This book contains lecture notes in pure and applied mathematics from the proceedings of an International Conference on Nonlinear Analysis and Applications, held at Memorial University of Newfoundland in June 1981. It includes information on fractional calculus and the Stieltjes transform.

These are the Proceedings of the NATO Advanced Study Institute on Approximation Theory, Spline Functions and Applications held in the Hotel villa del Mare, Maratea, Italy between April 28,1991 and May 9, 1991. The principal aim of the Advanced Study Institute, as reflected in these Proceedings, was to bring together recent and up-to-date developments of the subject, and to give directions for future research. Amongst the main topics covered during this Advanced Study Institute is the subject of uni variate and multivariate wavelet decomposition over spline spaces. This is a relatively new area in approximation theory and an increasingly impor tant subject. The work involves key techniques in approximation theory cardinal splines, B-splines, Euler-Frobenius polynomials, spline spaces with non-uniform knot sequences. A number of scientific applications are also highlighted, most notably applications to signal processing and digital im age processing. Developments in the area of approximation of functions examined in the course of our discussions include approximation of periodic phenomena over irregular node distributions, scattered data interpolation, Pade approximants in one and several variables, approximation properties of weighted Chebyshev polynomials, minimax approximations, and the Strang Fix conditions and their relation to radial functions. I express my sincere thanks to the members of the Advisory Commit tee, Professors B. Beauzamy, E. W. Cheney, J. Meinguet, D. Roux, and G. M. Phillips. My sincere appreciation and thanks go to A. Carbone, E. DePas cale, R. Charron, and B."

A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee.

A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2, 1983. This volume consists of the Proceedings of that Institute. These Proceedings include the main invited talks and contributed papers given during the Institute. The aim of these lectures was to bring together Mathematicians, Physicists and Engineers working in the field. The lectures covered a wide range including 1ultivariate Approximation, Spline Functions, Rational Approximation, Applications of Elliptic Integrals and Functions in the Theory of Approximation, and Pade Approximation. We express our sincere thanks to Professors E. W. Cheney, J. Meinguet, J. M. Phillips and H. Werner, members of the International Advisory Committee. We also extend our thanks to the main speakers and the invi ted speakers, whose contri butions made these Proceedings complete. The Advanced Study Institute was financed by the NATO Scientific Affairs Division. We express our thanks for the generous support. We wish to thank members of the Department of Mathematics and Statistics at MeMorial University who willingly helped with the planning and organizing of the Institute. Special thanks go to Mrs. Mary Pike who helped immensely in the planning and organizing of the Institute, and to Miss Rosalind Genge for her careful and excellent typing of the manuscript of these Proceedings."

Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Pade theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences. "

The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies. Audience: This book will be of interest to graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets and related geometric topics and game theory.

The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies. Audience: This book will be of interest to graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets and related geometric topics and game theory.

Discover a comprehensive and current overview of microbial bioprospecting written by leading voices in the field In Bioprospecting of Microorganism-Based Industrial Molecules, distinguished researchers and authors Sudhir P. Singh and Santosh Kumar Upadhyay deliver global perspectives of bioprospecting of biodiversity. The book covers diverse aspects of bioprospecting of microorganisms demonstrating biomass value of nutraceutical, pharmaceutical, biomedical, and bioenergetic importance. The authors present an amalgamation of translational research on bioresource utilization and ecological sustainability that will further the reader's knowledge of the applications of different microbial diversity and reveal new avenues of research investigation. Readers will also benefit from: A thorough introduction to microbial biodiversity and bioprospecting An exploration of anti-ageing and skin lightening microbial products and microbial production of anti-cancerous biomolecules A treatment of UV protective compounds from algal biodiversity and polysaccharides from marine microalgal sources Discussions of microbial sources of insect toxic proteins and the role of microbes in bio-surfactants production Perfect for academics, scientists, researchers, graduate and post-graduate students working and studying in the areas of microbiology, food biotechnology, industrial microbiology, plant biotechnology, and microbial biotechnology, Bioprospecting of Microorganism-Based Industrial Molecules is an indispensable guide for anyone looking for a comprehensive overview of the subject.

Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in PadA(c) theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences.

