Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it. This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations. Table of Contents: l. The Algebra of Matrices 2. Linear Equations 3. Vector Spaces 4. Determinants 5. Linear Transformations 6. Eigenvalues and Eigenvectors 7. Inner Product Spaces 8. Applications to Differential Equations For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section.

Explores major figures, movements, and ideas that relate to radical German Pietism in the seventeenth and early eighteenth centuries. Also details Pietism's role in the formation of modern religious communities, such as Quakers, Brethren, and precursors to modern United Methodism.

Lions in the Street is a compilation of poems, short stories on education, letters to the editor, unfinished novels, children stories and political and historical essays by the late James Schneider. The writings presented in this book are a compilation on a wide range of topics with an underlying thread of a love for family and children, a desire to improve the society in which we live and need to present an alternative point of view close to that of the common man which has been all, but ignored in the mainstream media.

We propose in this monograph to introduce the reader to some of the basic tools of investigation in the algebraic theory of semigroups and to lead readers through to some recent results in this theory. We will not presuppose more than the usual sophistication of a good first year graduate student in mathematics, and will attempt to make the monograph self contained. We will give basic definitions were necessary although the proofs of some of the easier propositions will be left to the reader.