An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics)
This undergraduate textbook is meant essentially for a transition direction into greater arithmetic, even though it is written with a broader viewers in mind. the center and soul of this ebook is challenge fixing, the place each one challenge is punctiliously selected to explain an idea, display a strategy, or to enthuse. The workouts require particularly huge arguments, inventive methods, or either, hence delivering motivation for the reader. With a unified method of a various number of issues, this article issues out connections, similarities, and changes between topics every time possible. This e-book exhibits scholars that arithmetic is a colourful and dynamic human firm by means of together with old views and notes at the giants of arithmetic, via stating present task within the mathematical neighborhood, and by means of discussing many recognized and not more famous questions that stay open for destiny mathematicians.
Ideally, this article may be used for a semester direction, the place the 1st path has no necessities and the second one is a more difficult path for math majors; but, the versatile constitution of the publication permits it for use in numerous settings, together with as a resource of assorted independent-study and study projects.