Ray's New Higher Arithmetic
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How Pupils Solve Problems in Arithmetic; bulletin No. 44
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Rapid Figuring [microform]
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Fundamental Concepts of Arithmetic
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Adventures With Numbers
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Advances in Trefftz Methods and Their Applications
In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogether, and therefore going beyond the reduction of the mesh to a boundary. These Trefftz methods have advantages in several engineering applications, for instance in inverse problems where the domain is unknown and some numerical methods would require a remeshing approach.Trefftz methods are also known to perform very well with regular domains and regular data in boundary value problems, achieving exponential convergence. On the other hand, they may also under certain conditions, exhibit instabilities and lead to ill-conditioned systems. This book is divided into ten chapters that illustrate recent advances in Trefftz methods and their application to engineering problems. The first eight chapters are devoted to the MFS and variants whereas the last two chapters are devoted to related meshless engineering applications. Part of these selected contributions were presented in the 9th International Conference on Trefftz Methods and 5th International Conference on the MFS, held in 2019, July 29-31, in Lisbon, Portugal.
The Bayne-Sylvester Arithmetic,
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![Handbook to the New Hamblin Smith's Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/4372/9781014594372m.webp "Handbook to the New Hamblin Smith's Arithmetic [microform]")
Handbook to the New Hamblin Smith's Arithmetic [microform]
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Elementary Arithmetic in Decimal Currency Designed for the Use of Canadian Schools [microform]
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Elementary Arithmetic for Public Schools [microform]
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Learning to Use Arithmetic, Book 4; 4
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Harper's Graded Arithmetics Second Book in Arithmetic
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Supplementary Exercises in Arithmetic [microform]
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![Canadian Arithmetic in Decimal Currency [microform]](https://cdn.kingstone.com.tw/english/images/product/8715/9781015338715m.webp "Canadian Arithmetic in Decimal Currency [microform]")
Canadian Arithmetic in Decimal Currency [microform]
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First Canadian Arithmetic [microform]
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![Progressive Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/6612/9781015266612m.webp "Progressive Arithmetic [microform]")
Progressive Arithmetic [microform]
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How to Make a Course of Study in Arithmetic; circ. No. 37
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Learning to Use Numbers
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Arithmetic We Need
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![Saskatchewan Elementary Arithmetic for Public Schools [microform]](https://cdn.kingstone.com.tw/english/images/product/9815/9781015229815m.webp "Saskatchewan Elementary Arithmetic for Public Schools [microform]")
Saskatchewan Elementary Arithmetic for Public Schools [microform]
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![Arithmetic, Book 1 [microform]](https://cdn.kingstone.com.tw/english/images/product/2810/9781015352810m.webp "Arithmetic, Book 1 [microform]")
Arithmetic, Book 1 [microform]
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![The Modern Development of Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/7558/9781015337558.webp "The Modern Development of Arithmetic [microform]")
The Modern Development of Arithmetic [microform]
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Standard Arithmetic
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![Nova Scotia Common School Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/5326/9781015325326m.webp "Nova Scotia Common School Arithmetic [microform]")
Nova Scotia Common School Arithmetic [microform]
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![Elementary Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/9912/9781015319912m.webp "Elementary Arithmetic [microform]")
Elementary Arithmetic [microform]
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![Mental Arithmetic, Part II [microform]](https://cdn.kingstone.com.tw/english/images/product/6745/9781015166745m.webp "Mental Arithmetic, Part II [microform]")
Mental Arithmetic, Part II [microform]
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![Key to Advanced Arithmetic for Canadian Schools [microform]](https://cdn.kingstone.com.tw/english/images/product/2817/9781015382817m.webp "Key to Advanced Arithmetic for Canadian Schools [microform]")
Key to Advanced Arithmetic for Canadian Schools [microform]
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![Hints of Teaching Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/5050/9781015325050m.webp "Hints of Teaching Arithmetic [microform]")
Hints of Teaching Arithmetic [microform]
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![The Ontario Public School Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/5882/9781015195882m.webp "The Ontario Public School Arithmetic [microform]")
The Ontario Public School Arithmetic [microform]
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![Mental Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/7300/9781015147300m.webp "Mental Arithmetic [microform]")
Mental Arithmetic [microform]
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Modern Arithmetic Through Discovery
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Paul and the Crucified
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Public School Arithmetic.
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First Days in Number
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Quadratic Number Fields
This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.
