This title includes just the critical concepts you need to score high in geometry. This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. "Geometry Essentials For Dummies" is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams. This title helps: get down to the basics - get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals; conquer proofs with confidence - follow easy-to-grasp instructions for understanding the components of a formal geometry proof; take triangles in strides - learn how to take in a triangle's sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem; polish up on polygons - get the lowdown on quadrilaterals and other polygons - their angles, areas, properties, perimeters, and much more. Open the book and find: Plain-English explanations of geometry terms; Tips for tackling geometry proofs; The seven members of the quadrilateral family; Straight talk on circles; Essential triangle formulas; The lowdown on 3-D - spheres, cylinders, prisms, and pyramids; and, Ten things to use as reasons in geometry proofs. It helps you learn to: core concepts about the geometry of shapes and geometry proofs; and, critical theorems, postulates, and definitions. It includes the principles and formulas you need to know.
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Can we imagine a world without flowers? Flowers are beautiful, offering us delight in their colour, fragrance and form, as well as their medicinal benefits. Flowers also speak to us in the language of the plant form itself, as cultural symbols in different societies, and at the highest levels of inspiration. In this beautiful and original book, renowned thinker and geometrist Keith Critchlow has chosen to focus on an aspect of flowers that has received perhaps the least attention. This is the flower as teacher of symmetry and geometry (the 'eternal verities', as Plato called them). In this sense, he says, flowers can be treated as sources of remembering -- a way of recalling our own wholeness, as well as awakening our inner power of recognition and consciousness. What is evident in the geometry of the face of a flower can remind us of the geometry that underlies all existence. Working from his own flower photographs and with every geometric pattern hand-drawn, the author reviews the role of flowers within the perspective of our relationship with the natural world. His illuminating study is an attempt to re-engage the human spirit in its intimate relation with all nature.
- RRP £30.00
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Encompassing nature, science, art, architecture, and spirituality, and illustrated with over 700 photographs and line drawings, "The Hidden Geometry of Life" illuminates the secret underpinnings of existence. In her trademark easy-to-understand style, mathematician Karen French shows how sacred geometry permeates every level of being, manifesting itself in simple shapes and numbers, music and sounds, light and colour, even in the mysteries of creation itself. But these geometrical archetypes are more than the building blocks of reality: they are gateways to profound new levels of awareness.
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Following on from his successful Drawing Geometry, Jon Allen explores the creation of the many-sided three-dimensional forms known as the Platonic and Archimedean solids. Based on patterns of equally spaced points on a sphere, these polyhedra have been the fundamentals of geometric exploration for millennia. Many professionals find they need to be able to build three-dimensional shapes accurately, and understand the principles behind them. This unique book shows them how to make models of all the Platonic and Archimedean solids, as well as several other polyhedra and stellated forms. It provides step-by-step instructions for constructing the three-dimensional forms, as well as showing how to draw out accurately the geometry of the paperfold nets. Beginners and experienced artists and designers alike will find this book a source of practical guidance, as well as delight and inspiration which will amply repay the careful attention needed to construct the models.
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Geometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.
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Practice makes perfect! Get perfect with a thousand and one practice problems!
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1,001 Geometry Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems that deal with core geometry topics, such as points, lines, angles, and planes, as well as area and volume of shapes. You'll also find practice problems on more advanced topics, such as proofs, theorems, and postulates. The companion website gives you free online access to all 1,001 practice problems and solutions. You can track your progress and ID where you should focus your study time. The online component works in conjunction with the book to help you polish your skills and build confidence.
As the perfect companion to Geometry For Dummies or a stand-alone practice tool for students, this book & website will help you put your geometry skills into practice, encouraging deeper understanding and retention. The companion website includes: * All 1,001 practice problems * Customizable practice sets for self-directed study * Problems ranked as easy, medium, and hard * Free one-year access to the online questions bank
With 1,001 Geometry Practice Problems For Dummies, you'll get the practice you need to master geometry and gain confidence in the classroom.
The thinkers of ancient Egypt, Greece and India recognized that numbers governed much of what they saw in their world and hence provided an approach to its divine creator. Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical experiments, he leads with ease from simple principles to a grasp of the logarithmic spiral, the Golden Proportion, the squaring of the circle and other ubiquitous ratios and proportions. Art and Imagination These large-format, gloriously-illustrated paperbacks cover Eastern and Western religion and philosophy, including myth and magic, alchemy and astrology. The distinguished authors bring a wealth of knowledge, visionary thinking and accessible writing to each intriguing subject.
