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Bioactive Heterocyles I
Bioactive Heterocycles I is a continuation of critical accounts about heterocyclic compounds within the series Topics in Heterocyclic Chemistry. The present volume provides comprehensive reviews of the chemistry and bioactivity of selected groups of heterocycles and natural products. … Overall, this book covers in detail several classes of bioactive heterocyclic compounds including selected natural products. The focus is on the most recent advances, and the clarity of the presentation is very good. It should be of interest to individuals interested in the discovery and synthesis of bioactive small molecules, including research scientists in academia and industry.
Bioactive Heterocycles V
This volume contains 10 chapters. The contributions are from researchers famous in their respective fields and the chapters contain high quality reviews on topics related to the chemo-biological studies of several different heterocyclic groups. The first chapter from Saracoglu reviews the functionalization of indoles and the pyrroles via Michael additions, as these compounds have potential for their biological activities. In second chapter Men ́endez reviews the chemistry of the welwitindolinones. Topcu and Demirkiran, in the third chapter, describe the chemistry and biological studies of lignans from Taxus species, including their biosynthesis and recent strategies for the synthesis of lignans.
Beyond partial differential equations : On linear and Quasi-Linear abstract hyperbolic evolution equations
The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups.
Basic Notions of Algebra
Aims to present a general survey of algebra, of its basic notions and main branches.Those parts of the book devoted to the systematic treatment of notions and results of algebra make very limited demands on the reader: we presuppose only that the reader knows calculus, analytic geometry and linear algebra in the form taught in many high schools and colleges. The extent of the prerequisites required in our treatment of examples is harder to state; an acquaintance with projective space, topological spaces, differentiable and complex analytic manifolds and the basic theory of functions of a complex variable is desirable, but the reader should bear in mind that difficulties arising in the treatment of some specific example are likely to be purely local in nature, and not to affect the understanding of the rest of the book.
As Pastoralists settle : Social, health, and economic consequences of the pastoral Sedentarization in Marsabit District, Kenya
Formerly nomadic livestock-keeping pastoralists have settled in many regions of the world in the past century. Some groups, including those in the former Soviet Union, Iran, and Israel, have settled in response to state-enforced measures; others including Saami in Norway or Bedouins in Saudi Arabia, in response to changing economic opportunities. East Africa, home to many cattle- and camel-keeping pastoral societies, has been among the most recent to change. The shift to sedentism by East African pastoralists increased d- matically in the late 20th century as a result of sharp economic, political, demographic, and environmental changes.
Artinian Modules over Group Rings
This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of semisimplicity of artinian modules, it also focuses on recent advanced results on these matters.
Arithmetical investigations : Representation theory, orthogonal polynomials, and quantum interpolations
In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zp which are the inverse limit of the finite rings Z/pn. This gives rise to a tree, and probability measures w on Zp correspond to Markov chains on this tree. From the tree structure one obtains special basis for the Hilbert space L2(Zp,w). The real analogue of the p-adic integers is the interval [-1,1], and a probability measure w on it gives rise to a special basis for L2([-1,1],w) - the orthogonal polynomials, and to a Markov chain on "finite approximations" of [-1,1]. For special (gamma and beta) measures there is a "quantum" or "q-analogue" Markov chain, and a special basis, that within certain limits yield the real and the p-adic theories. This idea can be generalized variously. In representation theory, it is the quantum general linear group GLn(q)that interpolates between the p-adic group GLn(Zp), and between its real (and complex) analogue -the orthogonal On (and unitary Un )groups. There is a similar quantum interpolation between the real and p-adic Fourier transform and between the real and p-adic (local unramified part of) Tate thesis, and Weil explicit sums.
An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
This book provides an introduction to the basics of sub-Riemannian differential geometry and geometric analysis in the Heisenberg group, focusing primarily on the current state of knowledge regarding Pierre Pansu's celebrated 1982 conjecture regarding the sub-Riemannian isoperimetric profile.
