Introduction to MATLAB

In many countries, social differences, such as religion or race and ethnicity, threaten the stability of the social and legal order. This book addresses the role of constitutions and constitutionalism in dealing with the challenge of difference. The book brings together lawyers, political scientists, historians, religious studies scholars, and area studies experts to consider how constitutions address issues of difference across 'Pan-Asia', a wide swath of the world that runs from the Middle East, through Asia, and into Oceania. The book's multidisciplinary and comparative approach makes it unique. The book is organized into five sections, each devoted to constitutional approaches to a particular type of difference - religion, ethnicity/race, urban/rural divisions, language, and gender and sexual orientation - in two or more countries in Pan Asia. The introduction offers a framework for thinking comprehensively about the many ways constitutionalism interacts with difference.

Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest

Complexity science is the study of systems with many interdependent components. Such systems - and the self-organization and emergent phenomena they manifest - lie at the heart of many challenges of global importance. This book is a coherent introduction to the mathematical methods used to understand complexity, with plenty of examples and real-world applications. It starts with the crucial concepts of self-organization and emergence, then tackles complexity in dynamical systems using differential equations and chaos theory. Several classes of models of interacting particle systems are studied with techniques from stochastic analysis, followed by a treatment of the statistical mechanics of complex systems. Further topics include numerical analysis of PDEs, and applications of stochastic methods in economics and finance. The book concludes with introductions to space-time phases and selfish routing. The exposition is suitable for researchers, practitioners and students in complexity sci

Molecular line emissions offer researchers exciting opportunities to learn about the evolutionary state of the Milky Way and distant galaxies. This text provides a detailed introduction to molecular astrophysics and an array of useful techniques for observing astronomical phenomena at millimetre and submillimetre wavelengths. After discussing the theoretical underpinnings of molecular observation, the authors catalogue suitable molecular tracers for many types of astronomical regions in local and distant parts of the Universe, including cold gas reservoirs primed for the formation of new stars, regions of active star formation, giant photon-dominated regions and near active galactic nuclei. Further chapters demonstrate how to obtain useful astronomical information from raw telescope data while providing recommendations for appropriate observing strategies. Replete with maps, charts and references for further reading, this handbook will suit research astronomers and graduate students in

This comprehensive guide, by pioneers in the field, brings together, for the first time, everything a new researcher, graduate student or industry practitioner needs to get started in molecular communication. Written with accessibility in mind, it requires little background knowledge, and provides a detailed introduction to the relevant aspects of biology and information theory, as well as coverage of practical systems. The authors start by describing biological nanomachines, the basics of biological molecular communication and the microorganisms that use it. They then proceed to engineered molecular communication and the molecular communication paradigm, with mathematical models of various types of molecular communication and a description of the information and communication theory of molecular communication. Finally, the practical aspects of designing molecular communication systems are presented, including a review of the key applications. Ideal for engineers and biologists looking

The world's mid-ocean ridges form a single, connected global ridge system that is part of every ocean, and is the longest mountain range in the world. Geologically active, mid-ocean ridges are key sites of tectonic movement, intimately involved in seafloor spreading. This coursebook presents a multidisciplinary approach to the science of mid-ocean ridges – essential for a complete understanding of global tectonics and geodynamics. Designed for graduate and advanced undergraduate students, it will also provide a valuable reference for professionals in relevant fields. Background chapters provide a historical introduction and an overview of research techniques, with succeeding chapters covering the structure of the lithosphere and crust, and volcanic, tectonic and hydrothermal processes. A summary and synthesis chapter recaps essential points to consolidate new learning. Accessible to students and professionals working in marine geology, plate tectonics, geophysics, geodynamics, volcanis

This collection of specially commissioned essays by leading scholars presents research on Isaac Newton and his main philosophical interlocutors and critics. The essays analyze Newton's relation to his contemporaries, especially Barrow, Descartes, Leibniz and Locke and discuss the ways in which a broad range of figures, including Hume, Maclaurin, Maupertuis and Kant, reacted to his thought. The wide range of topics discussed includes the laws of nature, the notion of force, the relation of mathematics to nature, Newton's argument for universal gravitation, his attitude toward philosophical empiricism, his use of 'fluxions', his approach toward measurement problems and his concept of absolute motion, together with new interpretations of Newton's matter theory. The volume concludes with an extended essay that analyzes the changes in physics wrought by Newton's Principia. A substantial introduction and bibliography provide essential reference guides.

