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.
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.
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.
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.
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.
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.
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.
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.
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 (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. .
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..
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.
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.
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
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.
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.
Cracking the Mental Math Code
From those who read a poster asking them to join the school's Number Sense team to the seasoned competitor eyeing State medals, this book serves as a guide and as inspiration, to not only pique interest but to build a foundation on.You'll find in this book a step-by-step guide on how-to solve Number Sense problems and prepare you for any mental math competitions. There are over 80 mental math techniques are explained in this book, and over 750 problems to learn, train, and improve with. Just a note: as fun as it is to learn new tricks and techniques on PEMDAS, Squares, GCD & LCM, Remainder, Higher Order Exponents, Roots, Primes & Divisors, Roman & Complex Numbers, Factorials & Combinations, Sequences, Memorization, Fractions, Decimals, Bases, Linear & Quadratic Equations, Sets, Logarithms, Matrices and many more. It's just as important to master them and implement them in full-length tests!I wish you all the best of luck, and happy computing!
The Book Of Pi
Have you been looking to learn and memorise pi to 100,000 digits? Or just looking for a gift for your friend?Then this book of Pi is perfect for you!This book contains information of how Pi is derived, where it is used in calculations and a short history on how it got to 34.1 trillion decimal places found!Click 'Buy Now' to get this at a good value.
Mental Calculation, an Art, Apart
Discover the world of numbers with one of world's best and fastest mental calculators, Willem Bouman. Mental calculation is a skill, and this means that significant progress can be made by practice. In this book you'll read about theories and principles aimed at guiding your practice and enriching your insight into numbers. As your training progresses you'll gain confidence in your own skills and you will be able to make impressive calculations, purely mentally, regardless of your background.
Math Mammoth Grade 5 Review Workbook
Math Mammoth Grade 5 Review Workbook is intended to give students a thorough review of fifth grade math. It has both topical as well as mixed (spiral) review worksheets, and includes both topical tests and a comprehensive end-of-the-year test. The tests can also be used as review worksheets, instead of tests.You can use this workbook for various purposes: for summer math practice, to keep a child from forgetting math skills during other break times, to prepare students who are going into sixth grade, or to give fifth grade students extra practice during the school year.The topics reviewed in this workbook are: the four operations large numbers and the calculator problem solving decimals graphing and statistics fractions: add and subtract fractions: multiply and divide geometry The content for these is taken from Math Mammoth Grade 5 Complete Curriculum, so it works especially well to prepare students for grade 6 in Math Mammoth. However, the content follows a typical study for grade 5, so this workbook can be used no matter which math curriculum you follow. Please note this book does not contain lessons or instruction for the topics. It is not intended for initial teaching. It also will not work if the student needs to completely re-study these topics (the student has not learned the topics at all). For that purpose, please consider Math Mammoth Grade 5 Complete Curriculum, which has all the necessary instruction and lesson
Arithmetic
"Inspiring and informative...deserves to be widely read."--Wall Street Journal "This fun book offers a philosophical take on number systems and revels in the beauty of math."--Science News Because we have ten fingers, grouping by ten seems natural, but twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart presents arithmetic not as rote manipulation of numbers--a practical if mundane branch of knowledge best suited for filling out tax forms--but as a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher. "A nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education...Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting."--Jonathon Keats, New Scientist "What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind's most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story...A wonderful book."--Keith Devlin, author of Finding Fibonacci
Math Mammoth Grade 1 Tests and Cumulative Reviews
Math Mammoth Grade 1 Tests and Cumulative Reviews includes consumable student copies of chapter tests, the end-of-year test, and additional cumulative review lessons to match Math Mammoth Grade 1 curriculum. This is the full-color version; in other words, the inside pages are in full color.
Math Mammoth Grade 1-A Worktext
Math Mammoth Grade 1-A (Light Blue Series) student worktext teaches the concepts of addition, subtraction, and place value with two-digit numbers. It is meant for the first half of grade 1. This student 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 is aligned to the Common Core standards. This is the full-color version; in other words, the inside pages are in full color. Please note this is a student worktext and does not contain answers.
