Growing Patterns


Book Description

ALSC Notable Children's Book A wonderful introduction to one of the most beautiful connections between mathematics and the natural world–the Fibonacci sequence–through a series of stunning nature photographs. Discover the biggest mathematical mystery in nature—Fibonacci numbers! Named after a famous mathematician, the number pattern is simple and starts with: 1, 1, 2, 3, 5, 8, 13. Each number in the sequence comes from adding the two numbers before it. What's the mystery? The pattern crops up in the most unexpected places. You'll find it in the disk of a sunflower, the skin of a pineapple, and the spiral of a nautilus shell. This book brings math alive, celebrates science, and will inspire kids to see nature through new eyes.




Fibonacci and Lucas Numbers with Applications, Volume 1


Book Description

Praise for the First Edition “ ...beautiful and well worth the reading ... with many exercises and a good bibliography, this book will fascinate both students and teachers.” Mathematics Teacher Fibonacci and Lucas Numbers with Applications, Volume I, Second Edition provides a user-friendly and historical approach to the many fascinating properties of Fibonacci and Lucas numbers, which have intrigued amateurs and professionals for centuries. Offering an in-depth study of the topic, this book includes exciting applications that provide many opportunities to explore and experiment. In addition, the book includes a historical survey of the development of Fibonacci and Lucas numbers, with biographical sketches of important figures in the field. Each chapter features a wealth of examples, as well as numeric and theoretical exercises that avoid using extensive and time-consuming proofs of theorems. The Second Edition offers new opportunities to illustrate and expand on various problem-solving skills and techniques. In addition, the book features: • A clear, comprehensive introduction to one of the most fascinating topics in mathematics, including links to graph theory, matrices, geometry, the stock market, and the Golden Ratio • Abundant examples, exercises, and properties throughout, with a wide range of difficulty and sophistication • Numeric puzzles based on Fibonacci numbers, as well as popular geometric paradoxes, and a glossary of symbols and fundamental properties from the theory of numbers • A wide range of applications in many disciplines, including architecture, biology, chemistry, electrical engineering, physics, physiology, and neurophysiology The Second Edition is appropriate for upper-undergraduate and graduate-level courses on the history of mathematics, combinatorics, and number theory. The book is also a valuable resource for undergraduate research courses, independent study projects, and senior/graduate theses, as well as a useful resource for computer scientists, physicists, biologists, and electrical engineers. Thomas Koshy, PhD, is Professor Emeritus of Mathematics at Framingham State University in Massachusetts and author of several books and numerous articles on mathematics. His work has been recognized by the Association of American Publishers, and he has received many awards, including the Distinguished Faculty of the Year. Dr. Koshy received his PhD in Algebraic Coding Theory from Boston University. “Anyone who loves mathematical puzzles, number theory, and Fibonacci numbers will treasure this book. Dr. Koshy has compiled Fibonacci lore from diverse sources into one understandable and intriguing volume, [interweaving] a historical flavor into an array of applications.” Marjorie Bicknell-Johnson




Numbers in Nature


Book Description

Designed for ages grades K-5 and to be done at home or with small groups, this interactive multi-activity mini-course introduces children to the Fibonacci sequence and how math and art can intersect with science and nature. It takes one of the most fascinating mathematical topics, the Fibonacci sequence, and the related Golden Ratio, and shows children how math can be used to see patterns in all kinds of natural settings, such as leaf arrangement, snail shells, and hurricanes. The mini-course includes a richly illustrated story-based lesson, as well as games, activities, and projects that appeal to all types of learners. An illustrated story about Fibonacci and his imaginary bean stalk introduces children to the mathematical concepts of sequences and sets, as well as an illustration of Fibonacci's famous pattern. By creating their own Fibonacci Flower Books, children then begin to investigate some of the places the famous sequence is found in nature. Children are then encouraged to visualize the relationship between numbers and shapes as they learn how to create their own Golden Spirals from the Fibonacci sequence. What elements of nature can they see in their spirals? Next, in the Purely Numbers Game, children reinforce and expand their understanding of these mathematical concepts by making their own mathematical sets. Finally, children will have fun testing how well they know the Fibonacci sequence by playing the movement-based Walk for Fibonacci. Most materials needed to complete the mini-course can be cut from the book. The mini-course requires only a few additional common household items to complete the activities: Colored pencils, eraser, pencil, scissors, mathematical compass (optional), two dice, blank paper, tape or glue. Upon completing the mini-course, children will be provided with links to additional online resources and will earn new concept badges for their Science Tool Kit (included in the mini-course)- - including Sequence, Pattern, Phyllotaxis, Opposite Phyllotaxis, and Sum.




Blockhead


Book Description

A biography of Leonardo Fibonacci, the 12th century mathematician who discovered the numerical sequence named for him.




Fibonacci’s Liber Abaci


Book Description

First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.




The Extreme Searcher's Internet Handbook


Book Description

A guide to effectively searching the Internet covers such topics as search engines, directories, newsgroups, image resources, and reference resources.