Law is too often perceived solely as state-based rules and institutions that provide a rational alternative to religious rites and ancestral customs. The Spirit of Hindu Law uses the Hindu legal tradition as a heuristic tool to question this view and reveal the close linkage between law and religion. Emphasizing the household, the family, and everyday relationships as additional social locations of law, it contends that law itself can be understood as a theology of ordinary life. An introduction to traditional Hindu law and jurisprudence, this book is structured around key legal concepts such as the sources of law and authority, the laws of persons and things, procedure, punishment and legal practice. It combines investigation of key themes from Sanskrit legal texts with discussion of Hindu theology and ethics, as well as thorough examination of broader comparative issues in law and religion.

The third edition of this classic textbook is a quantitative introduction for advanced undergraduates and graduate students. It gently guides students from Newton's gravitational theory to special relativity, and then to the relativistic theory of gravitation. General relativity is approached from several perspectives: as a theory constructed by analogy with Maxwell's electrodynamics, as a relativistic generalization of Newton's theory, and as a theory of curved spacetime. The authors provide a concise overview of the important concepts and formulas, coupled with the experimental results underpinning the latest research in the field. Numerous exercises in Newtonian gravitational theory and Maxwell's equations help students master essential concepts for advanced work in general relativity, while detailed spacetime diagrams encourage them to think in terms of four-dimensional geometry. Featuring comprehensive reviews of recent experimental and observational data, the text concludes with

This strong and timely collection provides fresh insights into how Shakespeare's plays and poems were understood to affect bodies, minds and emotions. Contemporary criticism has had surprisingly little to say about the early modern period's investment in imagining literature's impact on feeling. Shakespearean Sensations brings together scholarship from a range of well-known and new voices to address this fundamental gap. The book includes a comprehensive introduction by Katharine A. Craik and Tanya Pollard and comprises three sections focusing on sensations aroused in the plays; sensations evoked in the playhouse; and sensations found in the imaginative space of the poems. With dedicated essays on Hamlet, Macbeth, Othello and Twelfth Night, the collection explores how seriously early modern writers took their relationship with their audiences and reveals new connections between early modern literary texts and the emotional and physiological experiences of theatregoers.

Gravity surveys have a huge range of applications, indicating density variations in the subsurface and identifying man-made structures, local changes of rock type or even deep-seated structures at the crust/mantle boundary. This important one-stop book combines an introductory manual of practical procedures with a full explanation of analysis techniques, enabling students, geophysicists, geologists and engineers to understand the methodology, applications and limitations of a gravity survey. Filled with examples from a wide variety of acquisition problems, the book instructs students in avoiding common mistakes and misconceptions. It explores the increasing near-surface geophysical applications being opened up by improvements in instrumentation and provides more advance-level material as a useful introduction to potential theory. This is a key text for graduate students of geophysics and for professionals using gravity surveys, from civil engineers and archaeologists to oil and mineral

What is language and how can we investigate its acquisition by children or adults? What perspectives exist from which to view acquisition? What internal constraints and external factors shape acquisition? What are the properties of interlanguage systems? This comprehensive 31-chapter handbook is an authoritative survey of second language acquisition (SLA). Its multi-perspective synopsis on recent developments in SLA research provides significant contributions by established experts and widely recognized younger talent. It covers cutting-edge and emerging areas of enquiry not treated elsewhere in a single handbook, including third language acquisition, electronic communication, incomplete first language acquisition, alphabetic literacy and SLA, affect and the brain, discourse, and identity. Written to be accessible to newcomers as well as experienced scholars of SLA, the Handbook is organised into six thematic sections, each with an editor-written introduction.

