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Author: Ellina Grigorieva
Publisher: Birkhäuser
ISBN: 3319909150
Category : Mathematics
Languages : en
Pages : 405
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Book Description
Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a systematic, creative manner. New solutions often require the ingenious use of earlier mathematical concepts - not the memorization of formulas and facts. Questions also often permit experimental numeric validation or visual interpretation to encourage the combined use of deductive and intuitive thinking. The first chapter starts with simple topics like even and odd numbers, divisibility, and prime numbers and helps the reader to solve quite complex, Olympiad-type problems right away. It also covers properties of the perfect, amicable, and figurate numbers and introduces congruence. The next chapter begins with the Euclidean algorithm, explores the representations of integer numbers in different bases, and examines continued fractions, quadratic irrationalities, and the Lagrange Theorem. The last section of Chapter Two is an exploration of different methods of proofs. The third chapter is dedicated to solving Diophantine linear and nonlinear equations and includes different methods of solving Fermat’s (Pell’s) equations. It also covers Fermat’s factorization techniques and methods of solving challenging problems involving exponent and factorials. Chapter Four reviews the Pythagorean triple and quadruple and emphasizes their connection with geometry, trigonometry, algebraic geometry, and stereographic projection. A special case of Waring’s problem as a representation of a number by the sum of the squares or cubes of other numbers is covered, as well as quadratic residuals, Legendre and Jacobi symbols, and interesting word problems related to the properties of numbers. Appendices provide a historic overview of number theory and its main developments from the ancient cultures in Greece, Babylon, and Egypt to the modern day. Drawing from cases collected by an accomplished female mathematician, Methods in Solving Number Theory Problems is designed as a self-study guide or supplementary textbook for a one-semester course in introductory number theory. It can also be used to prepare for mathematical Olympiads. Elementary algebra, arithmetic and some calculus knowledge are the only prerequisites. Number theory gives precise proofs and theorems of an irreproachable rigor and sharpens analytical thinking, which makes this book perfect for anyone looking to build their mathematical confidence.
Author: Phil Chambers
Publisher: LTL Training Ltd
ISBN: 1904906044
Category : Self-Help
Languages : en
Pages : 125
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Book Description
At last! The book that all maths and physics students have been waiting for - "How To Remember Equations And Formulae" “If you need to remember formulae of any length, for study or work, and you’d like your hand held while you master this skill effortlessly in a fun way, you should buy this book today.” Amanda Ollier, author of the Self Help Bible and The Mindset Shift Never forget an equation or formula ever again Save time in exams, get the results you really deserve Impress your tutors and potential employers Stand out against others in the job market Enhance your earning potential Perfect for anyone studying or teaching maths, physics, accountancy, economics, engineering or the sciences, from A levels right through to postgraduate. What the experts say... “This is an outstanding and comprehensive book that delivers on every promise! All memory strategies including mind mapping and the journey system are here for you to depend on and you’ll quickly realize this is your most treasured memory resource.” Pat Wyman, founder HowToLearn.com and author, Amazing Grades “I am delighted to recommend this book to students. Phil’s and James’ work is based on a sound application of the fundamental principles of memory training, namely the use of imagination, association, and location.” Dominic O’Brien, Eight times World Memory Champion, Author and Media Personality “Explains the techniques in a beautifully simple and eloquent manner.” David Thomas GMM. International speaker, Sunday Times No.1 bestselling author, media personality “What James Smith and Phil Chambers offer their readers here is a thoroughly researched and simple system, which combines mnemonics and mind mapping in a unique and interesting way. As well as covering just about every mathematical equation you can think of, James and Phil offer solutions for the English, Greek and Roman alphabets and all with a splash of humour and encouraging examples to get you started. I wish this has existed when I was at school, I will certainly be introducing this to my students and I am confident their results will improve as a direct result.” Amanda Ollier, author of The Self Help Bible and The Mindset Shift
Author: Arthur Benjamin
Publisher: Crown
ISBN: 030734746X
Category : Mathematics
Languages : en
Pages : 306
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Book Description
These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.
Author: Nelson Dellis
Publisher: Abrams
ISBN: 1683357760
Category : Juvenile Nonfiction
Languages : en
Pages : 259
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Book Description
A kid’s guide to amazing feats of memorization with “a variety of engaging memory exercises [and] methods for all different types of learners.” —Kirkus Reviews Nelson Dellis, the four-time USA Memory Champion, reveals the secrets to his phenomenal ability to remember almost anything. From presidents to state capitals, from mathematical theorems to the periodic table, kids have so much to remember for school! This incredibly helpful book is structured as an entertaining and fantastical narrative in which the author guides the reader as they attempt to climb Mount Foreverest. Up there, the goal is to defeat the Memory Thief, a villain plotting to steal everyone’s memories. On the journey, while encountering pirates, forest dwarves, and mummies, you’ll also find tools and tricks to remember the US presidents in order, foreign word meanings, countries and capitals, the periodic table, long numbers, and multiplication tables. These easily understandable exercises can help build skills to remember any kinds of words, lists, numbers, or concepts. Whether you’re trying to become a better student or just want to amaze friends and family, Memory Superpowers! is one unforgettable book. “[Steph] Stilwell’s bright illustrations accompany this book that’s full of useful tips that will help students enjoy learning to study better.” ?Booklist
Author: Kalid Azad
Publisher:
ISBN: 9781519711540
Category :
Languages : en
Pages : 98
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Book Description
Math, Better Explained is an intuitive guide to the math fundamentals. Learn math the way your teachers always wanted.
Author: Michael Shermer
Publisher: Souvenir Press
ISBN: 0285640666
Category : Mathematics
Languages : en
Pages : 237
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Book Description
Did you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.
