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Figurate Numbers
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Download or read book Figurate Numbers written by Elena Deza and published by World Scientific. This book was released on 2012 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plane figurate numbers -- Space figurate numbers -- Multidimensional figurate members -- Areas of number theory including figurate numbers -- Fermat's polygonal number theorem.
Download or read book Figurate Numbers written by Elena Deza and published by World Scientific. This book was released on 2012-01-20 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Figurate numbers have a rich history with many applications. The main purpose of this book is to provide a thorough and complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs. This book is the first of this topic written in unified systematic way. It also contains many exercises with solutions. Contents:Plane Figurate NumbersSpace Figurate NumbersMultidimensional Figurate NumbersAreas of Number Theory including Figurate NumbersFermat's Polygonal Number TheoremZoo of Figurate-related Numbers Readership: Advanced undergraduate, graduate students and researchers in number theory. Keywords:Figurate Numbers;Polygonal Numbers;Diophantine Equations;Recurrence RelationsKey Features:It is the first on the subject containing all theory with full proofsContains many exercises with solutionsReviews: “The variety of questions addressed, which offers an opportunity for every reader's taste, together with the multiple levels of difficulty in the statements and proofs of results, makes this book just as adequate for researchers as well as for amateurs. It is also a source of intellectual pleasure for all.” Professor Capi Corrales Rodrigáñez Department of Algebra, Mathematics, UCM, Madrid
Book Synopsis Lessons for Algebraic Thinking by : Ann Lawrence
Download or read book Lessons for Algebraic Thinking written by Ann Lawrence and published by Math Solutions. This book was released on 2002 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lessons show how to maximize instruction that prepares students for formal algebra. Through a series of investigations, students build their proficiency with key algebraic concepts. Connections between arithmetic and algebra are made through the use of drawings, tables, graphs, words, and symbols. Lessons include a technology component with suggestions for teaching with graphing calculators.
Book Synopsis A Treatise of Algebra by : Thomas Simpson
Download or read book A Treatise of Algebra written by Thomas Simpson and published by . This book was released on 1767 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Number Treasury3 by : Margaret J Kenney
Download or read book Number Treasury3 written by Margaret J Kenney and published by World Scientific. This book was released on 2015-06-18 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical note accompanies the descriptions and examples of several of the families together with a mix of routine exercises and problems as well as some thought provokers to solve. Number Treasury3 especially aims to stimulate further study beyond the scope of the introductory treatment given in the book. The emphasis in Number Treasury3 is on doing not proving. However, the reader is directed to think critically about situations, to provide explanations, to make generalizations, and to formulate conjectures. To engage the reader from the start, the book begins with a set of rich Investigations. These are standalone activities that represent each of the chapters of the book. Contents:A Perfect Number of Investigations 28 = 1 + 2 + 4 + 7 + 14Numbers Based on Divisors and Proper DivisorsPlane Figurate NumbersSolid Figurate NumbersMore Prime ConnectionsDigital Patterns and Noteworthy NumbersMore Patterns and Other Interesting Numbers Readership: Secondary and intermediate classroom teacher and tertiary mathematics education instructor; undergraduates whose interest is in teaching mathematics at the pre-tertiary level and the segment of the general public for whom mathematics might be a hobby. Key Features:Differs from other books that treat numbers (formally or informally) because it contains numerous exercises and problems, detailed examples for the reader to follow, and the narrative is kept to a minimumHas broad appeal for different audiencesIs a gateway to families of positive integers which leads and encourages the reader to go beyond the book to deeper study of the topics presentedKeywords:Subsets of Positive Integers;Number Types/Families;Introductory Facts About Numbers
Book Synopsis The Good Life in the Scientific Revolution by : Matthew L. Jones
Download or read book The Good Life in the Scientific Revolution written by Matthew L. Jones and published by University of Chicago Press. This book was released on 2008-09-15 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: Amid the unrest, dislocation, and uncertainty of seventeenth-century Europe, readers seeking consolation and assurance turned to philosophical and scientific books that offered ways of conquering fears and training the mind—guidance for living a good life. The Good Life in the Scientific Revolution presents a triptych showing how three key early modern scientists, René Descartes, Blaise Pascal, and Gottfried Leibniz, envisioned their new work as useful for cultivating virtue and for pursuing a good life. Their scientific and philosophical innovations stemmed in part from their understanding of mathematics and science as cognitive and spiritual exercises that could create a truer mental and spiritual nobility. In portraying the rich contexts surrounding Descartes’ geometry, Pascal’s arithmetical triangle, and Leibniz’s calculus, Matthew L. Jones argues that this drive for moral therapeutics guided important developments of early modern philosophy and the Scientific Revolution.