Sustainable development is becoming the guiding principle for the twenty-first century. This textbook - based on the author's course and rigorously class-tested by his students - provides an introduction into patterns of past and present (un)sustainable development and into the emergence of the notion of sustainable development. It systematically surveys the key concepts, models and findings of the various scientific disciplines with respect to the major sustainability issues: energy, nature, agro-food and resource systems, and economic growth. System analysis and modelling is introduced and used as an integrating tool. Stories and worldviews are used to connect the quantitative and the qualitative and to offer the reader an understanding of relevant trends and events in context. Sustainability Science is an ideal textbook for advanced undergraduate and graduate level courses in sustainable development and in environmental and resource science and policy.

Sustainable development is becoming the guiding principle for the twenty-first century. This textbook - based on the author's course and rigorously class-tested by his students - provides an introduction into patterns of past and present (un)sustainable development and into the emergence of the notion of sustainable development. It systematically surveys the key concepts, models and findings of the various scientific disciplines with respect to the major sustainability issues: energy, nature, agro-food and resource systems, and economic growth. System analysis and modelling is introduced and used as an integrating tool. Stories and worldviews are used to connect the quantitative and the qualitative and to offer the reader an understanding of relevant trends and events in context. Sustainability Science is an ideal textbook for advanced undergraduate and graduate level courses in sustainable development and in environmental and resource science and policy.

How did the biological, brain and behavioural structures underlying human language evolve? When, why and where did our ancestors become linguistic animals, and what has happened since? This book provides a clear, comprehensive but lively introduction to these interdisciplinary debates. Written in an approachable style, it cuts through the complex, sometimes contradictory and often obscure technical languages used in the different scientific disciplines involved in the study of linguistic evolution. Assuming no background knowledge in these disciplines, the book outlines the physical and neurological structures underlying language systems, and the limits of our knowledge concerning their evolution. Discussion questions and further reading lists encourage students to explore the primary literature further, and the final chapter demonstrates that while many questions still remain unanswered, there is a growing consensus as to how modern human languages have arisen as systems by the interp

Aimed at graduates and researchers, and requiring only a basic knowledge of multi-variable calculus, this introduction to computer-based partial differential equation (PDE) modeling provides readers with the practical methods necessary to develop and use PDE mathematical models in biomedical engineering. Taking an applied approach, rather than using abstract mathematics, the reader is instructed through six biomedical example applications, each example characterized by step-by-step discussions of established numerical methods and implemented in reliable computer routines. Adopting this technique, the reader will understand how PDE models are formulated, implemented and tested. Supported by a set of rigorously tested general purpose PDE routines online, and with enhanced understanding through animations, this book will be ideal for anyone faced with interpreting large experimental data sets that need to be analyzed with PDE models in biomedical engineering.

How did the biological, brain and behavioural structures underlying human language evolve? When, why and where did our ancestors become linguistic animals, and what has happened since? This book provides a clear, comprehensive but lively introduction to these interdisciplinary debates. Written in an approachable style, it cuts through the complex, sometimes contradictory and often obscure technical languages used in the different scientific disciplines involved in the study of linguistic evolution. Assuming no background knowledge in these disciplines, the book outlines the physical and neurological structures underlying language systems, and the limits of our knowledge concerning their evolution. Discussion questions and further reading lists encourage students to explore the primary literature further, and the final chapter demonstrates that while many questions still remain unanswered, there is a growing consensus as to how modern human languages have arisen as systems by the interp

In most languages we find 'little words' which resemble a full word, but which cannot stand on their own. Instead they have to 'lean on' a neighbouring word, like the 'd, 've and unstressed 'em of Kim'd've helped'em ('Kim would have helped them'). These are clitics, and they are found in most of the world's languages. In English the clitic forms appear in the same place in the sentence that the full form of the word would appear in but in many languages clitics obey quite separate rules of placement. This book is the first introduction to clitics, providing a complete summary of their properties, their uses, the reasons why they are of interest to linguists and the various theoretical approaches that have been proposed for them. The book describes a whole host of clitic systems and presents data from over 100 languages.