An Introduction to Infinite-Dimensional Analysis
In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction – for an audience knowing basic functional analysis and measure theory but not necessarily probability theory – to analysis in a separable Hilbert space of infinite dimension.Starting from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate some basic stochastic dynamical systems (including dissipative nonlinearities) and Markov semi-groups, paying special attention to their long-time behavior: ergodicity, invariant measure. Here fundamental results like the theorems of Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas'minski are proved. The last chapter is devoted to gradient systems and their asymptotic behavior.
Algèbre, Chapitre 9 = Algebra, Chapter 9
Sesquilinear and quadratic forms : The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This ninth chapter of the Book of Algebra, the second Book of the treatise, is devoted to quadratic, symplectic or Hermitian forms and to associated groups.
Algèbre, Chapitre 4 à 7 = Algebra, Chapter 4 to 7
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. Deals in particular with extensions of fields and Galois theory. It includes the chaptires: 4. Polynomials and rational fractions; 5. Commutative bodies 6. Orderly groups and bodies; 7. Modules on the main rings
Algebras, Rings and Modules ; Vol.2
This book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras.
Algebraic Groups and Lie Groups with Few Factors
Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.
Algebraic Geometry and Number Theory : In Honor of Vladimir Drinfeld's 50th Birthday
One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.
African Languages and Literatures in the 21st Century
Examines the crucial role still played by African languages in pedagogy and literatures in the 21st century, generating insights into how they effectively serve cultural needs across the African continent and beyond. Boldly positioning African languages as key resources in the 21st century, chapters focus on themes such as language revolt by marginalized groups at grassroots level, the experience of American students learning African languages, female empowerment through the use of African languages in music, film and literary works, and immigration issues. The contributions are written by scholars of language, literature, education and linguistics, and will be of interest to students and scholars in these and related areas.
Advances in Material Forming ; Esaform 10 years on
This book groups the main advances in material forming, considering different p- cesses (conventional and non-conventional) focusing in polymers, composites and metals, that are analyzed from the state of the art, describing the most significant recent advances and identifying the present challenges from the experimental, modeling and numerical points of view. Chapters include a large list of references and have been wr- ten by recognized specialists. Special emphasis is devoted to the contributions of the European Scientific Association on Material Forming (ESAFORM) during the last 10 years (1998-2007) and in particular the ones coming from its annual international conference. The first chapter includes an excellent introduction to the Esaform association.
Advanced Numerical Methods to Optimize Cutting Operations of Five-Axis Milling Machines
Presents new optimization algorithms designed to improve the efficiency of tool paths for five-axis NC machining of sculptured surfaces. The book introduces the reader to fundamental issues involved in the tool path planning such as the kinematics of five-axis machines, types of 5 axis machines, part surface representation, machining strips, optimal tool orientation, gouging avoidance and forward step error. It also introduces new methods of optimization based on research conducted by the authors, including schemes performed in the spatial domain, angular domain as well as procedures to optimize the initial setup. The book can be used by undergraduate and graduate students and researchers in the field of NC machining and CAD/CAM as well as by the corporate research groups for advanced optimization of cutting operations.
Acid in the Environment : Lessons Learned and Future Prospects
This book is the result of a conference held biannually at the Goodwin-Niering Center for Conservation Biology and Environmental Studies at Connecticut College.is a collection of essays that blends the research findings and the policy analyses of individuals from different academic disciplines with the positions advanced by representatives of NGOs. Acid in the Environment: Lessons Learned and Future Prospects presents a broad approach to the study of acid deposition, exposing readers with a scientific background to significant policy issues and those with a policy orientation to important ecological impacts. The book raises important questions that will serve as a springboard for discussion between diverse groups of teachers and students, concerned citizens and legislators, and scientists and policy makers.
Abstract Harmonic Analysis of Continuous Wavelet Transforms
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.
A Short Course on Operator Semigroups
Gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach spaces. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups.
