Trigonometry, Geometry, and the Conception of Space PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Trigonometry, Geometry, and the Conception of Space PDF full book. Access full book title Trigonometry, Geometry, and the Conception of Space by Paul M. Tokorcheck. Download full books in PDF and EPUB format.
Author: Paul M. Tokorcheck
Publisher:
ISBN: 9781516553921
Category :
Languages : en
Pages : 286
Get Book Here
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."
Author: Paul M. Tokorcheck
Publisher:
ISBN: 9781516553921
Category :
Languages : en
Pages : 286
Get Book Here
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."
Author: Paul Tokorcheck
Publisher: Cognella Academic Publishing
ISBN: 9781634871877
Category :
Languages : en
Pages : 286
Get Book Here
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.""
Author: Francesca Biagioli
Publisher: Springer
ISBN: 3319317792
Category : Philosophy
Languages : en
Pages : 258
Get Book Here
Book Description
This book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientific developments as non-Euclidean geometries and Einstein’s general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtz’s epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different strategies for a philosophical account of the same transformation from a neo-Kantian perspective, and especially Hermann Cohen’s account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer’s reformulation of the a priori of space in terms of a system of hypotheses. This book is ideal for students, scholars and researchers who wish to broaden their knowledge of non-Euclidean geometry or neo-Kantianism.
Author: Cyril Fleurant
Publisher: Springer
ISBN: 3319692429
Category : Science
Languages : en
Pages : 201
Get Book Here
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.
Author: Speedy Publishing
Publisher: Speedy Publishing LLC
ISBN: 1634288939
Category : Mathematics
Languages : en
Pages : 6
Get Book Here
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.
Author: California Teachers Association
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 118
Get Book Here
Book Description
List of members in each volume.
Author: Grivas Muchineripi Kayange
Publisher: Springer Nature
ISBN: 3030696456
Category : Philosophy
Languages : en
Pages : 182
Get Book Here
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.
Author: Peter Neville Rule
Publisher: Springer
ISBN: 9463001603
Category : Education
Languages : en
Pages : 196
Get Book Here
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
Author: Michele Emmer
Publisher: Springer Science & Business Media
ISBN: 9783764301491
Category : Architecture
Languages : en
Pages : 100
Get Book Here
Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 414
Get Book Here
Book Description
