Geometry: Euclid and Beyond

Geometry: Euclid and Beyond PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 0387226761
Category : Mathematics
Languages : en
Pages : 535

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Book Description
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Beyond the Bermuda Triangle

Beyond the Bermuda Triangle PDF Author: Bruce Gernon
Publisher: Red Wheel/Weiser
ISBN: 1632659034
Category : Body, Mind & Spirit
Languages : en
Pages : 224

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Book Description
I didn’t believe in time travel or teleportation until it happened to me. I’m Bruce Gernon, and I flew through the heart of the Bermuda Triangle before I’d even heard the term. Skeptics have dismissed the Triangle as a nonmystery, but they weren’t in my airplane when the fog surrounded my craft and I leaped ahead 100 miles. I documented what happened and memorized every detail of that flight. Now I’m ready to explain that there is no Bermuda Triangle! Instead, there is a continuing mystery that has resulted in thousands of disappearances of crafts and loss of life over decades and centuries: a phenomenon I call electronic fog. In Beyond the Bermuda Triangle, Rob MacGregor and I present multiple cases of pilots and others who have experienced electronic fog in the air, in the water, and on land. We also examine UFO and USO cases and their possible relationship with space/time warps. Among the fascinating topics we explore: Time travel and teleportation. Lost crafts, including Flight 19. The Dragon’s Triangle. The Underwater Area 51. The man who is building a warp drive. A remote viewer who takes on the Triangle.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 0387226761
Category : Mathematics
Languages : en
Pages : 535

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Book Description
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Mathematics Problem-solving Challenges For Secondary School Students And Beyond

Mathematics Problem-solving Challenges For Secondary School Students And Beyond PDF Author: Alan Sultan
Publisher: World Scientific
ISBN: 981473005X
Category : Mathematics
Languages : en
Pages : 196

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Book Description
This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.

Proceedings of the United States National Museum

Proceedings of the United States National Museum PDF Author: United States National Museum
Publisher:
ISBN:
Category : Anthropology
Languages : en
Pages : 1224

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Book Description


Beyond the Zone System

Beyond the Zone System PDF Author: Phil Davis
Publisher: CRC Press
ISBN: 1136092935
Category : Photography
Languages : en
Pages : 255

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Book Description
This fourth edition of Beyond the Zone System makes the science of photographic sensitometry both accessible and useful to interested photographers. It will appeal to any serious photographer interested in knowing how the materials and processes of black-and-white photography work. Instead of describing rote procedures to be followed blindly, this book provides the basis for understanding what needs to be done and why. This book relates theory to practice in a way that promotes a true partnership of science and art. Beyond the Zone System bridges the gap between the more theoretical aspects of the photographic process and the popular empirical procedures used by many photographers in the attempt to predict and control the quality of their photographs in practice. This book is intended primarily for photographers who use large-format cameras and black-and-white sheet film, but the basic information about how the B&W photographic materials and processes work will be useful to users of any B&W film format. Beyond the Zone System, 4th ed. will appeal to any serious photographer interested in knowing how the materials and processes of black-and-white photography work. Instead of describing rote procedures to be followed blindly, this book provides the basis for understanding what needs to be done and why. This book relates theory to practice in a way that promotes a true partnership of science and art.

Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond

Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond PDF Author: Gregory Cherlin
Publisher: Cambridge University Press
ISBN: 1009229486
Category : Mathematics
Languages : en
Pages : 289

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Book Description
The second of two volumes presenting the state of the art in the classification of homogeneous structures and related problems in the intersection of model theory and combinatorics. It extends the results of the first volume to generalizations of graphs and tournaments with additional binary relations. An appendix explores open problems.

B Physics: Physics Beyond The Standard Model At The B Factory - Proceedings Of The 1994 International Workshop

B Physics: Physics Beyond The Standard Model At The B Factory - Proceedings Of The 1994 International Workshop PDF Author: S Suzuki
Publisher: World Scientific
ISBN: 9814549398
Category :
Languages : en
Pages : 494

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Book Description
This volume reviews the recent progress of B physics, and discusses theoretical and experimental aspects of the physics which will be explored at the B factory. CP violation and new physics beyond the Standard Model are the main issues of the discussion.

Beyond Quasicrystals

Beyond Quasicrystals PDF Author: Francoise Axel
Publisher: Springer Science & Business Media
ISBN: 3662031302
Category : Science
Languages : en
Pages : 624

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Book Description
This book is the collection of most of the written versions of the Courses given at the Winter School "Beyond Quasicrystals" in Les Houches (March 7-18, 1994). The School gathered lecturers and participants from all over the world and was prepared in the spirit of a general effort to promote theoretical and experimental interdisciplinary communication between mathematicians, theoretical and experimental physicists on the topic of the nature of geometric order in solids beyond standard periodicity and quasi periodicity. The overall structure of the book reflects the wish of the editors to pose this fundamental question of geometric order in solids from both the experimental and theoretical point of view. The first part is devoted more specifically to quasicrystals. These materials were the common starting point of most of the audience and present a first concrete example of a non-trivial geometric order. We chose to focus on a few fundamental aspects of quasicrystals related to hidden symmetries in solids which are not easily found in standard textbooks on the topic, not to reach an exhaustive survey which is already available elsewhere.

The Heart Sutra and Beyond

The Heart Sutra and Beyond PDF Author: Kwan-Yuk Claire Sit
Publisher: SteinerBooks
ISBN: 1584201746
Category : Body, Mind & Spirit
Languages : en
Pages : 129

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Book Description
The Heart Sutra and Beyond includes The Heart Sutra in Chinese by Xuánzàng and a refreshing translation into English by Dr. Kwan-yuk Claire Sit. The main theme and purpose of the book is to show how one may practice the perfection of wisdom. Dr. Sit analyzes The Heart Sutra with metaphors, stories, illustrations, Buddhist scriptures, relevant Taoist texts, and anthroposophic teachings. She delves into Anthroposophy to explore the mystical connection between form and emptiness; between Buddhism and esoteric Christianity; between Buddha Gautama and the young Jesus; and between the future Buddha Maitreya and Jesus Christ. She applies her deep understanding of the two Chinese names for Avalokitesvara (Guan-zì-zài) and Sariputra (Shè-lì-zi) to reveal the essence of the sutra. Finally, she notes that anyone can gain great blessing by meditating on a short mantra presented in the sutra. Her commentary on this timeless text brings profound insights to those who are new to The Heart Sutra, as well as to those who may have studied and practiced Buddhism for many years.

Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond

Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond PDF Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811273960
Category : Mathematics
Languages : en
Pages : 338

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Book Description
Mathematics is a subject taught from kindergarten through to high school, and yet it is the one subject that most adults are almost proud to admit to not having been very good at, and, therefore, tend to avoid it where they can. However, one of the key factors in mathematics is its ability to enable us to solve everyday problems. When we consider 'the worst-case scenario' of the situation, it is analogous to solving a mathematical problem by considering extremes. Or, we might consider the best path to take from point A to point B, where geometric relationships can be helpful. This book is intended to demonstrate a variety of neglected aspects of mathematics, in order to demonstrate the power and beauty of the field of mathematics beyond where most people, students, and teachers believe is possible.The chapters of the book explore a multitude of topics: unusual arithmetic calculations and shortcuts, entertaining and instructional problem-solving strategies, unusual applications of algebra, and how geometry allows us to better appreciate physical relationships. Only a basic mathematical knowledge is needed to understand these topics and problems; however, the book also demonstrates that, armed with even this level of understanding, our mathematical skills far exceed what we learned at school! The final chapter is the most challenging, and explores a curious problem-solving technique.