Growth In Arithmetic

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Subgroup Growth

Author : Alexander Lubotzky
Publisher : Birkhäuser
ISBN 13 : 3034889658
Total Pages : 463 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Subgroup Growth by : Alexander Lubotzky

Download or read book Subgroup Growth written by Alexander Lubotzky and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'.

Growth Patterns

Author :
Publisher : University of California, Berkeley, Lawrence Hall of Science
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Growth Patterns by :

Download or read book Growth Patterns written by and published by University of California, Berkeley, Lawrence Hall of Science. This book was released on 1994 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Development of Arithmetic Concepts and Skills

Author : Arthur J. Baroody
Publisher : Routledge
ISBN 13 : 1135672229
Total Pages : 516 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis The Development of Arithmetic Concepts and Skills by : Arthur J. Baroody

Download or read book The Development of Arithmetic Concepts and Skills written by Arthur J. Baroody and published by Routledge. This book was released on 2013-06-17 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including "normally" and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed "adaptive expertise" (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups. This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).

Growth in Mathematics

Author :
Publisher :
ISBN 13 : 9780153512773
Total Pages : pages
Book Rating : 4.5/5 (127 download)

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Book Synopsis Growth in Mathematics by :

Download or read book Growth in Mathematics written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a non-graded program but corresponds to books one through eight in a traditional program.

The Development of Mathematics

Author : E. T. Bell
Publisher : Courier Corporation
ISBN 13 : 0486152286
Total Pages : 657 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Development of Mathematics by : E. T. Bell

Download or read book The Development of Mathematics written by E. T. Bell and published by Courier Corporation. This book was released on 2012-09-11 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Growth in mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (821 download)

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Book Synopsis Growth in mathematics by :

Download or read book Growth in mathematics written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a non-graded program but corresponds to books one through eight in a traditional program.

Growth in Arithmetic

Author : John Roscoe Clark
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (246 download)

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Book Synopsis Growth in Arithmetic by : John Roscoe Clark

Download or read book Growth in Arithmetic written by John Roscoe Clark and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Making up Numbers: A History of Invention in Mathematics

Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp

Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Mathematical Mindsets

Author : Jo Boaler
Publisher : John Wiley & Sons
ISBN 13 : 1118418271
Total Pages : 311 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Mathematical Mindsets by : Jo Boaler

Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Growth in mathematics

Author : David W. Wells
Publisher :
ISBN 13 : 9780153512834
Total Pages : 358 pages
Book Rating : 4.5/5 (128 download)

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Book Synopsis Growth in mathematics by : David W. Wells

Download or read book Growth in mathematics written by David W. Wells and published by . This book was released on 1978 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Growth of Mathematical Ideas, Grades K-12

Author : National Council of Teachers of Mathematics
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Growth of Mathematical Ideas, Grades K-12 by : National Council of Teachers of Mathematics

Download or read book The Growth of Mathematical Ideas, Grades K-12 written by National Council of Teachers of Mathematics and published by . This book was released on 1959 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How Math Works

Author : G. Arnell Williams
Publisher : Rowman & Littlefield Publishers
ISBN 13 : 1442218762
Total Pages : 347 pages
Book Rating : 4.4/5 (422 download)

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Book Synopsis How Math Works by : G. Arnell Williams

Download or read book How Math Works written by G. Arnell Williams and published by Rowman & Littlefield Publishers. This book was released on 2013-04-04 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math’s place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we’re not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn’t do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and “recipes” by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!

TE Wkbk Green/Growth Mth 78 G3

Author : Robert Postman
Publisher :
ISBN 13 : 9780153513312
Total Pages : pages
Book Rating : 4.5/5 (133 download)

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Book Synopsis TE Wkbk Green/Growth Mth 78 G3 by : Robert Postman

Download or read book TE Wkbk Green/Growth Mth 78 G3 written by Robert Postman and published by . This book was released on 1978-08-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math in Society

Author : David Lippman
Publisher :
ISBN 13 : 9781479276530
Total Pages : 0 pages
Book Rating : 4.2/5 (765 download)

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Book Synopsis Math in Society by : David Lippman

Download or read book Math in Society written by David Lippman and published by . This book was released on 2012-09-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.

Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition

Author : Dan Kalman
Publisher : American Mathematical Soc.
ISBN 13 : 1470450011
Total Pages : 509 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition by : Dan Kalman

Download or read book Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition written by Dan Kalman and published by American Mathematical Soc.. This book was released on 2019-08-02 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.

Political Arithmetic

Author : Robert William Fogel
Publisher : University of Chicago Press
ISBN 13 : 0226256618
Total Pages : 163 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis Political Arithmetic by : Robert William Fogel

Download or read book Political Arithmetic written by Robert William Fogel and published by University of Chicago Press. This book was released on 2013-04-15 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: We take for granted today that the assessments, measurements, and forecasts of economists are crucial to the decision-making of governments and businesses alike. But less than a century ago that wasn’t the case—economists simply didn’t have the necessary information or statistical tools to understand the ever more complicated modern economy. With Political Arithmetic, Nobel Prize–winning economist Robert Fogel and his collaborators tell the story of economist Simon Kuznets, the founding of the National Bureau of Economic Research, and the creation of the concept of GNP, which for the first time enabled us to measure the performance of entire economies. The book weaves together the many strands of political and economic thought and historical pressures that together created the demand for more detailed economic thinking—Progressive-era hopes for activist government, the production demands of World War I, Herbert Hoover’s interest in business cycles as President Harding’s commerce secretary, and the catastrophic economic failures of the Great Depression—and shows how, through trial and error, measurement and analysis, economists such as Kuznets rose to the occasion and in the process built a discipline whose knowledge could be put to practical use in everyday decision-making. The product of a lifetime of studying the workings of economies and skillfully employing the tools of economics, Political Arithmetic is simultaneously a history of a key period of economic thought and a testament to the power of applied ideas.

Dancing with Qubits

Author : Robert S. Sutor
Publisher : Packt Publishing Ltd
ISBN 13 : 1838825258
Total Pages : 515 pages
Book Rating : 4.8/5 (388 download)

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Book Synopsis Dancing with Qubits by : Robert S. Sutor

Download or read book Dancing with Qubits written by Robert S. Sutor and published by Packt Publishing Ltd. This book was released on 2019-11-28 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the principles and practicalities of quantum computing Key Features Discover how quantum computing works and delve into the math behind it with this quantum computing textbook Learn how it may become the most important new computer technology of the century Explore the inner workings of quantum computing technology to quickly process complex cloud data and solve problems Book Description Quantum computing is making us change the way we think about computers. Quantum bits, a.k.a. qubits, can make it possible to solve problems that would otherwise be intractable with current computing technology. Dancing with Qubits is a quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. From there it moves on to a fuller description of classical computing and the mathematical underpinnings necessary to understand such concepts as superposition, entanglement, and interference. Next up is circuits and algorithms, both basic and more sophisticated. It then nicely moves on to provide a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments will affect you. Really understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is introduced and explained thoroughly, in clear English with helpful examples. What you will learn See how quantum computing works, delve into the math behind it, what makes it different, and why it is so powerful with this quantum computing textbook Discover the complex, mind-bending mechanics that underpin quantum systems Understand the necessary concepts behind classical and quantum computing Refresh and extend your grasp of essential mathematics, computing, and quantum theory Explore the main applications of quantum computing to the fields of scientific computing, AI, and elsewhere Examine a detailed overview of qubits, quantum circuits, and quantum algorithm Who this book is for Dancing with Qubits is a quantum computing textbook for those who want to deeply explore the inner workings of quantum computing. This entails some sophisticated mathematical exposition and is therefore best suited for those with a healthy interest in mathematics, physics, engineering, and computer science.