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'.

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.

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!

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.

Elementary Mathematical Models

Author : Dan Kalman
Publisher : American Mathematical Society
ISBN 13 : 1470473003
Total Pages : 363 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Elementary Mathematical Models by : Dan Kalman

Download or read book Elementary Mathematical Models written by Dan Kalman and published by American Mathematical Society. This book was released on 2023-03-09 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The language of mathematics has proven over centuries of application to be an indispensable tool for the expression and analysis of real problems. With numerical, graphical, and theoretical methods, this book examines the relevance of mathematical models to phenomena ranging from population growth and economics to medicine and the physical sciences. In a book written for the intelligent and literate non-mathematician, Kalman aims at an understanding of the power and utility of quantitative methods rather than at technical mastery of mathematical operations. He shows first that mathematical models can serve a critical function in understanding the world, and he concludes with a discussion of the problems encountered by traditional algebraic assumptions in chaos theory. Though models can often approximate future events based on existing data and quantitative relationships, Kalman shows that the appearance of regularity and order can often be misleading. By beginning with quantitative models and ending with an introduction to chaos, Kalman offers a broad treatment of both the power and limitations of quantitatively-based predictions.

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 : 1118415531
Total Pages : 320 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 320 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.

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

Author : Dan Kalman
Publisher : American Mathematical Soc.
ISBN 13 : 1470450011
Total Pages : 528 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 528 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.

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.

Eco-Mathematics Education

Author : Nataly Chesky
Publisher : BRILL
ISBN 13 : 9004466800
Total Pages : 202 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Eco-Mathematics Education by : Nataly Chesky

Download or read book Eco-Mathematics Education written by Nataly Chesky and published by BRILL. This book was released on 2021-10-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eco-Mathematics Education strives to show how everyone can experience the embedded connection between mathematics and the natural world. The authors’ sincere hope is that by doing so, we can radically change the way we come to understand mathematics, as well as humanity’s place in the ecosystem. The book hopes to accomplish this by providing in-depth lesson plans and resources for educators and anyone interested in teaching and learning mathematics through an ecological aesthetic perspective. All lessons are based on the inquiry method of teaching, aligned to standards, incorporate art projects inspired by famous artists, and utilize recycled and/or natural materials as much as possible.

Growing Patterns

Author : Sarah C. Campbell
Publisher : Astra Publishing House
ISBN 13 : 1635928370
Total Pages : 35 pages
Book Rating : 4.6/5 (359 download)

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Book Synopsis Growing Patterns by : Sarah C. Campbell

Download or read book Growing Patterns written by Sarah C. Campbell and published by Astra Publishing House. This book was released on 2022-07-26 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALSC Notable Children's Book A wonderful introduction to one of the most beautiful connections between mathematics and the natural world–the Fibonacci sequence–through a series of stunning nature photographs. Discover the biggest mathematical mystery in nature—Fibonacci numbers! Named after a famous mathematician, the number pattern is simple and starts with: 1, 1, 2, 3, 5, 8, 13. Each number in the sequence comes from adding the two numbers before it. What's the mystery? The pattern crops up in the most unexpected places. You'll find it in the disk of a sunflower, the skin of a pineapple, and the spiral of a nautilus shell. This book brings math alive, celebrates science, and will inspire kids to see nature through new eyes.

Individual Differences in Arithmetical Development

Author : Ann Dowker
Publisher : Frontiers Media SA
ISBN 13 : 2889633764
Total Pages : 295 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Individual Differences in Arithmetical Development by : Ann Dowker

Download or read book Individual Differences in Arithmetical Development written by Ann Dowker and published by Frontiers Media SA. This book was released on 2020-01-03 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

An Easy Start in Arithmetic

Author : Ruth Beechick
Publisher : Arrow Press
ISBN 13 : 9780940319011
Total Pages : 36 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis An Easy Start in Arithmetic by : Ruth Beechick

Download or read book An Easy Start in Arithmetic written by Ruth Beechick and published by Arrow Press. This book was released on 1986-05 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author gives many helpful hints for teachers so that they may have an easy start in arithmetic for their students in the K-3 group. These hints are for both home schooling teachers and classroom teachers.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

The Growth Mindset Playbook

Author : Annie Brock
Publisher : Simon and Schuster
ISBN 13 : 1612436943
Total Pages : 167 pages
Book Rating : 4.6/5 (124 download)

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Book Synopsis The Growth Mindset Playbook by : Annie Brock

Download or read book The Growth Mindset Playbook written by Annie Brock and published by Simon and Schuster. This book was released on 2017-08-08 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover effective and accessible tools for transforming your classroom and inspiring your students with this easy-to-use guide. Students who harness the power of growth mindset can succeed beyond their wildest imagination. The key is having a growth-mindset teacher who provides support, guidance, and encouragement. Packed with research-based teaching methods, this approachable guide for applying the growth mindset offers: • Tips for overcoming challenges • Strategies for inspiring students • Ideas for constructive feedback • Techniques for improving communication • Examples of engaging lesson plans The follow-up to the bestselling The Growth Mindset Coach, this expert handbook highlights several best practices for helping students realize their potential, explore new opportunities, and succeed socially and academically.

A Dictionary of Plant Sciences

Author : Michael Allaby
Publisher : Oxford University Press, USA
ISBN 13 : 9780198608912
Total Pages : 510 pages
Book Rating : 4.6/5 (89 download)

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Book Synopsis A Dictionary of Plant Sciences by : Michael Allaby

Download or read book A Dictionary of Plant Sciences written by Michael Allaby and published by Oxford University Press, USA. This book was released on 2006 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive paperback dictionary of botany, this edition provides over 5500 concise entries and includes coverage of biochemistry, plant physiology, cytology, ecology, genetics, evolution, biogeography, Earth history, and the Earth sciences. Previous ed.: 1998.

The 512 Ants on Sullivan Street

Author : Carol A. Losi
Publisher : Cartwheel Books
ISBN 13 : 9780439798549
Total Pages : 0 pages
Book Rating : 4.7/5 (985 download)

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Book Synopsis The 512 Ants on Sullivan Street by : Carol A. Losi

Download or read book The 512 Ants on Sullivan Street written by Carol A. Losi and published by Cartwheel Books. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ants are stealing all the goodies in this Level 4 Scholastic Math Reader! Written in the style of the cumulative poem "This Is the House That Jack Built," this story is a delightful look at doubling, as ants steal food from a family picnic. Soon, all the food has gone down the ant hole!