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Trigonometry, Geometry, and the Conception of Space

Author : Paul M. Tokorcheck

Publisher :

Page : 286 pages

File Size : 43,53 MB

Release : 2015-08-07

Category :

ISBN : 9781516553921

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Book Description

"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

Page : 286 pages

File Size : 42,95 MB

Release : 2014-12-31

Category :

ISBN : 9781634871877

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Book Description

""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

Page : 201 pages

File Size : 23,48 MB

Release : 2018-09-19

Category : Science

ISBN : 3319692429

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Book Description

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

Page : 711 pages

File Size : 16,9 MB

Release : 2019-09-03

Category : Mathematics

ISBN : 1465494200

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Book Description

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

Page : 6 pages

File Size : 42,64 MB

Release : 2014-09-04

Category : Mathematics

ISBN : 1634288939

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Book Description

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 Four Pillars of Geometry

Author : John Stillwell

Publisher : Springer Science & Business Media

Page : 240 pages

File Size : 10,33 MB

Release : 2005-08-09

Category : Mathematics

ISBN : 0387255303

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Book Description

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



The Question of Being in Western and African Analytic Metaphysics

Author : Grivas Muchineripi Kayange

Publisher : Springer Nature

Page : 182 pages

File Size : 28,91 MB

Release : 2021-05-04

Category : Philosophy

ISBN : 3030696456

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Book Description

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.



Dialogue and Boundary Learning

Author : Peter Neville Rule

Publisher : Springer

Page : 196 pages

File Size : 44,84 MB

Release : 2015-12-01

Category : Education

ISBN : 9463001603

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Book Description

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



Space, Time, and Geometry

Author : Patrick Suppes

Publisher : Springer Science & Business Media

Page : 448 pages

File Size : 35,41 MB

Release : 1973-12-31

Category : Philosophy

ISBN : 9789027703866

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Book Description

The articles in this volume have been stimulated in two different ways. More than two years ago the editor of Synthese, laakko Hintikka, an nounced a special issue devoted to space and time, and articles were solicited. Part of the reason for that announcement was also the second source of papers. Several years ago I gave a seminar on special relativity at Stanford, and the papers by Domotor, Harrison, Hudgin, Latzer and myself partially arose out of discussion in that seminar. All of the papers except those of Griinbaum, Fine, the second paper of Friedman, and the paper of Adams appeared in a special double issue of Synthese (24 (1972), Nos. 1-2). I am pleased to have been able to add the four additional papers mentioned in making the special issue a volume in the Synthese Library. Of these four additional articles, only the one by Fine has pre viously appeared in print (Synthese 22 (1971),448--481); its relevance to the present volume is apparent. In preparing the papers for publication and in carrying out the various editorIal chores of such a task, I am very much indebted to Mrs. Lillian O'Toole for her extensive assistance. INTRODUCTION The philosophy of space and time has been of permanent importance in philosophy, and most of the major historical figures in philosophy, such as Aristotle, Descartes and Kant, have had a good deal to say about the nature of space and time.



Spacetime and Geometry

Author : Sean M. Carroll

Publisher : Cambridge University Press

Page : 529 pages

File Size : 11,64 MB

Release : 2019-08-08

Category : Science

ISBN : 1108488390

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Book Description

An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.