These are the Proceedings of the NATO Advanced Study Institute on Approximation Theory, Spline Functions and Applications held in the Hotel villa del Mare, Maratea, Italy between April 28,1991 and May 9, 1991. The principal aim of the Advanced Study Institute, as reflected in these Proceedings, was to bring together recent and up-to-date developments of the subject, and to give directions for future research. Amongst the main topics covered during this Advanced Study Institute is the subject of uni variate and multivariate wavelet decomposition over spline spaces. This is a relatively new area in approximation theory and an increasingly impor tant subject. The work involves key techniques in approximation theory cardinal splines, B-splines, Euler-Frobenius polynomials, spline spaces with non-uniform knot sequences. A number of scientific applications are also highlighted, most notably applications to signal processing and digital im age processing. Developments in the area of approximation of functions examined in the course of our discussions include approximation of periodic phenomena over irregular node distributions, scattered data interpolation, Pade approximants in one and several variables, approximation properties of weighted Chebyshev polynomials, minimax approximations, and the Strang Fix conditions and their relation to radial functions. I express my sincere thanks to the members of the Advisory Commit tee, Professors B. Beauzamy, E. W. Cheney, J. Meinguet, D. Roux, and G. M. Phillips. My sincere appreciation and thanks go to A. Carbone, E. DePas cale, R. Charron, and B."

This book brings together comprehensive multi-disciplinary knowledge on diverse aspects of the Himalayan treeline ecotone which is considered one of the most sensitive ecosystems to climate change. The contents of this book are based on the results of extensive research and provide a holistic understanding of the treeline ecotone in Himalaya. The book will serve as an important reference manual and a textbook on treeline ecology. The book is unique in the sense that it provides an engaging account of almost all the aspects of the treeline ecotone, such as taxonomic, functional and phylogenetic species diversity, temperature lapse rates, tree phenology, water relations, and stress physiology, tree ring width chronology, and climate relationships and the role of treeline ecotone in human sustenance in the Indian Himalayan region The treelines in the Himalaya, being the highest in the Northern Hemisphere (up to 4900 m), are among the least investigated systems and hence this book is timely and fills all-important knowledge gaps vis-a-vis treeline shifts, physiognomic, structural, and functional changes in mountain landscapes and ecosystems, particularly under the changing climate This book, for the first time, summarizes evidence-based knowledge about various aspects of treeline ecotone in Himalaya that was largely generated through a well-coordinated a team science approach. The book will be of interest to ecologists, climatologists, dendrochronologists, foresters, plant physiologists and resource managers and policy planners for a better understanding of the organization and dynamics of this fragile ecosystem in relation to climate change and other anthropogenic stresses that are rampant in the Himalaya. The book lays a solid foundation for further investigation of the ecology and dynamics of the treeline ecotone in the Himalayas and provides a rationale for pursuing a team science approach for macroecological investigations.

A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2, 1983. This volume consists of the Proceedings of that Institute. These Proceedings include the main invited talks and contributed papers given during the Institute. The aim of these lectures was to bring together Mathematicians, Physicists and Engineers working in the field. The lectures covered a wide range including 1ultivariate Approximation, Spline Functions, Rational Approximation, Applications of Elliptic Integrals and Functions in the Theory of Approximation, and Pade Approximation. We express our sincere thanks to Professors E. W. Cheney, J. Meinguet, J. M. Phillips and H. Werner, members of the International Advisory Committee. We also extend our thanks to the main speakers and the invi ted speakers, whose contri butions made these Proceedings complete. The Advanced Study Institute was financed by the NATO Scientific Affairs Division. We express our thanks for the generous support. We wish to thank members of the Department of Mathematics and Statistics at MeMorial University who willingly helped with the planning and organizing of the Institute. Special thanks go to Mrs. Mary Pike who helped immensely in the planning and organizing of the Institute, and to Miss Rosalind Genge for her careful and excellent typing of the manuscript of these Proceedings."

This edited book offers coverage towards SDG 15 in particular, but it provides for all the SDGs in general. The book is an inclusive comprehension on ecosystem restoration and sustainability including agricultural and ecosystem resilience, the role of biodiversity, climate change and water resources, hydrological modelling, extreme events, disaster risk and management, sustainable policy making on disaster management.  The world is facing diverse and severe challenges. Millions of people are suffering from the catastrophic effects of extreme disasters, climate emergencies, water and food insecurity, and the repercussions of COVID-19 pandemic. Ecosystems are essential players in people’s capacity to meet these challenges. Hence, managing them and protecting their resources in sustainable ways is crucial. The book ‘Ecosystem Restoration:  Towards Sustainable and Resilient Development’ provides comprehensive information on fundamentals, approaches and latest developments in the field of ecosystem restoration, resilience and sustainability. This book is of interest to teachers, researchers, climate change scientists, and valuable source of reference to the professionals and students in the relevant disciplines. Besides, the book serves as additional reading for graduate students of water, ecology, restoration forestry, soil science, and environmental sciences. National and international ecological policy makers, scientists and planners will also find this to be a useful read.

