Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced topics, this edition continues to cover general, linear, first-, second-, and n-th order difference equations; nonlinear equations that may be reduced to linear equations; and partial difference equations.New to the Third Edition New chapter on special topics, including discrete Cauchy–Euler equations; gamma, beta, and digamma functions; Lambert W-function; Euler polynomials; functional equations; and exact discretizations of differential equationsNew chapter on the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences Additional problems in all chaptersExpanded bibliography to include recently published texts related to the subject of difference equationsSuitable for self-study or as the main text for courses on difference equations, this book helps readers understand the fundamental concepts and procedures of difference equations. It uses an informal presentation style, avoiding the minutia of detailed proofs and formal explanations.
Racism in America is most-commonly studied as white racism against minority groups (racial, gender, cultural). Often overlooked in this area of study is the discrimination that exists within minority groups. Through a detailed historical and sociological analysis, the author breaks down these pernicious, complex, and often misunderstood forms of skin color discrimination: their origins and their manifestations in modern world. Shedding new light on these sensitive issues, this volume will allow them to come to the forefront of academic research and open dialogue. This comprehensive work will include coverage of skin color discrimination within racial, ethnic, sexual, and gender minority groups, and their particular forms and consequences. An Historical Analysis of Skin Color will be an important work for researchers studying the Sociology of Race and Racism, Gender Studies, LGBT Studies, Immigration, or Social Work.
What strikes your mind first when you hear about Marijuana? Dangerous Drug Right? Yes? Or No? Well, Marijuana is a very controversial issue with a lot of information being spread around, both for and against it. The truth about marijuana needs to be brought to light so that everyone can decide, with an educated opinion, whether or not the positive effects of marijuana outweigh the negative ones. Between the anti-drug activists, who would utter anything to make marijuana seem as if an evil life-taking drug, and the pro-drug activists, who tend to feel like it is a plant which was sent down from the heaven to save mankind, the actual data and facts can get quite warped and distorted. If used casually marijuana's positive effects outweigh the negative. Yes Marijuana is safe when used cautiously. The American Medical Association has now recognized the medical value of marijuana. Its positive benefits are: -Beautiful visions -An increased appetite for life -Compassion -Treating respiratory allergies -To help a person have an emotional or mental breakthrough -And many more We are offering you an amazing eBook "What Makes Cannabis Recipes Work". In these health-consciousness days, many people are giving up smoking. That's where this book in. These recipes are so delicious that nothing will get wasted except your dinner guests. This is not just "some book". In fact, there isn't any book like this out there available. * It is NOT about rehashed or outdated recipes. * It is NOT some fancy photo book with nothing but ad-filled crap. * It is NOT some confusing, babbling, rambling Tetra-Hydro botany speak you won't understand. * It is NOT any other poorly put together book that after completing leaves the reader in the dark on many other issues and with so much more to be desired. The book is full of delicious recipes that come with detailed descriptions about the preparation process. This book reveals the process for creating the essential ingredients necessary for marijuana infusion into foods such as Cannabutter, Ghee, Cannabis Tar and Cannabis Cooking Brandy. Don't wait Grab this book NOW and take your health to a next level
The book Basic Savings and Checking Account Guidance (For Teens and Young Adults) is designed specifically for the younger generation that grew up in U.S. households with parents that did not set good financial management lifestyles for them. The practical knowledge provided here is a realistic tool for understanding money management that points independent young people in the right financial direction. This targeted financial advice explains savings and checking accounts in clear, logical sequence with a simple emphasis on truly understanding needed financial decisions. It outlines the outcomes that could result if someone continues exercising misdirected, impulsive, or uneducated monetary decisions. This book provides a common sense, intuitive roadmap for putting together a sound financial future. Teens and Young Adults will learn how checking and savings accounts are established, maintained and factor into financial decisions. They will understand the differences between various financial institutions and the multiple financial instruments banks and credit unions have available to them. They will be taught how to manage and protect their debit cards, checks, savings accounts, and ATM transactions. They will be guided down the path that will allow them to live virtually debt free and survive comfortably in a financial world they presently have little or no experience in. If you recently left home or are about to be out on your own; there is a need for this sound, reliable and tested financial advice on how to establish and maintain your basic banking needs. When you face and need to make sound financial savings and checking choices in the real world, this book is the tool needed for your basic monetary transition into adult life.