Book Synopsis Psychology and Mathematics Education by : Gila Hanna
Download or read book Psychology and Mathematics Education written by Gila Hanna and published by Frontiers Media SA. This book was released on 2023-09-05 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).
Download or read book Let's Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise of Algebra written by Simpson and published by . This book was released on 1745 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics From the Birth of Numbers by : Jan Gullberg
Download or read book Mathematics From the Birth of Numbers written by Jan Gullberg and published by W. W. Norton & Company. This book was released on 1997-01-07 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated exploration of mathematics and its history, beginning with a study of numbers and their symbols, and continuing with a broad survey that includes consideration of algebra, geometry, hyperbolic functions, fractals, and many other mathematical functions.
Book Synopsis Recreations in the Theory of Numbers by : Albert H. Beiler
Download or read book Recreations in the Theory of Numbers written by Albert H. Beiler and published by Courier Corporation. This book was released on 1964-01-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.
Book Synopsis A New English Dictionary on Historical Principles by : Sir James Augustus Henry Murray
Download or read book A New English Dictionary on Historical Principles written by Sir James Augustus Henry Murray and published by . This book was released on 1901 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Book of Numbers by : Tianxin Cai
Download or read book The Book of Numbers written by Tianxin Cai and published by World Scientific. This book was released on 2016-08-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural numbers are the oldest human inventions. This volume describes their nature, laws, history and current status. The first five chapters contain not only the basics of elementary number theory for the convenience of teaching and continuity of reading, but also many latest research results. For the first time in history, the Chinese Remainder Theorem is renamed the Qin Jiushao Theorem to give him the full credit for his establishment of this famous theorem in number theory. Chapter 6 is about the fascinating congruence modulo an integer power, and Chapter 7 introduces a new problem extracted by the author from the classical problems of number theory, which is out of the combination of additive number theory and multiplicative number theory. In this volume, there is supplementary material after each section to broaden the reader's knowledge and imagination. It either discusses the rudiments of some aspects or introduces new topics, such as the perfect number problem, Goldbach's conjecture, the twin prime conjecture, the 3x + 1 problem, Waring's problem, Catalan's conjecture, Euler's conjecture, Fermat's Last Theorem, etc. Originally published in Chinese as in 2014, The Book of Numbers is written for anyone who loves natural numbers. The author is not only a mathematician, but also a literary and science writer, with more than 20 books published, many of which were translated into 20 languages.
Book Synopsis Multicultural Science and Math Connections by : Beatrice Lumpkin
Download or read book Multicultural Science and Math Connections written by Beatrice Lumpkin and published by Walch Publishing. This book was released on 1995 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students explore and practice brilliant discoveries from othe civilizations through readings and activities in this book.
Book Synopsis Introduction to Probability by : Charles Miller Grinstead
Download or read book Introduction to Probability written by Charles Miller Grinstead and published by American Mathematical Soc.. This book was released on 1997 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.
Book Synopsis A Treatise of Algebra. Wherein the Principles are Demonstrated, and Applied ... To which is Added, the Geometrical Construction of a Great Number of Linear and Plane Problems, with the Method of Resolving the Same Numerically. By Thomas Simpson, F.R.S. The Third Edition, Revised by : Thomas Simpson (F. R. S.)
Download or read book A Treatise of Algebra. Wherein the Principles are Demonstrated, and Applied ... To which is Added, the Geometrical Construction of a Great Number of Linear and Plane Problems, with the Method of Resolving the Same Numerically. By Thomas Simpson, F.R.S. The Third Edition, Revised written by Thomas Simpson (F. R. S.) and published by . This book was released on 1767 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Math Starters by : Judith A. Muschla
Download or read book Math Starters written by Judith A. Muschla and published by John Wiley & Sons. This book was released on 2013-08-22 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised edition of the bestselling activities guide for math teachers Now updated with new math activities for computers and mobile devices—and now organized by the Common Core State Standards—this book includes more than 650 ready-to-use math starter activities that get kids quickly focused and working as soon as they enter the classroom. Ideally suited for any math curriculum, these high-interest problems spark involvement in the day's lesson, help students build skills, and allow teachers to handle daily management tasks without wasting valuable instructional time. A newly updated edition of a bestselling title Ideal for math teachers in grades six through twelve Includes more than 650 ready-to-use starter problems
