Download Free Algebras, Rings and Modules Non-commutative Algebras and Rings Author Michiel Hazewinkel and Nadiya Gubareni

CONTENTS Preface v 1. Preliminaries 1 1.1 Basic Concepts Concerning Rings and Modules 1 1.2 Categories and Functors 10 1.3 Tensor Product of Modules 15 1.4 Direct and Inverse Limits 17 1.5 Projective, Injective, and Flat Modules 19 1.6 The Functor Tor 23 1.7 The Functor Ext 24 1.8 Hereditary and Semihereditary Rings 26 1.9 Semiperfect and Perfect Rings 28 1.10 Serial and Semidistributive Rings 31 1.11 Classical Rings of Fractions 34 1.12 Quivers of Algebras and Rings 35 2. Basic General Constructions of Groups and Rings 37 2.1 Direct…

The Everything Guide to Calculus 1, a Step By Step Guide to the Basics of Calculus by Greg Hill

Description For DECADES, CALCULUS has struck fear into the hearts of countless high school seniors and first-year college students. The mere thought of mastering the mysteries of the subject has caused far too many people to give up before they even get started. But for those who gain an understanding of it, calculus is a beautiful integration (no pun intended) of all the math topics that lead up to it. Calculus uses arithmetic, algebra, geometry, and trigonometry to develop new and fascinating ideas. The most important thing to do as…