Graph-Theoretic Concepts in Computer Science
This book constitutes the proceedings of the 47th International Workshop on Graph-Theoretic Concepts in Computer Science which was held during June 23-25, 2021. The conference was planned to take place in Warsaw, Poland, but changed to an online event due to the COVID-19 pandemic. The 30 full papers included in this volume were carefully reviewed and selected from 73 submissions. The conference aims to merge theory and practice by demonstrating how concepts from graph theory can be applied to various areas in computer science or by extracting new graph-theoretic problems from applications.Chapter "Bears with Hats and Independence Polynomials" is are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. Chapters 1, 6, and 22 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
The Genesis of the Langlands Program
Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.
Inverse Magnetometry
Introductory Remarks.- Basics of Magnetic Field Theory and Magnetization.- Dipole Potential Based Magnetometry.- Inverse Magnetometry.- Multi-Scale Inverse Mollifier Magnetometry.- Test Demonstrations.- Concluding Remarks.
Numerische Mathematik Kompakt
Dieses Lehrbuch behandelt in kompakter und 羹bersichtlicher Form die grundlegenden Themen der numerischen Mathematik. Es vermittelt ein solides Basiswissen der wichtigen Algorithmen und dazugeh繹rigen Fehler- und Aufwandsbetrachtungen, das zur L繹sung von zahlreichen in der Praxis auftretenden mathematischen Problemstellungen ben繹tigt wird. Die vorgestellten Resultate werden mit elementaren Methoden hergeleitet. F羹r die meisten der vorgestellten Verfahren werden Pseudo-Codes angegeben, die sich unmittelbar in Computerprogramme umsetzen lassen. Mit rund 200 ?bungsaufgaben und weiterf羹hrenden Literaturhinweisen ist das Buch f羹r das Selbststudium geeignet. Zahlreiche Abbildungen und 羹bersichtliche Schemata erleichtern dabei das Lernen. Das Lehrbuch ist ohne weitere Themenauswahl als Vorlage f羹r zwei jeweils vierst羹ndige einf羹hrende Vorlesungen 羹ber Numerik verwendbar.In der vorliegenden f羹nften Auflage sind Aktualisierungen, Korrekturen und stilistische ?nderungen vorgenommen worden. Au?erdem sind zahlreiche weitere ?bungsaufgaben und Beispiele aufgenommen worden, und landausche Symbole werden nun umfassender eingef羹hrt.InhaltPolynom- und Splineinterpolation, diskrete Fouriertransformation, Integration - Direkte und iterative L繹sung linearer Gleichungssysteme - Iterative Verfahren f羹r nichtlineare Gleichungssysteme - Numerische Behandlung von Anfangs- und Randwertaufgaben bei gew繹hnlichen Differenzialgleichungen - St繹rungstheorie und numerische Verfahren f羹r Eigenwertprobleme bei Matrizen - Approximationstheorie und RechnerarithmetikZielgruppen- Studierende der Mathematik und benachbarter F瓣cher an Universit瓣ten und Fachhochschulen- Hochschulabsolvent*innen in Industrie und Wirtschaft und an Forschungsinstituten aus den Fachrichtungen Mathematik, Informatik sowie Natur- und Ingenieurwissenschaften
A Pythagorean Introduction to Number Theory
Right triangles are at the heart of this textbook's vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed. Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many ofwhich are designed for SageMath. By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader's appreciation of the final chapters.
Elementary Number Theory
Elementary Number Theory, Gove Effinger, Gary L. Mullen This text is intended to be used as an undergraduate introduction to the theory of numbers. The authors have been immersed in this area of mathematics for many years and hope that this text will inspire students (and instructors) to study, understand, and come to love this truly beautiful subject. 　 Each chapter, after an introduction, develops a new topic clearly broken out in sections which include theoretical material together with numerous examples, each worked out in considerable detail. At the end of each chapter, after a summary of the topic, there are a number of solved problems, also worked out in detail, followed by a set of supplementary problems. These latter problems give students a chance to test their own understanding of the material; solutions to some but not all of them complete the chapter. 　 The first eight chapters discuss some standard material in elementary number theory. The remaining chapters discuss topics which might be considered a bit more advanced. The text closes with a chapter on Open Problems in Number Theory. Students (and of course instructors) are strongly encouraged to study this chapter carefully and fully realize that not all mathematical issues and problems have been resolved! There is still much to be learned and many questions to be answered in mathematics in general and in number theory in particular.
