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The Intuitive Geometry method is a basic set of principles for using overlapping circles to create and design anything. The method includes the circle, square, triangle, hexagon, pentagon, spirals, waves, and scaling. The 2nd Edition of the book includes more detailed step by step instructions for the Intuitive Geometry method, ten examples of applying the method with detailed step by step instructions, and forty artworks to showcase the Intuitive Geometry method. The ten examples are: Bees, Butterflies, Flowers (3 fold), Flowers (4 fold), Flowers (5 fold), Human Body, Human Eye, Human Face, Snowflakes, and Spiders. For more information visit www.nathaliestrassburg.com.
Self-realization is the process of unifying our consciousness into a harmonious whole. This guide is based on the sixty-four lessons from the I Ching that we can master to expand our awareness, discover our authentic self, realize our inner truth, and live our unique destiny. When we balance our physical, emotional, spiritual, and mental aspects we become more self-empowered, and can achieve greater self-fulfillment. Following the Preface and Introduction, the book includes an Overview of the spectrum of ourselves, archetypes, roles, skill, spheres of awareness, principles, the learning spectrum, numbers, geometry, feminine and masculine expressions, self-realization, needs, relationships, and transformation. The book is then organized into four aspects: Physical, Emotional, Spiritual, and Mental. Each section contains the numbers, geometry, spheres of awareness, principles, traits, abilities, skills, and the learning spectrum. Each aspect has sixteen lessons. The sixty-four lessons in the learning spectrum are the lessons we can master to be an individual that takes empowered action, capable of empowered responses, based on empowered perspectives, and empowered thinking. They are tools that cultivate inner truth, emotional intelligence, and mental freedom that allow us to embrace whatever happens in life. Each lesson has a theme with an introduction, feminine and masculine expressions, and a spectrum: affirmation, wisdom, compassion, contemplation, investigation, sensation, observation, and visualization. For more information, art, images, designs, books, and other resources visit www.nathaliestrassburg.com
This volume features a collection of papers dedicated to "Canons of Form-Making", in honor of the 500th anniversary of the birth of architect Andrea Palladio (1508-1580). Theorist as well as practitioner, Palladio's architecture was based on well-defined canons that he had gleaned from studying the treatises as well as the remains of architecture from antiquity. Palladio himself left to posterity not only his large corpus of built works, but his Quattro libri d'architettura. Three of the papers in this issue are specifically about Palladio and his work. The other papers deal with canons of form-making, ancient and contemporary.
This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.
Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Discusses the elements of a sign, and looks at pictograms, alphabets, calligraphy, monograms, text type, numerical signs, symbols, and trademarks.
A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.
This book is designed to assist teachers to get the most out of the textbooks or mathematics schemes used in their schools, providing methods of extending the activities offered to learners.
Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.