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Differential Geometry and Tensors

The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and;

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Tensors

are given at the end of the book. The applications of tensors to the fields of differential geometry, relativity, cosmology and;

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Introduction to Differential Geometry with Tensor Applications

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to;

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Tensors and Riemannian Geometry

students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to;

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Tensor Calculus

illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. The first five chapters;

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Conformal Differential Geometry

of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the;

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Differential Geometry and Lie Groups

as a generalized viewpoint of the quaternions. Differential Geometry and Lie Groups: A Second Course captures the mathematical theory;

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Modern Geometry - Methods and Applications: Part I

This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and;

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Calculus of Tensors and Differential Forms

CALCULUS OF TENSORS AND DIFFERENTIAL FORMS is an introductory-level textbook. Through this book, students will familiarize themselves with;

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Tensors

perspective to the use of tensors in these areas. It begins with an introduction to the geometry of tensors and provides geometric expositions of the;

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Tensors

Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a;

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Modern Geometry - Methods and Applications

subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which;

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Differential Forms with Applications to the Physical Sciences

is directed primarily to engineers and physical scientists, but it has also been used successfully to introduce modern differential geometry to;

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From Differential Geometry to Non-commutative Geometry and Topology

This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential;

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Differential Geometry & Integral Geometry

gives a smooth and rapid introduction to differential manifolds and differential geometry, while the set entitled Lectures on Integral Geometry;

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Introduction to Vector and Tensor Analysis

fields. The knowledge of vector and tensor analysis gained in this way is excellent preparation for further studies in differential geometry;

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Differential Geometry, Differential Equations, and Mathematical Physics

This volume presents lectures given at the Wisla 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics;

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Handbook of Differential Geometry

of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research;

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Introduction to Differential Geometry with applications to Navier-Stokes Dynamics

understand and use exterior calculus and differential geometry, the modern approach to calculus and geometry. Author Troy Story makes use;

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Recent Progress in Differential Geometry and Its Related Fields

This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its;

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Synthetic Geometry Of Manifolds

constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric;

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Applications of Tensor Analysis

quadric cone and the conic, systems of cones and conics, central quadrics, the general quadric, affine transformations); differential geometry;

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Tensors, Differential Forms and Variational Principles

differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the;

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Handbook of Differential Geometry, Volume 1

Presents a survey of the field of differential geometry. This book deals with the basic material of differential geometry and with research;

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Tensor and Vector Analysis

Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development;

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Infinite-Dimensional Manifolds

differential equations, and Riemannian geometry. Like in his other books, Geroch explains even the most abstract concepts with the help of intuitive;

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Differential Geometry in the Large

differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across;

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