Author: Ellina Grigorieva
Publisher: Birkhäuser
ISBN: 3319909150
Category : Mathematics
Languages : en
Pages : 405
Get Book Here
Book Description
Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a systematic, creative manner. New solutions often require the ingenious use of earlier mathematical concepts - not the memorization of formulas and facts. Questions also often permit experimental numeric validation or visual interpretation to encourage the combined use of deductive and intuitive thinking. The first chapter starts with simple topics like even and odd numbers, divisibility, and prime numbers and helps the reader to solve quite complex, Olympiad-type problems right away. It also covers properties of the perfect, amicable, and figurate numbers and introduces congruence. The next chapter begins with the Euclidean algorithm, explores the representations of integer numbers in different bases, and examines continued fractions, quadratic irrationalities, and the Lagrange Theorem. The last section of Chapter Two is an exploration of different methods of proofs. The third chapter is dedicated to solving Diophantine linear and nonlinear equations and includes different methods of solving Fermat’s (Pell’s) equations. It also covers Fermat’s factorization techniques and methods of solving challenging problems involving exponent and factorials. Chapter Four reviews the Pythagorean triple and quadruple and emphasizes their connection with geometry, trigonometry, algebraic geometry, and stereographic projection. A special case of Waring’s problem as a representation of a number by the sum of the squares or cubes of other numbers is covered, as well as quadratic residuals, Legendre and Jacobi symbols, and interesting word problems related to the properties of numbers. Appendices provide a historic overview of number theory and its main developments from the ancient cultures in Greece, Babylon, and Egypt to the modern day. Drawing from cases collected by an accomplished female mathematician, Methods in Solving Number Theory Problems is designed as a self-study guide or supplementary textbook for a one-semester course in introductory number theory. It can also be used to prepare for mathematical Olympiads. Elementary algebra, arithmetic and some calculus knowledge are the only prerequisites. Number theory gives precise proofs and theorems of an irreproachable rigor and sharpens analytical thinking, which makes this book perfect for anyone looking to build their mathematical confidence.
Author:
Publisher: National Academies
ISBN:
Category : Mathematics
Languages : en
Pages : 102
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Book Description
Author: Brock Eide
Publisher: Hachette Books
ISBN: 1401384781
Category : Family & Relationships
Languages : en
Pages : 419
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Book Description
An incredibly reassuring approach by two physicians who specialize in helping children overcome their difficulties in learning and succeeding in school For parents, teachers, and other professionals seeking practical guidance about ways to help children with learning problems, this book provides a comprehensive look at learning differences ranging from dyslexia to dysgraphia, to attention problems, to giftedness. In The Mislabeled Child, the authors describe how a proper understanding of a child's unique brain-based strengths can be used to overcome many different obstacles to learning. They show how children are often mislabeled with diagnoses that are too broad (ADHD, for instance) or are simply inaccurate. They also explain why medications are often not the best ways to help children who are struggling to learn. The authors guide readers through the morass of commonly used labels and treatments, offering specific suggestions that can be used to help children at school and at home. This book offers extremely empowering information for parents and professionals alike. The Mislabeled Child examines a full spectrum of learning disorders, from dyslexia to giftedness, clarifying the diagnoses and providing resources to help. The Eides explain how a learning disability encompasses more than a behavioral problem; it is also a brain dysfunction that should be treated differently.
Author: Nelda W. Roueche
Publisher: Prentice Hall
ISBN:
Category : Business mathematics
Languages : en
Pages : 520
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Book Description
Author: Gerald R. Rising
Publisher: John Wiley & Sons
ISBN: 0470124598
Category : Mathematics
Languages : en
Pages : 305
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Book Description
Uncover the mysteries that lie within your calculator This remarkable book explores the simple internal calculatorprocesses—algorithms and programs—that tell us, forexample, that the cosine of 56? is 0.5591929035. Using carefullyconstructed diagrams and figures, the author effectivelydemonstrates how calculator keys compute powers, roots, logarithms,and trigonometry functions, while also providing insights intosimple programming, the conversion between decimal and binarynumeration, and perhaps most importantly, the structure of ournumeration systems. Many people believe that the processes thatdrive calculators demand advanced mathematical concepts; however,this book proves that a minimal understanding of algebra andgeometry is all that is needed to follow the step-by-stepexplanations of how scientific calculators work. Inside Your Calculator: From Simple Programs to SignificantInsights is a complete and multifaceted exercise in criticalthinking. This book features: A detailed explanation of how to use a graphics calculator andprogram basic functions A discussion of the history of mathematics when appropriate,which provides a foundation for further learning Fundamental mathematical lessons and interesting applications ofpre-calculus mathematics A thorough review of the fundamentals of programming, algebra,and geometry needed to gain insight into why the algorithms workand how the results are meaningful in our lives While the simultaneous use of a calculator is not needed to gaininsight into how the algorithms work, those who do have aprogrammable graphics calculator can experiment with the programspresented in the book. These programs may be used on TI-84 andTI-83 calculators, and additional information for other TexasInstruments calculators as well as the Casio FX series is availableon the book's related web site. As a result of over fifty years of award-winning teachingexperience in both high school and college classrooms, Dr. Risinganticipates and answers potential questions from readers, and hesuccessfully brings this subject alive in an illuminating andentertaining way. This book is therefore not only ideal forundergraduate mathematics majors as either a primary orsupplemental text, but it also appeals to anyone with an interestin mathematics and its ideas. View Dr. Rising's book presentation: atitle="http://www.youtube.com/watch?v=aqadHbc2YOA"href="http://www.youtube.com/watch?v=aqadHbc2YOA"http://www.youtube.com/watch?v=aqadHbc2YOA/a
