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Elsevier

Academic Press

  • An Introduction to Writing Mathematical Proofs

    Shifting Gears from Calculus to Advanced Mathematics
    • 1st Edition
    • Thomas Bieske
    • English
    An Introduction to Writing Mathematical Proofs: Shifting Gears from Calculus to Advanced Mathematics addresses a critical gap in mathematics education, particularly for students transitioning from calculus to more advanced coursework. It provides a structured and supportive approach, guiding students through the intricacies of writing proofs while building a solid foundation in essential mathematical concepts. Sections introduce elementary proof methods, beginning with fundamental topics such as sets and mathematical logic, systematically develop the properties of real numbers and geometry from a proof-writing perspective, and delve into advanced proof methods, introducing quantifiers and techniques such as proof by induction, counterexamples, contraposition, and contradiction. Finally, the book applies these techniques to a variety of mathematical topics, including functions, equivalence relations, countability, and a variety of algebraic activities, allowing students to synthesize their learning in meaningful ways. It not only equips students with essential proof-writing skills but also fosters a deeper understanding of mathematical reasoning. Each chapter features clearly defined objectives, fully worked examples, and a diverse array of exercises designed to encourage exploration and independent learning. Supplemented by an Instructors' Resources guide hosted online, this text is an invaluable companion for undergraduate students eager to master the art of writing mathematical proofs.

  • Boundary Value Problems and Partial Differential Equations

    • 7th Edition
    • David L. Powers + 3 more
    • English
    For over fifty years, Boundary Value Problems and Partial Differential Equations, Seventh Edition has provided advanced students an accessible and practical introduction to deriving, solving, and interpreting explicit solutions involving partial differential equations with boundary and initial conditions. Fully revised and now in its Seventh Edition, this valued text aims to be comprehensive without affecting the accessibility and convenience of the original. The resource’s main tool is Fourier analysis, but the work covers other techniques, including Laplace transform, Fourier transform, numerical methods, characteristics, and separation of variables, as well, to provide well-rounded coverage. Mathematical modeling techniques are illustrated in derivations, which are widely used in engineering and science. In particular, this includes the modeling of heat distribution, a vibrating string or beam under various boundary conditions and constraints. New to this edition, the text also now uniquely discusses the beam equation. Throughout the text, examples and exercises have been included, pulled from the literature based on popular problems from engineering and science. These include some "outside-the-box" exercises at the end of each chapter, which provide challenging and thought-provoking practice that can also be used to promote classroom discussion. Chapters also include Projects, problems that synthesize or dig more deeply into the material that are slightly more involved than standard book exercises, and which are intended to support team solutions. Additional materials, exercises, animations, and more are also accessible to students via links and in-text QR codes to support practice and subject mastery.

  • Quantum Theory, Decision Making and Social Dynamics

    • 1st Edition
    • Tofigh Allahviranloo + 3 more
    • English
    Quantum Theory, Decision Making, and Social Dynamics is a detailed exploration of the connection between quantum theory, decision-making, and social networks. As quantum theory expands into various fields, there is an increasing demand for accessible resources that clarify its principles and uses. This book aims to address that need by explaining the complex relationship between quantum theory and social dynamics, especially in decision-making contexts. It discusses the challenges of understanding and applying quantum theory in social settings and provides readers with the knowledge to leverage its potential in decision-making processes. The book is divided into eleven chapters, each focusing on a specific aspect of quantum theory and its applications. Chapter 1 introduces quantum theory, fuzzy logic, and social network analysis, highlighting key concepts like superposition, entanglement, and fuzzy influence within networks. Chapter 2 examines fuzzy sets, membership functions, and inference systems, with applications in devices, traffic management, and healthcare. Chapter 3 covers the mathematical framework of quantum mechanics and its philosophical paradoxes, connecting them to fuzzy logic models of uncertainty. Chapter 4 links social networks to quantum graphs, defining their topology, centrality, and entangled edges. Chapter 5 models social identity as a fuzzy quantum superposition, exploring identity collapse and coherence within networks. Chapter 6 relates quantum entanglement to social ties, proposing fuzzy–quantum graph models for interconnected systems. Chapter 7 analyses measures of irregularity in quantum graphs and applies these to financial networks. Chapter 8 integrates quantum cognition with fuzzy MCDM, employing various probability evaluation methods. Chapter 9 features case studies of fuzzy systems and their integration with quantum fuzzy graphs. Chapter 10 develops a quantum graph-based link prediction model for dynamic social networks. Chapter 11 concludes with a summary of the quantum–fuzzy framework, discussing its contributions, limitations, and future directions.

