To a master alchemist like Addie, impossible is just another word for challenge. When a fiery explosion destroys the Alchemica, the premier alchemy institute in the United States, she's left with nothing. No home, no colleagues, and no memory. Learning what happened seems impossible, but she still has one strength, and in her opinion, it's the only one she needs. She hasn't forgotten a thing about alchemy.Addie brews a potion to restore her lost past, but remembers only the flames of the Alchemica's destruction-and a man among the ashes. A man with the elemental power of fire, who just happens to be the leader of the magical community. He might know what happened, but getting him to tell her will require some...creativity. The magical aren't fond of alchemists. Some say it borders on hatred, but Addie isn't one to back down from a challenge, even if that challenge happens to be a man who can turn her to ash with a thought.

The Code of Federal Regulations is the codification of the general and permanent rules published in the Federal Register by the executive departments and agencies of the Federal Government.

The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. The book is designed for self-study, with many results presented as exercises and some supplemented by outlines for solution. The intended audience includes in-service and prospective secondary mathematics teachers, high school students eager to go beyond the standard curriculum, undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject.

Many critics and fans refer to the 1990s as the decade that horror forgot, with few notable entries in the genre. Yet horror went mainstream in the '90s by speaking to the anxieties of American youth during one of the country's most prosperous eras. No longer were films made on low budgets and dependent on devotees for success. Horror found its way onto magazine covers, fashion ads and CD soundtrack covers. "Girl power" feminism and a growing distaste for consumerism defined an audience that both embraced and rejected the commercial appeal of these films. This in-depth study examines the youth subculture and politics of the era, focusing on such films as Buffy the Vampire Slayer (1992), Scream (1996), I Know What You Did Last Summer (1997), Idle Hands (1999) and Cherry Falls (2000).

An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.