Figurate Numbers

Author : Elena Deza
Publisher : World Scientific
ISBN 13 : 9814355488
Total Pages : 475 pages
Book Rating : 4.83/5 ( download)

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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.

Author : Elena Deza
Publisher : World Scientific
ISBN 13 : 9814458538
Total Pages : 476 pages
Book Rating : 4.35/5 ( download)

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Download or read book Figurate Numbers written by Elena Deza and published by World Scientific. This book was released on 2012-01-20 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

Author : Ann Lawrence
Publisher : Math Solutions
ISBN 13 : 0941355497
Total Pages : 278 pages
Book Rating : 4.90/5 ( download)

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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.

Author : Thomas Simpson
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.72/5 ( download)

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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:

Author : Margaret J Kenney
Publisher : World Scientific
ISBN 13 : 9814603716
Total Pages : 324 pages
Book Rating : 4.13/5 ( download)

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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

Author : Matthew L. Jones
Publisher : University of Chicago Press
ISBN 13 : 0226409562
Total Pages : 809 pages
Book Rating : 4.66/5 ( download)

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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.

Author : Gila Hanna
Publisher : Frontiers Media SA
ISBN 13 : 2832529992
Total Pages : 552 pages
Book Rating : 4.97/5 ( download)

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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).

Author : Denise Gaskins
Publisher : Tabletop Academy Press
ISBN 13 : 1892083248
Total Pages : 288 pages
Book Rating : 4.41/5 ( download)

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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:

Author : Simpson
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.34/5 ( download)

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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:

Author : Jan Gullberg
Publisher : W. W. Norton & Company
ISBN 13 : 9780393040029
Total Pages : 1148 pages
Book Rating : 4.2X/5 ( download)

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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.