Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Groebner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory and its applications to polynomial equations and geometric constructions are treated in depth. Those interested in computations will appreciate the novel treatment of division algorithms. This rigorous text 'gets to the point', focusing on concisely demonstrating the concept at hand, taking a 'definitions first, examples next' approach. Exercises reinforce the main ideas of the text and encourage students' creativity.

GOING PRO answers your questions and stimulates your thinking when a top-rated high school baseball player is deciding whether to turn professional after graduation instead of playing college ball first. Here you will find dozens of pages that address this dilemma along with a statistical analysis focused only on high school baseball players turning professional. Details on signing bonuses and salary along with other financial considerations including MLB-paid college scholarships. Find out how many high school players were drafted in 2012 and 2013, and more importantly who signed and for how much. Information on minor leagues is provided, including an entire appendix devoted to them, as well as the Indies and the foreign baseball leagues. Finally, the rules on banned substances and prohibited activities are provided.

College Baseball Recruiting provides the high school baseball player and his parents with valuable information on college recruiting, scholarships, letters of intent, eligibility (initial and continuing), amateurism, transfers and much more. College Baseball Recruiting explains clearly the rules that apply if you play college baseball for a school that competes in the NCAA (distinguishing D1, D2 and D3) or in the NAIA, or at a junior college competing in the NJCAA. Also addressed are the unique rules for junior colleges located in California and competing in the CCCAA or located in Oregon and Washington and competing in the NWCAA. No other single publication and no single website contain all this information in an easy to read, understand and apply format. Here you will find over three dozen tables and figures that clearly summarize the complex rules of college baseball recruiting. Flow charts walk players and parents through the arcane world of transfers. Success plans are provided for each year in high school. Issues involving letters of intent and limitations on scholarships are simplified. Initial eligibility standards and continuing eligibility requirements are tabulated to allow for comparisons between the different conferences. Learn exactly what substances, including dietary and nutritional supplements, have been banned and where to find even more information. Over 60 specific questions are posed, reflecting real-life concerns voiced by high school baseball players, and answers are provided in easy to understand and apply language. College Baseball Recruiting is the best single source of information for high school baseball players (and their parents) interested in playing baseball in college and provides what you need to reach the next level.