Metrical Geometry
Author | : George Bruce Halsted |
Publisher | : |
Total Pages | : 258 |
Release | : 1881 |
Genre | : Measurement |
ISBN | : |
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Author | : George Bruce Halsted |
Publisher | : |
Total Pages | : 258 |
Release | : 1881 |
Genre | : Measurement |
ISBN | : |
Author | : Dmitri Burago |
Publisher | : American Mathematical Soc. |
Total Pages | : 434 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821821296 |
"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces).
Author | : |
Publisher | : Namaskar Book |
Total Pages | : 377 |
Release | : |
Genre | : Fiction |
ISBN | : |
Embark on a thought-provoking journey into the foundations of geometry with "An Essay on the Foundations of Geometry: Bertrand Russell's Philosophical Inquiry" by Bertrand Russell. Join the esteemed philosopher as he delves deep into the philosophical underpinnings of this fundamental branch of mathematics. As you delve into Russell's essay, prepare to engage with the intricate concepts and abstract reasoning that define the study of geometry. With clarity and precision, Russell unravels the philosophical implications of geometric principles, inviting readers to ponder the nature of space, form, and mathematical truth. But beyond the realm of mathematics, Russell's inquiry extends into broader philosophical questions about the nature of reality and human knowledge. Through rigorous analysis and critical examination, he challenges conventional views of geometry and offers fresh insights into the relationship between mathematical abstraction and empirical reality. Yet, amidst the abstract theories and geometric axioms, a fundamental question emerges: What profound insights can we glean from Russell's philosophical inquiry into the foundations of geometry, and how might they reshape our understanding of the universe? Engage with Russell's philosophical discourse through concise, thought-provoking paragraphs that stimulate reflection and intellectual curiosity. His exploration of geometric foundations serves as a gateway to deeper philosophical inquiries, inviting readers to contemplate the nature of truth, perception, and human cognition. Now, as you embark on this intellectual odyssey with Russell, consider this: How can his insights into the foundations of geometry inspire us to explore the boundaries of human understanding and push the frontiers of mathematical knowledge? Seize the opportunity to delve into the depths of mathematical philosophy with "An Essay on the Foundations of Geometry: Bertrand Russell's Philosophical Inquiry." Acquire your copy today and embark on a transformative journey of intellectual discovery and philosophical insight. ```
Author | : A. W. Russell |
Publisher | : CUP Archive |
Total Pages | : 240 |
Release | : 2017-07-29 |
Genre | : History |
ISBN | : |
Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates.
Author | : T. Ewan Faulkner |
Publisher | : Courier Corporation |
Total Pages | : 148 |
Release | : 2013-02-20 |
Genre | : Mathematics |
ISBN | : 0486154890 |
Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.
Author | : Carl Barnett Allendoerfer |
Publisher | : CUP Archive |
Total Pages | : 596 |
Release | : 1953 |
Genre | : Mathematics |
ISBN | : |
Author | : Bertrand Russell |
Publisher | : Routledge |
Total Pages | : 576 |
Release | : 2020-02-25 |
Genre | : Philosophy |
ISBN | : 1136765743 |
Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which Principia Mathematica provided the detailed proof, and introduced the work of Frege to a wider audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics.
Author | : Francisco Ayala |
Publisher | : Univ of California Press |
Total Pages | : 424 |
Release | : 1974-01-01 |
Genre | : Science |
ISBN | : 9780520026490 |
Author | : Frederick Converse Beach |
Publisher | : |
Total Pages | : 1076 |
Release | : 1905 |
Genre | : Encyclopedias and dictionaries |
ISBN | : |