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Differential Geometry
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by
Erwin Kreyszig
Written by a distinguished mathematical scholar, this outstanding textbook introduces the differential geometry of curves and surfaces in three-dimensional Euclidean space. The subject is presented in its simplest form, with many explanatory details, figures and examples, and in a manner that conveys the significance and practical importance of ...
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Differential Geometry of Curves and Surfaces
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by
Manfredo P Do Carmo
This volume covers local as well as global differential geometry of curves and surfaces. *Makes extensive use of elementary linear algebra - with emphasis on basic geometrical facts rather than on machinery or random details. *Stresses the basic ideas of differential geometry - regular surfaces, the Gauss map, covariant derivatives. ...
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Elementary differential geometry
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by
Barrett O'Neill
Written primarily for students who have completed the standard first courses in calculus and linear algebra, "Elementary Differential Geometry, Revised 2nd Edition", provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers ...
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A Comprehensive Introduction to Differential Geometry
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by
Michael Spivak
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Differential Geometry
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by
Heinrich Guggenheimer
This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.
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Lecture Notes on Elementary Topology and Geometry
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by
I M Singer, J a Thorpe
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Beyond the Third Dimension
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by
Thomas F Banchoff
This work investigates ways of picturing and understanding dimensions below and above our own. What would a two-dimensional universe be like? How can we even attempt to picture objects of four, five or six dimensions? Such are the questions examined in this text.
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Elements of Differential Geometry
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by
Richard S Millman, George D Parker
Makes a strong effort to bring topics up to an undergraduate level and is easily taught by any math prof. Most simplified of our books in this area.
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Geometrical Methods of Mathematical Physics
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by
Bernard F Schutz
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives ...
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Foundations of Mechanics
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by
Ralph Abraham, Jerrold E Marsden
}In the Spring of 1966, I gave a series of lectures in the Princeton University Department of Physics, aimed at recent mathematical results in mechanics, especially the work of Kolmogorov, Arnold, and Moser and its application to Laplaces question of stability of the solar system. Mr. Marsdens notes of the lectures, with some revision and ...
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Foundations of differentiable manifolds and Lie groups
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by
Frank Wilson Warner
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via ...
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Singularities of Differentiable Maps: Vol. 2: Monodromy and Asymptotic Integrals
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by
Vladimir I Arnol'd, S Gusein-Zade, A Varchenko
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Introduction to Differentiable Manifolds
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by
Serge Lang
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. A certain number of concepts are essential for all three of these areas, and are so basic and elementary, that it is worthwhile to collect them together so that more advanced expositions can be given ...
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Elementary Geometry of Differentiable Curves: An Undergraduate Introduction
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by
Chris Gibson
This genuine introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, ...
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Lectures on Classical Differential Geometry: Second Edition
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by
Dirk Jan Struik
Excellent brief introduction presents fundamental theory of curves and surfaces and applies them to a number of examples. Topics include curves, theory of surfaces, fundamental equations, envelopes, more. Many problems and solutions. Bibliography.
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Analysis on Manifolds
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by
James R Munkres
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Conformal mapping
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by
Ludwig Bieberbach
Includes an expanded Bibliography.
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The Geometry of Physics: An Introduction
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by
Theodore Frankel
This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, ...
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Solid Shape
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by
Koenderink
Solid Shape gives engineers and applied scientists access to the extensive mathematical literature on three dimensional shapes.
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Regularity Theory for Mean Curvature Flow
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by
Klaus Ecker
This work is devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow.Mean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physics. A major example is ...
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Differential Geometry
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by
William C Graustein
This first course in differential geometry presents the fundamentals of the metric differential geometry of curves and surfaces in a Euclidean space of 3 dimensions, using vector notation and technique. It also introduces Riemannian geometry. Written by a noted mathematician, the text presupposes a knowledge of calculus. Nearly 200 problems. 1935 ...
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Riemannian Manifolds: An Introduction to Curvature
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by
John M Lee
This text is designed for a one-quarter or one-semester graduate course in Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. The book begins with a careful ...
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The Radon transform and some of its applications
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by
Stanley R Deans
Of value to mathematicians, physicists, and engineers, this excellent introduction to Radon transform covers both theory and applications, with a rich array of examples and literature that forms a valuable reference. This 1993 edition is a revised and updated version by the author of his pioneering work.
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Modern Geometry. Methods and Applications: Part 2: The Geometry and Topology of Manifolds
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by
S P Novikov, B A Dubrovin, A T Fomenko
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Nonlinear Control Systems
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by
Alberto Isidori
This established and authoritative text focuses on the design and analysis of nonlinear control systems. The author considers the latest research results and techniques in this updated and extended edition. Topics covered include: local and global decompositions of control systems; input-output maps and realization theory; nonlinear feedback for ...
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