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Showing 1 - 10 of 10 matches in All Departments
This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including: - Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)- Fractional differential equations with non-instantaneous impulses (with Caputo fractional derivatives of order q (0, 1))- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution) Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader's understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.
This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Cebysv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
1) This volume outlines the specific conditions and responses to climate change in India. 2) It brings together contributors with expertise in fields as varied as national security, public policy, environmental law, climate justice activism, anthropology, restoration ecology, conservation biology, wildlife ecology, the health sector and medicine, conservation science and sustainability, gender, humanities and the creative arts. 3) This book will be of interest to departments of environment studies, climate change and also for practitioners, policymakers, think tanks and NGOs working on climate change issues across UK.
1) This volume outlines the specific conditions and responses to climate change in India. 2) It brings together contributors with expertise in fields as varied as national security, public policy, environmental law, climate justice activism, anthropology, restoration ecology, conservation biology, wildlife ecology, the health sector and medicine, conservation science and sustainability, gender, humanities and the creative arts. 3) This book will be of interest to departments of environment studies, climate change and also for practitioners, policymakers, think tanks and NGOs working on climate change issues across UK.
This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including: - Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)- Fractional differential equations with non-instantaneous impulses (with Caputo fractional derivatives of order q (0, 1))- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution) Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader's understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.
This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Cebysv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
The past 40 years have seen a phenomenal growth in globally oriented public and private initiatives related to chemical and environmental issues. The groundbreaking 1972 United Nations Conference on the Human Environment held in Stockholm was the event responsible for initiating framework for global environmental policies, including those addressing chemical safety. It gave rise to the first World Environment Day and the creation of the United Nations Environment Programme, leading the way to the acknowledgement that sustainable development is the most logical and viable pathway to preserve and enhance our environment for future generations. Chemicals, Environment, Health: A Global Management Perspective presents an overview of the noteworthy conferences, organizations, and international treaties that focus on chemicals management and policy. It takes into account special challenges faced by developing countries regarding chemicals safety. From the Stockholm Conference to follow-ups in Rio and Johannesburg, it provides concise coverage of a vast swath of information. It highlights pivotal agreements such as the Basel, Rotterdam, and Stockholm Conventions, the more expansive Strategic Approach to International Chemicals Management, as well as key regional agreements such as the European Union's REACH legislation. The book includes invited essays in areas such as emergencies and financing instruments, and offers a clear look at future challenges and opportunities. Written by a team of authors from all continents, with backgrounds in international organizations, national governments, academia, industry, and NGOs, the book reflects a wide experience from a multitude of perspectives. A valuable guidebook to global chemicals management cooperation, this book reviews and analyzes multi-lateral efforts established to address the potential risks of chemicals on the world stage.
The past 40 years have seen a phenomenal growth in globally oriented public and private initiatives related to chemical and environmental issues. The groundbreaking 1972 United Nations Conference on the Human Environment held in Stockholm was the event responsible for initiating framework for global environmental policies, including those addressing chemical safety. It gave rise to the first World Environment Day and the creation of the United Nations Environment Programme, leading the way to the acknowledgement that sustainable development is the most logical and viable pathway to preserve and enhance our environment for future generations. Chemicals, Environment, Health: A Global Management Perspective presents an overview of the noteworthy conferences, organizations, and international treaties that focus on chemicals management and policy. It takes into account special challenges faced by developing countries regarding chemicals safety. From the Stockholm Conference to follow-ups in Rio and Johannesburg, it provides concise coverage of a vast swath of information. It highlights pivotal agreements such as the Basel, Rotterdam, and Stockholm Conventions, the more expansive Strategic Approach to International Chemicals Management, as well as key regional agreements such as the European Union's REACH legislation. The book includes invited essays in areas such as emergencies and financing instruments, and offers a clear look at future challenges and opportunities. Written by a team of authors from all continents, with backgrounds in international organizations, national governments, academia, industry, and NGOs, the book reflects a wide experience from a multitude of perspectives. A valuable guidebook to global chemicals management cooperation, this book reviews and analyzes multi-lateral efforts established to address the potential risks of chemicals on the world stage.
Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students' understanding of the subject, laying the foundation for future studies in analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, or electrical engineering. After introducing the basic concepts of complex numbers and their geometrical representation, the text describes analytic functions, power series and elementary functions, the conformal representation of an analytic function, special transformations, and complex integration. It next discusses zeros of an analytic function, classification of singularities, and singularity at the point of infinity; residue theory, principle of argument, Rouche's theorem, and the location of zeros of complex polynomial equations; and calculus of residues, emphasizing the techniques of definite integrals by contour integration. The authors then explain uniform convergence of sequences and series involving Parseval, Schwarz, and Poisson formulas. They also present harmonic functions and mappings, inverse mappings, and univalent functions as well as analytic continuation.
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