Title
Homological Algebra (Pms19), Volume 19 (Princeton Mathematical Series, 37)
Delivery time: 8-12 business days (International)
When This Book Was Written, Methods Of Algebraic Topology Had Caused Revolutions In The World Of Pure Algebra. To Clarify The Advances That Had Been Made, Cartan And Eilenberg Tried To Unify The Fields And To Construct The Framework Of A Fully Fledged Theory. The Invasion Of Algebra Had Occurred On Three Fronts Through The Construction Of Cohomology Theories For Groups, Lie Algebras, And Associative Algebras. This Book Presents A Single Homology (And Also Cohomology) Theory That Embodies All Three; A Large Number Of Results Is Thus Established In A General Framework. Subsequently, Each Of The Three Theories Is Singled Out By A Suitable Specialization, And Its Specific Properties Are Studied.The Starting Point Is The Notion Of A Module Over A Ring. The Primary Operations Are The Tensor Product Of Two Modules And The Groups Of All Homomorphisms Of One Module Into Another. From These, Higher Order Derived Of Operations Are Obtained, Which Enjoy All The Properties Usually Attributed To Homology Theories. This Leads In A Natural Way To The Study Of Functors And Of Their Derived Functors.This Mathematical Masterpiece Will Appeal To All Mathematicians Working In Algebraic Topology.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the main subject of 'Homological Algebra (PMS-19)'? A: 'Homological Algebra (PMS-19)' mainly deals with the unification of algebraic topology methods and their applications in pure algebra, specifically focusing on cohomology theories for groups, Lie algebras, and associative algebras.
- Q: Who is the author of this book? A: The book is authored by Henry Cartan, a prominent mathematician known for his contributions to algebraic topology and homological algebra.
- Q: When was 'Homological Algebra (PMS-19)' published? A: 'Homological Algebra (PMS-19)' was published on June 21, 1956.
- Q: What are the key features of the book? A: The book presents a comprehensive theory of homology and cohomology, discusses modules over rings, tensor products, homomorphisms, and derived functors, all while establishing significant results in a general framework.
- Q: Is this book suitable for beginners in algebraic topology? A: While the book is a mathematical masterpiece, it is designed for readers with a foundational understanding of algebra and topology. Beginners may find it challenging without prior knowledge.
- Q: How many pages does the book contain? A: 'Homological Algebra (PMS-19)' consists of 408 pages, providing an extensive examination of its subject matter.
- Q: What is the condition of the book? A: The book is listed as 'Very Good' condition, indicating it has been well-maintained with minimal signs of wear.
- Q: What type of binding does the book have? A: The book is available in hardcover binding, which offers durability and a professional appearance.
- Q: Can this book be used for academic study? A: Yes, 'Homological Algebra (PMS-19)' is a valuable resource for academic study, especially for advanced mathematics courses focusing on algebraic topology and homological methods.
- Q: What makes this book a significant contribution to mathematics? A: This book is significant because it consolidates various cohomology theories into a single framework, allowing for a deeper understanding of their interrelations and applications in algebra.