Trigonometry Geometry And The Conception Of Space

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Trigonometry, Geometry, and the Conception of Space

Author : Paul M. Tokorcheck
Publisher :
ISBN 13 : 9781516553921
Total Pages : 286 pages
Book Rating : 4.5/5 (539 download)

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Book Synopsis Trigonometry, Geometry, and the Conception of Space by : Paul M. Tokorcheck

Download or read book Trigonometry, Geometry, and the Conception of Space written by Paul M. Tokorcheck and published by . This book was released on 2015-08-07 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Trigonometry, Geometry, and the Conception of Space is primarily a textbook for students of architecture, design, or any other subject that requires a strong, practical understanding of measurement. Topics that are traditionally included for future calculus students have been replaced with a study of three-dimensional space and geometry. The first portion of the book focuses on pure trigonometry: sets and numbers, the six trigonometric functions and their inverses, and applications. The second portion covers more geometric topics like cylindrical and spherical coordinate systems, conic sections, and quadric surfaces. The material emphasizes alternative ways to describe points in space and how to transfer between them. Written for highly visual courses exploring three-dimensional space and the objects that lie within it, Trigonometry, Geometry, and the Conception of Space offers fresh, modern instruction for classes in architecture, graphic design, and mathematics. Paul Tokorcheck earned his Ph.D. in mathematics at UC Santa Cruz, with research interests in group representations, number theory, and Lie theory. He is now a lecturer with the Department of Mathematics at Iowa State University. Apart from mathematics, Dr. Tokorcheck's life journey has taken him through a variety of jobs, from cooking in award-winning kitchens of California, to teaching high school in northern Ghana, to resettling refugees from the civil wars in Liberia and Sierra Leone."

Trigonometry, Geometry, and the Conception of Space

Author : Paul Tokorcheck
Publisher : Cognella Academic Publishing
ISBN 13 : 9781634871877
Total Pages : 286 pages
Book Rating : 4.8/5 (718 download)

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Book Synopsis Trigonometry, Geometry, and the Conception of Space by : Paul Tokorcheck

Download or read book Trigonometry, Geometry, and the Conception of Space written by Paul Tokorcheck and published by Cognella Academic Publishing. This book was released on 2014-12-31 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Trigonometry, Geometry, and the Conception of Space" is primarily a textbook for students of architecture, design, or any other subject that requires a strong, practical understanding of measurement. Topics that are traditionally included for future calculus students have been replaced with a study of three-dimensional space and geometry. The first portion of the book focuses on pure trigonometry: sets and numbers, the six trigonometric functions and their inverses, and applications. The second portion covers more geometric topics like cylindrical and spherical coordinate systems, conic sections, and quadric surfaces. The material emphasizes alternative ways to describe points in space and how to transfer between them. Written for highly visual courses exploring three-dimensional space and the objects that lie within it, "Trigonometry, Geometry, and the Conception of Space" offers fresh, modern instruction for classes in architecture, graphic design, and mathematics. Paul Tokorcheck earned his Ph.D. in mathematics at UC Santa Cruz, with research interests in group representations, number theory, and Lie theory. He is now a lecturer with the Department of Mathematics at Iowa State University. Apart from mathematics, Dr. Tokorcheck s life journey has taken him through a variety of jobs, from cooking in award-winning kitchens of California, to teaching high school in northern Ghana, to resettling refugees from the civil wars in Liberia and Sierra Leone.""

Mathematics for Earth Science and Geography

Author : Cyril Fleurant
Publisher : Springer
ISBN 13 : 3319692429
Total Pages : 201 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematics for Earth Science and Geography by : Cyril Fleurant

Download or read book Mathematics for Earth Science and Geography written by Cyril Fleurant and published by Springer. This book was released on 2018-09-19 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook presents a unique comprehensive overview on Mathematics in Earth Sciences and Geography. It deals with fundamental theoretical and applied mathematics, needed by bachelor students in a wide range of subjects. The book is illustrated with many examples and over a hundred practical exercises, with solutions included in the book. In addition, this textbook highlights numerical resources by using two free software packages (R and Xcas) and introducing their use.

The Math Book

Author : DK
Publisher : Penguin
ISBN 13 : 1465494200
Total Pages : 711 pages
Book Rating : 4.4/5 (654 download)

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Book Synopsis The Math Book by : DK