Quantum physics allows entirely new forms of computation and cryptography, which could perform tasks currently impossible on classical devices, leading to an explosion of new algorithms, communications protocols and suggestions for physical implementations of all these ideas. As a result, quantum information has made the transition from an exotic research topic to part of mainstream undergraduate courses in physics. Based on years of teaching experience, this textbook builds from simple fundamental concepts to cover the essentials of the field. Aimed at physics undergraduate students with a basic background in quantum mechanics, it guides readers through theory and experiment, introducing all the central concepts without getting caught up in details. Worked examples and exercises make this useful as a self-study text for those who want a brief introduction before starting on more advanced books. Solutions are available online at www.cambridge.org/9781107014466.

In most languages we find 'little words' which resemble a full word, but which cannot stand on their own. Instead they have to 'lean on' a neighbouring word, like the 'd, 've and unstressed 'em of Kim'd've helped'em ('Kim would have helped them'). These are clitics, and they are found in most of the world's languages. In English the clitic forms appear in the same place in the sentence that the full form of the word would appear in but in many languages clitics obey quite separate rules of placement. This book is the first introduction to clitics, providing a complete summary of their properties, their uses, the reasons why they are of interest to linguists and the various theoretical approaches that have been proposed for them. The book describes a whole host of clitic systems and presents data from over 100 languages.

The problems of making inferences about the natural world from noisy observations and imperfect theories occur in almost all scientific disciplines. This 2006 book addresses these problems using examples taken from geophysical fluid dynamics. It focuses on discrete formulations, both static and time-varying, known variously as inverse, state estimation or data assimilation problems. Starting with fundamental algebraic and statistical ideas, the book guides the reader through a range of inference tools including the singular value decomposition, Gauss-Markov and minimum variance estimates, Kalman filters and related smoothers, and adjoint (Lagrange multiplier) methods. The final chapters discuss a variety of practical applications to geophysical flow problems. Discrete Inverse and State Estimation Problems is an ideal introduction to the topic for graduate students and researchers in oceanography, meteorology, climate dynamics, and geophysical fluid dynamics. It is also accessible to a

This book was first published in 2001. The Kosovo Conflict and International Law provides international lawyers, scholars and students with access to material on the conflict in Kosovo. As well as the basic material relating to Kosovo's status in Yugoslavia before 1999, this volume reproduces the significant documentation on the following issues: the development of the human rights situation, the diplomatic efforts for the settlement of the crisis, the military action against Yugoslavia and the international community's response, court action with regard to the conflict, and the implementation of the principles for a political solution with an international civil and security presence in Kosovo. Dr Krieger's analytical introduction provides the historical and political context as well as an overview of the various legal aspects of the conflict. A chronology and detailed index make the documents more accessible.

The Sorrows of Young Werther propelled Goethe to instant fame when it first appeared in 1774. Goethe's story of a sensitive young artist--an alienated youth of searching introspection and passionate intensity--captured the Romantic sensibility of the day and led to a wave of imitations. Translated by the award-winning author David Constantine, this new edition captures the novel's lyric clarity and powerful immediacy. In addition, Constantine's critical introduction sheds light on the autobiographical background, the novel's epistolary form and structure, and Werther's reception and afterlife. The explanatory notes illuminate contemporary allusions, literary references, and the parallels with Goethe's life.About the Series: For over 100 years Oxford World's Classics has made available the broadest spectrum of literature from around the globe. Each affordable volume reflects Oxford's commitment to scholarship, providing the most accurate text plus a wealth of other valuable features, in

