Numerical Semigroups
This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM "International Meeting on Numerical Semigroups", held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields.
Waves in Flows
This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: ChemorepulsionCompressible Navier-Stokes systemsNewtonian fluidsFluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.
Smooth B矇zier Surfaces Over Unstructured Quadrilateral Meshes
With a foreword by T.J.R. Hughes Represents a step forward in Isogeometric Analysis and its applicationsProvides a bridge between Finite Element Methods and Isogeometric Analysis
Sequential Models of Mathematical Physics
In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models.
Pillars of Transcendental Number Theory
This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite-Lindemann-Weierstrass theorem, Gelfond-Schneider theorem, Schmidt's subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker's original results. This book presents Baker's original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of "Exercises" and interesting information presented as "Notes," intended to spark readers' curiosity.
New Sinc Methods of Numerical Analysis
This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.
Algorithmic Techniques for the Polymer Sciences
This new book-the first of its kind-examines the use of algorithmic techniques to compress random and non-random sequential strings found in chains of polymers. The book is an introduction to algorithmic complexity. Examples taken from current research in the polymer sciences are used for compression of like-natured properties as found on a chain of polymers. Both theory and applied aspects of algorithmic compression are reviewed. A description of the types of polymers and their uses is followed by a chapter on various types of compression systems that can be used to compress polymer chains into manageable units. The work is intended for graduate and postgraduate university students in the physical sciences and engineering.
Zero to Lazy Eight
From Simon & Schuster, Zero to Lazy Eight is Alexander Humez's exploration into the romance of numbers fit with free-forming essays related to folklore, idioms, and mathematical diversions. A collection of essays blending elements of linguistics and mathematics provides an educational glimpse into the social history and culture of common phrases and colloquial expressions.
An Introduction to Probabilistic Number Theory
Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful area of mathematics.
A Key To The Western Calculator; Containing The Solution Of All The Examples And Questions For Exercise With Reference To The Pages Where They Stand To Which Is Added Some Useful Rules
A Key To The Western Calculator; Containing The Solution Of All The Examples And Questions For Exercise With Reference To The Pages Where They Stand To Which Is Added Some Useful Rules has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.
B-Series
B-series, also known as Butcher series, are an algebraic tool for analysing solutions to ordinary differential equations, including approximate solutions. Through the formulation and manipulation of these series, properties of numerical methods can be assessed. Runge-Kutta methods, in particular, depend on B-series for a clean and elegant approach to the derivation of high order and efficient methods. However, the utility of B-series goes much further and opens a path to the design and construction of highly accurate and efficient multivalue methods. This book offers a self-contained introduction to B-series by a pioneer of the subject. After a preliminary chapter providing background on differential equations and numerical methods, a broad exposition of graphs and trees is presented. This is essential preparation for the third chapter, in which the main ideas of B-series are introduced and developed. In chapter four, algebraic aspects are further analysed in the context of integration methods, a generalization of Runge-Kutta methods to infinite index sets. Chapter five, on explicit and implicit Runge-Kutta methods, contrasts the B-series and classical approaches. Chapter six, on multivalue methods, gives a traditional review of linear multistep methods and expands this to general linear methods, for which the B-series approach is both natural and essential. The final chapter introduces some aspects of geometric integration, from a B-series point of view. Placing B-series at the centre of its most important applications makes this book an invaluable resource for scientists, engineers and mathematicians who depend on computational modelling, not to mention computational scientists who carry out research on numerical methods in differential equations. In addition to exercises with solutions and study notes, a number of open-ended projects are suggested. This combination makes the book ideal as a textbook for specialised courses on numerical methods for differential equations, as well as suitable for self-study.
Soft Computing Techniques for Engineering Optimization
This book covers the issues related to optimization of engineering and management problems using soft computing techniques with an industrial outlook. It covers a broad area related to real life complex decision making problems using a heuristics approach. It also explores future directions in industrial engineering research globally.