Download or read book The Math Book written by DK and published by Penguin. This book was released on 2019-09-03 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: See how math's infinite mysteries and beauty unfold in this captivating educational book! Discover more than 85 of the most important mathematical ideas, theorems, and proofs ever devised with this beautifully illustrated book. Get to know the great minds whose revolutionary discoveries changed our world today. You don't have to be a math genius to follow along with this book! This brilliant book is packed with short, easy-to-grasp explanations, step-by-step diagrams, and witty illustrations that play with our ideas about numbers. What is an imaginary number? Can two parallel lines ever meet? How can math help us predict the future? All will be revealed and explained in this encyclopedia of mathematics. It's as easy as 1-2-3! The Math Book tells the exciting story of how mathematical thought advanced through history. This diverse and inclusive account will have something for everybody, including the math behind world economies and espionage. This book charts the development of math around the world, from ancient mathematical ideas and inventions like prehistoric tally bones through developments in medieval and Renaissance Europe. Fast forward to today and gain insight into the recent rise of game and group theory. Delve in deeper into the history of math: - Ancient and Classical Periods 6000 BCE - 500 CE - The Middle Ages 500 - 1500 - The Renaissance 1500 - 1680 - The Enlightenment 1680 - 1800 - The 19th Century 1800 - 1900 - Modern Mathematics 1900 - Present The Series Simply Explained With over 7 million copies sold worldwide to date, The Math Book is part of the award-winning Big Ideas Simply Explained series from DK Books. It uses innovative graphics along with engaging writing to make complex subjects easier to understand.

Geometric Formulas

Author : Speedy Publishing
Publisher : Speedy Publishing LLC
ISBN 13 : 1634288939
Total Pages : 6 pages
Book Rating : 4.6/5 (342 download)

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Book Synopsis Geometric Formulas by : Speedy Publishing

Download or read book Geometric Formulas written by Speedy Publishing and published by Speedy Publishing LLC. This book was released on 2014-09-04 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no doubt about the fact that our daily lives consistently revolve around mathematics. Whether one knows it or not, just about everything that is seen and felt throughout the day involves some kind of math. The study of geometry can give students a better understanding of how buildings, furniture, vehicles, and other infrastructural models are designed and built. Everything that is created and built around us has involved some kind of geometry. A geometric formulas study guide can help students to not only understand the formulas, but also to retain them within their memories to make solving problems and understanding a much easier task.

The Question of Being in Western and African Analytic Metaphysics

Author : Grivas Muchineripi Kayange
Publisher : Springer Nature
ISBN 13 : 3030696456
Total Pages : 182 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis The Question of Being in Western and African Analytic Metaphysics by : Grivas Muchineripi Kayange

Download or read book The Question of Being in Western and African Analytic Metaphysics written by Grivas Muchineripi Kayange and published by Springer Nature. This book was released on 2021-05-04 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to discuss fundamental developments on the question of being in Western and African philosophy using analytic metaphysics as a framework. It starts with the two orthodox responses to the question of being, namely, the subject-verb-object language view and the rheomodic language view. In the first view, being is conceived through the analysis of language structure, where it is represented by subjects (particulars), objects, and relations (often universals). In the second view, there are different variations; however, the common idea is that the world's structure is revealed in the root verb of terms. This suggests a holistic and dynamic conception of being, where everything is in a continuous process of action. The book builds on analytic philosophy and explores metaphysical concepts such as space-time, modality, causation, indeterminism versus determinism, and mind and body. The book shows that in both Western and African thought, (i) similarities in different studies confirm that philosophy is a universal activity, (ii) differences within a context and beyond confirm the perspectival nature of human knowledge as individuals attempt to interpret reality, and (iii) language influences the conceptualization of being in a particular area. One of the novel aspects is the development of visual and mathematical African models of space and time.

The Four Pillars of Geometry

Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Four Pillars of Geometry by : John Stillwell

Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Dialogue and Boundary Learning

Author : Peter Neville Rule
Publisher : Springer
ISBN 13 : 9463001603
Total Pages : 196 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis Dialogue and Boundary Learning by : Peter Neville Rule

Download or read book Dialogue and Boundary Learning written by Peter Neville Rule and published by Springer. This book was released on 2015-12-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an increasingly monologic world of war, exploitation and fear of “the other”, dialogue within and between humans, and with the world around us, is critical to a humane future. This book explores dialogue and learning in theory, practice and praxis across a spectrum of lifelong education contexts. It develops a philosophical basis by examining the lives, works and dialogic traditions of four key thinkers: Socrates, Martin Buber, Mikhail Bakhtin and Paulo Freire. It then examines dialogue and learning in contexts ranging from early childhood development to adult, community and higher education. In doing so, it develops and illustrates the innovative concepts of dialogic space, boundary learning and diacognition. It has a specific focus on learners and learning in contexts of oppression and marginality, and with a view to personal and social emancipation. It is located in an African context, specifically South Africa, although its resonance is both local and global. The book marks an innovative contribution to our understanding of dialogue and learning, framed by the great dialogic traditions of the past, and is a dialogical provocation to the ongoing generation of praxis. “This book is valuable for grounding lifelong learning experiences within an African context. It underlines the complexities involved in carrying out ‘authentic’ dialogue at different stages of education in Africa throughout the lifespan, exploring cases of border crossing and boundary maintenance.” – Peter Mayo, University of Malta and Series Editor of the International Issues in Adult Education Series

Spacetime and Geometry

Author : Sean M. Carroll
Publisher : Cambridge University Press
ISBN 13 : 1108488390
Total Pages : 529 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Spacetime and Geometry by : Sean M. Carroll

