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Yamabe-type Equations on Complete, Noncompact Manifolds (Progress in Mathematics #302)
by Paolo Mastrolia Marco Rigoli Alberto G SettiThe aim of this monograph is to present a self-contained introduction to some geometric and analytic aspects of the Yamabe problem. The book also describes a wide range of methods and techniques that can be successfully applied to nonlinear differential equations in particularly challenging situations. Such situations occur where the lack of compactness, symmetry and homogeneity prevents the use of more standard tools typically used in compact situations or for the Euclidean setting. The work is written in an easy style that makes it accessible even to non-specialists.After a self-contained treatment of the geometric tools used in the book, readers are introduced to the main subject by means of a concise but clear study of some aspects of the Yamabe problem on compact manifolds. This study provides the motivation and geometrical feeling for the subsequent part of the work. In the main body of the book, it is shown how the geometry and the analysis of nonlinear partial differential equations blend together to give up-to-date results on existence, nonexistence, uniqueness and a priori estimates for solutions of general Yamabe-type equations and inequalities on complete, non-compact Riemannian manifolds.
Yang–Baxter Deformation of 2D Non-Linear Sigma Models: Towards Applications to AdS/CFT (SpringerBriefs in Mathematical Physics #40)
by Kentaroh YoshidaIn mathematical physics, one of the fascinating issues is the study of integrable systems. In particular, non-perturbative techniques that have been developed have triggered significant insight for real physics. There are basically two notions of integrability: classical integrability and quantum integrability. In this book, the focus is on the former, classical integrability. When the system has a finite number of degrees of freedom, it has been well captured by the Arnold–Liouville theorem. However, when the number of degrees of freedom is infinite, as in classical field theories, the integrable structure is enriched profoundly. In fact, the study of classically integrable field theories has a long history and various kinds of techniques, including the classical inverse scattering method, which have been developed so far. In previously published books, these techniques have been collected and well described and are easy to find in traditional, standard textbooks. One of the intriguing subjects in classically integrable systems is the investigation of deformations preserving integrability. Usually, it is not considered systematic to perform such a deformation, and one must study systems case by case and show the integrability of the deformed systems by constructing the associated Lax pair or action-angle variables. Recently, a new, systematic method to perform integrable deformations of 2D non-linear sigma models was developed. It was invented by C. Klimcik in 2002, and the integrability of the deformed sigma models was shown in 2008. The original work was done for 2D principal chiral models, but it has been generalized in various directions nowadays. In this book, the recent progress on this Yang–Baxter deformation is described in a pedagogical manner, including some simple examples. Applications of Yang–Baxter deformation to string theory are also described briefly.
YARN Essentials
by Amol Fasale Nirmal KumarIf you have a working knowledge of Hadoop 1.x but want to start afresh with YARN, this book is ideal for you. You will be able to install and administer a YARN cluster and also discover the configuration settings to fine-tune your cluster both in terms of performance and scalability. This book will help you develop, deploy, and run multiple applications/frameworks on the same shared YARN cluster.
Year 1 Maths Targeted Practice Workbook (PDF)
by Collins Collins Ks1When it comes to getting the best results, practice really does make perfect! Matched to the National Curriculum, this Collins Maths Year 1 workbook is designed to target every Maths Year 1 topic in depth. Using a repeated practice method that is proven to work, this book improves performance in school, as well as in tests and assessments. Questions for each topic are organised into three levels of increasing difficulty while progress tests throughout check children’s understanding along the way. Children can record their own results too, supporting awareness and boosting confidence. A handy pull-out answer section is also included to ensure every child can succeed in Year 1.
Year 2 Maths Sats Targeted Practice Workbook: For The 2021 Tests (PDF)
by Collins Uk Staff Collins Ks1 StaffWhen it comes to getting the best results, practice really does make perfect! Matched to the National Curriculum, this Collins Maths Year 2 workbook is designed to target every Maths Year 2 topic in depth. Using a repeated practice method that is proven to work, this book improves performance in tests and assessments. Questions for each topic are organised into three levels of increasing difficulty while progress tests throughout check children’s understanding along the way. Children can record their own results too, supporting awareness and boosting confidence.
Year 3 Language For Maths (PDF)
by Keen Kite Keen Kite BooksHelp children untangle the language of SATs reasoning questions – though collaborative activities and guidance on vocab. Perfect for EAL and any children who require additional language support. Help children untangle the language of reasoning questions.
Year 3 Maths Targeted Practice Workbook (PDF)
by Collins Collins Ks2When it comes to getting the best results, practice really does make perfect! Matched to the National Curriculum, this Collins Maths Year 3 workbook is designed to target every Maths Year 3 topic in depth. Using a repeated practice method that is proven to work, this book improves performance in school, as well as in tests and assessments. Questions for each topic are organised into three levels of increasing difficulty while progress tests throughout check children’s understanding along the way. Children can record their own results too, supporting awareness and boosting confidence. A handy pull-out answer section is also included to ensure every child can succeed in Year 3.