  • Bacterial Biogeochemistry

    The Ecophysiology of Mineral Cycling
    • 4th Edition
    • Gary M. King + 1 more
    • English
    Bacterial Biogeochemistry: The Ecophysiology of Mineral Cycling, Fourth Edition discusses the influence of bacterial activity on the chemical environment of the biosphere. Following the success of previous editions, this update focuses on bacterial metabolism and its relevance to the environment, including the decomposition of soil, food chains, nitrogen fixation, assimilation, and reduction of carbon nitrogen and sulfur, and microbial symbiosis. All chapters have been revised and brought up-to-date in light of the many advances and discoveries that have taken place during the last decade. The scope of the new edition has broadened to provide a review of the processes and phenomena that are relevant for global change feedback loops and advances in bacterial biogeochemical cycles.

  • Measure and Integration

    Concepts, Examples, and Applications
    • 1st Edition
    • Ahmed Ghatasheh + 2 more
    • English
    Measure and Integration: Examples, Concepts, and Applications instructs on core proofs, theorems, and approaches of real analysis as illustrated via compelling exercises and carefully crafted, practical examples. Following early chapters on core concepts and approaches of real analysis, the authors apply real analysis across integration on product spaces, radon functionals, bounded variation and lebesgue-stieltjes measures, convolutions, probability, and differential equations, among other topics. From chapter one onward, students are asked to apply concepts to reinforce understanding and gain applied experience in real analysis. In particular, exercises challenge students to use key proofs of major real analysis theorems to encourage independent thinking, problem-solving, and new areas of research powered by real analysis.

  • Atlas of Endoscopy Imaging in Inflammatory Bowel Disease

    • 2nd Edition
    • Bo Shen
    • English
    Atlas of Endoscopy Imaging in Inflammatory Bowel Disease, Second Edition, serves as a comprehensive guide to the latest advancements in inflammatory bowel disease (IBD). This new edition keeps readers updated with cutting-edge medical treatments, state-of-the-art endoscopy, and imaging technologies, as well as the evolution of interventional IBD. It explores the latest advancements in IBD diagnosis and management, including recent endoscopy instruments for measuring disease activity and the transformative world of image-enhanced endoscopy. Additionally, it delves into the groundbreaking application of artificial intelligence (AI) in IBD, revolutionizing diagnosis, disease monitoring, and dysplasia surveillance. New content introduces topics such as intestinal ultrasound, device-associated enteroscopy in Crohn’s disease, insights into IBD-like conditions (autoinflammatory disorders), and the value of intraoperative endoscopy in IBD procedures. The book integrates new consensus guidelines for endoscopy imaging in IBD, explores AI applications in diagnosis and monitoring, addresses COVID, COVID vaccines, and IBD, and presents new interventional IBD techniques. This edition provides state-of-the-art information on differential diagnosis, advanced endoscopy, imaging technologies, and AI. It offers updated guidelines for disease activity assessment and advancements in endoscopic therapy modalities. Designed for a diverse range of medical professionals, it is an indispensable resource for comprehensive, current IBD knowledge. Gastroenterologists and IBD specialists will find resources for cutting-edge treatments and AI insights. Primary care clinicians can use an expanded list of differential diagnoses for early-stage identification. Surgeons can deepen their understanding of interventional techniques, while pathologists and radiologists can improve diagnostic skills through AI and image-enhanced endoscopy. This resource ensures medical professionals across disciplines are equipped to navigate the evolving landscape of IBD diagnosis, treatment, and management.