This collection of specially commissioned essays by leading scholars presents research on Isaac Newton and his main philosophical interlocutors and critics. The essays analyze Newton's relation to his contemporaries, especially Barrow, Descartes, Leibniz and Locke and discuss the ways in which a broad range of figures, including Hume, Maclaurin, Maupertuis and Kant, reacted to his thought. The wide range of topics discussed includes the laws of nature, the notion of force, the relation of mathematics to nature, Newton's argument for universal gravitation, his attitude toward philosophical empiricism, his use of 'fluxions', his approach toward measurement problems and his concept of absolute motion, together with new interpretations of Newton's matter theory. The volume concludes with an extended essay that analyzes the changes in physics wrought by Newton's Principia. A substantial introduction and bibliography provide essential reference guides.

This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the

The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.

This full-color, user-friendly field guide covers the basics involved in the collection, cleaning, and storage of vegetable seeds. Learn from an expert how to overcome pests when storing seeds, and handle environmental factors that may threaten the integrity of your seeds. An introduction to identifying different varieties of seeds will make collecting easy for beginner and experienced collectors alike. Over 120 close-up color photographs of seeds gathered from vegetables are included in this encyclopedia-style guide. Each entry identifies the seed's family, common name, species, genera, and origin, and includes collection methods, a description of the number and color of seeds, useful hints for collection, and notes on growing the source plant. Gardeners around the world will appreciate this useful field guide when harvesting nature's bounty and preserving its genetic material for years and gardens to come.

This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are cover

This full-color, user-friendly field guide covers the basics involved in the collection, cleaning, and storage of garden flower seeds. Learn from an expert how to overcome pests when storing seeds, and handle environmental factors that may threaten the integrity of your seeds. An introduction to identifying different varieties of seeds will make collecting easy for beginner and experienced collectors alike. Over 150 close-up color photographs of seeds gathered from garden flowers are included in this encyclopedia-style guide. Each entry identifies the seed's family, common name, species, genera, and origin, and includes collection methods, a description of the number and color of seeds, useful hints for collection, and notes on growing the source plant. Gardeners around the world will appreciate this useful field guide when harvesting nature's bounty and preserving its genetic material for years and gardens to come.

Sophocles' Ajax describes the fall of a mighty warrior denied the honour which he believed was his due. This edition of the play presents a text and critical apparatus which take full advantage of advances in our understanding of Sophoclean manuscripts and scholarship. The introduction and commentary scrutinise all important aspects of the drama - from detailed analysis of style, language, and metre to consideration of wider issues such as ethics, rhetoric, and characterisation. Notorious dramaturgical problems, including the staging of Ajax's suicide, receive particular attention; so too do questions of literary history, such as the date of the play and Sophocles' creative interaction with previous accounts of the myth. The translation which accompanies the commentary ensures that this edition will be accessible to Hellenists of all levels of experience, as well as to readers with a general interest in the history of drama.

With increasingly low-cost and power-efficient RF electronics demanded by today's wireless communication systems, it is essential to keep up to speed with new developments. This book presents key advances in the field that you need to know about and emerging patterns in large-signal measurement techniques, modeling and nonlinear circuit design theory supported by practical examples. Topics covered include: • Novel large-signal measurement techniques that have become available with the introduction of nonlinear vector network analyzers (NVNA), such as the LSNA, PNA-X and SWAP • Direct extraction of device models from large-signal RF dynamic loadlines • Characterization of memory effects (self-heating, traps) with pulsed RF measurements • Interactive design of power-efficient amplifiers (PA) and oscillators using ultra-fast multi-harmonic active load-pull • Volterra and poly-harmonic distortion (X-parameters) behavioral modeling • Oscillator phase noise theory • Balancing, modeling and

This book addresses a gap in the model-theoretic understanding of valued fields that had limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part I of the book is a study of stably dominated types. These form a subset of the type space of a theory that behaves in many ways like the space of types in a stable theory. This part begins with an introduction to the key ideas of stability theory for stably dominated types. Part II continues with an outline of some classical results in the model theory of valued fields and explores the application of stable domination to algebraically closed valued fields. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part.