Dynamical Systems
This book presents the latest investigations in the theory of chaotic systems and their dynamics. It covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. The book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.
Spectral Methods in Geodesy and Geophysics
This book is a fundamental text covering the general spatial signals on the spatial signals on the plane and sphere. It includes information on spectral methods in geophysics and geodesy, but serves as more of a wider, introductory text with a unique perspective for students in the geosciences fields.
![FSA Practice Grade 3 Math Test Prep for the Florida Standards Assessment [3rd Edition Book]](https://cdn.kingstone.com.tw/english/images/product/6546/9781637756546m.webp "FSA Practice Grade 3 Math Test Prep for the Florida Standards Assessment [3rd Edition Book]")
FSA Practice Grade 3 Math Test Prep for the Florida Standards Assessment [3rd Edition Book]
Test Prep Books' FSA Practice Grade 3 Math Test Prep for the Florida Standards Assessment [3rd Edition Book]Made by Test Prep Books experts for test takers trying to achieve a great score on the FSA Math Grade 3 exam.This comprehensive study guide includes: Quick Overview Find out what's inside this guide!Test-Taking Strategies Learn the best tips to help overcome your exam!Introduction Get a thorough breakdown of what the test is and what's on it!Operations and Algebraic Thinking Representing and Solving Problems Involving Multiplication and Division; Properties of Multiplication and the Relationship between Multiplication and Division; Multiplying and Dividing Within 100; and Solving Problems Involving the Four Operations, and Identifying and Explaining Patterns in ArithmeticNumber and Operations in Base Ten Using Place Value Understanding and Properties of Operations to Perform Multi-Digit ArithmeticNumber and Operations - Fractions Fractions as NumbersMeasurement and Data Solving Problems Involving Measurement and Estimation of Intervals of Time, Liquid Volumes, and Masses of Objects; Representing and Interpreting Data; Geometric Measurement: Understanding Concepts of Area and Relating Area to Multiplication and Addition; Geometric Measurement: Perimeter is an Attribute of Plane Figures; and Reasoning with Shapes and Their AttributesPractice Questions Practice makes perfect!Detailed Answer Explanations Figure out where you went wrong and how to improve!Studying can be hard. We get it. That's why we created this guide with these great features and benefits: Comprehensive Review: Each section of the test has a comprehensive review created by Test Prep Books that goes into detail to cover all of the content likely to appear on the test.FSA Math Grade 3 Practice Test Questions: We want to give you the best practice you can find. That's why the Test Prep Books practice questions are as close as you can get to the actual test.Answer Explanations: Every single problem is followed by an answer explanation. We know it's frustrating to miss a question and not understand why. The answer explanations will help you learn from your mistakes. That way, you can avoid missing it again in the future.Test-Taking Strategies: A test taker has to understand the material that is being covered and be familiar with the latest test taking strategies. These strategies are necessary to properly use the time provided. They also help test takers complete the test without making any errors. Test Prep Books has provided the top test-taking tips.Customer Service: We love taking care of our test takers. We make sure that you interact with a real human being when you email your comments or concerns.Anyone planning to take this exam should take advantage of this Test Prep Books study guide. Purchase it today to receive access to: FSA Math Grade 3 review materialsFSA Math Grade 3 practice test questionsTest-taking strategies
Computational Mathematics, Nanoelectronics, and Astrophysics
This book is a collection of original papers presented at the International Conference on Computational Mathematics in Nanoelectronics and Astrophysics (CMNA 2018) held at the Indian Institute of Technology Indore, India, from 1 to 3 November 2018. It aims at presenting recent developments of computational mathematics in nanoelectronics, astrophysics and related areas of space sciences and engineering. These proceedings discuss the most advanced innovations, trends and real-world challenges encountered and their solutions with the application of computational mathematics in nanoelectronics, astrophysics and space sciences. From focusing on nano-enhanced smart technological developments to the research contributions of premier institutes in India and abroad on ISRO's future space explorations-this book includes topics from highly interdisciplinary areas of research. The book is of interest to researchers, students and practising engineers working in diverse areas of science and engineering, ranging from applied and computational mathematics to nanoelectronics, nanofabrications and astrophysics.
