A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging problems, a pathway to undergraduate research—all these desires gave life to the pages here.This book exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in The American Mathematical Monthly.The author presents proofs as a form of exploration rather t...

This book is an outgrowth of a collection of sixty-two problems offered in the The American Mathematical Monthly (AMM) the author has worked over the last two decades. Each selected problem has a central theme, contains gems of sophisticated ideas connected to important current research, and opens new vistas in the understanding of mathematics.The AMM problem section provides one of the most challenging and interesting problem sections among the various journals and online...

More Monthly Problem Gems is a sequel to Monthly Problem Gems (CRC Press, 2021). This book covers a broader range of math problems. In addition to analysis problems, problems from number theory, combinatorics, algebra, and geometry are included.The book offers problems to promote creative techniques for problem-solving and undergraduate research. Each problem is selected for its natural charm, the connection with an authentic mathematical experienc...

Comprehensive presentation of upconversion luminescent materials, from fundamental theory to photovoltaic, photocatalytic, and biological applicationsPhotoenergy Conversion-Enhanced Perovskite Solar Cells is a thorough guide to the synthesis and properties of lanthanide-based and triplet-triplet annihilation-based upconversion nanomaterials. The book reviews their diverse applications in the fields of photovoltaics, luminescent solar concentrator, photodet...

Artificial intelligence (AI) techniques for rock tunnel construction offer innovative solutions for assessing rock mass quality and ensuring excavation safety in challenging geological conditions. Both cutting-edge contact methods and noncontact methods such as digital photography can provide continuous geological data during excavation. Then, advanced deep learning algorithms for precise characterization of rock face features, along with pioneering multisource 3D data fusion modelling, ca...

The main focus of this book is the transport mechanics of sediment particles coated with microbial biofilm, which is called bio-sediment. The book also addresses the question of how to measure and simulate the considerable variation in the properties of natural sediment associated with microbial biofilm, ranging from the micro-scale surface morphology to the macro-scale sediment transport. Nowadays most studies to elucidate the mechanisms of sediment transport have concentrated on physical...

This book addresses the integration of the Internet and finance which recently has been one of the most notable topics of discussion in the media, the business community, academia, and among policymakers, both in China and worldwide. As a comprehensive, in-depth analysis of the one of the fastest growing industries in China, the book covers all the most important areas and issues in the crowdfunding industry in China, including the definition, types, and history of crowdfunding, the scale ...