This book summarizes the enormous amount of material accumulated in the field of nuclear density functional theory over the last few decades. The goal of the theory is to provide a complete quantum-mechanical description and explanation of nuclear phenomena in terms of the local density distribution as a basic ingredient rather than the many-particle wavefunction. This leads to a considerable reduction in the mathematical complexity of nuclear many-body problems and to a great conceptual simplicity and visual clarity in its theoretical treatment. The authors develop the mathematical framework on which the theory is based and consider the associated approaches used to analyse experimental data in a variety of nuclei and nuclear processes with widely differing properties.

In the field of economic analysis, computability in the formation of economic hypotheses is seen as the way forward. In this book, Professor Velupillai implements a theoretical research program along these lines. Choice theory, learning rational expectations equlibria, the persistence of adaptive behaviour, arithmetical games, aspects of production theory, and economic dynamics are given recursion theoretic (i.e. computable) interpretations. These interpretations lead to new kinds of questions being posed by the economic theorist. In particular, recurison theoretic decision problems replace standard optimisation paradigms in economic analysis. Economic theoretic questions, posed recursion-theoretically, lead to answers that are ambiguous: undecidable choices, uncomputable learning processes, and algorithmically unplayable games become standard answers. Professor Velupillai argues that a recursion theoretic formalisation of economic analysisComputable Economicsmakes the subject intrinsically inductive and computational.

The UK's most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson's own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics. Our A level Mathematics Statistics and Mechanics Year 1 Practice Book helps you get exam-ready with confidence and practice at the right pace. Coverage: the practice workbooks cover all Pure, Statistics and Mechanics topics Quantity: the most A level question practice available, with over 2,000 extra questions per book Practice at the right pace: start with the essentials, build your skills with various practice questions to make connections between topics, then apply this to exam-style questions at the end of each chapter Get exam-ready with confidence: differentiated questions including 'Bronze, Silver, Gold' in each chapter, and a mixed problem-solving section for each book, will guide and help you to develop the skills you need for your exams Designed to be used flexibly, the practice books are fully mapped to the scheme of work and textbooks so you can use them seamlessly in and out of the classroom and all year round. Use them lesson by lesson, topic by topic, for homework, revision and more - the choice is yours Great value practice materials that are cheaper than photocopying, saves more time than independently sourcing questions and answers, and are all in one place Pearson Edexcel AS and A level Mathematics Statistics and Mechanics Year 1/AS Practice Book matches the Pearson Edexcel exam structure and is fully integrated with Pearson Edexcel's interactive scheme of work. Practice books are also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions. Pearson's revision resources are the smart choice for those revising for Pearson Edexcel AS and A level Mathematics - there is a Revision Workbook for exam practice and a Revision Guide for classroom and independent study. Practice Papers Plus+ books contain additional full length practice papers, so you can practice answering questions by writing straight into the book and perfect your responses with targeted hints, guidance and support for every question, including fully worked solutions.

The UK's most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson's own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics This book can be used alongside the Year 1 book to cover all the content needed for the Edexcel A level Pure Mathematics exams Enhanced focus on problem-solving and modelling, as well as supporting the large data set and calculators Packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises Full worked solutions to every question available free and online for quick and easy access. Plus free additional online content with GeoGebra interactives and Casio calculator tutorials Practice books also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions Includes access to an online digital edition (valid for 3 years once activated) Pearson Edexcel A level Mathematics Pure Mathematics Year 2 Textbook + e-book matches the Pearson Edexcel exam structure and is fully integrated with Pearson Edexcel's interactive scheme of work. All of the books in this series focus on problem-solving and modelling, as well as supporting the large data set and calculators. They are packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises. There are full worked solutions to every question available free and online for quick and easy access. You will also have access to lots of free additional online content with GeoGebra interactives and Casio calculator tutorials. There are separate Pure and Applied textbooks for AS and A level Maths, and a textbook per option for AS and A level Further Maths. Practice books are also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions. Pearson's revision resources are the smart choice for those revising for Pearson Edexcel AS and A level Mathematics - there is a Revision Workbook for exam practice and a Revision Guide for classroom and independent study. Practice Papers Plus+ books contain additional full length practice papers, so you can practice answering questions by writing straight into the book and perfect your responses with targeted hints, guidance and support for every question, including fully worked solutions.