Bounded Gaps Between Primes
Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkable developments of recent decades, whereby an upper bound on the known gap length between infinite numbers of consecutive primes has been reduced to a tractable finite size. The text is both introductory and complete: the detailed way in which results are proved is fully set out and plenty of background material is included. The reader journeys from selected historical theorems to the latest best result, exploring the contributions of a vast array of mathematicians, including Bombieri, Goldston, Motohashi, Pintz, Yildirim, Zhang, Maynard, Tao and Polymath8. The book is supported by a linked and freely-available package of computer programs. The material is suitable for graduate students and of interest to any mathematician curious about recent breakthroughs in the field.
Bounded Gaps Between Primes
Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkable developments of recent decades, whereby an upper bound on the known gap length between infinite numbers of consecutive primes has been reduced to a tractable finite size. The text is both introductory and complete: the detailed way in which results are proved is fully set out and plenty of background material is included. The reader journeys from selected historical theorems to the latest best result, exploring the contributions of a vast array of mathematicians, including Bombieri, Goldston, Motohashi, Pintz, Yildirim, Zhang, Maynard, Tao and Polymath8. The book is supported by a linked and freely-available package of computer programs. The material is suitable for graduate students and of interest to any mathematician curious about recent breakthroughs in the field.
Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics
This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity.
Structural Mechanics with a Pen
1 Idea and Derivation of the Method 2 Investigation of Rods in the Elastic Range 3 Investigation of Euler-Bernoulli Beams in the Elastic Range 4 Investigation of Timoshenko Beams in the Elastic Range 5 Consideration of Euler-Bernoulli Beams with Plastic Material Behavior 6 Answers to Supplementary Problems
Ho Math Chess Puzzles Sample Worksheets
If you have any comments or problems on this workbook, please email them to fho1928@gmail.com.Ho Math Chess(TM)= math + puzzles + chessFrank Ho, a Canadian math teacher, intrigued by math and chess relationships after teaching his son chess, started Ho Math Chess(TM) in 1995. His long-term devotion to research has led his son to become a FIDE chess master and Frank's publications of over 20 math workbooks. Today Ho Math Chess(TM) is the world's largest and the only franchised scholastic math, chess, and puzzles specialty learning centre worldwide. Ho Math Chess(TM) is a leading research organization in math, chess, and puzzles integrated teaching methodology. There are hundreds of articles already published showing chess benefits children and that math puzzles are an excellent way of improving brainpower. So, by integrating chess and mathematical chess puzzles, the learning effect is more significant. Parents send their children to Ho Math Chess(TM) because they like Ho Math Chess(TM) teaching philosophy - offering children problem-solving questions in various formats. The questions could be pure chess, chess puzzles, mathematical chess puzzles like logic, pattern, tree structure, Venn diagram, probability and many more math concepts. Ho Math Chess(TM) has developed a series of unique and high-quality math, chess, and puzzles integrated workbooks. Ho Math Chess(TM) produced the world's first workbook Learning Chess to Improve Math. This workbook is not only for learning chess but also for enriching math ability. This sets Ho Math Chess apart from other math learning centres, chess club, or chess classes. The teaching method at Ho Math Chess(TM) is to use math, chess, and puzzles integrated workbooks to teach children fun math. The purposes of Ho Math Chess(TM) teaching method and workbooks are to: -Improve math marks.-Develop problem-solving and critical thinking skills.-Improve logical thinking ability.-Boost brainpower. Testimonials, sample worksheets, reports, and franchise information can be found at www.homathchess.com.More information about Ho Math Chess(TM) can also be found from the following publications: 1. Why Buy a Ho Math Chess(TM) Learning Centre Franchise: A Unique Learning Centre?2.Ho Math Chess(TM) Sudoku Puzzles Sample Worksheets3.Introduction to Ho Math Chess(TM) and its Founder Frank HoThe above publications can be purchased from www.amazon.com.
