Geometrical Kaleidoscope

Author: Boris Pritsker

Publisher: Courier Dover Publications

ISBN: 0486812413

Category: Mathematics

Page: 144

View: 5331

A high school course in geometry and interest in the subject are the only prerequisites for this recreational math book. Includes relevant theorems, worked examples, and problems for readers to solve. Solutions included.

Differential Geometry

Author: Erwin Kreyszig

Publisher: Courier Corporation

ISBN: 9780486667218

Category: Mathematics

Page: 352

View: 8191

Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"

Contemporary Research and Perspectives on Early Childhood Mathematics Education

Author: Iliada Elia,Joanne Mulligan,Ann Anderson,Anna Baccaglini-Frank,Christiane Benz

Publisher: Springer

ISBN: 3319734326

Category: Education

Page: 326

View: 8528

This book brings together a collection of research-based papers on current issues in early childhood mathematics education that were presented in the Topic Study Group 1 (TSG 1) at the 13th International Congress on Mathematical Education (ICME-13), held at the University of Hamburg in 2016. It will help readers understand a range of key issues that early childhood mathematics educators encounter today. Research on early childhood mathematics education has grown in recent years, due in part to the well-documented, positive relation between children’s early mathematical knowledge and their later mathematics learning, and to the considerable emphasis many countries are now placing on preschool education. The book addresses a number of central questions, including: What is mathematical structural development and how can we promote it in early childhood? How can multimodality and embodiment contribute to early mathematics learning and to acquiring a better understanding of young children’s mathematical development? How can children’s informal mathematics-related experiences affect instruction and children’s learning in different mathematics content areas? What is the role of tools, including technology and picture books, in supporting early mathematics learning? What are the challenges in early childhood mathematics education for teachers’ education and professional development?

The Equations World

Author: Boris Pritsker

Publisher: Dover Publications

ISBN: 9780486832807

Category:

Page: 288

View: 9333

In this original work, Pritsker utilizes his masterful ability to convey the excitement and elegance of mathematics to explore equations of all kinds, shapes, and sizes, while discussing their history, charm, and usefulness in solving problems from easy to extremely difficult. 2019 edition.

Regular Polytopes

Author: H. S. M. Coxeter

Publisher: Courier Corporation

ISBN: 0486141586

Category: Mathematics

Page: 368

View: 6238

Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition.

Symmetry, Shape and Space

An Introduction to Mathematics Through Geometry

Author: L.Christine Kinsey,Teresa E. Moore

Publisher: Springer Science & Business Media

ISBN: 9781930190092

Category: Mathematics

Page: 494

View: 4994

This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.

Treks into Intuitive Geometry

The World of Polygons and Polyhedra

Author: Jin Akiyama,Kiyoko Matsunaga

Publisher: Springer

ISBN: 4431558438

Category: Mathematics

Page: 425

View: 3119

This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The authors believe that through dialogues between students and mathematicians, readers may discover the processes by which the founders of the theories came to their various conclusions―their trials, errors, tribulations, and triumphs. The goal is for readers to refine their mathematical sense of how to find good questions and how to grapple with these problems. Another aim is to provide enjoyment in the process of applying mathematical rules to beautiful art and design by examples that highlight the wonders and mysteries from our daily lives. To fulfill these aims, this book deals with the latest unique and beautiful results in polygons and polyhedra and the dynamism of geometrical research history that can be found around us. The term "intuitive geometry" was coined by Lászlo Fejes Tóth to refer to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book allows people to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity.