Developed for the new International A Level specification, these new resources are specifically designed for international students, with a strong focus on progression, recognition and transferable skills, allowing learning in a local context to a global standard. Recognised by universities worldwide and fully comparable to UK reformed GCE A levels. Supports a modular approach, in line with the specification. Appropriate international content puts learning in a real-world context, to a global standard, making it engaging and relevant for all learners. Reviewed by a language specialist to ensure materials are written in a clear and accessible style. The embedded transferable skills, needed for progression to higher education and employment, are signposted so students understand what skills they are developing and therefore go on to use these skills more effectively in the future. Exam practice provides opportunities to assess understanding and progress, so students can make the best progress they can.

Endorsed by Eduqas, this Study and Revision Guide supports you in preparing for your assessment. / Written by experienced teachers and examiners, it provides essential underpinning knowledge to recap and revise as well as supporting the development of skills you need to correctly interpret and answer the exam questions. / An exam practice and technique section offers advice on how exam questions are set and marked. / Plenty of practice questions are included with teacher commentaries. / Grade boost tips help refine exam technique, improve grades and avoid common mistakes. / Numerous diagrams clearly explain each concept. / Pointers focus on understanding and using the underpinning knowledge. / Key terms are clearly defined on each page. / Quickfire questions check and reinforce your understanding.

The purpose of this book is to provide an update on some of the latest research and applications in the broad field of ionic liquids. This volume spans research and development activities ranging from fundamental and experimental investigations to commercial applications. A brief history of the field is included, as well as both new developments and reviews organized in the general topical areas of applications, materials, biomass processing, and fundamental studies. This book attempts to propel the field forward by bringing together contributions from some of the foremost researchers on ionic liquids. Recent products and new large-scale processes using ionic liquids, both in operation and being announced, indicate that an exciting new chapter in this field is about to begin. The authors summarize some of the history, applications, conferences, books, databases, issues related to data quality and toxicity for researchers working in the field of ionic liquids and includes an overview for each proceeding chapter with an introduction about the authors.

Developed for the new International A Level specification, these new resources are specifically designed for international students, with a strong focus on progression, recognition and transferable skills, allowing learning in a local context to a global standard. Recognised by universities worldwide and fully comparable to UK reformed GCE A levels. Supports a modular approach, in line with the specification. Appropriate international content puts learning in a real-world context, to a global standard, making it engaging and relevant for all learners. Reviewed by a language specialist to ensure materials are written in a clear and accessible style. The embedded transferable skills, needed for progression to higher education and employment, are signposted so students understand what skills they are developing and therefore go on to use these skills more effectively in the future. Exam practice provides opportunities to assess understanding and progress, so students can make the best progress they can.

Beverages derived from fruits and vegetables are a rich source of vitamin C, carotenoids, phenolics and polyphenolics as well as other bioactives. The bioactives in nutraceutical beverages may act synergistically with one another and their effect may be amplified through fortification, cultivating practices, or biotechnological means. This book discusses factors in the formulation, chemistry, nutrition, and health effects of nutraceutical beverages.

In the Pre-Cambrian era there were no image-forming eyes, and organisms just had basic light receptors to tell the difference between light and dark. For colour to exist there needs to be light, an image-forming eye and a brain to process the data.Around 543 million years ago roughly six major groups of animals existed. Approximately 20 million years later, a blink of the eye in evolutionary history, there were 38 groups - similar to the number that exists today. This dramatic increase may be explained by the evolution of image-forming eyes. With the world suddenly in focus for many species, the benefit of being able to hide oneself, appear threatening or attractive and communicate with one's own species became much more acute.Drawing on spectacular specimens from the Museum's collections, Colour and Vision looks at the evolution of the eye, the uses of colour in nature, from a warning or disguise to an irresistible invitation, and explains how colour works.

For one- or two-semester junior or senior level courses in Advanced Calculus, Analysis I, or Real Analysis. This text prepares students for future courses that use analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced students while encouraging and helping weaker students. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind the mathematics and enabling them to construct their own proofs.

