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Approximation Theory XV: San Antonio 2016 (Springer Proceedings in Mathematics & Statistics #201)

These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22–25, 2016 in San Antonio, Texas. The conference was the fifteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 146 participants. The book contains longer survey papers by some of the invited speakers covering topics such as compressive sensing, isogeometric analysis, and scaling limits of polynomials and entire functions of exponential type. The book also includes papers on a variety of current topics in Approximation Theory drawn from areas such as advances in kernel approximation with applications, approximation theory and algebraic geometry, multivariate splines for applications, practical function approximation, approximation of PDEs, wavelets and framelets with applications, approximation theory in signal processing, compressive sensing, rational interpolation, spline approximation in isogeometric analysis, approximation of fractional differential equations, numerical integration formulas, and trigonometric polynomial approximation.

Approximation Theory XVI: Nashville, TN, USA, May 19-22, 2019 (Springer Proceedings in Mathematics & Statistics #336)

These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States. Over 130 mathematicians from 20 countries attended. The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.

Approximation und Interpolation durch verallgemeinerte Abtastsummen (Forschungsberichte des Landes Nordrhein-Westfalen #2708)

Approximation und Nichtlineare Optimierung in Praxisaufgaben: Anwendungen aus dem Finanzbereich und der Standortplanung (Studienbücher Wirtschaftsmathematik)

In diesem Buch wird die Vielgestaltigkeit von Optimierung und Approximation zusammen mit ihrem breiten Umfeld anhand von Aufgaben samt ihren Lösungen und nützlichen Anwendungen zum Ausdruck gebracht. Fachlich steht dabei im Vordergrund, Methoden der Angewandten Analysis zu nutzen, um die Struktur und Eigenschaften der Probleme zu erkennen und handhabbare Optimalitätsbedingungen herzuleiten, die die Behandlung der Aufgaben ermöglichen und vereinfachen. Viele praktische Aufgabenstellungen führen auf konvexe bzw. nichtkonvexe Optimierungsprobleme, Mehrkriterielle Optimierungsprobleme, Standortprobleme, Probleme der Risikotheorie, Versicherungsmathematik, Optimierungsprobleme mit Unsicherheiten und Modelle aus der Signaltheorie, die in den behandelten Aufgaben diskutiert werden. Hinweise auf online verfügbare Software werden gegeben. Das Buch richtet sich an Studierende und Lehrende der Mathematik, Wirtschaftsmathematik, Informatik, Physik, den Wirtschafts- und Ingenieurwissenschaften (u.a. der Mechatronik).

Approximation with Positive Linear Operators and Linear Combinations (Developments in Mathematics #50)

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.

Approximations for Digital Computers (PDF)

Numerical analysts and computer operators in all fields will welcome this publication in book form of Cecil Hastings' well-known approximations for digital computers, formerly issued in loose sheets and available only to a limited number of specialists. In a new method that combines judgment and intuition with mathematics, Mr. Hasting has evolved a set of approximations which far surpasses in simplicity earlier approximations developed by conventional methods. Part I of this book introduces the collection of useful and illustrative approximations, each of which is presented with a carefully drawn error curve in Part II.Originally published in 1955.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Approximationstheorie auf der Einheitskugel im R3: Legendre-Transformationsmethoden und Anwendungen (Forschungsberichte des Landes Nordrhein-Westfalen #3090)

Appunti sulle equazioni differenziali ordinarie (UNITEXT)

Le equazioni differenziali sono un argomento fondamentale non solo della matematica, ma anche della fisica, dell’ingegneria e, in generale, di tutte le scienze. Questo volume intende fornire allo studente una panoramica di alcune tra le più interessanti e suggestive questioni relative alle equazioni differenziali ordinarie trattate da un punto di vista geometrico, aprendo uno sguardo verso l’analisi funzionale. Oltre ai risultati classici sulle equazioni lineari, molto spazio è dato ai problemi nonlineari che spesso non sono oggetto dei corsi istituzionali.L'esposizione è tenuta a un livello semplice in modo che il libro possa essere accessibile a studenti dell’ultimo anno della laurea triennale e della laurea magistrale, offrendo anche spunti per ulteriori approfondimenti.

Aqa Gcse Mathematics For Higher Sets

Written by senior examiners and practising teachers, this higher book has been written to support the AQA GCSE Maths 2010 specification changes.

Aqa Gcse Mathematics Higher (PDF)

Written to cover the AQA GCSE Mathematics A modular specification (Unit 3, Higher), our student book targets the skills and knowledge required for the exam. Functional mathematics is integrated throughout providing an emphasis on applying mathematics in a real-life context.

AQA A Level Chemistry Year 2 Paper 1: (PDF) (Collins Student Support Materials Ser.)