Eine kurze Geschichte der Menschheit

Author: Yuval Noah Harari

Publisher: DVA

ISBN: 364110498X

Category: History

Page: 528

View: 9606

Krone der Schöpfung? Vor 100 000 Jahren war der Homo sapiens noch ein unbedeutendes Tier, das unauffällig in einem abgelegenen Winkel des afrikanischen Kontinents lebte. Unsere Vorfahren teilten sich den Planeten mit mindestens fünf weiteren menschlichen Spezies, und die Rolle, die sie im Ökosystem spielten, war nicht größer als die von Gorillas, Libellen oder Quallen. Vor 70 000 Jahren dann vollzog sich ein mysteriöser und rascher Wandel mit dem Homo sapiens, und es war vor allem die Beschaffenheit seines Gehirns, die ihn zum Herren des Planeten und zum Schrecken des Ökosystems werden ließ. Bis heute hat sich diese Vorherrschaft stetig zugespitzt: Der Mensch hat die Fähigkeit zu schöpferischem und zu zerstörerischem Handeln wie kein anderes Lebewesen. Anschaulich, unterhaltsam und stellenweise hochkomisch zeichnet Yuval Harari die Geschichte des Menschen nach und zeigt alle großen, aber auch alle ambivalenten Momente unserer Menschwerdung.

Satan, Cantor und die Unendlichkeit

und 200 weitere verblüffende Tüfteleien

Author: Raymond Smullyan

Publisher: Springer-Verlag

ISBN: 3034862318

Category: Juvenile Nonfiction

Page: 232

View: 7579

Analysis I

Author: Christiane Tretter

Publisher: Springer-Verlag

ISBN: 3034803494

Category: Mathematics

Page: 157

View: 3036

Das Lehrbuch ist der erste von zwei einführenden Bänden in die Analysis. Es zeichnet sich dadurch aus, dass alle klassischen Themen der Analysis des ersten Semesters kompakt zusammengefasst sind und dennoch auf typische Anfängerprobleme eingegangen wird. Neben einer Einführung in die formale Sprache und die wichtigsten Beweistechniken der Mathematik bietet der Band eingängige Erläuterungen zu abstrakten Begriffen. Alle prüfungsrelevanten Inhalte sind abgedeckt und können anhand von Beispielen, Gegenbeispielen und Aufgaben nachvollzogen werden.

Die Idee der Riemannschen Fläche

mit 28 in den text Gedruckten Figuren

Author: Hermann Weyl

Publisher: N.A

ISBN: N.A

Category: Riemann surfaces

Page: 183

View: 4547

Untersuchungen über höhere Arithmetik

Author: Carl Friedrich Gauss

Publisher: American Mathematical Soc.

ISBN: 0821842137

Category: Mathematics

Page: 695

View: 6803

In this volume are included all of Gauss's number-theoretic works: his masterpiece, Disquisitiones Arithmeticae, published when Gauss was only 25 years old; several papers published during the ensuing 31 years; and papers taken from material found in Gauss's handwriting after his death. These papers include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, researches on biquadratic residues, quadratic forms, and other topics. This reprint of the German translation from Latin of the second edition published in 1889 includes an extensive appendix and concludes with a commentary on the papers (with references, where appropriate, to the relevant pages of the Disquisitiones).

Flacherland

die unglaubliche Reise der Vikki Line durch Raum und Zeit

Author: Ian Stewart

Publisher: N.A

ISBN: 9783499619199

Category:

Page: 383

View: 4167

Unvergängliche Geometrie

Author: H.S. Coxeter

Publisher: Springer-Verlag

ISBN: 3034851510

Category: Juvenile Nonfiction

Page: 558

View: 9339

M. C. Escher Kaleidozyklen

Author: Maurits Cornelis Escher,Doris Schattschneider,Wallace Walker

Publisher: Benedikt Taschen Verlag

ISBN: 9783822896006

Category:

Page: 40

View: 3508

Geometrische Figuren selber basteln Jeder liebt Überraschungen. In diesem Buch wird der Zauber von Eschers Werk dreidimensional zur Wirkung gebracht. Sie selbst können aus vorgestanzten Bögen wunderschön dekorierte geometrische Figuren basteln. Entdecken Sie die Schönheit von Regelmäßigkeit und Symmetrie, die aus der Kombination von Geometrie und Eschers Bildkunst hervorgeht.