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. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.
A Common School Arithmetic
This book 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.
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.
Math Mammoth Grade 4-B Worktext
Math Mammoth Grade 4-B Worktext is the student book for the latter half of grade 4, and part of the Math Mammoth Grade 4 complete curriculum. This book covers long division, factors, geometry, an introduction to fractions, and an introduction to decimals. The worktext contains both the necessary instruction and the problems & exercises (the 'text' & and the 'work'; thus a "worktext"), and is fairly self-teaching. The curriculum meets and exceeds the Common Core standards. Please note this is a student worktext and does not contain the answers. The answer key book is available separately.Features Math Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the math, not just learn "HOW" to do it. Concepts are often explained with visual models, followed by exercises using those models. These visual models can take the place of manipulatives for many children; however, it is very easy to add corresponding manipulatives to the lessons if so desired. The curriculum is mastery-oriented. This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much. There is a strong emphasis on mental math and number sense. It requires very little teacher preparation. The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext, and there also exist accompanying videos where you can see Maria herself teach the material. After each chapter introduction, you will find a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations, and further practice.
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.
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.
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.
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.
Classical and Dynamical Markov and Lagrange Spectra
The book intends to give a modern presentation of the classical Markov and Lagrange spectrum, which are fundamental objects from the theory of Diophantine approximations and of their several generalizations related to Dynamical Systems and Differential Geometry. Besides presenting many classical results, the book includes several topics of recent research on the subject, connecting several fields of Mathematics -- Number Theory, Dynamical Systems and Fractal Geometry.It includes topics as:
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.
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 given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.
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.
Introduction to Numerical Methods for Variational Problems
Preface.- Quick overview of the finite element method.- Function approximation by global functions.- Function approximation by finite elements.- Variational formulations with global elements.- Variational formulations with finite elements.- Time-dependent variational forms.- Variational forms for systems of PDEs.- Nonlinear Problems.- Variational forms for linear systems.- Useful formulas.
Algorithms and Architectures for Parallel Processing
This three-volume set LNCS 12452, 12453, and 12454 constitutes the proceedings of the 20th International Conference on Algorithms and Architectures for Parallel Processing, ICA3PP 2020, in New York City, NY, USA, in October 2020.The total of 142 full papers and 5 short papers included in this proceedings volumes was carefully reviewed and selected from 495 submissions. ICA3PP is covering the many dimensions of parallel algorithms and architectures, encompassing fundamental theoretical approaches, practical experimental projects, and commercial components and systems. As applications of computing systems have permeated in every aspects of daily life, the power of computing system has become increasingly critical. This conference provides a forum for academics and practitioners from countries around the world to exchange ideas for improving the efficiency, performance, reliability, security and interoperability of computing systems and applications. ICA3PP 2020 focus on two broadareas of parallel and distributed computing, i.e. architectures, algorithms and networks, and systems and applications.
A Journey Through the Realm of Numbers
This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from solving different equations, leading to (abstract) algebra. Along this journey, the reader will be exposed to important ideas of mathematics, and will learn a little about how mathematics is really done.Starting at an elementary level, the book gradually eases the reader into the complexities of higher mathematics; in particular, the formal structure of mathematical writing (definitions, theorems and proofs) is introduced in simple terms. The book covers a range of topics, from the very foundations (numbers, set theory) to basic abstract algebra (groups, rings, fields), driven throughout by the need to understand concrete equations and problems, such as determining which numbers are sums of squares. Some topics usually reserved for a more advanced audience, such as Eisenstein integers or quadratic reciprocity, are lucidly presented in an accessible way. The book also introduces the reader to open source software for computations, to enhance understanding of the material and nurture basic programming skills. For the more adventurous, a number of Outlooks included in the text offer a glimpse of possible mathematical excursions.This book supports readers in transition from high school to university mathematics, and will also benefit university students keen to explore the beginnings of algebraic number theory. It can be read either on its own or as a supporting text for first courses in algebra or number theory, and can also be used for a topics course on Diophantine equations.
An Invitation to the Rogers-Ramanujan Identities
The Rogers--Ramanujan identities are a pair of infinite series--infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic proof theory). Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers--Ramanujan identities and will include related historical material that is unavailable elsewhere.
Number Theory
Number theory is one of the oldest branches of mathematics that is primarily concerned with positive integers. While it has long been studied for its beauty and elegance as a branch of pure mathematics, it has seen a resurgence in recent years with the advent of the digital world for its modern applications in both computer science and cryptography. Number Theory: Step by Step is an undergraduate-level introduction to number theory that assumes no prior knowledge, but works to gradually increase the reader's confidence and ability to tackle more difficult material. The strength of the text is in its large number of examples and the step-by-step explanation of each topic as it is introduced to help aid understanding the abstract mathematics of number theory. It is compiled in such a way that allows self-study, with explicit solutions to all the set of problems freely available online via the companion website. Punctuating the text are short and engaging historical profiles that add context for the topics covered and provide a dynamic background for the subject matter.