Prime Suspects
An outrageous graphic novel that investigates key concepts in mathematics Integers and permutations--two of the most basic mathematical objects--are born of different fields and analyzed with separate techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body. Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics. Travel with Detective von Neumann as he leaves no clue unturned, from shepherds' huts in the Pyrenees to secret societies in the caf矇s of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the frustration--and the excitement--of our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all. Beautifully drawn and exquisitely detailed, Prime Suspects is unique, astonishing, and witty--a once-in-a-lifetime opportunity to experience mathematics like never before.
Goldbach Conjecture
These book consists of two parts: (i) A detailed introduction by the editor to provide a full exposition on the developments of the study of Goldbach conjecture, including a complete reference.(ii) A collection of original papers on Goldbach Conjecture and is intended for graduate students and researchers in analytic number theory who have an understanding of basic elementary number theory and the theory of the distribution of prime numbers. The basic methods for treating Goldbach Conjecture are the circle method of Hardy and Littlewood and the sieve method of Brun. This book contains papers with originalities and important progresses on these two methods and all the papers in Chinese, French, German and Russian have been translated into English.
Das Geheimnis Der Transzendenten Zahlen
Was ist Mathematik? Was macht sie so spannend? Und wie forschen Mathematiker eigentlich?Das Geheimnis der transzendenten Zahlen ist eine Einf羹hrung in die Mathematik, bei der diese Fragen im Zentrum stehen.Sie brauchen dazu keine Vorkenntnisse. Aufbauend auf den nat羹rlichen Zahlen 0,1,2,3, ... beginnt eine Reise durch verschiedene Gebiete dieser lebendigen Wissenschaft. Ziel der Reise sind die gro?en Entdeckungen, mit denen Jahrtausende alte R瓣tsel aus der Antike gel繹st wurden. Den roten Faden bildet die ber羹hmte Frage nach der Quadratur des Kreises, die eng mit transzendenten Zahlen verbunden ist.Das Buch zeigt, wie Mathematiker mit Neugier forschen, immer neue Fragen stellen und dabei 羹berraschende Zusammenh瓣nge finden. Es richtet sich an Studierende, Lehrer, Sch羹ler und Laien, die auch auf diesen Pfaden wandeln wollen.Das Werk wurde f羹r die 2. Auflage vollst瓣ndig 羹berarbeitet, durch intuitive Argumente vereinfacht und um das ber羹hmte siebte Hilbert'sche Problem erweitert.Stimme zum Buch: "Fridtjof Toenniessen f羹hrt den Leser mit seinem klaren, einf羹hlsamen und auch kurzweiligen Stil auf einen Weg, der von der Schulmathematik 羹ber Grundbegriffe der Hochschulmathematik bis hin zu ausgew瓣hlten H繹hepunkten der modernen Zahlentheorie f羹hrt und leistet damit einen wichtigen Beitrag, um den ?bergang von der Schule zur Hochschule zu erleichtern. Dieses Buch lebt von der Faszination der Welt der Zahlen und der Begeisterung des Autors f羹r dieses Gebiet. Besonders gut finde ich, dass auch Beweistechniken und die Methode der Abstraktion, die die Mathematik auszeichnen, nicht verborgen werden, sondern - im Gegenteil - in den Blickpunkt r羹cken." Prof. Dr. Stefan M羹ller-Stach, Universit瓣t Mainz
32 Techniques de Calcul Mental Rapide
Ce petit livre est une collection d'astuces et de techniques qui permettent d'acc矇l矇rer votre calcul mental. Si vous voulez les ma簾triser et les utiliser pleinement, vous devez les aborder consciencieusement et non m矇caniquement. Ils vous permettront de faire les calculs mentalement, sans erreur, comme si ces derniers 矇taient des calculs 矇crits.
