This is a beautiful, not so well-known text of the brilliant author I.N. Herstein.

Matrix Theory and Linear Algebra

Science & Math

Herstein, I.N.

Winter, David J.

Mathematics

Macmillan Pub. Co.

Used - Like New: Dust cover is intact, with no nicks or tears. Spine has no signs of creasing. Pages are clean and not marred by notes or folds of any kind. May contain remainder marks on outside edges, which should be noted in listing comments. May include "From the library of" labels.

A Primer on Linear Algebra

Pearson College Div

Matrix Algebra

One purpose of this book is to give a solid but compact account of the theory of Lie algebras over fields of characteristic 0, with emphasis on the basic simplicity of the theory and on new approaches to the major theorems. Another is to give a general and extensive treatment of Cartan and related sub-algebras of Lie algebras over arbitrary fields.  The first two chapters present preliminary material on modules and non-associative algebras. This is followed by a compact self-contained development of the theory of Lie algebras of characteristic 0, covering the following topics: Solvable and nilpotent Lie algebras and the theorems of Lie and Cartan; Cartan subalgebras and Cartan's criteria for solvability and semisimplicity; Levi's radical splitting theorem and the complete reducibility of representations of semisimple Lie algebras; The theory of abstract root systems and the classification of semisimple Lie algebras; The isomorphism theorem for semisimple Lie algebras and their irreducible modules; and automorphisms of Lie algebras and the conjugacy of Cartan subalgebras and Borel subalgebras.  The last chapter develops an extensive theory of Cartan and related subalgebras of Lie algebras over arbitrary fields, covering the following topics: Lie algebras graded by a group; nilpotent Lie algebras and their representations; Engel subalgebras and Fitting subalgebras; Cartan subalgebras; and tori in Lie p-algebras.

Abstract Lie Algebras

Mit Pr

Servius had an uneasy feeling deep within, and it wasn’t due to his expected participation in the impending battle of two powerful Roman armies. His wife, Appia, looked forward to a reunion with her hero husband, yet loved her new-found freedom with friends. Gaius, her father, the Magistrate of Milan, mediated bothersome claims against Christians, and dealt with inept traitorous challenges plaguing him and his family. Their friends, Marcus and Vibia tried to maintain their own good fortune while helping Servius and Appia work through a destructive chain of events. The characters’ choices, both impulsive and innocent, often proved harmful to loved ones. Yet, their intentional and sometimes unwanted help, also built up, and transformed those around them. These dynamics are examined through the lives of the five characters as they encountered one another, and others, on the battlefield; in the baths and villas of Milan; Como; Ilyria, and finally, the new Rome in Byzantium. The challenges facing the characters are juxtaposed against a background of crisis and change in the 4th century Roman Empire. As Constantine, an emperor to be, converted to Christianity, and the persecution of Christians ended, the first instance of state involvement with the church occurred.

The Fall and Rise

Literature & Fiction

Genre Fiction

Aberdeen Bay

Amid a turbulent period of territorial disputes among the ruling class in Western Europe, the Roman Catholic Church calls for these fighting nobles to Crusade in the Holy Land and ensure free access to Jerusalem for Christian pilgrims. The stress of this expensive endeavor, against the tensions of territorial quarrels, tears at an already fragile relationship between the Pope and the bickering monarchs. Underlying this chaotic state of affairs is a culture that places a high value on honor and loyalty which are continually put to the test. Effective leadership is at a premium in a period where Kings and Popes may lack the skills to imbue loyalty among followers. One knight, William Marshal, The Flower of Chivalry, exemplifies the character of true reliability and its fortune. Along with other historical figures such as Richard the Lionhearted, the story features friends and family who are knights errant, Templars, priests, and ladies in waiting faced with these vexing choices. Finally, arising out of the discordant nobility in England, a great charter, the Magna Carta is presented to a recalcitrant King John and Pope Innocent III begins reforms that separate the church from the interfering state.

Commencement of Disharmony

Literary

Champion Writers, Inc.

The Structure of Fields: Graduate Texts in Mathematics 16

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

The Long Fade of Individual Liberty

Independently published

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