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This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book of Records, reminded me very gently that the most "innumerate" people of the world are of a certain trible in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes, Morris, I'm from Brazil, but my book will contain numbers different from ·one.''' He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name) and consists of about 16 million decimal digits of th...
This book contains the World's Smallest Prime Number. Nothing more, nothing less. Please do not buy it.
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the ...
This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium series established to honour Professors A. J. Coleman and H. W. Ellis and to acknowledge their long-lasting interest in the quality of teaching undergraduate students. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book oj Records, reminded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'on...
Nature, with its unassuming yet prodigious character, unfolds its assembly and adaptability guided by the principles of thermodynamics and supramolecular chemistry. Every entity in nature, regardless of its form, adheres to these fundamental principles. From individual metabolites to ordinary molecules, each possesses inherent potential for nanomaterial synthesis. This book meticulously compiles diverse green approaches that highlight nature's synthetic prowess and its lavish abundance in nanomaterial synthesis, showcasing potential applications. It unveils the lucrative pathways nature provides for cutting-edge advancements in synthetic methodologies and material applications.
This book examines how predicting the future based on analytical and empirical models is essential for our species' survival, stable organization, and well-being. At a high level, information exchange, mainly through communication between people, fosters a deeper understanding of reality and strengthens human bonds, ultimately contributing to the emergence of societies as new creatures or "superorganisms" with significantly more data to feed those models. Communication is fundamental to the development of complex organisms, the maintenance of internal order, and the propagation of knowledge via cultural packets. The human brain's plasticity, memory, and learning capabilities enable storage a...
This book reviews research works in recent trends in blockchain, AI, and Digital Twin based IoT data analytics approaches for providing the privacy and security solutions for Fog-enabled IoT networks. Due to the large number of deployments of IoT devices, an IoT is the main source of data and a very high volume of sensing data is generated by IoT systems such as smart cities and smart grid applications. To provide a fast and efficient data analytics solution for Fog-enabled IoT systems is a fundamental research issue. For the deployment of the Fog-enabled-IoT system in different applications such as healthcare systems, smart cities and smart grid systems, security, and privacy of big IoT data and IoT networks are key issues. The current centralized IoT architecture is heavily restricted with various challenges such as single points of failure, data privacy, security, robustness, etc. This book emphasizes and facilitates a greater understanding of various security and privacy approaches using the advances in Digital Twin and Blockchain for data analysis using machine/deep learning, federated learning, edge computing and the countermeasures to overcome these vulnerabilities.
Truffles are hypogeous ectomycorrhizal ascomycetous edible mushrooms distributed worldwide in terrestrial ecosystems, including deserts, as non-timber forest products. They are seasonal and have a short shelf life. Owing to their nutraceutical value, truffles are in high demand and valuable. Of the 180 or more species of truffles reported worldwide, only around 20 are commercially viable. Truffles: Diversity, Ecology and Biotechnology reviews the current advances in truffles from a historical perspective and covers ethnomycological profiles, habitats, ecology, geographical distribution, diversity, systematics, phylogeny, ultrastructure, sexual reproduction, cultivation, analytical techniques, and the impact of climate change and industrial applications on truffles. It also emphasizes the role of soil properties in the occurrence of truffles (e.g., Tuber spp.), their pathogens, product development and marketing. The contributors hail from academia and industries across the globe.
"Microbe Hunting: Unveiling the Secrets of Microorganisms through Assessment, Sequencing, and Bioinformatics Analysis" embarks on a captivating expedition into the unseen world of microorganisms. This insightful journey navigates the intricate realms of microbial diversity, unwrapping the significance of ecological roles and technological advancements. Through the lens of assessment techniques, the book unveils the art of sample preparation and the transformative power of sequencing technologies, shedding light on the uncharted territories of bioinformatics analysis. From decoding taxonomic landscapes to unearthing functional treasures, this book traverses metagenomics and its benefits for human. With ethical considerations and glimpses into the future, the voyage culminates, offering a profound understanding of the microbial universe and its boundless potential.