Download or read book Spacetime and Geometry written by Sean M. Carroll and published by Cambridge University Press. This book was released on 2019-08-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Mathland

Author : Michele Emmer
Publisher : Springer Science & Business Media
ISBN 13 : 9783764301491
Total Pages : 100 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Mathland by : Michele Emmer

Download or read book Mathland written by Michele Emmer and published by Springer Science & Business Media. This book was released on 2004 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest book in our successful series IT Revolution in Architecture provides a concise summary of how our perception of the space around us has radically changed in recent years. We could even go as far as to say that we ourselves shape the space around us according to how our perceptions of the universe alter and develop, and mathematics plays a pivotal role. In this book, the "virtual" protagonist of the journey through the concept of space is the square. Michele Emmer, born in 1945, is Professor of Mathematics at the University La Sapienza in Rome and has authored many books and films on the subject of mathematics and art and culture. He was also responsible for exhibitions at the Venetian Biennale and the Cité des Sciences La Villette in Paris.

A History of Non-Euclidean Geometry

Author : Boris A. Rosenfeld
Publisher : Springer Science & Business Media
ISBN 13 : 1441986804
Total Pages : 481 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A History of Non-Euclidean Geometry by : Boris A. Rosenfeld

Download or read book A History of Non-Euclidean Geometry written by Boris A. Rosenfeld and published by Springer Science & Business Media. This book was released on 2012-09-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.

Advanced Trigonometry

Author : C. V. Durell
Publisher : Courier Corporation
ISBN 13 : 0486432297
Total Pages : 354 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Advanced Trigonometry by : C. V. Durell

Download or read book Advanced Trigonometry written by C. V. Durell and published by Courier Corporation. This book was released on 2003-11-19 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.

Minkowski Geometry

Author : Anthony C. Thompson
Publisher : Cambridge University Press
ISBN 13 : 9780521404723
Total Pages : 380 pages
Book Rating : 4.4/5 (47 download)

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Book Synopsis Minkowski Geometry by : Anthony C. Thompson

Download or read book Minkowski Geometry written by Anthony C. Thompson and published by Cambridge University Press. This book was released on 1996-06-28 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive treatment of Minkowski geometry since the 1940's

The Thermodynamics of Electrical Phenomena in Metals, and A Condensed Collection of Thermodynamic Formulas

Author : Percy Williams Bridgman
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Thermodynamics of Electrical Phenomena in Metals, and A Condensed Collection of Thermodynamic Formulas by : Percy Williams Bridgman

Download or read book The Thermodynamics of Electrical Phenomena in Metals, and A Condensed Collection of Thermodynamic Formulas written by Percy Williams Bridgman and published by . This book was released on 1961 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Architecture Co-laboratory

Author : Kas Oosterhuis
Publisher : episode publishers
ISBN 13 : 9789059730366
Total Pages : 620 pages
Book Rating : 4.7/5 (33 download)

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Book Synopsis The Architecture Co-laboratory by : Kas Oosterhuis

Download or read book The Architecture Co-laboratory written by Kas Oosterhuis and published by episode publishers. This book was released on 2006 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publicatie n.a.v. de conferentie gehouden op 1 april 2006 op de faculteit Bouwkunde van de TU Delft over de huidige en toekomstige veranderingen rond de digitaal ontworpen architectuur- en designpraktijk.

The Philosophy of Physics

Author : Roberto Torretti
Publisher : Cambridge University Press
ISBN 13 : 9780521565714
Total Pages : 532 pages
Book Rating : 4.5/5 (657 download)

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Book Synopsis The Philosophy of Physics by : Roberto Torretti

Download or read book The Philosophy of Physics written by Roberto Torretti and published by Cambridge University Press. This book was released on 1999-10-28 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pursues the development of physics from Galileo and Newton to Einstein and the founders of quantum mechanics.

Geometry, Topology and Dynamics of Character Varieties

Author : William Goldman
Publisher : World Scientific
ISBN 13 : 9814401366
Total Pages : 362 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Geometry, Topology and Dynamics of Character Varieties by : William Goldman

Download or read book Geometry, Topology and Dynamics of Character Varieties written by William Goldman and published by World Scientific. This book was released on 2012 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe, for readers uneducated in science, the development of humanity's desire to know and understand the world around us through the various stages of its development to the present, when science is almost universally recognized - at least in the Western world - as the most reliable way of knowing. The book describes the history of the large-scale exploration of the surface of the earth by sea, beginning with the Vikings and the Chinese, and of the unknown interiors of the American and African continents by foot and horseback. After the invention of the telescope, visual exploration of the surfaces of the Moon and Mars were made possible, and finally a visit to the Moon. The book then turns to our legacy from the ancient Greeks of wanting to understand rather than just know, and why the scientific way of understanding is valued. For concreteness, it relates the lives and accomplishments of six great scientists, four from the nineteenth century and two from the twentieth. Finally, the book explains how chemistry came to be seen as the most basic of the sciences, and then how physics became the most fundamental.