Spectral and High Order Methods for Partial Differential Equations Icosahom 2018
This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.
P-Adic Analytic Functions
P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field.Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of an open disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions--in the whole field or inside an open disk--is a Bezout ring is also examined.
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.
Research Directions in Number Theory
These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.
Learning and Intelligent Optimization
This book constitutes the refereed post-conference proceedings on Learning and Intelligent Optimization, LION 14, held in Athens, Greece, in May 2020. The 37 full papers presented together with one invited paper have been carefully reviewed and selected from 75 submissions. LION deals with designing and engineering ways of "learning" about the performance of different techniques, and ways of using past experience about the algorithm behavior to improve performance in the future. Intelligent learning schemes for mining the knowledge obtained online or offline can improve the algorithm design process and simplify the applications of high-performance optimization methods. Combinations of different algorithms can further improve the robustness and performance of the individual components. Due to the COVID-19 pandemic, LION 14 was not held as a physical meeting.
Elliptic Curves (Second Edition)
This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis, and topology usually taught in first-year graduate courses.An elliptic curve is a plane curve defined by a cubic polynomial. Although the problem of finding the rational points on an elliptic curve has fascinated mathematicians since ancient times, it was not until 1922 that Mordell proved that the points form a finitely generated group. There is still no proven algorithm for finding the rank of the group, but in one of the earliest important applications of computers to mathematics, Birch and Swinnerton-Dyer discovered a relation between the rank and the numbers of points on the curve computed modulo a prime. Chapter IV of the book proves Mordell's theorem and explains the conjecture of Birch and Swinnerton-Dyer.Every elliptic curve over the rational numbers has an L-series attached to it.Hasse conjectured that this L-series satisfies a functional equation, and in 1955 Taniyama suggested that Hasse's conjecture could be proved by showing that the L-series arises from a modular form. This was shown to be correct by Wiles (and others) in the 1990s, and, as a consequence, one obtains a proof of Fermat's Last Theorem. Chapter V of the book is devoted to explaining this work.The first three chapters develop the basic theory of elliptic curves.For this edition, the text has been completely revised and updated.
Numerical Methods of Mathematics Implemented in FORTRAN
This book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines. It also provides numerical methods for solving these problems using suitable algorithms and for writing computer codes to find solutions. For discrete models, matrix algebra comes into play, while for continuum framework models, real and complex analysis is more suitable. The book clearly describes the method-algorithm-code approach for learning the techniques of scientific computation and how to arrive at accurate solutions by applying the procedures presented. It not only provides instructors with course material but also serves as a useful reference resource. Providing the detailed mathematical proofs behind the computational methods, this book appeals to undergraduate and graduate mathematics and engineering students.The computer codes have been written in the Fortran programming language, which is the traditional language for scientific computation. Fortran has a vast repository of source codes used in real-world applications and has continuously been upgraded in line with the computing capacity of the hardware. The language is fully backwards compatible with its earlier versions, facilitating integration with older source codes.
Advanced Finite Element Methods with ApplicationsSelected Papers from the 30th Chemnitz Finite Element Symposium 2017
Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.
Meshfree Methods for Partial Differential Equations IX
This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain.This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.
Counting Workbook: Ages 3-5
Level: EYFS early years foundation stageSubject: MathsLearn the easy way with this counting activity book!Fully in line with the Early Years Foundation Stage, this English book provides reassurance whilst supporting your child's learning at home.Combining useful English practice with engaging, colourful illustrations, this Counting workbook helps to boost your child's confidence and develop good learning habits for life. Each fun activity is designed to give your child a real sense of achievement.Included in this book: questions that allow children to practise the important skills learned at schoolcolourful activities that make learning fun and motivate children to learn at homehelpful tips and answers so that you can support your child's learning
Modulformen
Claudia Alfes-Neumann behandelt in diesem essential Anwendungen der Theorie der Modulformen und ihre Bedeutung als grundlegende Werkzeuge in der Mathematik. Diese - zun瓣chst rein analytisch definierten - Funktionen treten in sehr vielen Bereichen der Mathematik auf: sehr prominent in der Zahlentheorie, aber auch in der Geometrie, Kombinatorik, Darstellungstheorie und der Physik. Nach der Erl瓣uterung notwendiger Grundlagen aus der komplexen Analysis definiert die Autorin Modulformen und zeigt einige Anwendungen in der Zahlentheorie. Des Weiteren greift sie zwei wichtige Aspekte der Theorie rund um Modulformen auf: Hecke-Operatoren und L-Funktionen von Modulformen. Den Abschluss des essentials bildet ein Ausblick auf reell-analytische Verallgemeinerungen von Modulformen, die in der aktuellen Forschung eine bedeutende Rolle spielen.