Sofsem 2021: Theory and Practice of Computer Science
This book contains the invited and contributed papers selected for presentation at SOFSEM 2021, the 47th International Conference on Current Trends in Theory and Practice of Computer Science, which was held online during January 25-28, 2021, hosted by the Free University of Bozen-Bolzano, Italy.The 33 full and 7 short papers included in the volume were carefully reviewed and selected from 100 submissions. They were organized in topical sections on: foundations of computer science; foundations of software engineering; foundations of data science and engineering; and foundations of algorithmic computational biology. The book also contains 5 invited papers.
Quick Arithmetic
Master math at your own pace!Does working with numbers often frustrate you? Do you need to brush up on your basic math skills? Do you feel math stands between you and your career goals, or a better grade at school?Quick Arithmetic, Third Edition is the quickest and easiest way to teach yourself the basic math skills you need to advance on the job or in school. Using cartoons and a clear writing style, this practical guide provides a fresh start for learning or reviewing how to work with whole numbers, fractions, decimals, and percentages. The book's proven self-teaching approach allows you to work at your own pace and learn only the material you need. Previews and objectives at the beginning of each section help you determine your particular needs, while self-tests, practice problems, and a final exam let you measure your progress and reinforce what you've learned.For anyone who has ever felt intimidated by a page of numbers, Quick Arithmetic, Third Edition has the answers!
Srinivasa Ramanujan
This book offers a unique account on the life and works of Srinivasa Ramanujan-often hailed as the greatest "natural" mathematical genius. Sharing valuable insights into the many stages of Ramanujan's life, this book provides glimpses into his prolific research on highly composite numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new summation theorem. It also includes the list of Ramanujan's collected papers, letters and other material present at the Wren Library, Trinity College in Cambridge, UK. This book is a valuable resource for all readers interested in Ramanujan's life, work and indelible contributions to mathematics.
Multiplication Workbook Grade 3
Kickstart your child's learning and help them succeed with math!Are you searching for a new maths book to make learning fun? Do you want to make sure your child is up to date on their multiplication skills? Or are you looking for a way to supplement their learning with a practical workbook? Then keep reading!Designed to cover all the essential multiplication areas of a 3rd-grade education, this brilliant math workbook offers a wide selection of problems and equations that will test your child's skills and imbue them with a love of numbers.Containing a wealth of exercises including grids, real-life situations, puzzles and much more, now you can make sure your child succeeds in math. Perfect for homeschoolers, as an accompanying tool for homework, or for parents who just want to help their child strengthen their math skills, now you can discover how to make learning both practical and enjoyable!Here's just a little of what you'll discover inside: - A Wide Range of Math Problems and Equations Ideal For a 3rd Grade Level- Designed To Strengthen Kids' Multiplication Skills- Equations With a Ton of Grids, Shapes, Number Lines, Real-Life Problems and More- Engaging Puzzles To Instil Your Child With a Love of Math!- Questions In The Single Digits, Tens, and Even Hundreds- And So Much More!So don't wait! If you're looking for a way to make learning fun, or if you want to help your child get ahead in math, then this workbook is for you. Packed with tons of questions to challenge and inspire your child to master the world of multiplication, there's no better way to make sure their math skills are as strong as possible.
Fuzzy Recurrence Plots and Networks with Applications in Biomedicine
This book presents an original combination of three well-known methodological approaches for nonlinear data analysis: recurrence, networks, and fuzzy logic.After basic concepts of these three approaches are introduced, this book presents recently developed methods known as fuzzy recurrence plots and fuzzy recurrence networks. Computer programs written in MATLAB, which implement the basic algorithms, are included to facilitate the understanding of the developed ideas. Several applications of these techniques to biomedical problems, ranging from cancer and neurodegenerative disease to depression, are illustrated to show the potential of fuzzy recurrence methods. This book opens a new door to theorists in complex systems science as well as specialists in medicine, biology, engineering, physics, computer science, geosciences, and social economics to address issues in experimental nonlinear signal and data processing.
