The theory of equations is not only a necessity in the subsequent mathematical courses and their applications, but furnishes an illuminating sequel to geometry, algebra and analytic geometry. Moreover, it develops anew and in greater detail various fundamental ideas of calculus for the simple, but important, case of polynomials. The theory of equations therefore affords a useful supplement to differential calculus whether taken subsequently or simultaneously.
It was to meet the numerous needs of the student in regard to his earlier and future mathematical courses that the present book was planned with great care and after wide consultation. It differs essentially from the author’s Elementary Theory of Equations, both in regard to omissions and additions, and since it is addressed to younger students and may be used parallel with a course in differential calculus. Simpler and more detailed proofs are now employed. The exercises are simpler, more numerous, of greater variety, and involve more practical applications.More info →
The Troll Garden is a collection of short stories by Willa Cather, published in 1905. This collection contains the following seven stories: "Flavia and Her Artists" "The Sculptor's Funeral" "A Death in the Desert" "The Garden Lodge" "The Marriage of Phaedra" "A Wagner Matinee" "Paul's Case."More info →
This is a collection of ten Christmas Stories, some of which have been published before. I have added a little essay, written on the occasion of the first Christmas celebrated by the King of Italy in Rome.More info →
Trigonometry (from "trigwnon", triangle, and "metrew") is the science of the numerical relations between the sides and angles of triangles.
This Treatise is intended to demonstrate, to those who have learned the principal propositions in the first six books of Euclid, so much of Trigonometry as was originally implied in the term, that is, how from given values of some of the sides and angles of a triangle to calculate, in the most convenient way, all the others. A few propositions supplementary to Euclid are premised as introductory to the propositions of Trigonometry as usually understood.More info →
Travelling to new and interesting countries has always attracted people. It’s like a part of routine. People work for some time and then they travel during their holidays. The choice of a place depends on their interests and wishes, on their finances and the length of the holidays. The fact that people travel to other places has many reasons.More info →
Plato (428/427-348/347 BCE) was a Greek philosopher and mathematician of the Classic Age who founded the Academy of Athens. Noted as a student of Socrates, Plato has distinguished himself as one of the founders of Western philosophy by recording the teachings of his master and his own philosophies in 35 dialogues and 13 letters.More info →