Differential Geometry And Its Applications
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Differential Geometry and Its Applications
Author | : John Oprea |
Publsiher | : MAA |
Total Pages | : 508 |
Release | : 2007-09-06 |
Genre | : Mathematics |
ISBN | : 0883857480 |
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This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.
An Introduction to Noncommutative Differential Geometry and Its Physical Applications
Author | : J. Madore |
Publsiher | : Cambridge University Press |
Total Pages | : 381 |
Release | : 1999-06-24 |
Genre | : Mathematics |
ISBN | : 9780521659918 |
Download An Introduction to Noncommutative Differential Geometry and Its Physical Applications Book in PDF, Epub and Kindle
A thoroughly revised introduction to non-commutative geometry.
Geometry and Complexity Theory
Author | : J. M. Landsberg |
Publsiher | : Cambridge University Press |
Total Pages | : 353 |
Release | : 2017-09-28 |
Genre | : Computers |
ISBN | : 9781107199231 |
Download Geometry and Complexity Theory Book in PDF, Epub and Kindle
This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.
Differential Geometry Calculus of Variations and Their Applications
Author | : George M. Rassias,Themistocles M. Rassias |
Publsiher | : CRC Press |
Total Pages | : 544 |
Release | : 2023-05-31 |
Genre | : Mathematics |
ISBN | : 9781000943948 |
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This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Information Geometry and Its Applications
Author | : Shun-ichi Amari |
Publsiher | : Springer |
Total Pages | : 378 |
Release | : 2016-02-02 |
Genre | : Mathematics |
ISBN | : 9784431559788 |
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This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the Neyman–Scott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields.
Differential Geometry and Its Applications
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 342 |
Release | : 1987 |
Genre | : Electronic Book |
ISBN | : OCLC:935320578 |
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Differential Geometry and Its Applications
Author | : Oldřich Kowalski,Olga Krupkova |
Publsiher | : World Scientific |
Total Pages | : 732 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9789812790613 |
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This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture OC Leonhard Euler OCo 300 years onOCO by R Wilson. Notable contributors include J F Cariena, M Castrilln Lpez, J Erichhorn, J-H Eschenburg, I KoliO, A P Kopylov, J Korbai, O Kowalski, B Kruglikov, D Krupka, O Krupkovi, R L(r)andre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Muoz Masqu(r), S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slovik, J Szilasi, L Tamissy, P Walczak, and others."
An Introduction to Differential Geometry with Applications to Elasticity
Author | : Philippe G. Ciarlet |
Publsiher | : Springer Science & Business Media |
Total Pages | : 212 |
Release | : 2006-06-28 |
Genre | : Technology & Engineering |
ISBN | : 9781402042485 |
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curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, begins by a detailed description of the nonlinear and linear equations proposed by W.T. Koiter for modeling thin elastic shells. These equations are “two-dimensional”, in the sense that they are expressed in terms of two curvilinear coordinates used for de?ning the middle surface of the shell. The existence, uniqueness, and regularity of solutions to the linear Koiter equations is then established, thanks this time to a fundamental “Korn inequality on a surface” and to an “in?nit- imal rigid displacement lemma on a surface”. This chapter also includes a brief introduction to other two-dimensional shell equations. Interestingly, notions that pertain to di?erential geometry per se,suchas covariant derivatives of tensor ?elds, are also introduced in Chapters 3 and 4, where they appear most naturally in the derivation of the basic boundary value problems of three-dimensional elasticity and shell theory. Occasionally, portions of the material covered here are adapted from - cerpts from my book “Mathematical Elasticity, Volume III: Theory of Shells”, published in 2000by North-Holland, Amsterdam; in this respect, I am indebted to Arjen Sevenster for his kind permission to rely on such excerpts. Oth- wise, the bulk of this work was substantially supported by two grants from the Research Grants Council of Hong Kong Special Administrative Region, China [Project No. 9040869, CityU 100803 and Project No. 9040966, CityU 100604].