Geometrical Eyes An Explorative Journey Into Euclidean Dimensions

DOWNLOAD

Download Geometrical Eyes An Explorative Journey Into Euclidean Dimensions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Geometrical Eyes An Explorative Journey Into Euclidean Dimensions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Geometrical Eyes An Explorative Journey Into Euclidean Dimensions

DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-17

Geometrical Eyes An Explorative Journey Into Euclidean Dimensions written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-17 with Mathematics categories.

"Geometrical Eyes: An Explorative Journey into Euclidean Dimensions" invites readers to embark on an intellectual odyssey through the captivating world of Euclidean geometry. This comprehensive guide unveils the fundamental concepts, properties, and relationships that govern shapes, angles, and spatial dimensions. Delve into the intricacies of triangles, quadrilaterals, and circles, exploring their unique characteristics and interconnections. Discover the elegance of coordinate geometry, where numbers and shapes harmoniously intersect, revealing deeper insights into geometric patterns. Unravel the enigmatic world of vectors, grasping the concepts of direction and magnitude as you explore their diverse applications in physics and engineering. Prepare to navigate the enigmatic realm of 3-dimensional geometry, where solids and their intricate structures take center stage. Encounter the captivating world of non-Euclidean geometries, venturing beyond the boundaries of Euclidean axioms to discover the mind-bending concepts of hyperbolic and elliptic geometries. Throughout this geometric odyssey, readers will encounter thought-provoking questions and engaging exercises that challenge their understanding and deepen their appreciation for the beauty and power of Euclidean geometry. "Geometrical Eyes" is not merely a textbook; it's an invitation to embark on an intellectual adventure, unlocking the secrets of a universe governed by angles, lines, and shapes. Written with clarity and precision, this book caters to a wide range of readers, from high school students seeking a deeper understanding of Euclidean geometry to university students pursuing advanced studies in mathematics and related fields. Educators, researchers, and anyone with a passion for geometry will find this book an invaluable resource, offering fresh perspectives and insights into the fascinating world of geometric dimensions. If you like this book, write a review!

Shape

DOWNLOAD
Author : Jordan Ellenberg
language : en
Publisher: Penguin
Release Date : 2021-05-25

Shape written by Jordan Ellenberg and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Mathematics categories.

An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

A Fuller Explanation

DOWNLOAD
Author : Amy C. Edmondson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A Fuller Explanation written by Amy C. Edmondson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In a broad sense Design Science is the grammar of a language of images rather than of words. Modern communication techniques enable us to transmit and reconstitute images without the need of knowing a specific verbal sequential language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multidimensional. Architectural renderings commonly show projections onto three mutually perpendicular planes, or consist of cross sections at differ ent altitudes representing a stack of floor plans. Such renderings make it difficult to imagine buildings containing ramps and other features which disguise the separation between floors; consequently, they limit the creativity of the architect. Analogously, we tend to analyze natural structures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures.

Exploring Geometry

DOWNLOAD
Author : Michael Hvidsten
language : en
Publisher: CRC Press
Release Date : 2023-01-09

Exploring Geometry written by Michael Hvidsten and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-09 with categories.

Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author

Lenses And Waves

DOWNLOAD
Author : Fokko Jan Dijksterhuis
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20

Lenses And Waves written by Fokko Jan Dijksterhuis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Science categories.

In 1690, Christiaan Huygens (1629-1695) published Traité de la Lumière, containing his renowned wave theory of light. It is considered a landmark in seventeenth-century science, for the way Huygens mathematized the corpuscular nature of light and his probabilistic conception of natural knowledge. This book discusses the development of Huygens' wave theory, reconstructing the winding road that eventually led to Traité de la Lumière. For the first time, the full range of manuscript sources is taken into account. In addition, the development of Huygens' thinking on the nature of light is put in the context of his optics as a whole, which was dominated by his lifelong pursuit of theoretical and practical dioptrics. In so doing, this book offers the first account of the development of Huygens' mathematical analysis of lenses and telescopes and its significance for the origin of the wave theory of light. As Huygens applied his mathematical proficiency to practical issues pertaining to telescopes – including trying to design a perfect telescope by means of mathematical theory – his dioptrics is significant for our understanding of seventeenth-century relations between theory and practice. With this full account of Huygens' optics, this book sheds new light on the history of seventeenth-century optics and the rise of the new mathematical sciences, as well as Huygens' oeuvre as a whole. Students of the history of optics, of early mathematical physics, and the Scientific Revolution, will find this book enlightening.

Reinforcement Learning

DOWNLOAD
Author : Richard S. Sutton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Reinforcement Learning written by Richard S. Sutton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.

Reinforcement learning is the learning of a mapping from situations to actions so as to maximize a scalar reward or reinforcement signal. The learner is not told which action to take, as in most forms of machine learning, but instead must discover which actions yield the highest reward by trying them. In the most interesting and challenging cases, actions may affect not only the immediate reward, but also the next situation, and through that all subsequent rewards. These two characteristics -- trial-and-error search and delayed reward -- are the most important distinguishing features of reinforcement learning. Reinforcement learning is both a new and a very old topic in AI. The term appears to have been coined by Minsk (1961), and independently in control theory by Walz and Fu (1965). The earliest machine learning research now viewed as directly relevant was Samuel's (1959) checker player, which used temporal-difference learning to manage delayed reward much as it is used today. Of course learning and reinforcement have been studied in psychology for almost a century, and that work has had a very strong impact on the AI/engineering work. One could in fact consider all of reinforcement learning to be simply the reverse engineering of certain psychological learning processes (e.g. operant conditioning and secondary reinforcement). Reinforcement Learning is an edited volume of original research, comprising seven invited contributions by leading researchers.

Feedback Systems

DOWNLOAD
Author : Karl Johan Åström
language : en
Publisher: Princeton University Press
Release Date : 2021-02-02

Feedback Systems written by Karl Johan Åström and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-02 with Technology & Engineering categories.

The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

Mindstorms

DOWNLOAD
Author : Seymour A Papert
language : en
Publisher: Hachette UK
Release Date : 2020-10-06

Mindstorms written by Seymour A Papert and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Education categories.

In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible.

For Space

DOWNLOAD
Author : Doreen Massey
language : en
Publisher: SAGE
Release Date : 2005-02-18

For Space written by Doreen Massey and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-18 with Science categories.

Questioning the implicit assumptions that we make about space, this text considers conventional notions of social science, as well as demonstrating how a vigorous understanding of space can impact on political consequences.

Concise Computer Vision

DOWNLOAD
Author : Reinhard Klette
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-04

Concise Computer Vision written by Reinhard Klette and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-04 with Computers categories.

This textbook provides an accessible general introduction to the essential topics in computer vision. Classroom-tested programming exercises and review questions are also supplied at the end of each chapter. Features: provides an introduction to the basic notation and mathematical concepts for describing an image and the key concepts for mapping an image into an image; explains the topologic and geometric basics for analysing image regions and distributions of image values and discusses identifying patterns in an image; introduces optic flow for representing dense motion and various topics in sparse motion analysis; describes special approaches for image binarization and segmentation of still images or video frames; examines the basic components of a computer vision system; reviews different techniques for vision-based 3D shape reconstruction; includes a discussion of stereo matchers and the phase-congruency model for image features; presents an introduction into classification and learning.