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Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.
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Olive Whicher's groundbreaking book presents an accessible - non-mathematician's - approach to projective geometry. Profusely illustrated, and written with fire and intuitive genius, this work will be of interest to anyone wishing to cultivate the power of inner visualization in a realm of structural beauty. Whicher explores the concepts of polarity and movement in modern projective geometry as a discipline of thought that transcends the limited and rigid space and forms of Euclid, and the corresponding material forces conceived in classical mechanics. Rudolf Steiner underlined the importance of projective geometry as, 'a method of training the imaginative faculties of thinking, so that they become an instrument of cognition no less conscious and exact than mathematical reasoning'. This seminal approach allows for precise scientific understanding of the concept of creative fields of formative (or etheric) forces at work in nature - in plants, animals and in the human being.
- RRP £25.00
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Student's love Schaum's - and this new guide will show you why! Graph Theory takes you straight to the heart of graphs. As you study along at your own pace, this study guide shows you step by step how to solve the kind of problems you're going to find on your exams. It gives you hundreds of completely worked problems with full solutions. Hundreds of additional problems let you test your skills and then check the answers. So if you want to get a firm handle on graph theory - whether to ace your graph course, to supplement a course that uses graphs, or to build a solid basis for future study - there's no better tool than Schaum's. This guide makes a wonderful supplement to your class text, but it is so comprehensive that it can even be used alone as a complete graph theory independent study course!
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Hit the geometry wall? Get up and running with this no-nonsense guide! Does the thought of geometry make you jittery? You're not alone. Fortunately, this down-to-earth guide helps you approach it from a new angle, making it easier than ever to conquer your fears and score your highest in geometry. From getting started with geometry basics to making friends with lines and angles, you'll be proving triangles congruent, calculating circumference, using formulas, and serving up pi in no time. Geometry is a subject full of mathematical richness and beauty. But it's a subject that bewilders many students because it's so unlike the math they've done before it requires the use of deductive logic in formal proofs. If you're having a hard time wrapping your mind around what that even means, you've come to the right place! Inside, you'll find out how a proof's chain of logic works and even discover some secrets for getting past rough spots along the way. You don't have to be a math genius to grasp geometry, and this book helps you get un-stumped in a hurry! * Find out how to decode complex geometry proofs * Learn to reason deductively and inductively * Make sense of angles, arcs, area, and more * Improve your chances of scoring higher in your geometry class There's no reason to let your nerves get jangled over geometry your understanding will take new shape with the help of Geometry For Dummies.
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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
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Geometry Snacks is a mathematical puzzle book filled with geometrical figures and questions designed to challenge, confuse and ultimately enlighten enthusiasts of all ages. Each puzzle is carefully designed to draw out interesting phenomena and relationships between the areas and dimensions of various shapes. Furthermore, unlike most puzzle books, the authors offer multiple approaches to solutions so that once a puzzle is solved, there are further surprises, insights and challenges to be had. As a teaching tool, Geometry Snacks enables teachers to promote deep thinking and debate over how to solve geometry puzzles. Each figure is simple, but often deceptively tricky to solve - allowing for great classroom discussions about ways in which to approach them. By offering numerous solution approaches, the book also acts as a tool to help encourage creativity and develop a variety of strategies to chip away at problems that often seem to have no obvious way in. Contents: 1. What fraction is shaded? 2. Find the missing angle 3. What is the area? 4. Prove it 5. Sangaku Ed Southall is a teacher trainer at Huddersfield University in the UK, and the author of "Yes But Why? Teaching for Understanding in Mathematics". Ed has taught mathematics for 14 years in secondary schools both in the UK and the Middle East. He has developed a large following online as @solvemymaths on twitter where he regularly posts mathematical puzzles. Vincent Pantaloni is a French mathematics high school teacher since 2000. He teaches in Orleans in French but also in English to the European and International Sections. With these students he has developed a teaching based on cooperative problem solving. He believes that searching and sharing strategies for complex problems in teamwork helps students in building a stronger mathematical knowledge. He is also a teacher trainer specialised in the use of new technologies and flipped classroom and a member of different research groups. He posts about mathematics on twitter @panlepan and in French on his website Mathzani.