Research Schools on Number Theory in India
This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab, Mumbai, Bengal, and Bihar-including the establishment of Tata Institute of Fundamental Research (TIFR), Mumbai, a landmark event in the history of research of number theory in India. Research on number theory in India during modern times started with the advent of the iconic genius Srinivasa Ramanujan, inspiring mathematicians around the world. This book discusses the national and international impact of the research made by Indian number theorists. It also includes a carefully compiled, comprehensive bibliography of major 20th century Indian number theorists making this book important from the standpoint of historic documentation and a valuable resource for researchers of the field for their literature survey. This book also briefly discusses the importance of number theory in the modern world of mathematics, including applications of the results developed by indigenous number theorists in practical fields. Since the book is written from the viewpoint of the history of science, technical jargon and mathematical expressions have been avoided as much as possible.
Foundations of Analysis
1, 2, 3, 4, . . ., natural numbers. 0, zero. -1, -2, -3, -4, . . ., negative integers. Rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book. The book is intended to be a supplement to textbooks on the differential and integral calculus. Those who are studying the subject should read this book. However, prerequisites are kept minimum, challenging high school students are also welcome.This emended edition is newly typeset and corrected.The free PDF file available on the publisher's website www.bwpest2018.org
Foundations of Analysis
1, 2, 3, 4, . . ., natural numbers. 0, zero. -1, -2, -3, -4, . . ., negative integers. Rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book. The book is intended to be a supplement to textbooks on the differential and integral calculus. Those who are studying the subject should read this book. However, prerequisites are kept minimum, challenging high school students are also welcome.This emended edition is newly typeset and corrected.Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image.The free PDF file available on the publisher's website www.bwpest2018.org
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.
Techniques for Designing and Analyzing Algorithms
Techniques for Designing and Analyzing Algorithms Design and analysis of algorithms can be a difficult subject for students due to its sometimes-abstract nature and its use of a wide variety of mathematical tools. Here the author, an experienced and successful textbook writer, makes the subject as straightforward as possible in an up-to-date textbook incorporating various new developments appropriate for an introductory course.This text presents the main techniques of algorithm design, namely, divide-and-conquer algorithms, greedy algorithms, dynamic programming algorithms, and backtracking. Graph algorithms are studied in detail, and a careful treatment of the theory of NP-completeness is presented. In addition, the text includes useful introductory material on mathematical background including order notation, algorithm analysis and reductions, and basic data structures. This will serve as a useful review and reference for students who have covered this material in a previous course.Features The first three chapters provide a mathematical review, basic algorithm analysis, and data structures Detailed pseudocode descriptions of the algorithms along with illustrative algorithms are included Proofs of correctness of algorithms are included when appropriate The book presents a suitable amount of mathematical rigor After reading and understanding the material in this book, students will be able to apply the basic design principles to various real-world problems that they may encounter in their future professional careers.
Financial Data Resampling for Machine Learning Based Trading
This book presents a system that combines the expertise of four algorithms, namely Gradient Tree Boosting, Logistic Regression, Random Forest and Support Vector Classifier to trade with several cryptocurrencies. A new method for resampling financial data is presented as alternative to the classical time sampled data commonly used in financial market trading. The new resampling method uses a closing value threshold to resample the data creating a signal better suited for financial trading, thus achieving higher returns without increased risk. The performance of the algorithm with the new resampling method and the classical time sampled data are compared and the advantages of using the system developed in this work are highlighted.
Handbook of Conformal Mappings and Applications
The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem - for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk.