  • Machine Learning in MRI

    From Methods to Clinical Translation
    • 1st Edition
    • Volume 13
    • Thomas Kuestner + 3 more
    • English
    Machine Learning in MRI: From Methods to Clinical Translation, Volume Thirteen in theAdvances in Magnetic Resonance Technology and Applications series presents state-of-the-art machine learning methods in magnetic resonance imaging that can shape and impact the future of patient treatment and planning. Common methods and strategies along the processing chain of data acquisition, image reconstruction, image post-processing, and image analysis of these imaging modalities are presented and illustrated. The book focuses on applications and anatomies for which machine learning methods can bring, or have already brought. Ideas and concepts on how processing could be harmonized and used to provide deployable frameworks that integrate into the clinical workflows are also considered.Pitfalls and current limitations are discussed in the context of how they could be overcome to cater for clinical needs, making this an ideal reference for medical imaging researchers, industry scientists and engineers, advanced undergraduate and graduate students, and clinicians. By giving an interdisciplinary presentation and discussion on the obstacles and possible solutions for the clinical translation of machine learning methods, this book enables the evolution of machine learning in medical imaging for the next decade.

  • Fundamentals of Space Medicine and Clinical Technology

    • 1st Edition
    • Ethan Waisberg + 2 more
    • English
    Fundamentals of Space Medicine and Clinical Technology is a comprehensive guide that delves into the advanced technologies utilized in space medicine today. The book is structured into three sections: an introduction to the physiology of space medicine, a detailed overview of various space medicine technologies, and the application of these technologies on Earth. Authored by leading experts in the field, it aims to bridge the gap between space medicine physiology and technological advancements, offering valuable insights. Additionally, the book serves as a useful resource for doctors, engineers, commercial industries, and governments, highlighting the significance of translational applications of space medicine technologies.This is a pivotal read for anyone interested in the intersection of space exploration and medical science.

  • Molecular Biology Techniques

    A Classroom Laboratory Manual
    • 5th Edition
    • Sue Carson + 3 more
    • English
    Molecular Biology Techniques: A Classroom Laboratory Manual, Fifth Edition, is an in-depth laboratory manual for upper-level undergraduates and beginning graduate students in the general field of molecular biology techniques and biochemical applications. Presented as a series of coordinated experiments that mimics either a one- or two-semester research experience, the book also provides theories and explanations behind the techniques. Topics include manipulation of recombinant DNA, protein expression and purification, analysis of mRNA levels, mammalian cell culture techniques, CRISPR-mediated gene knockdown, and more. New topics, such as Gibson assembly experiments, have also been included. For instructors, the book contains easy to follow guides and preparation lists, designed to facilitate lab setup and pre-lab questions for use as a teaching tool.

  • Emerging Trends in Phytotherapy of Cancer

    • 1st Edition
    • Mahendra Rai + 1 more
    • English
    Emerging Trends in Phytotherapy of Cancer is an essential reference that explores the multifaceted role of medicinal plants in combating cancer. The book covers a broad range of interconnected topics including ethnomedicinal plants used in cancer by tribes and aboriginals, herbs used in Ayurvedic medicine for cancer, integrated approaches of modern and conventional drugs, anti-cancerous secondary metabolites, plant-based anticancer drugs approved by FDA and WHO, toxicity to humans, and the role of emerging technologies such as the applications of nanotechnology and artificial intelligence. The contents are divided into six parts. Part one opens with an introductory chapter, followed by the different combinations of plant-based drugs and modern medicine for cancer treatment, and recent developments in cancer research. Part two discusses the ethnomedicinal uses of plants in cancer and the role of Ayurvedic herbal medicines in cancer. Part three incorporates the role of secondary metabolites in cancer treatment. Part four elaborates on the plant-based drugs recommended by FDA/WHO. Part five concerns the human phytotoxicity of secondary metabolites, and part six describes the role of emerging nanotechnologies and artificial intelligence in phytotherapy drug delivery and treatment. Targeted at researchers, healthcare professionals, and advanced students in related fields, this book provides technical and in-depth knowledge, contributing to ongoing advancements in cancer treatment. It uniquely integrates ethnomedicinal therapies with modern technologies, offering a comprehensive overview of the research into phytomedicinal cancer therapies.

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