Count With Me
Children love this colorful, silly counting book.Count along with them as they learn their numbers, and then do it allover again! This is sure to become a favorite for children 0 - 4.Dr. Kimberly Brayman wrote and created the illustrations for this whimsical book. She loves bright colors. They bring a little more joy into the world.She believes a well-written story, even one about counting, can help a child build empathy and empower them to build boundaries, solve problems and become self-reliant.
Interpolation Von Daten Und Funktionen
Dieses essential vermittelt in leicht zug瓣nglicher Sprache verschiedene Techniken zur Interpolation von Daten und Funktionen. Der Fokus liegt dabei zun瓣chst auf der Interpolation mit Polynomen, also ganzrationalen Funktionen, da diese in der Lage sind, jede beliebige Konstellation von Daten eindeutig zu interpolieren. Des Weiteren soll die M繹glichkeit aufgezeigt werden, nicht nur die Werte einer Funktion, sondern auch die ihrer Ableitung - also die Steigungen in den einzelnen Punkten - durch Interpolation mit Polynomen darzustellen. Weisen die vorgelegten Daten ein periodisches oder exponentielles Verhalten auf, ist die Verwendung von Polynomen weniger geeignet. In diesen F瓣llen sollte man besser trigonometrische Summen oder Exponentialsummen verwenden. Zahlreiche Beispiele machen das essential leicht verst瓣ndlich.
Fundamentals of Plasticity in Geomechanics
The book presents a concise, yet reasonably comprehensive, overview of fundamental notions of plasticity in relation to geomechanics. The primary objective of this work is to provide the reader with a general background in soil/rock plasticity and, as such, should be perceived as an introduction to the broad area of inelastic response of geomaterials.The book is divided into eight chapters. Chapters 1 & 2 start with an outline of the basic concepts and fundamental postulates, followed by a review of the elastic-perfectly plastic formulations in geomechanics. The isotropic strain-hardening framework and isotropic-kinematic hardening rules, the latter formulated within the context of bounding surface plasticity, are discussed in Chapters 3 & 4. Chapter 5 outlines the basic techniques for numerical integration, whereas Chapter 6 gives an overview of procedures for limit analysis that include applications of lower and upper bound theorems. Both these chapters are introductory in nature and are intended to provide a basic background in the respective areas. Chapter 7 deals with description of inherent anisotropy in geomaterials. Finally, Chapter 8 provides an overview of the experimental response of geomaterials.The text is intended primarily for Ph.D./M.Sc. students as well as researchers working in the areas of soil/rock mechanics. It may also be of interest to practicing engineers familiar with established notions of contemporary continuum mechanics.
BIG MATH for Little Kids
This book (Introduction to Fractions by Sharing Things) is appropriate for young children and children in preschool. The adult/parent and child should do the activities and worksheets together. The following math skills are introduced: Dividing one item (e.g. pizza) by 2, 3, 4 and 8.Dividing two items by 2, 3, 4 and 8.Dividing many items (e.g. candy) by 2, 3, 4, and 8.The meaning of a few math symbols ( +, =, 繩 )Writing and adding fractions. ***** ***** ***** ***** ***** ***** ***** ***** *****"The BIG MATH for Little Kids" series includes six books. There is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young. The six books are: Introduction to NumbersIntroduction to Fractions by Sharing Things ( THIS BOOK )Introduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph Paper NOTE: The pictures in these books are simple by design. When pictures are included, they reinforce the math and do not distract from it. The illustrations are relevant and directly relate to the math concepts..
BIG MATH for Little Kids
This book (Adding Big Numbers ...) is appropriate for young children and teens who can already add numbers with carry-overs. A pretest is provided. The following math skills are introduced: Add many, large numbers using a visual technique called "House of Addition."Solve for X by guessing what is in a box.Read and write words, using a shifted alphabet code.Use standard codes (Morse and ASCII) to read and write coded words and messages. ***** ***** ***** ***** ***** ***** ***** ***** *****"The BIG MATH for Little Kids" series includes six books. There is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young. The six books are: Introduction to Numbers Introduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking Breakfast Learn About Fractions by Baking Cookies Adding Big Numbers, Guessing Numbers & Secret Codes (THIS BOOK )Learn to Graph by Riding Bikes on Graph Paper NOTE: The pictures in these books are simple by design. When pictures are included, they reinforce the math and do not distract from it. The illustrations are relevant and directly relate to the math concepts. .
