A new approach to abstract algebra that eases student anxieties by building on fundamentals.Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to ...

Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All of the essential topics are covered, such as the fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. New in th...

The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.

An American Psychology-Law Society’s Lawrence S. Wrightsman Book Award WinnerA 2022 PROSE Award finalist in Legal Studies and CriminologyA 2022 American Bar Association Silver Gavel Award FinalistA Behavioral Scientist’s Notable Book of 2021Freakonomics for the law—how applying behavioral science to the law can fundamentally change and explain misbehavior

An American Psychology-Law Society’s Lawrence S. Wrightsman Book Award WinnerA 2022 PROSE Award finalist in Legal Studies and CriminologyA 2022 American Bar Association Silver Gavel Award FinalistA Behavioral Scientist’s Notable Book of 2021Freakonomics for the law—how applying behavioral science to the law can fundamentally change and explain misbehavior

Since the desegregation of public schools in the 1950s, the concept of standards-based reform has become a central topic within educational policy. Every American state is now required to enact standards-based reform policies while shifting responsibility away from the government and holding schools more accountable for their students performance. The Courts and Standards-Based Education Reform positions itself at the center of the long standing dispute between law, education, and...

Educational equality has long been a vital concept in US law and policy. Since Brown v. Board of Education, the concept of educational equality has remained markedly durable and animated major school reform efforts, including desegregation, school finance reform, the education of students with disabilities and English language learners, charter schools, voucher policies, the various iterations of the Elementary and Secondary Education Act (including No Child Left Behind) and the 'Stimulus'...

A Short History of European Law brings to life 2,500 years of legal history, tying current norms to the circumstances of their conception. Tamar Herzog describes how successive legal systems built upon one another, from ancient times through the European Union. Roman law formed the backbone of each configuration, though the way it was used and reshaped varied dramatically from one century and place to the next. Only by considering Continental civil law and English common law toget...

A Short History of European Law brings to life 2,500 years of legal history, tying current norms to the circumstances of their conception. Tamar Herzog describes how successive legal systems built upon one another, from ancient times through the European Union. Roman law formed the backbone of each configuration, though the way it was used and reshaped varied dramatically from one century and place to the next. Only by considering Continental civil law and English common law toget...

The law affects us all, and even your most basic day-to-day choices and actions have legal implications. Yet few people have much knowledge of the law or understand complicated legal terminology – and lawyers’ fees are beyond many people’s reach. This book will provide you with the necessary information on a wide range of legal issues that may impact on your daily life – at work, in the home, on the road, in the marketplace, and in the courtroom.Written by experts specifically for ...

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci’s proof of ...

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which m...