This 1983 book reports the proceedings of the eleventh European symposium on clinical pharmacy which was held in Brussels in October 1982. The theme of the symposium was the concept of the therapeutic team and the relative contributions and responsibilities of pharmacists, nurses and physicians to the planning and implementation of drug treatment regimens. The first section of the volume provides an introduction to the concept of the therapeutic team and reflects the views several medical professionals. The later sections cover the practice of the therapeutic team in parenteral nutrition, oncology, dermatology, epilepsy, internal medicine, nuclear medicine and drug selection. Not only did this book review achievements and experiences in clinical pharmacy, but it also looked towards the future of clinical pharmacy development in Europe. It will still be of significant interest to clinical pharmacy specialists today.

Games provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory relevant for applications in computer science that concern program design, synthesis, verification, testing and design of multi-agent or distributed systems. Originally devised for a Spring School organised by the GAMES Networking Programme in 2009, these lectures have since been revised and expanded, and range from tutorials concerning fundamental notions and methods to more advanced presentations of current research topics. This volume is a valuable guide to current research on game-based methods in computer science for undergraduate and graduate students. It will also in

Originally published in 1920, this volume contains book one of Euclid's Elements in Greek, together with an introduction and notes section written in English. It was created to provide young students with a contextual understanding of geometry and the development of geometrical principles, one which was increasingly neglected in the standard school textbooks of the time. By returning to the Elements in their original form it was hoped that students would gain a fundamental understanding of the ideas put forward in the text, one which would increase their knowledge and enthusiasm. It was also hoped that the dual process of learning Greek and geometry would be an effective way of impressing content on the mind of the learner. This volume will be of value to anyone with an interest in geometry and the development of pedagogy.

Robert Irwin's authoritative introduction to the fourth volume of The New Cambridge History of Islam offers a panoramic vision of Islamic culture from its origins to around 1800. The introductory chapter, which highlights key developments and introduces some of Islam's most famous protagonists, paves the way for an extraordinarily varied collection of essays. The themes treated include religion and law, conversion, Islam's relationship with the natural world, governance and politics, caliphs and kings, philosophy, science, medicine, language, art, architecture, literature, music and even cookery. What emerges from this rich collection, written by an international team of experts, is the diversity and dynamism of the societies which created this flourishing civilization. Volume four of The New Cambridge History of Islam serves as a thematic companion to the three preceding, politically oriented volumes, and in coverage extends across the pre-modern Islamic world.

This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional

Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses wi

This anthology of philosophical texts by Greek and Roman authors brings together works from the late fifth century BC to the sixth century AD that comment on major aesthetic issues such as the perception of beauty and harmony in music and the visual arts, structure and style in literature, and aesthetic judgement. It includes important texts by Plato and Aristotle on the status and the role of the arts in society and in education, and Longinus' reflections on the sublime in literature, in addition to less well-known writings by Philodemus, Cicero, Seneca, Plotinus, Augustine and Proclus. Most of the texts have been newly translated for this volume, and some are available in English for the first time. A detailed introduction traces the development of classical aesthetics from its roots in Platonism and Aristotelianism to its ultimate form in late Antiquity.

This anthology of philosophical texts by Greek and Roman authors brings together works from the late fifth century BC to the sixth century AD that comment on major aesthetic issues such as the perception of beauty and harmony in music and the visual arts, structure and style in literature, and aesthetic judgement. It includes important texts by Plato and Aristotle on the status and the role of the arts in society and in education, and Longinus' reflections on the sublime in literature, in addition to less well-known writings by Philodemus, Cicero, Seneca, Plotinus, Augustine and Proclus. Most of the texts have been newly translated for this volume, and some are available in English for the first time. A detailed introduction traces the development of classical aesthetics from its roots in Platonism and Aristotelianism to its ultimate form in late Antiquity.