A Common School Arithmetic
This nineteenth century arithmetic speaks with the steady authority of the classroom. Learn like a Victorian scholar. Originally drawn for common schools, this vintage math textbook and classic mathematics manual sets out foundational math concepts with plain rules, worked examples and steadily building practice. Problems are domestic and civic in scope: counted accounts, measures and trade-style questions that train reasoning as much as technique. Clear exercises and progressive drills present arithmetic word problems that teach thoughtfulness rather than blind repetition, and mental calculation techniques appear alongside rule-based instruction to foster speed and accuracy. Designed for hands-on learning, it suits a parent guiding a child, a tutor structuring a syllabus or a newcomer reacquainting themselves with number work, serving as a reliable homeschool math resource and a pragmatic teacher classroom supplement. Republished by Alpha Editions in a careful modern edition, this volume preserves the spirit of the original while making it effortless to enjoy today - a heritage title prepared for readers and collectors alike. Beyond practical instruction, the book is a revealing record of victorian era education and the historical school curriculum that formed the numerate citizen of its day. Casual readers and classic-literature collectors alike will find it rewarding: newcomers will discover clear pathways through the basics, while collectors will value its place among tactile pedagogical documents. Thoughtfully prepared for contemporary hands, this edition also supports research and provenance; it is a distinguished addition to any antique arithmetic collection and is cited in reference frameworks such as the barnard hager mathSource protocol. It also offers curious readers a tactile lesson in pedagogy: the economy of language and the ordered progression of tasks reveal how teachers shaped competence. For classroom historians, the volume is a clear artefact of civic education; for practising tutors, it offers readily adoptable exercises and a steady pacing that still suits mixed-ability groups.
Computational Methods for Inverse Problems in Imaging
This book presents recent mathematical methods in the area of inverse problems in imaging with a particular focus on the computational aspects and applications. The formulation of inverse problems in imaging requires accurate mathematical modeling in order to preserve the significant features of the image. The book describes computational methods to efficiently address these problems based on new optimization algorithms for smooth and nonsmooth convex minimization, on the use of structured (numerical) linear algebra, and on multilevel techniques. It also discusses various current and challenging applications in fields such as astronomy, microscopy, and biomedical imaging. The book is intended for researchers and advanced graduate students interested in inverse problems and imaging.
Novel Finite Element Technologies for Solids and Structures
This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.
Extrapolation and Rational Approximation
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Pad矇 approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects.A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the "actors." This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Simplicial Partitions with Applications to the Finite Element Method
This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields.These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. It is aimed at a general mathematical audience who is assumed to be familiar with only a fewbasic results from linear algebra, geometry, and mathematical and numerical analysis.
Inverse ProblemsBasics, Theory and Applications in Geophysics
Characterization of Inverse Problems.- Discretization of Inverse Problems.- Regularization of Linear Inverse Problems.- Regularization of Nonlinear Inverse Problems.- Appendix A. Results from Linear Algebra.- Appendix B. Function Spaces.- Appendix C. The Fourier Transform.- Appendix D. Regularization Property of CGNE.- Appendix E. Existence and Uniqueness Theorems for Waveform Inversion.
Arakelov Geometry and Diophantine Applications
Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters, each written by a different author. The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic geometry.
Dedekinds Theorie Der Ganzen Algebraischen Zahlen
Dieses Buch stellt anhand des Nachlasses von Richard Dedekind eine Rekonstruktion des 羹berarbeiteten XI. Supplements zur geplanten 5. Auflage von P. G. Lejeune Dirichlets Vorlesungen 羹ber Zahlentheorie mit einem Kommentar von Peter Ullrich zur Verf羹gung. Die von Dedekind herausgegebenen und erweiterten "Vorlesungen 羹ber Zahlentheorie" seines Lehrers Dirichlet und vor allem die umfangreichen angef羹gten Supplemente gelten als eines der Hauptwerke Dedekinds. F羹r die Geschichte der modernen Algebra ist das XI. Supplement "?ber die Theorie der ganzen algebraischen Zahlen" von besonderem Interesse, da es die Begr羹ndung der Idealtheorie darstellt. Dedekind bereitete zu Beginn des 20. Jahrhunderts eine 5. Auflage der Vorlesungen von Dirichlet mit 羹berarbeiteten Supplementen vor, die aber nicht mehr ver繹ffentlicht wurde. Die Autorin dieses Bandes hat die Transkriptionsarbeiten und Editierung aus dem Dedekind Nachlass vorgenommen und ein einf羹hrendesKapitel hinzugef羹gt.