Checked by AQA examiners, this is an essential study and revision guide for the 2015 AQA A-level Year 2 Chemistry specification concentrating on inorganic chemistry and related physical chemistry topics for Paper 1. •Tackle new-style written exam questions with guidance on practical and mathematical skills •Avoid common mistakes and get advice on exams with Exam Notes •Focus on just the content you need with Essential Notes •Memorise terminology for required practicals and mathematical and Working Scientifically aspects •Practise exam-style questions

Aqa A Level Chemistry Year 2 Paper 2: (PDF) (Collins Student Support Materials Series)

Checked by AQA examiners, this is an essential study and revision guide for the 2015 AQA A-level Year 2 Chemistry specification concentrating on organic chemistry and related physical chemistry topics for Paper 2. •Tackle new-style written exam questions with guidance on practical and mathematical skills •Avoid common mistakes and get advice on exams with Exam Notes •Focus on just the content you need with Essential Notes •Memorise terminology for required practicals and mathematical and Working Scientifically aspects •Practise exam-style questions

AQA A Level Further Mathematics Core Year 2 (PDF)

Exam board: AQA Level: A-level Subject: Mathematics First teaching: September 2017 First exams: Summer 2019 Develop your students' knowledge, skills and understanding so that they can reason and apply mathematical techniques in solving problems; with resources developed specifically for the AQA specification by subject specialists and MEI (Mathematics in Education and Industry). - Ensure targeted development of reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques. - Help build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics. - Develop understanding, address misconceptions and progress skills further with a variety of worked examples and solutions, practice questions and activities. - Enhance individual understanding with discussion points designed for the classroom. - Consolidate understanding with end of chapter summaries of the key points. - Reinforce Year 1 content with short review chapters.

AQA A Level Further Mathematics Discrete (PDF)

Exam board: AQALevel: A-levelSubject: MathematicsFirst teaching: September 2017First exams: Summer 2019Whiteboard eTextbooks are online, interactive versions of the printed textbooks that are ideal for front-of-class teaching and lesson planning. The Whiteboard eTextbooks link seamlessly with MEI Integral Further Mathematics online resources, allowing you to move with ease between corresponding topics in the eTextbooks and Integral.Integral has been developed by MEI and supports teachers and students with high quality teaching and learning activities, including dynamic resources and self-marking tests and assessments that cover the new specifications.To have full access to the eTextbooks and Integral resources you must be subscribed to both Dynamic Learning and Integral. To subscribe to Integral, visit www.integralmaths.org. For more information on our eTextbooks and Integral please see the Quick Links box.Provide full support for the AQA Discrete content of the new specification with worked examples, stimulating activities and assessment support to help develop understanding, reasoning and problem solving. - Help prepare students for assessment with skills-building activities and fully worked examples and solutions tailored to the changed criteria.- Build understanding through carefully worded expositions that set out the basics and the detail of each topic, with call-outs to add clarity.- Test knowledge and develop understanding, reasoning and problem solving with banded Exercise questions that increase in difficulty (answers provided in the back of the book and online). - Gain a full understanding of the logical steps that are used in creating each individual algorithm - Encourages students to track their progress using learning outcomes and Key Points listed at the end of each chapter.

AQA A Level Further Mathematics Mechanics (PDF)

Achieve your full potential with learning materials that guide you through the Mechanics content of the new AS and A-level specifications; developed by subject experts and authors sourced from MEI.- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that improve mathematical techniques.- Overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Build connections between topics with points of interest and links to real-world examples.- Consolidate understanding with end-of-chapter summaries of the key points.

AQA A Level Further Mathematics Statistics eBook (PDF)

Build your knowledge and understanding with guidance and assessment preparation covering the Statistics options of the new AS and A-level specifications, from a team of subject experts and authors sourced from MEI.- Build reasoning and problem-solving skills with practice questions and well-structured exercises that improve statistical techniques.- Develop a fuller understanding of statistics concepts with real world examples that help build connections between topics and develop modelling skills.- Address misconceptions and develop problem-solving with annotated worked examples.- Supports you at every stage of your learning with graduated exercises that improve understanding and measure progress.

AQA A Level Further Maths: Year 1 / AS Level Student Book

This Student Book provides full support for both AQA's new linear AS Level Further Maths specification, and for the first year of the full A Level course. It covers both the compulsory content (further pure) and all the optional content (mechanics, statistics and discrete maths).

AQA A Level Further Maths: Year 2 Student Book

This Student Book provides full support for the second year of AQA's new specification. Covering both the compulsory content (further pure) and all the optional content (mechanics, statistics and discrete maths), it offers dedicated problem-solving exercises, along with abundant worked examples.