Energy, water, affordable healthcare and global warming are four major concerns resulting from resource depletion, record high oil prices, clean water shortages, high costs of pharmaceuticals, and changing climate conditions. Among many potential solutions, advance in membrane technology is one of the most direct, effective and feasible approaches to solve these sophisticated issues. This membrane book presents cutting-edge membrane research and development for water reuse and desalination, energy development including biofuels, CO2 capture, pharmaceutical purification and separation, and biomedical applications.

Learn everything you need to know about Calculus and practice your reasoning and practical skills with a high-end textbook suitable for a wide range of course levels. Calculus: A Complete Course, 10th Edition by Robert Adams and Christopher Essex is the ultimate guide written by two leading authors in the field that continues to build its solid core following the successful pattern of its previous editions. With its reader-friendly language, the textbook holds a reputation for excellent accuracy and mathematical rigour, offering you study material suitable to cover a standard semester course, as well as high-end content that will help you further explore some of the unique topics and approaches in the landscape of Mathematics. Adding important, but overlooked topics while clarifying old ones, this edition will help you develop and practice your reasoning skills and apply techniques you have learned to concrete situations. Some of the topics this edition explores include: Sufficient conditions for maxima and minima in higher dimensions: this is the only mainstream textbook that covers the topic sufficiently. The fuzzy topic of metrics: the text explores and addresses any issues and questions, leading to new gateway topics, including spherical geometry (as in navigation) and special relativity, which emerge rather effortlessly once the metric concept is in place properly. Computers and mathematics through Maple and now Python: there is no other Calculus book that deals better with the topic while treating unique but important applications from information theory to Levy distributions. With a wide variety of exercises and useful features to support your learning, this unique edition continues to aspire to the definition of its subtitle of "A Complete Course." Also available with MyLab (R) Math MyLab is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLabMath personalises the learning experience and improves results for each student. If you would like to purchase both the physical text and MyLab (R) Math, search for: 9780135732595 Calculus: A Complete Course, 10th Edition plus MyLab Math with Pearson eText -- Access Card Package Package consists of: 9780135732588 Calculus: A Complete Course, 10th Edition 9780135732526 Calculus: A Complete Course, 10th Edition MyLab (R) Math -- Standalone Access Card MyLab (R) Math is not included. Students, if MyLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

Blitzer continues to raise the bar with his engaging applications developed to motivate students from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author's unique background in art, psychology, and math to present math in the context of real-world applications. Students in this course are not math majors, and they may never take a subsequent math course, so they are often nervous about taking the class. Blitzer understands those students' needs and provides helpful tools in every chapter to help them master the material. Voice balloons appear right when students need them, showing what an instructor would say when leading a student through the problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice. The Fifth Edition's MyMathLab(R) course boasts more than 2,000 assignable exercises, plus a new question type for applications-driven questions that correlate to section openers in the textbook. Chapter Test Prep Videos show students how to work out solutions to the Chapter Tests; the videos are available on DVD, in MyMathLab, and on YouTube(TM).

Building on a long tradition of effective pedagogy and comprehensive coverage, The Cosmic Perspective, Seventh Edition provides a thoroughly engaging and up-to-date introduction to astronomy for non-science majors. The text provides a wealth of features that enhance student skill-building, including new group work exercises that engage students in active learning, helping them retain concepts longer and build communication skills for the future. The Seventh Edition has also been fully updated to include the latest astronomical observations, results from recent space missions, and new theoretical developments that inform our understanding of the early universe. This text is also available in two volumes, which can be purchased separately: * The Cosmic Perspective: The Solar System, Seventh Edition (includes Chapters 1-13, 24) * The Cosmic Perspective: Stars, Galaxies, and Cosmology, Seventh Edition (includes Chapters 1-6, S2-S4, 14-24)

Developed for the new International A Level specification, these new resources are specifically designed for international students, with a strong focus on progression, recognition and transferable skills, allowing learning in a local context to a global standard. Recognised by universities worldwide and fully comparable to UK reformed GCE A levels. Supports a modular approach, in line with the specification. Appropriate international content puts learning in a real-world context, to a global standard, making it engaging and relevant for all learners. Reviewed by a language specialist to ensure materials are written in a clear and accessible style. The embedded transferable skills, needed for progression to higher education and employment, are signposted so students understand what skills they are developing and therefore go on to use these skills more effectively in the future. Exam practice provides opportunities to assess understanding and progress, so students can make the best progress they can.

