An Elementary Approach to Homological Algebra (Chapman & Hall/Crc Monographs and Surveys in Pure and Applied Mathematics.)

Homological algebra was developed as an area of study almost 50 years ago, and many books on the subject exist. However, few, if any, of these books are written at a level appropriate for students approaching the subject for the first time. An Elementary Approach to Homological Algebra fills that void. Designed to meet the needs of beginning graduate students, it presents the material in a clear, easy-to-understand manner. Complete, detailed proofs make the material easy to follow, numerous worked examples help readers understand the concepts, and an abundance of exercises test and solidify their understanding. Often perceived as dry and abstract, homological algebra nonetheless has important applications in many important areas. The author highlights some of these, particularly several related to group theoretic problems, in the concluding chapter. Beyond making classical homological algebra accessible to students, the author's level of detail, while not exhaustive, also makes the book useful for self-study and as a reference for researchers.

homological Algebra Was Developed As An Area Of Study Almost 50 Years Ago, And Many Books On The Subject Exist. However, Few, If Any, Of These Books Are Written At A Level Appropriate For Students Approaching The Subject For The First Time.

an Elementary Approach To Homological Algebra Fills That Void. Designed To Meet The Needs Of Beginning Graduate Students, It Presents The Material In A Clear, Easy-to-understand Manner. Complete, Detailed Proofs Make The Material Easy To Follow, Numerous Worked Examples Help Readers Understand The Concepts, And An Abundance Of Exercises Test And Solidify Their Understanding.

often Perceived As Dry And Abstract, Homological Algebra Nonetheless Has Important Applications In Many Important Areas. The Author Highlights Some Of These, Particularly Several Related To Group Theoretic Problems, In The Concluding Chapter. Beyond Making Classical Homological Algebra Accessible To Students, The Author's Level Of Detail, While Not Exhaustive, Also Makes The Book Useful For Self-study And As A Reference For Researchers.

Often perceived as dry and abstract, homological algebra nonetheless has important applications in a number of important areas, including ring theory, group theory, representation theory, and algebraic topology and geometry. Although the area of study developed almost 50 years ago, a textbook at this level has never before been available. An Elementary Approach to Homological Algebra fills that void. Designed to meet the needs of beginning graduate students, the author presents the material in a clear, easy-to-understand manner with many examples and exercises. The book's level of detail, while not exhaustive, also makes it useful for self-study and as a reference for researchers. "Designed to meet the needs of beginning graduate students, it presents the material in a clear, easy-to-understand manner. Complete, detailed proofs make the material easy to follow, numerous worked examples help readers understand the concepts, and an abundance of exercises test and solidify their understanding."--Jacket This chapter is preparatory in nature and we give some results on modules.