This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including μ-invariant, L-invariant, and similar topics. This book can be regarded as an introductory text to the author's previous book p-Adic Automorphic Forms on Shimura Varieties. Written as a down-to-earth introduction to Shimura varieties, this text includes m…
No Inv.: 1766/S/Perp/96/1c
This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts…
No Inv.: 4806-4815/P/Perp/97/10c~89697-89698/PSM/Perp/04/2c~102419/P/Perp/05/1c
No Inv.: 651-652/P/Perp/97/2c
No Inv.: 4836-4845/P/Perp/97/10c
No Inv.: 657/P/Perp/97/1c
No Inv.: 718/P/Perp/97/1c
No Inv.: 916-925/P/Perp/97/10c
Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and dia…