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From the earliest times, learning how to construct simple and complex geometric shapes has been part of the training of a silversmith. Moreover, the educated patron of 300 years ago was also likely to be well versed in geometry and able to appreciate the subtleties of design of a seemingly simple cream jug or sugar bowl. Many functional objects in what became known as the 'Queen Anne' style rely for effect on polygons, multifoils, ellipses, and truncated pyramids and cones. Curiously, however, books on the history of European silver have been silent on the subject of geometry and the process by which design is transmitted via the workbench to a finished silver object has scarcely been explored. In his introductory essay, Christopher Hartop suggests that many of the geometric forms that became popular in the early eighteenth century were in fact modelled on imported Asian ceramics and lacquer, some of which in turn were copying much earlier Chinese metal wares. Yet a silversmith still needed a knowledge of geometrical constructions, whether he was copying an imported object, following a design on paper, or utilizing a template. Using the Domcha Collection of predominantly English seventeenth- to nineteenth-century silver as examples, this important new study examines the role of geometry in the design and manufacture of silverware. The coffee pot illustrated on the front cover is a truncated octagonal pyramid and the octofoil salver achieves its pleasing effect through the intersection of four ellipses with common centre. The Domcha Collection, formed during the last 25 years, shows the timeless beauty of plain silver forms, where the emphasis is on line rather than ornament. The collection includes works by such important masters as Paul de Lamerie, Paul Crespin, Frederick Kandler, and the Hennell family. Silver made in Ireland and Scotland is also featured, as is provincial English silver made in York, Sheffield and Newcastle.
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A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles...mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology. From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic trigonometry concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers. Tracks to a typical Trigonometry course at the high school or college level Packed with example trig problems From the author of Trigonometry Workbook For Dummies Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.
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Sutton guides the reader through the once treasured principles of ruler and compass constructions, used for centuries by architects, carpenters, stonemasons and master craftsmen. Instruction is given on how to draw heptograms, heptakaidecagons, circles inside triangles and many more artistic geometric shapes.
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Through "Euclid's Window", Leonard Mlondinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. This new, refreshing, alternative history of maths reveals how simple questions anyone might ask about space in the living room or in some other galaxy have been the hidden engine of science's highest achievements.
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This new book from the author of 'The Music of the Primes' combines a personal insight into the mind of a working mathematician with the story of one of the biggest adventures in mathematics: the search for symmetry. This is the story of how humankind has come to its understanding of the bizarre world of symmetry -- a subject of fundamental significance to the way we interpret the world around us. Our eyes and minds are drawn to symmetrical objects, from the sphere to the swastika, the pyramid to the pentagon. Symmetry indicates a dynamic relationship or connection between objects, and it is all-pervasive: in chemistry and physics the concept of symmetry explains the structure of crystals or the theory of fundamental particles; in evolutionary biology, the natural world exploits symmetry in the fight for survival; symmetry and the breaking of symmetry are central to ideas in art, architecture and music; the mathematics of symmetry is even exploited in industry, for example to find efficient ways to store more music on a CD or to keep your mobile phone conversation from cracking up through interference. Marcus du Sautoy constantly strives to push his own boundaries to find ways in which to share the excitement of mathematics with a broader audience; this book charts his own personal quest to master one of the most innate and intangible concepts, and to demonstrate the intricacy and beauty of the world around us.
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Across the Islamic world, illuminating Korans from Morocco to Malaysia, and adorning mosques, mausoleums and palaces, are hidden some of the most exquisite geometrical devices ever conceived by man. In this excellent little book, geometer Daud Sutton unravels the mystery of Islamic patterns, explaining where they come from, how to draw them, and hinting at the Divine messages they encode. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
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If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
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In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions. Since then Flatland has fascinated generations of readers, becoming a perennial science-fiction favorite. By imagining the contact of beings from different dimensions, the author fully exploited the power of the analogy between the limitations of humans and those of his two-dimensional characters. A first-rate fictional guide to the concept of multiple dimensions of space, the book will also appeal to those who are interested in computer graphics. This field, which literally makes higher dimensions seeable, has aroused a new interest in visualization. We can now manipulate objects in four dimensions and observe their three-dimensional slices tumbling on the computer screen. But how do we interpret these images? In his introduction, Thomas Banchoff points out that there is no better way to begin exploring the problem of understanding higher-dimensional slicing phenomena than reading this classic novel of the Victorian era.
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In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory.
These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.