A Course in Metric Geometry PDF Download
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Author: Dmitri Burago
Publisher: American Mathematical Society
ISBN: 1470468530
Category : Mathematics
Languages : en
Pages : 415
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Book Description
“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-Carathéodory 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). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
Author: Dmitri Burago
Publisher: American Mathematical Society
ISBN: 1470468530
Category : Mathematics
Languages : en
Pages : 415
Get Book Here
Book Description
“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-Carathéodory 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). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
Author: Bertrand Russell
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 228
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Book Description
Author: A. W. Russell
Publisher: CUP Archive
ISBN:
Category : History
Languages : en
Pages : 240
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Book Description
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:
Publisher: Namaskar Book
ISBN:
Category : Fiction
Languages : en
Pages : 377
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Book Description
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: T. Ewan Faulkner
Publisher: Courier Corporation
ISBN: 0486154890
Category : Mathematics
Languages : en
Pages : 148
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Book Description
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: S. Gandon
Publisher: Springer
ISBN: 1137024658
Category : Mathematics
Languages : en
Pages : 268
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Book Description
In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics , meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.
Author: Francisco Ayala
Publisher: Univ of California Press
ISBN: 9780520026490
Category : Science
Languages : en
Pages : 424
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Book Description
Author: Frederick Converse Beach
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 760
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Book Description
Author:
Publisher: SUNY Press
ISBN: 0791482820
Category :
Languages : en
Pages : 510
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Book Description
Author: Murray G. Murphey
Publisher: Hackett Publishing
ISBN: 9780872201835
Category : Philosophy
Languages : en
Pages : 454
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Book Description
A reprint of the Harvard University Press edition of 1961. Includes a new preface and a new appendix with footnotes keyed to the manuscript classifications by Max Fisch.