Year 3 Textbook (PDF)
by Caroline Clissold Heather Davis Linda Glithro Steph King Belle CottinghamThe full-colour, engaging Textbook for Year 3 is designed to aid high-quality teaching and learning. Characters introduce and discuss a common misconception for each concept, supported by visual representations. A set of practice activities is provided per concept, offering bare practice, through to practice in context and then open-ended investigation, to build conceptual understanding. This textbook has been written and reviewed by mathematics experts with extensive classroom experience.
Year 4 Language For Maths (PDF)
by Keen Kite Keen Kite BooksHelp children untangle the language of SATs reasoning questions – though collaborative activities and guidance on vocab. Perfect for EAL and any children who require additional language support. Help children untangle the language of reasoning questions.
Year 5 Fractions, Decimals and Percentages Pupil Book (Ready, Steady, Practise!)
by Keen Kite BooksPupils can quickly get to grips with KS2 fractions, decimals and percentages using questions that become progressively more challenging. Fully in line with the new National Curriculum.
Year 5 Language For Maths (PDF)
by Keen Kite Keen Kite BooksHelp children untangle the language of SATs reasoning questions – though collaborative activities and guidance on vocab. Perfect for EAL and any children who require additional language support. Help children untangle the language of reasoning questions.
Year 5 Maths: Targeted Practice Workbook: Ages 9-10 (Collins Ks2 Practice Ser.)
by Collins StaffLevel: KS2 Subject: Maths When it comes to getting the best results, practice really does make perfect! Matched to the National Curriculum, this Collins Maths Year 5 workbook is designed to target every Maths Year 5 topic in depth. Using a repeated practice method that is proven to work, this book improves performance in tests and assessments. Questions for each topic are organised into three levels of increasing difficulty while progress tests throughout check pupil’s understanding along the way. Children can record their own results too, supporting awareness and boosting confidence. A handy pull-out answer section is also included to ensure every pupil is prepared ahead of their 2019 Maths Year 5 curriculum tests.
Year 6: New Curriculum Arithmetic Practice Tests Year 6 (PDF)
by Louise MooreThese photocopiable books contain six short arithmetic tests per term that will build number fluency to give children regular practice and the opportunity to become familiar with the type of questions that may arise in the new National Tests.
Year 6 Fractions, Decimals and Percentages Pupil Book: Maths KS2 (Ready, Steady, Practise!)
by Keen Kite BooksPupils can quickly get to grips with KS2 fractions, decimals and percentages using questions that become progressively more challenging. Fully in line with the new National Curriculum.
Year 6 Language For Maths (PDF)
by Keen Kite Keen Kite BooksHelp children untangle the language of SATs reasoning questions – though collaborative activities and guidance on vocab. Perfect for EAL and any children who require additional language support. Help children untangle the language of reasoning questions.
Year 6 Maths Ks2 Sats Targeted Practice Workbook: For The 2022 Tests (Collins Ks2 Sats Revision And Practice Ser.)
by Collins Collins Ks2Level: KS2Subject: MathsSuitable for 2022 SATsTargeted SATs practice for every topic taught at school!When it comes to getting the best results, practice really does make perfect! Matched the National Curriculum, this Collins Maths Year 6 workbook is designed to target every Maths Year 6 topic in depth. Using a repeated practice method that is proven to work, this book improves performance in tests and assessments. Questions for each topic are organised into three levels of increasing difficulty while progress tests throughout check pupil's understanding along the way. Children can record their own results too, supporting awareness and boosting confidence. A handy pull-out answer section is also included to ensure every pupil is prepared ahead of their 2021 Maths SATs Year 6 curriculum tests. For Year 6 English SATs, we've got another Collins KS2 Targeted Practice Workbook (9780008125189) available as well.
YEAR 6 MATHS SATS TARGETED PRACTICE WORKBOOK: 2019 tests (Collins KS2 Revision and Practice (PDF))
by Collins Ks2Matched to the requirements of the National Curriculum, this Maths practice workbook is designed to target every topic in Year 6 at Key Stage 2. Based on new research that proves repeated practice is more effective than repeated study, practice workbooks are guaranteed to help improve performance in tests and assessments. Included in this book: • Questions for every topic organised into three levels of increasing difficulty • Progress tests throughout the book for ongoing assessment • A section where children can record their results and track their own progress • A pull-out answer section
Yearning for the Impossible: The Surprising Truths of Mathematics, Second Edition
by John StillwellYearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.