AQA A-level Geography Student Guide 3: Hazards; Population and the Environment (PDF)

Exam Board: AQA Level: AS/A-level Subject: Geography First Teaching: September 2016 First Exam: June 2018 Reinforce students' geographical understanding throughout their course; clear topic summaries with sample questions and answers help students improve their exam technique and achieve their best. Written by a teacher with extensive examining experience, this guide: - Helps students identify what they need to know with a concise summary of the topics examined at AS and A-level - Consolidates understanding through assessment tips and knowledge-check questions - Offers opportunities for students to improve their exam technique by consulting sample graded answers to exam-style questions - Develops independent learning and research skills - Provides the content students need to produce their own revision notes

AQA A Level Mathematics Year 1 (AS)

Exam Board: AQALevel: AS/A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018AQA ApprovedGive students the confidence to identify connections between topics and apply their reasoning to mathematical problems, so as to develop a deeper understanding of mathematical concepts and their applications, with resources developed with subject specialists and MEI (Mathematics in Education and Industry).- Prepare students for assessment with plenty of practice questions, worked examples and skill-focused exercises. - Help build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance understanding of problem-solving, proof and modelling with dedicated sections on these key areas.- Address the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets.- Supports the use of technology with activities based around the use of spreadsheets, graphing software and graphing calculators. - Provide clear paths of progression that combine pure and applied maths into a coherent whole.

AQA A Level Mathematics Year 2

Exam Board: AQALevel: AS/A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018AQA ApprovedGive students the confidence to identify connections between topics and apply their reasoning to mathematical problems, so as to develop a deeper understanding of mathematical concepts and their applications, with resources developed with subject specialists and MEI (Mathematics in Education and Industry).- Prepare students for assessment with plenty of practice questions, worked examples and skill-focused exercises. - Help build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance understanding of problem-solving, proof and modelling with dedicated sections on these key areas.- Address the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets.- Supports the use of technology with activities based around the use of spreadsheets, graphing software and graphing calculators. - Provide clear paths of progression that combine pure and applied maths into a coherent whole.- Reinforce Year 1 content with short review chapters.

Aqa A Level Maths: A Level Aqa A Level Maths Year 1 Student Book: Bridging Edition

Approved by AQA, this Student Book provides full support for AS Level Maths and Year 1 of the full A Level (2017 specification). Bridging units at the start of each chapter provide the perfect springboard to support students in their transition from GCSE. Concise recap sections and abundant fluency-style questions ensure the whole class can be brought to the same level of readiness for A Level. The main chapters cover the full AS specification across pure, mechanics and statistics. Clear and concise explanations are supported by extensive worked examples showing key techniques and common pitfalls. For each topic, students can check their understanding with a fluency-style exercise before advancing to a dedicated problem-solving exercise. This book supports the major changes in assessment style for the 2017 specification, with an assessment at the end of each chapter written in the new exam style, and with revision exercises that test synoptically across the syllabus. The statistics content has been fully updated to support AQA's new 2018 Large data set (car data). Short answers are in the back of the book, while full step-by-step solutions are provided free online. MyMaths links appear at the bottom of all exercises, providing a quick route to further practice and support. Additional support is available online via Oxford's widely acclaimed Kerboodle platform.

AQA A Level Maths: AS Level Exam h2018

This book provides mock papers for the new 2017 AQA AS Level (first exams in 2018). Mock papers are the ideal revision resource for AS Level maths, and these have been created to perfectly match the style and content of the new linear exams. The book contains 3 sets of AS papers, therefore six papers in total. With rubric at the front, and space to write answers directly onto the page, this book provides realistic practice of the actual exam. Answers are in the back of the book with the full mark scheme available online.

AQA A Level Maths: Year 1/AS Student Book (PDF)

This Student Book has been approved by AQA and provides full support for both AQA's new linear AS Level specification, and for the first year of the full A Level course. Covering all the pure maths, mechanics and statistics content needed, the book provides dedicated exercises in every chapter for exam-style problem-solving and modelling questions. Dedicated revision exercises test synoptically across the curriculum. Throughout the book, the explanatory text isclear and concise, with abundant worked examples to show how key techniques can be used and common pitfalls to avoid. Short answers are in the back of the book, while full step-by-step solutions areprovided online. MyMaths links appear at the bottom of all exercises, providing a quick route to further practice and support.

AQA A Level Maths: Year 1 and 2 Combined Student Book (PDF)

This Student Book provides full support for AQA's new linear AS Level and A Level specifications. Covering all the pure maths, mechanics and statistics content needed, the book provides dedicated exercises in every chapter for exam-style problem-solving and modelling questions. Dedicated revision exercises test synoptically across the curriculum. Throughout the book, the explanatory text is clear and concise, with abundant worked examples to show how key techniques can be used and common pitfalls to avoid. Short answers are in the back of the book, while full step-by-step solutions are provided online. MyMaths links appear at the bottom of all exercises, providing a quick route to further practice and support.