Arithmetic Tales
1 Basic Tools.- 2 Linear Diophantine Equations.- 3 Prime Numbers.- 4 Arithmetic Functions.- 5 Lattice Points.- 6 Exponential Sums.- 7 Algebraic Number Fields. Hints and Answers to Exercises.- Index.
Arithmetic and Geometry Over Local Fields
This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean analytic geometry. The notes grew out of lectures held during the research program "Arithmetic and geometry of local and global fields" which took place at the Vietnam Institute of Advanced Study in Mathematics (VIASM) from June to August 2018. The authors, leading experts in the field, have put great effort into making the text as self-contained as possible, introducing the basic tools of the subject. The numerous concrete examples and suggested research problems will enable graduate students and young researchers to quickly reach the frontiers of this fascinating branch of mathematics.
Turbo Mathematics
Turbo mathematics is a book that highlights the techniques to achieve speed and accuracy in mathematical calculations. It demonstrates one line, mental and superfast methods for basic mathematical operations like multiplication, division, fractions to decimals, square and cube roots and many more. Mastery over these techniques will do wonders for competitive exams by saving time and providing precise answers. So, go ahead and make Turbo mathematics your expressway to success!
Modulare Arithmetik
Dieses essential bietet eine Einf羹hrung in die modulare Arithmetik, die mit wenig Vorkenntnissen zug瓣nglich und mit vielen Beispielen illustriert ist. Ausgehend von den ganzen Zahlen und dem Begriff der Teilbarkeit werden neue Zahlbereiche bestehend aus Restklassen modulo einer Zahl n eingef羹hrt. F羹r das Rechnen in diesen neuen Zahlbereichen wichtige Hilfsmittel wie der Euklidische Algorithmus, der Chinesische Restsatz und die Eulersche φ-Funktion werden ausf羹hrlich behandelt. Als Anwendung der modularen Arithmetik werden zum Abschluss die Grundz羹ge des f羹r viele moderne Anwendungen grundlegenden RSA-Verschl羹sselungsverfahrens pr瓣sentiert.
Computational Methods for Numerical Analysis with R
Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is g
Grundbegriffe Der Elementaren Zahlentheorie
Die elementare Zahlentheorie befasst sich mit den Eigenschaften der nat羹rlichen Zahlen und ben繹tigt als Grundlage hierf羹r nur die Arithmetik. Sie ist ein unverzichtbarer Bestandteil des Bachelorstudiums Mathematik.Die Leser*innen erhalten mit diesem essential eine kompakte und auf das Wesentliche fokussierte Darstellung der elementaren Zahlentheorie, die insbesondere f羹r einen ersten ?berblick 羹ber dieses Teilgebiet, f羹r die Pr羹fungsvorbereitung oder zum Nachschlagen wichtiger Definitionen und S瓣tze herangezogen werden kann.
Modeling, Simulation and Optimization of Complex Processes Hpsc 2018Proceedings of the 7th
This proceedings volume highlights a selection of papers presented at the 7th International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam, during March 19-23, 2018. The conference was jointly organized by the Heidelberg Institute of Theoretical Studies (HITS), the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the Interdisciplinary Center for Scientific Computing (IWR) at Heidelberg University, and the Vietnam Institute for Advanced Study in Mathematics, Ministry of Education. The contributions cover a broad, interdisciplinary spectrum of scientific computing and showcase recent advances in theory, methods, and practical applications. Subjects covered include numerical simulation, methods for optimization and control, parallel computing, and software development, as well as the applications of scientific computing in physics, mechanics, biomechanics and robotics, material science, hydrology, biotechnology, medicine, transport, scheduling, and industry.