Fun Preschool Math Workbook For ToddlersThe Perfect Beginner Math Learning Book with Numbe
Are you looking for the perfect preschool math workbook for your child to learn the numbers while having fun at it? Do you wish to keep your child engaged while learning basic additions and subtractions without losing attention? If so, then read on... The Fun Preschool Math Workbook For Toddlers is the perfect workbook to getting your child started in learning the numbers and basic math skills such as number recognition, number tracing, number counting, and simple arithmetic computations. As a mother first, then as an experienced educator, I know how difficult it is to get your child to focus while being taught the numbers. It is for this reason I made this book, very easy to use with lots of different activities that are not only educational but also fun and engaging enough to keep the attention of your child going. This book comes in a perfectly sized 8.5" x 11" and provides just the perfect headstart to help any child ages 2 to 5 year olds, preschoolers, pre-k, and kindergarten in developing their reading, handwriting, and math abilities, with several spaces for your kids to learn and practice the exercises provided.To get the most out of this book, I divided the book into parts that are in logical arrangement to make it easy to follow through with your child. Below are what your child would learn for each part: In Part I, your child will: 1. Learn how to recognize numbers and number words, how they are formed, and with lots of traces to help your child form each of them. Fun illustrations are also provided to help your child recognize and memorize each number. Likewise, number coloring activities are included to create a more engaging learning experience and with several blank practice exercises to enable your child to write each number and number word on their own. In Part II, your child will: 2. Learn how to count and match numbers using several engaging pictures, e.g., animals, shapes, and coloring activities, thus providing an extra fun learning experience for your child. In Part III, your child will: 3. Learn how to perform lots of basic maths such as additions and subtractions using several fun-filled educational activities and illustrations. And much more... Lastly, a certificate of completion is provided at the end of the workbook, which can be presented to your child upon successfully completing the pages of this book. Whether you are a parent seeking to help your child learn the ropes of numbers, or you are an early childhood educator, a teacher, or a caregiver, this book is the perfect workbook to get you going in providing a quality teaching experience for you and the child in your care. To get started, simply get a copy of this book right away.
Sudoku Puzzle Book ExtremeSudoku Puzzle Book with 1000 Puzzles - Extreme - For Adults and
BIG SUDOKU PUZZLE BOOK WITH 1000 PUZZLES!★ Extreme★ 1000 Puzzles★ Gift idea for adults and kids★ Size 8.5 x 11★ 170 Pages
Numbers
The various number systems are usually taken for granted by most people, and rightly so. But at least once in the career of every person seriously interested in mathematics, they should be looked at with a critical eye. Why were they created, and why are their properties what they are? Numbers is intended to be a readable but rigorous book that addresses these points. Edmund Landau's 1930 book Grundlagen der Analysis (Foundations of Analysis) is still in print, showing the continuing desire for such a book, but it is extraordinarily terse, and is famous for it. It is a long string of definitions and theorems with no informal material at all. We have tried to find a good mix of informality and formal development. We spend much time on motivation, giving informal reasons why a formal development can proceed as it does. Then and only then do we present the formal material. Thus the reader learns not only the mechanism of the number systems, but also how formal mathematics gets created and thought about at a pre-formal level.The role of set theory and its relationship to the number systems is important, but in a book concentrating on numbers it is rather diversionary. Some set theory is necessary, of course, but the principles needed are simple and straightforward. We assume they are part of the reader's logical machinery and go on from there. A few foundational issues are mentioned, but this is not a book on set theory.Common pencil-and-paper algorithms for arithmetical computation are discussed along the way. They are, after all, among the great human creations and should be seen as such.The system of real numbers is often presented using Dedekind cuts or Cauchy sequences. We have chosen an approach whose intuition is more familiar to most: infinite decimals. We develop them in a simple, yet rigorous, way that builds naturally on what people have already had exposure to.Exercises are included. Some are computational and some are of the supply-a-proof type. If successfully done, the reader will not only have come to know something, but will have come to know that he or she has come to know it.
Hot Maths for Cool Kids
This book has key tricks into how maths can be applied to get the answers quicker i.e. within 10 seconds.
4th Grade Math Workbook
APEX Test Prep's 4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4] This workbook was developed to help 4th grade students master all of the important skills that they have learned up to this point. It starts with the most basic concepts and works up to some rather advanced concepts. It is broken down into the four main content areas listed below: Arithmetic Measurement and Data Algebra Geometry Math can be frustrating, but it doesn't have to be! Our goal at APEX Test Prep is to help your 4th grader succeed, and with our detailed answer explanations, they won't have to make the same mistake twice.