The Flower of Life: Unveiling the Sacred Geometry of Existence


Book Description

The Flower of Life, a symbol of profound significance, has captivated humanity across cultures and epochs with its intricate geometric beauty and spiritual depth. In The Flower of Life: A Journey Through Sacred Geometry, we delve into this ancient symbol, exploring its origins, evolution, and impact on both historical and modern contexts. This comprehensive exploration reveals how the Flower of Life encapsulates universal truths and connects diverse fields of knowledge. Unveiling the Symbol The journey begins with an introduction to the Flower of Life, setting the stage for understanding its enigmatic nature. The symbol's historical roots are traced through ancient civilizations, uncovering its presence in Egyptian temples, Greek philosophy, and Eastern traditions. The Renaissance period marks a significant rediscovery of sacred geometry, bringing the Flower of Life into contemporary consciousness. Exploring Symbolism and Geometry We delve into the deep symbolism of the Flower of Life, examining its role as a representation of harmony and interconnectedness. The book offers a detailed geometric breakdown of the Flower of Life, exploring its mathematical foundations and its relationship with other sacred geometric forms like the Vesica Piscis, Seed of Life, and Fruit of Life. Each pattern is discussed in terms of its formation, significance, and connection to broader geometric principles. Sacred Geometry in Various Contexts The exploration extends to the Flower of Life's influence across different domains. We examine its presence in Islamic art and architecture, Gothic cathedrals, and modern art and design. The symbol's role in contemporary architecture and environmental design reflects its ongoing relevance in creating harmonious and balanced spaces. Scientific and Spiritual Dimensions The book bridges the gap between sacred geometry and science, exploring connections between the Flower of Life and fields such as quantum physics, cosmic patterns, and biological structures like DNA. We also delve into its applications in personal growth, healing practices, and meditation, highlighting how the Flower of Life can facilitate transformation and well-being. Future Directions and Community Impact As we look to the future, the book discusses emerging research and technological innovations inspired by sacred geometry. The global community of Flower of Life practitioners is explored, revealing how this symbol fosters connection and collaboration across cultures and disciplines. Conclusion: An Eternal Symbol The Flower of Life: A Journey Through Sacred Geometry concludes by reaffirming the symbol's enduring significance. Its geometric patterns and spiritual meanings continue to inspire and illuminate our understanding of the universe, offering timeless insights into the interconnected nature of existence. This book invites readers to explore the profound dimensions of the Flower of Life and its universal significance, encouraging a deeper appreciation of sacred geometry's role in our lives and the cosmos.




The Ancient Secret of the Flower of Life, Volume 2


Book Description

The sacred Flower of Life pattern, the primary geometric generator of all physical form, is explored in even more depth in this volume, the second half of the famed Flower of Life workshop. The proportions of the human body, the nuances of human consciousness, the sizes and distances of the stars, planets and moons, even the creations of humankind, are all shown to reflect their origins in this beautiful and divine image. Through an intricate and detailed geometrical mapping, Drunvalo Melchizedek shows how the seemingly simple design of the Flower of Life contains the genesis of our entire third-dimensional existence. From the pyramids and mysteries of Egypt to the new race of Indigo children, Drunvalo presents the sacred geometries of the Reality and the subtle energies that shape our world. We are led through a divinely inspired labyrinth of science and stories, logic and coincidence, on a path of remembering where we come from and the wonder and magic of who we are. Finally, for the first time in print, Drunvalo shares the instructions for the Mer-Ka-Ba meditation, step-by-step techniques for the re-creation of the energy field of the evolved human, which is the key to ascension and the next dimensional world.if done from love, this ancient process of breathing prana opens up for us a world of tantalizing possibility in this dimension, from protective powers to the healing of oneself, of others and even of the planet. Embrace the expanded vision and understanding that Drunvalo offers to the world. Coincidences abound, miracles flourish and the amazing stories of mysteries unveiled arise as the author probes the Ancient Secrets of the Flower of Life.




Diversity and Evolutionary Biology of Tropical Flowers


Book Description

A unique account of the structure, biology and evolution of tropical flowering plants.




Stitch, Fabric & Thread


Book Description

A beautiful sewing reference guide full of exercises designed to inspire great ideas and motivate readers of all skill levels to create. This inventive book is a treasure trove of over 40 inspiring practical exercises, a rich and creative exploration of fabric and stitch, and a fascinating all-round read. Elizabeth Healey’s approach to sewing is that it should be fun, and not like a chore or an exam we need to excel in. Her aim is to simply encourage you to pick up a needle and thread and get sewing! The exercises draw inspiration from around the world: create corded works of art inspired by Milton Glaser’s iconic Bob Dylan poster; craft bold embroidered African masks; layer up and cut away to make Mola applique; use bleach and fabric paint to create Aboriginal dreamtime lizards; create knotted works of art inspired by ancient Mayan counting systems; embroider varsity cross-stitch letters; or try out decorative Japanese book binding. Alternatively, try a host of other techniques such as quilting, printing, dyeing, couching tumbled crockery, creating pleats and puckers, and needle lace. Packed with stitch galleries and bursting with slow sewing ideas, the book also contains “behind the stitches” features: illuminating insights into sewing movements such as Boro textiles, Gee’s Bend quilting, and Dorset buttons.