In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

    Learners develop useful and relevant vocabulary while exploring and expanding critical thinking skills.

    He was actively involved in ministry at church, employed by a great company, and to top it all off, he was happily married to Gabrielle, and awaiting the new addition to his family. Gabrielle found the love of her life. From the moment they met, their chemistry was undeniable. But, Blake had to work tirelessly to tear down the wall she had built up against ever loving again, and she was glad he did. They shared a love they attributed only to the grace of God on their lives…a love so rare. When a dramatic turn of events disclosed shocking secrets, everything changed. As their marriage explodes and their lives shift in unexpected directions, both must learn to relinquish control and trust God in order to embrace the future. Life-altering struggles can be the pathway to new beginnings. Will they find the courage to forgive and create a love for all times?

    Now, in this 10th anniversary edition of No Turning Back, the Very Rev. Fr. Donald Calloway, MIC, looks back on the past decade in a new introduction to this Christian classic, a perennially powerful witness to the transforming grace of God and the Blessed Mother's love for her children. His witness proves a key truth of our faith: Between Jesus, the Divine Mercy, and Mary, the Mother of Mercy, there's no reason to give up hope on anyone, no matter how far they are from God.

    It is the most sought-after book for youngsters preparing for various competitive exams ranging from Civil services, Banks, Railways, UPSC and PSC exams and Quiz Competition across the country. It also serves reference purpose covering varied topics besides Science and Medicine, Environment, Literature, Entertainment, History, 1000 Quiz and Sports, policies of government, census reports, election results, economic indicators, art forms, etc. It also features more than 20 articles by people of eminence such as former President APJ Abdul Kalam, Nobel Peace Prize winner Kailash Satyarthi, Philip Min, Dr Valson Thampu and many others. Manorama Yearbook also offers free Concise Britannica Encyclopedia, a set of 4 ebooks, Learner's Dictionary on CD and free online subscription to Britannica Online."

     The author’s story: “Back when I suffered from patellar tendonitis, I thought I was doing everything possible to treat this injury. I was stretching regularly, warming up before games, strengthening my legs, and doing whatever else doctors suggested might help. However, the pain never stopped. Sure, some days were better than others were, but I was still in pain and my athletic performance was severely handicapped. I was frustrated with my lack of progress, and I couldn’t believe that for all the effort and dedication I put into my training, I was being punished with pain that was impossible to get rid of. The worst part was that every time I thought I had made progress, the pain returned. The whole experience was so depressing that I almost quit playing my sport. Today, my knees are completely pain-free. I can play my favorite sports and train exercises that are extremely tough on my knees, such as deep single-leg squats, without having to worry about knee pain. I would have never imagined this to be possible. Today, my legs are stronger than before my injury, and the best part is that I know exactly how I can continue to get them into even better shape without any risk. The reason I struggled with patellar tendonitis for so long wasn’t my fault. I already knew some of the things I had to do, but to beat the odds, I needed to fix a number of hidden causes for patellar tendonitis and learn how to strengthen my weakened knees without reinjuring them. It took 3 years of research and self-experimentation to collect this knowledge, but now it is easily available in this book.” – Martin Koban, Author of Total Knee Health The reason people struggle with healing jumper’s knee is because they’re using an outdated treatment approach that is based on research just as outdated. Your rehab efforts are doomed to fail if you don’t eliminate all hidden causes for patellar tendonitis. These often ignored causes determine how much stress you patellar tendon is subjected to when you’re moving and if you don’t correct them, you will continue to overload your patellar tendon and the injury will simply reappear.Beating Patellar Tendonitis will hand you a proven treatment formula to fix these hidden causes of jumper’s knee and give you the tools you need to stay pain-free for life. The advice in this book is based on 3 years of self-experimentation through trial and error, hundreds of research studies published in academic journals, and the combined knowledge of thought leaders in the fitness industry. You Need to Buy This Book If: You’re an athlete with patellar tendonitis and you want to set new personal records You want to get rid of tendonitis knee pain once and for all You play volleyball, basketball, or any other sport that requires a lot of jumping and you want to stay on top of your competition You’re an athletic trainer and want your clients to stay healthy You’re a doctor and want to learn more ways how you can help your patients beat patellar tendonitis

    Enormously likable and a habitual screw-up, Eric Mercer has settled into a sometimes raucous, underachieving life in his one-stoplight hometown—a life cobbled together from his part-time activities as bartender at the American Legion, assistant mortician, and father to his beloved 5-year-old daughter, Tess. Tess seems to be the main reason smart, talented, twenty-four-year-old Eric is staying in town, though her mom, a centerfold-quality beauty, would have it otherwise. When Jill, the lost love of his life, returns to Pinely in the same week that the town goes nuts in preparation for the high school football team's Big Game, life unexpectedly shifts into high gear, and Eric must blunder his way toward enlightenment—fast. Authentic and refreshingly unpredictable, Small Town Odds is written with an acute sense of place and character reminiscent of Richard Russo.

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.

    But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like nonparametric curve estimation, bootstrapping, and clas- sification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analyzing data. For some time, statistics research was con- ducted in statistics departments while data mining and machine learning re- search was conducted in computer science departments. Statisticians thought that computer scientists were reinventing the wheel. Computer scientists thought that statistical theory didn't apply to their problems. Things are changing. Statisticians now recognize that computer scientists are making novel contributions while computer scientists now recognize the generality of statistical theory and methodology. Clever data mining algo- rithms are more scalable than statisticians ever thought possible. Formal sta- tistical theory is more pervasive than computer scientists had realized.

    John Taylor has brought to his new book, Classical Mechanics, all of the clarity and insight that made his introduction to Error Analysis a best-selling text.

    Topics include: Limits, Derivatives, and Integrations.

    An Introduction to Game Theory, by Martin J. Osborne, presents the main principles of game theory and shows how they can be used to understand economic, social, political, and biological phenomena. The book introduces in an accessible manner the main ideas behind the theory rather than their mathematical expression. All concepts are defined precisely, and logical reasoning is used throughout. The book requires an understanding of basic mathematics but assumes no specific knowledge of economics, political science, or other social or behavioral sciences. Coverage includes the fundamental concepts of strategic games, extensive games with perfect information, and coalitional games; the more advanced subjects of Bayesian games and extensive games with imperfect information; and the topics of repeated games, bargaining theory, evolutionary equilibrium, rationalizability, and maxminimization. The book offers a wide variety of illustrations from the social and behavioral sciences and more than 280 exercises. Each topic features examples that highlight theoretical points and illustrations that demonstrate how the theory may be used. Explaining the key concepts of game theory as simply as possible while maintaining complete precision, An Introduction to Game Theory is ideal for undergraduate and introductory graduate courses in game theory.

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

    Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.