Chiral molecules are ubiquitous in nature. Thus, it is not surprising to come across this phenomenon in the world of flavor substances. This book provides an overview on the analytical procedures currently applied to analyze chiral flavor substances at trace levels. It demonstrates several examples for the application of these techniques to determine naturally occurring enantiomeric compositions of chiral key flavor compounds in various natural systems. In addition to the analytical aspects, the contributions focus on the sensory properties of enantiomers and enlarge our knowledge on the correlation between configurations and odor properties and intensities of chiral flavor compounds. The practical importance of the topic is reflected by a discussion of merits and limitations of chiral analysis for the authenticity control of food flavorings. In addition, examples for the use of enzymes and microorganisms to obtain enantiopure flavor substances and thus to meet legal requirements for "natural" labeling are presented. Finally, the book covers aspects recently getting more and more in the focus of flavor science: What are the physiological mechanisms underlying the perception of sensory properties and does chirality matter in that respect?

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.

Exam Board: OCR Level: A level Subject: Science / Biology First teaching: September 2015 First exams: June 2017 An ActiveBook is included with every Student Book, giving your students easy online access to the content in the Student Book. They can make it their own with notes, highlights and links to their wider reading. Perfect for supporting work and revision activities. Student Book 1 supports a standalone AS course and provides the first year of a two-year A level course; Student Books 1 and 2 together support the full A level course. A cumulative approach to learning constantly builds on what has previously been taught. The chapter openers highlight prior learning requirements and link to future learning. The required maths skills are highlighted at the start of each chapter providing opportunities for students to check understanding and remedy gaps. Bigger spreads require students to read real-life material that's relevant to the course and use knowledge in new contexts. Accompanying questions require students to analyse how scientists write, think critically and consider issues. Preparing for your exams sections highlight the key differences between preparing for an AS and full A level exam. Practice question spreads provide opportunities for students to regularly check their understanding using questions written in the style of the new exams from day one.

The field of quantum chemistry has grown so immensely that the importance of some of the earliest work and the earliest pioneers of quantum chemistry is unfamiliar to many of today's youngest scientists in the field. Thus, this book is an attempt to preserve some of the very valuable, early history of quantum chemistry, providing the reader with not only a perspective of the science, but a perspective of the early pioneers themselves, some of whom were quite interesting characters. The symposium on which this book is based came about because one of the co-editors (ETS) came to a conviction that the contributions such as those by George Wheland to quantum chemistry and Otto Schmidt to free electron theory should be better appreciated and known. He organized a symposium in which quantum chemistry pioneers, both those celebrated by everyone and those seemingly overlooked by posterity, would be recognized. While this volume is certainly not a history of quantum chemistry, it does cover many highlights over a period of about sixty years. This volume consists of chapters based upon ten of the presentations at the symposium "Pioneers of Quantum Chemistry" held March 28, 2011, at the 241st ACS National Meeting in Anaheim, CA.

Developed for the new International A Level specification, these new resources are specifically designed for international students, with a strong focus on progression, recognition and transferable skills, allowing learning in a local context to a global standard. Recognised by universities worldwide and fully comparable to UK reformed GCE A levels. Supports a modular approach, in line with the specification. Appropriate international content puts learning in a real-world context, to a global standard, making it engaging and relevant for all learners. Reviewed by a language specialist to ensure materials are written in a clear and accessible style. The embedded transferable skills, needed for progression to higher education and employment, are signposted so students understand what skills they are developing and therefore go on to use these skills more effectively in the future. Exam practice provides opportunities to assess understanding and progress, so students can make the best progress they can.

Developed for the new International A Level specification, these new resources are specifically designed for international students, with a strong focus on progression, recognition and transferable skills, allowing learning in a local context to a global standard. Recognised by universities worldwide and fully comparable to UK reformed GCE A levels. Supports a modular approach, in line with the specification. Appropriate international content puts learning in a real-world context, to a global standard, making it engaging and relevant for all learners. Reviewed by a language specialist to ensure materials are written in a clear and accessible style. The embedded transferable skills, needed for progression to higher education and employment, are signposted so students understand what skills they are developing and therefore go on to use these skills more effectively in the future. Exam practice provides opportunities to assess understanding and progress, so students can make the best progress they can.