a participatory approach to modern geometry

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A Participatory Approach To Modern Geometry

Author : Jay Kappraff
ISBN : 9789814556729
Genre : Mathematics
File Size : 34. 49 MB
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This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. The constructive approach using compass and straightedge engages students, not just on an intellectual level, but also at a tactile level. This may be the only rigorous book offering geometry that attempts to engage students outside of the mathematics discipline.

Connections

Author : Jay Kappraff
ISBN : 9812811397
Genre : Science
File Size : 81. 90 MB
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The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."

Beyond Measure

Author : Jay Kappraff
ISBN : 9810247028
Genre : Mathematics
File Size : 66. 97 MB
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This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.

Total Mean Curvature And Submanifolds Of Finite Type

Author : Bang-yen Chen
ISBN : 9971966034
Genre : Mathematics
File Size : 60. 53 MB
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The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, total mean curvature and submanifolds of finite type. The theory of total mean curvature is the study of the integral of the n-th power of the mean curvature of a compact n-dimensional submanifold in a Euclidean m-space and its applications to other branches of mathematics. The relation of total mean curvature to analysis, geometry and topology are discussed in detail. Motivated from these studies, the author introduces and studies submanifolds of finite type in the last chapter. Some applications of such submanifolds are also given. This book is self-contained. The author hopes that the reader will be encouraged to pursue his studies beyond the confines of the present book.

Lecture Notes On Topoi And Quasitopoi

Author : Oswald Wyler
ISBN : 9810201532
Genre : Mathematics
File Size : 49. 73 MB
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Quasitopoi generalize topoi, a concept of major importance in the theory of Categoreis, and its applications to Logic and Computer Science. In recent years, quasitopoi have become increasingly important in the diverse areas of Mathematics such as General Topology and Fuzzy Set Theory. These Lecture Notes are the first comprehensive introduction to quasitopoi, and they can serve as a first introduction to topoi as well.

Lectures On Chern Weil Theory And Witten Deformations

Author : Weiping Zhang
ISBN : 9789810246853
Genre : Mathematics
File Size : 68. 27 MB
Format : PDF
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Drawn from the acclaimed New Princeton Encyclopedia of Poetry and Poetics, the articles in this concise new reference book provide a complete survey of the poetic history and practice in every major national literature or cultural tradition in the world. As with the parent volume, which has sold over 10,000 copies since it was first published in 1993, the intended audience is general readers, journalists, students, teachers, and researchers. The editor's principle of selection was balance, and his goal was to embrace in a structured and reasoned way the diversity of poetry as it is known across the globe today. In compiling material on 106 cultures in 92 national literatures, the book gives full coverage to Indo-European poetries (all the major Celtic, Slavic, Germanic, and Romance languages, as well as other obscure ones such as Hittite), the ancient middle Eastern poetries (Hebrew, Persian, Sumerian, and Assyro-Babylonian), subcontinental Indian poetries (the widest linguistic diversity), Asian and Pacific poetries (Chinese, Japanese, Korean, Vietnamese, Mongolian, and half a dozen others), continental American poetries (all the modern Western cultures and native Indian in North, Central, and South American regions), and African poetries (ancient and emergent, oral and written).

Functional Analysis Approximation Theory And Numerical Analysis

Author : John Michael Rassias
ISBN : 9810207379
Genre : Mathematics
File Size : 62. 43 MB
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This book consists of papers written by outstanding mathematicians. It deals with both theoretical and applied aspects of the mathematical contributions of BANACH, ULAM, and OSTROWSKI, which broaden the horizons of Functional Analysis, Approximation Theory, and Numerical Analysis in accordance with contemporary mathematical standards.

Decision Making For Dummies

Author : Dawna Jones
ISBN : 9781118847534
Genre : Business & Economics
File Size : 46. 53 MB
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Discover the best approaches for making business decisions Today's business leaders have to face the facts—you can't separate leadership from decision making. The importance of making decisions, no matter how big or small, cannot be overstated. Decision Making For Dummies is a candid resource that helps leaders understand the impact of their choices, not only on business, but also on their credibility and reputation. Designed for managers, business owners, and anyone else who makes tough decisions on a daily basis, this guide helps you figure out if the decisions you're making are the right ones. In addition to helping you explore how to evaluate your choices, Decision Making For Dummies covers ways to receive support for decision making, delves into various decision-making styles, reviews the importance of sifting through data and information, and includes information on ways to engage others and make decisions collectively. Being in charge can be challenging, but with this guide, you don't have to go it alone. Discusses the effects of decision making and outlines the considerations that must be made to gain trust and confidence Demonstrates ways to communicate particularly sensitive decisions, and offers approaches for making bold decisions that challenge the status quo Delves into the risks and benefits of certain decisions, and shows readers the best ways to evaluate choices Outlines smart strategies for engaging others and drawing them into the decision-making process Crucial decisions need to be made every day in the business world, so there's no time to waste. Make Decision Making For Dummies your primary resource for learning to choose your actions wisely and confidently.

The Mystery Of Knots

Author : Charilaos N. Aneziris
ISBN : 9810238789
Genre : Mathematics
File Size : 60. 2 MB
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One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce the reader to the use of computer programming to obtain the table of knots. The author presents this problem as clearly and methodically as possible, starting from the very basics. Mathematical ideas and concepts are extensively discussed, and no advanced background is required.

Quality Control

Author : Carol Krismann
ISBN : UOM:49015001172320
Genre : Business & Economics
File Size : 79. 7 MB
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