathers, and grandfathers. Contemporary American marriages and families vary greatly in structure, dynamics, and cultural heritage. Thus, discussions of gender roles, social class, race, ethnicity, age, and sexual orientation are integrated throughout this book. To further strengthen students understanding of the growing diversity among today's families, the author included a series of boxes that focus on families from many cultures. "Choices"On the individual level, family members have many more choices today than ever before. People feel freer to postpone marriage, to cohabit, or to raise children as single parents. As a result, household forms vary greatly, ranging from commuter marriages to those in which several generations live together under the same roof. "Constraints"Although family members choices are more varied today, we also face greater macro- level constraints. Our options are increasingly limited, for example, by government policies. Economic changes often shape family life and not vice versa. Political and legal institutions also have a major impact on most families in tax laws, welfare reform, and even in defining what a family is. Because laws, public policies, and religious groups affect our everyday lives, the author has framed many discussions of individual choices within the larger picture of the institutional constraints that limit our choices.To learn more about the new edition, click here to visit the showcase site.

    Learn the Alphabet and pronunciation as well as useful phrases in 8 categories, such as greetings, travel and directions, making friends to business and emergencies. Download, read and enjoy your vacation like never before.

    From enthusiasts to those who have just been introduced to the beautiful world of photography, knowing the craft and equipment is essential. This little comprehensive guide for beginners will take you on an amazing journey of discovering how wonderful Digital Photography is and how mesmerizing the art can be. From the advantages of SLR and the importance of shutter speed, to the types of lenses and the significance of good lighting, you will soon be on your journey to capturing the most stunning pictures and a kaleidoscope of dazzling sights to be eternalized. Technology is ever changing and now with Digital Photography, the world can be seen in vivid colors through your art. Begin your journey right here, right now.

    The algorithms you'll use most often as a programmer have already been discovered, tested, and proven. If you want to take a hard pass on Knuth's brilliant but impenetrable theories and the dense multi-page proofs you'll find in most textbooks, this is the book for you. This fully-illustrated and engaging guide makes it easy for you to learn how to use algorithms effectively in your own programs.Grokking Algorithms is a disarming take on a core computer science topic. In it, you'll learn how to apply common algorithms to the practical problems you face in day-to-day life as a programmer. You'll start with problems like sorting and searching. As you build up your skills in thinking algorithmically, you'll tackle more complex concerns such as data compression or artificial intelligence. Whether you're writing business software, video games, mobile apps, or system utilities, you'll learn algorithmic techniques for solving problems that you thought were out of your grasp. For example, you'll be able to:Write a spell checker using graph algorithmsUnderstand how data compression works using Huffman codingIdentify problems that take too long to solve with naive algorithms, and attack them with algorithms that give you an approximate answer insteadEach carefully-presented example includes helpful diagrams and fully-annotated code samples in Python. By the end of this book, you will know some of the most widely applicable algorithms as well as how and when to use them.

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.