Zahlentheorie
Als die Aufgabe der elementaren Zahlentheorie kann die Aufsuchung der Beziehungen bezeichnet werden, welche zwischen allen rationalen ganzen oder gebrochenen Zahlen m einerseits und einer beliebig angenommenen festen Grundzahl g andererseits bestehen. Man kann dieser Aufgabe in ihrem weitesten Umfange dadurch gen羹gen, dass man alle diese Zahlen m in unendliche Reihen entwickelt. Nur durch die Betrachtung dieser vollst瓣ndigen Reihen erh瓣lt man eine vollkommene L繹sung unserer Aufgabe; beschr瓣nkt man sich dagegen auf gewisse Anfangsglieder derselben, wie dies gew繹hnlich in der Zahlentheorie geschieht, so erh瓣lt man angen瓣herte Resultate, welche f羹r bestimmte Zwecke nat羹rlich von gro?em Werte sein werden. Niemals aber k繹nnen durch solche Ann瓣herungen die Beziehungen der zu untersuchenden Zahlen m zu der Grundzahl g vollst瓣ndig und genau ergr羹ndet werden. Aus diesem Grund hat der Autor in dem vorliegenden Werk die Untersuchung g-adischer Zahlen mit Vorbedacht in den Vordergrund der Betrachtung gestellt.
Irrationality and Transcendence in Number Theory
Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material.Features Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background
The Eigenbook
​This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory.For graduate students and newcomers to this field, the book provides a solid introduction to this highly active area of research. For experts, it will offer the convenience of collecting into one place foundational definitions and theorems with complete and self-contained proofs.Written in an engaging and educational style, the book also includes exercises and provides their solution.
Mersenne Numbers and Fermat Numbers
This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography.In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form Mn = 2n - 1 for positive integer n.In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is a non-negative integer.Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience.
Quantification of Uncertainty: Improving Efficiency and Technology
1. Adeli, E. et al., Effect of Load Path on Parameter Identification for Plasticity Models using Bayesian Methods.- 2. Brugiapaglia S., A compressive spectral collocation method for the diffusion equation under the restricted isometry property.- 3. D'Elia, M. et al., Surrogate-based Ensemble Grouping Strategies for Embedded Sampling-based Uncertainty Quantification.- 4. Afkham, B.M. et al., Conservative Model Order Reduction for Fluid Flow.- 5. Clark C.L. and Winter C.L., A Semi-Markov Model of Mass Transport through Highly Heterogeneous Conductivity Fields.- 6. Matthies, H.G., Analysis of Probabilistic and Parametric Reduced Order Models.- 7. Carraturo, M. et al., Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains.- 8. Boccadifuoco, A. et al., Uncertainty quantification applied to hemodynamic simulations of thoracic aorta aneurysms: sensitivity to inlet conditions.- 9. Anderlini, A.et al., Cavitation model parameter calibration for simulations of three-phase injector flows.- 10. Hijazi, S. et al., Non-Intrusive Polynomial Chaos Method Applied to Full-Order and Reduced Problems in Computational Fluid Dynamics: a Comparison and Perspectives.- 11. Bult矇, M. et al., A practical example for the non-linear Bayesian filtering of model parameters.
First Grade Math with Confidence Bundle
Math educator Kate Snow gives parents the tools they need to teach math with confidence. This scripted, open-and-go program leads parents and instructors step-by-step through teaching all the concepts first-graders need to master: counting, comparing, and writing numbers to 100 addition and subtraction facts to 20 addition and subtraction word problems beginning place-value and mental math shapes, money, time, and measurement. Short, lively lessons will hold a child's attention by incorporating movement, games, and real-life situations. Straightforward, colorful worksheets give students practice with new concepts and review previously-learned material. Snow makes math fun by including optional enrichment lessons, with suggestions for wonderful math picture books to enjoy together and application activities to make math come alive.Beyond just telling parents what to do, First Grade Math with Confidence also helps them understand why the lessons are designed the way they are, giving them the knowledge and confidence to help their children learn.Using First Grade Math with Confidence will allow parents to build a strong math foundation for their children.
Rationell aritmetik och algebrans grunder
Denna bok inneh疇ller portf繹ljer III(a)-(b) av den st繹rre studien och artikelsamlingen "Den f繹rsta matematiken". Del III(c) finns i tryck som en separat volym, "Den reella talsymbolens principer och hantverk". Portf繹lj III inneb瓣r en grundlig studie av element瓣r aritmetik och algebra ur ett mer teoretiskt-filosofiskt f疇gelperspektiv. B疇de intuitiva-疇sk疇dliga och logisk-algebraiska perspektiv p疇 begreppsbildningen lyfts fram. I artiklarna anv瓣nds en speciell layout och framst瓣llningsform f繹r matematik瓣mnet, som f繹rfattaren valt att kalla f繹r den holistiska. Boken riktar sig till studenter och l瓣rare i matematik, naturvetenskap, filosofi, med mera, men 瓣ven till en allm瓣n matematiskt eller filosofiskt intresserad publik.