1st Grade Math Workbooks
If it's math that your child is afraid of, then this book is the cure! This math workbook effectively breaks the concept of basic measurements into parts that are easily understood. This way, a child would treat the subject not with distaste but with fondness. The use of many examples, and the great layout, encourages self-paced learning, too! Secure a copy today!
2nd Grade Math Learning Games
If it's effective education that you want your child to experience, then you should buy him/her a copy of this math workbook. This book is a compilation of problems that your child would have to solve in order to gain full understanding of the concept of multiplication. So go ahead and buy a copy of this coloring book today!
3rd Grade Math Workbooks
Shapes are fun to color or identify but to use them in math? Learning geometry is all about timing plus the use of the right resource. Choose a workbook that is age-appropriate and at the same time, challenging too. You want to incorporate just the right amount of challenge to encourage learning, and not fear. Buy a copy today!
Multiplication 3rd Grade Math Essentials Children’s Arithmetic Books
Multiplication can be made fun and easy to do if you are able to encourage your child to practice as often as possible. After all, multiplication is all about mastery of the key math concepts. Such mastery can be achieved if resources are like this are studied and answered. Expect the exercises in this book to range from easy to difficult to encourage active learning. Grab a copy now!
Math Practice Addition Workbook - Two (2) Digit Addends Children’s Arithmetic Books Edition
Let's learn math, without the tears and fears of failing! The great thing about this workbook is that it breaks down otherwise complex math theories to make them more easily understood and absorbed. The examples are age-appropriate so this workbook can be used as a complement to official school textbooks. Self-paced learning is made possible if you have this workbook around!
Addition & Subtraction 2nd Grade Math Workbook Series Vol 2
Addition and subtraction are core math subjects that if mastered, will make advanced learning a breeze. It is important that you build your child's interest in math as early as possible by making it seem fun and highly interactive. This workbook is an excellent tool that you can use for this purpose. It is composed of several examples that a child can actually work on. Buy a copy now!
Fractions Workbook Grade 4 Math Essentials
Why should a child learn fractions? It's more than just the value of sharing, it's also about the ability to adopt new rules. You see, fractions are difficult to learn because rules make them complex. But if your child learns to follow them, then learning should be easy breezy. This workbook serves as an excellent introduction to the subject. Grab a copy now!
Fractions Workbook Grade 5 Math Essentials
At fifth grade, math is becoming quite a challenge. It's almost normal to see students giving up on fractions so encouragement is a must. The nice thing about keeping this workbook is that it complement school lessons. It allows a child to learn on his/her own; thereby effectively eliminating pressure to pass or fail. After all, math is all about mastery through repetition. Secure a copy now!
Fractions 3rd Grade Book Math Essentials
Fractions are naturally challenging because they have so many rules. But these rules are universal so you don't expect them to change anytime soon. Therefore, the best means of learning fractions would be to master the rules through several examples. This is the workbook that will help make mastery a possibility. So what are you waiting for? Secure a copy today!
1st Grade Math Textbook
Make math your child's favorite subject by making it easy to learn and retain. This textbook helps your child master counting and adding through practical examples that are age-appropriate but progressive. Your child will appreciate the layout of this educational book. He/she will also find the colors and texts highly appealing. Secure a copy today!
Fractions Workbook Grade 7 Math Essentials
Sometimes, all a child needs is complementary education. This means learning even outside the classroom using resources that encourage education of the same level as the academe. For example, this workbook on fractions is designed to make the topic easier to understand. It has been made to allow a child to study even though he/she is just at home. Expect better grades in fractions. Grab a copy now!
3rd Grade Math Workbooks
You can't teach a child math and expect him/her to completely understand it by just explaining the concept. It'll take much more than that. This means you have to guide him/her through examples, and make sure that these examples are progressive in nature. Don't just stick with level one, when you can go up to level two and three. Such progression is what this workbook is all about.