Yearning for the Impossible: The Surprising Truths of Mathematics, Second Edition
by John StillwellYearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.
Years 6 - 8 Maths For Students
by Consumer DummiesYour tutor in a book! Master the essential mathematical skills for success! 'I don't know how to do this' is a refrain heard whilst many a student is doing homework. Parents are increasingly called on for assistance, but are themselves struggling to help their children. Years 6-8 Maths For Students is a reference guide for both students and parents, aiming to fill the gaps in a student's knowledge base, build confidence and reduce stress. Written with the same friendly, how-to approach of the successful For Dummies books, this new educational reference will empower students and develop their mathematical skills for exams, NAPLAN testing and, most importantly, life beyond secondary school. With worries that students are being taught to pass tests at the expense of understanding — this guide will help students cement their mathematical foundations. Grasp the nuts and bolts of numbers, algebra, geometry and measurement Helps students with maths as they transition from primary to secondary school Complete homework and prepare for tests with confidence Save money on expensive tutors. Years 6-8 Maths For Students empowers students to improve their educational outcomes.
Years 6 - 8 Maths For Students
by Consumer DummiesYour tutor in a book! Master the essential mathematical skills for success! 'I don't know how to do this' is a refrain heard whilst many a student is doing homework. Parents are increasingly called on for assistance, but are themselves struggling to help their children. Years 6-8 Maths For Students is a reference guide for both students and parents, aiming to fill the gaps in a student's knowledge base, build confidence and reduce stress. Written with the same friendly, how-to approach of the successful For Dummies books, this new educational reference will empower students and develop their mathematical skills for exams, NAPLAN testing and, most importantly, life beyond secondary school. With worries that students are being taught to pass tests at the expense of understanding — this guide will help students cement their mathematical foundations. Grasp the nuts and bolts of numbers, algebra, geometry and measurement Helps students with maths as they transition from primary to secondary school Complete homework and prepare for tests with confidence Save money on expensive tutors. Years 6-8 Maths For Students empowers students to improve their educational outcomes.
Years 9 - 10 Maths For Students
by Consumer DummiesYour tutor in a book! Master the essential mathematical skills for success! 'I don't know how to do this' is a refrain heard whilst many a student is doing homework. Parents are increasingly called on for assistance, but are themselves struggling to help their children. Years 9-10 Maths For Students is a reference guide for both students and parents, aiming to fill the gaps in a student's knowledge base, build confidence and reduce stress. Written with the same friendly, how-to approach of the successful For Dummies books, this new educational reference will empower students and develop their mathematical skills for exams, NAPLAN testing and, most importantly, life beyond secondary school. With worries that students are being taught to pass tests at the expense of understanding — this guide will help students cement their mathematical foundations. Grasp the nuts and bolts of numbers, algebra, geometry and measurement. Master simple to complex maths questions, including worded problems Complete homework and prepare for tests with confidence Save money on expensive tutors. Years 9-10 Maths For Students empowers students to improve their educational outcomes.
Years 9 - 10 Maths For Students
by Consumer DummiesYour tutor in a book! Master the essential mathematical skills for success! 'I don't know how to do this' is a refrain heard whilst many a student is doing homework. Parents are increasingly called on for assistance, but are themselves struggling to help their children. Years 9-10 Maths For Students is a reference guide for both students and parents, aiming to fill the gaps in a student's knowledge base, build confidence and reduce stress. Written with the same friendly, how-to approach of the successful For Dummies books, this new educational reference will empower students and develop their mathematical skills for exams, NAPLAN testing and, most importantly, life beyond secondary school. With worries that students are being taught to pass tests at the expense of understanding — this guide will help students cement their mathematical foundations. Grasp the nuts and bolts of numbers, algebra, geometry and measurement. Master simple to complex maths questions, including worded problems Complete homework and prepare for tests with confidence Save money on expensive tutors. Years 9-10 Maths For Students empowers students to improve their educational outcomes.
Yes, but why? Teaching for understanding in mathematics (Corwin Ltd)
by Ed SouthallGetting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. The essential guide for mathematics teachers and those training to teach, Yes, but why? answers all your questions, and sheds light on the hidden connections between everything in mathematics at school. This second edition includes: · A new ‘Test yourself’ feature in every chapter · More coverage of the four operations · Enhanced discussion of fractions and proportionality · Downloadable figures for use in the classroom
Yes, but why? Teaching for understanding in mathematics (Corwin Ltd)
by Ed SouthallGetting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. The essential guide for mathematics teachers and those training to teach, Yes, but why? answers all your questions, and sheds light on the hidden connections between everything in mathematics at school. This second edition includes: · A new ‘Test yourself’ feature in every chapter · More coverage of the four operations · Enhanced discussion of fractions and proportionality · Downloadable figures for use in the classroom