Damping in Fiber Reinforced Composite Materials starts with an introduction to the basic concepts of damping in composite materials. Methods of modeling damping are then covered, along with recent developments in measuring techniques, both local, like polar scanning and global techniques like the Resonalyser method (based on measuring modal damping ratios of composite material plates). The effect of other factors, such as stress, strain-level, stiffness and frequency that need to be considered when determining damping behavior in composite materials are also discussed in detail. Other chapters present a parametric study of a two-phase composite material using different micromechanical models such as Unified micromechanics, and Hashin and Eshelby's to predict elastic moduli and loss factors. A bridging model that incorporates the effect of fiber packaging factors is then compared to FEM results. Final sections cover the effect of the interphase on the mechanical properties of the composite, present a nonlinear model for the prediction of damping in viscoelastic materials, and provide practical examples of damping and principles of vibration control.

Pericyclic Reactions: A Mechanistic and Problem-Solving Approach provides complete and systematic coverage of pericyclic reactions for researchers and graduate students in organic chemistry and pharmacy programs. Drawing from their cumulative years of teaching in the area, the authors use a clear, problem-solving approach, supplemented with colorful figures and illustrative examples. Written in an accessible and engaging manner, this book covers electrocyclic reactions, sigmatropic reactions, cycloaddition reactions, 1,3-dipolar reactions, group transfer, and ene reactions. It offers an in-depth study of the basic principles of these topics, and devotes equal time to problems and their solutions to further explore those principles and aid reader understanding. Additional practice problems are provided for further study and course use.

The common bean (Phaseolus vulgaris L. ) is the most important pulse crop in the world. It is an important source of calories, proteins, dietary fibers, minerals, and vitamins for millions of people in both developing and developed countries worldwide. It complements cereals and other carbohydrate-rich foods in providing near-perfect nutrition to people of all ages. Moreover, a regular intake ofbeans helps lower cholesterol and cancer risks. Despite the fact that per capita consumption of common bean in some developed countries (e. g. , the U. S. A. ) has been increasing over the last several years, in general, the average global per capita consumption is declining because production is unable to keep up with the population growth. Moreover, increasing demand for pesticide-free food products, concern for natural resources conservation, and the need to reduce production costs offer daunting challenges to the twenty-first century policy makers, bean growers, and researchers alike. High yielding, high quality bean cultivars that require less water, fertilizers, pesticides, and manual labor combined with integrated management of abiotic and biotic stresses will have to be developed. Eminent bean researchers were invited to contemplate these issues, prepare a state-of-the-art account on most relevant topics, and offer their insight into research directions into the twenty-first century. Four excellent books have been published covering various aspects ofthe common bean since 1980. These books are: I) Bean Production Problems nd in the Tropics (l SI ed. 1980, 2 ed. 1989), H. F. Schwartz & M. A.

The common bean (Phaseolus vulgaris L. ) is the most important pulse crop in the world. It is an important source of calories, proteins, dietary fibers, minerals, and vitamins for millions of people in both developing and developed countries worldwide. It complements cereals and other carbohydrate-rich foods in providing near-perfect nutrition to people of all ages. Moreover, a regular intake ofbeans helps lower cholesterol and cancer risks. Despite the fact that per capita consumption of common bean in some developed countries (e. g. , the U. S. A. ) has been increasing over the last several years, in general, the average global per capita consumption is declining because production is unable to keep up with the population growth. Moreover, increasing demand for pesticide-free food products, concern for natural resources conservation, and the need to reduce production costs offer daunting challenges to the twenty-first century policy makers, bean growers, and researchers alike. High yielding, high quality bean cultivars that require less water, fertilizers, pesticides, and manual labor combined with integrated management of abiotic and biotic stresses will have to be developed. Eminent bean researchers were invited to contemplate these issues, prepare a state-of-the-art account on most relevant topics, and offer their insight into research directions into the twenty-first century. Four excellent books have been published covering various aspects ofthe common bean since 1980. These books are: I) Bean Production Problems nd in the Tropics (l SI ed. 1980, 2 ed. 1989), H. F. Schwartz & M. A.

This title includes recent research work on post harvest handling and storages techniques which prevent fruits, vegetables, and flowers to spoil.