This translation of the 1987 German edition is an introduction into the classical parts of algebra with a focus on fields and Galois theory. It... discusses nonstandard topics, such as the transcendence of pi, and new concepts are defined in the framework of the development of carefully selected problems. It includes an appendix with exercises and notes on the previous parts of the book, and brief historical comments are scattered throughout.

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers... with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen Theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What’s more, the book contains some lesser known or nontraditional results – for instance, Tsen's results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates.

This text, written by best-selling developmental mathematics author Pat McKeague, features a more streamlined review of elementary algebra, allowing for... earlier coverage of intermediate topics. An early introduction to graphing presents the foundation for a wide variety of graphing problems throughout the text. Early coverage of functions helps students feel comfortable with the many examples and graphs of functions that occur in later chapters. The first ten chapters of this book cove the topics usually found in a college-level algebra course. The last three chapters cover the essential topics from trigonometry. Optional technology sections and integrated throughout text as a way for students to better understand the material being discussed.

For decades, a great number of Americans saw Alger Hiss as an innocent victim of McCarthyism--a distinguished diplomat railroaded by an ambitious... Richard Nixon. And even as the case against Hiss grew over time, his dignified demeanor helped create an aura of innocence that outshone the facts in many minds. Now G. Edward White deftly draws together the countless details of Hiss's life--from his upper middle-class childhood in Baltimore and his brilliant success at Harvard to his later career as a self-made martyr to McCarthyism--to paint a fascinating portrait of a man whose life was devoted to perpetuating a lie. White catalogs the evidence that proved Hiss's guilt, from Whittaker Chambers's famous testimony, to copies of State Department documents typed on Hiss's typewriter, to Allen Weinstein's groundbreaking investigation in the 1970s. The author then explores the central conundrums of Hiss's life: Why did this talented lawyer become a Communist and a Soviet spy? Why did he devote so much of his life to an extensive public campaign to deny his espionage? And how, without producing any new evidence, did he convince many people that he was innocent? White offers a compelling analysis of Hiss's behavior in the face of growing evidence of his guilt, revealing how this behavior fit into an ongoing pattern of denial and duplicity in his life. The story of Alger Hiss is in part a reflection of Cold War America--a time of ideological passions, partisan battles, and secret lives. It is also a story that transcends a particular historical era--a story about individuals who choose to engage in espionage for foreign powers and the secret worlds they choose to conceal. In White's skilled hands, the life of Alger Hiss comes to illuminate both of those themes.