Rational Numbers
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Rational Numbers
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Author : Thomas P. Carpenter
language : en
Publisher: Routledge
Release Date : 2012-10-12
Rational Numbers written by Thomas P. Carpenter and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-12 with Education categories.
Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and learning in schools that will inform curriculum development and assessment. The chapters in this volume represent a first step toward an integration of research paradigms in one clearly specified mathematical domain. Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration. The research discussed in this volume is tied together because it deals with a common content strand. During the last ten years specific content domains have served as focal points for research on the development of mathematical concepts in children. The areas of addition and subtraction, algebra, rational numbers, and geometry are notable examples. Whether a similar organizational structure will prevail for programs of research that integrate the study of teaching, learning, curriculum, and assessment is an open question. The perspectives presented in this volume illustrate the potential for adopting this perspective.
Introduction To Rational Numbers
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Author : Adrian Harrison
language : en
Publisher:
Release Date : 2019-10-03
Introduction To Rational Numbers written by Adrian Harrison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-03 with categories.
Introduction to Rational numbers This book includes a brief explanation part, example with solutions and multiple-choice questions with answer sheet and it has been prepared for the beginners to help them understand the basic concepts of rational numbers. RATIONAL NUMBERS DECIMAL NUMBERS REOCCURING DECIMALS TEST WITH SOLUTIONS QUESTIONS
Rational Number Theory In The 20th Century
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Author : Władysław Narkiewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-02
Rational Number Theory In The 20th Century written by Władysław Narkiewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-02 with Mathematics categories.
The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
The Moment Of Proof
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Author : Donald C. Benson
language : en
Publisher:
Release Date : 2000
The Moment Of Proof written by Donald C. Benson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
A brilliant introduction to the pleasures of mathematical thinking, this book attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant truth. 92 line illustrations.
The Heart Of Mathematics
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Author : Edward B. Burger
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-18
The Heart Of Mathematics written by Edward B. Burger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-18 with Mathematics categories.
Hallmark features include: * A focus on the important ideas of mathematics that students will retain long after their formal studies are complete. * An engaging and humorous style, written to be read and enjoyed. * Ten Life Lessons that readers will apply beyond their study of mathematics. * Use of a variety of visualization techniques that direct students to model their thinking and to actively explore the world around them. New to this Edition: * A new chapter, Deciding Wisely: Applications of Rigorous Thought, provides a thought-provoking capstone. * Expanded and improved statistics and probability content in Chapter 7, Taming Uncertainty. * Enhanced Mindscapes at the end of each section which ask the reader to review, apply and think deeply about the ideas presented in the chapter. * Radically superior ancillary package.
Intelligent Design
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Author : William A. Dembski
language : en
Publisher: InterVarsity Press
Release Date : 2002-07-12
Intelligent Design written by William A. Dembski and has been published by InterVarsity Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-12 with Religion categories.
In this book William A. Dembski brilliantly argues that intelligent design provides a crucial link between science and theology. This is a pivotal work from a thinker whom Phillip Johnson calls "one of the most important of the `design' theorists."
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Author :
language : en
Publisher: Arihant Publications India limited
Release Date :
written by and has been published by Arihant Publications India limited this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
God Created The Integers
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Author : Stephen Hawking
language : en
Publisher: Running Press Adult
Release Date : 2007-03-29
God Created The Integers written by Stephen Hawking and has been published by Running Press Adult this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-29 with Mathematics categories.
Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.
A Concise Handbook Of Mathematics Physics And Engineering Sciences
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2010-10-18
A Concise Handbook Of Mathematics Physics And Engineering Sciences written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-18 with Mathematics categories.
A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students
Taking The Oof Out Of Proofs
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Author : Alexandr Draganov
language : en
Publisher: CRC Press
Release Date : 2024-04-08
Taking The Oof Out Of Proofs written by Alexandr Draganov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-08 with Mathematics categories.
This book introduces readers to the art of doing mathematical proofs. Proofs are the glue that holds mathematics together. They make connections between math concepts and show why things work the way they do. This book teaches the art of proofs using familiar high-school concepts, such as numbers, polynomials, functions, and trigonometry. It retells math as a story, where the next chapter follows from the previous one. Readers will see how various mathematical concepts are tied and will see that mathematics is not a pile of formulas and facts; rather, it has an orderly and beautiful edifice. The author begins with basic rules of logic and then progresses through the topics already familiar to the students: numbers, inequalities, functions, polynomials, exponents, and trigonometric functions. There are also beautiful proofs for conic sections, sequences, and Fibonacci numbers. Each chapter has exercises for the reader. Reviewer Comments: I find the book very impressive. The choice and sequence of topics is excellent, and it is wonderful to have all of these things together in one volume. Theorems are clearly stated, and proofs are accurate. – Michael Comenetz The thoroughness of the narrative is one of the main strengths of the book. The book provides a perfect illustration of mathematical thinking. Each step of a given derivation is precise and clear. – Julie Gershunskaya Draganov’s book stands out from the many competing books. Draganov’s goal is to show that mathematics depends on the notion of proof. Unlike other transition books, he addresses mathematical topics at an accessible level, rather than topics studied later in the university curriculum. – Ken Rosen