# krainaksiazek introduction to differential geometry 20107112

- znaleziono 80 produkty w 6 sklepach

### Introduction to Differential Geometry of Space Curves and Surfaces: Differential Geometry of Curves and Surfaces

**Książki**

Sklep: KrainaKsiazek.pl

### Introduction to Differential Geometry Princeton University Press

**Książki / Literatura obcojęzyczna**

The description for this book, Introduction to Differential Geometry, will be forthcoming.

Sklep: Libristo.pl

### An Introduction To Differential Geometry - With The Use Of Tensor Calculus

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics**

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Sklep: Gigant.pl

### Introduction to Differential Geometry for Engineers Dover Publications

**Książki / Literatura obcojęzyczna**

Preface List of Figures 1. Introduction 2. Manifolds and Their Maps 3. Tangent Spaces 4. Vector Fields 5. Exterior Algebra 6. Lie Groups and Actions 7. Homogeneous Spaces 8. Grassmannian Techniques 9. Concluding Remarks 10. Appendix: Vector Calculus Bibliography Index

Sklep: Libristo.pl

### Modern Differential Geometry For Physicists (2nd Edition) World Scientific Publishing Co Pte Ltd

**Książki / Literatura obcojęzyczna**

These lecture notes are the content of an introductory course on modern, co-ordinate-free differential geometry which is taken by first-year theoretical physics PhD students, or by students attending the one-year MSc course, "Fundamental Fields and Forces" at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen bearing in mind the way in which differential geometry is applied to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, nonlinear sigma models and other types of nonlinear field systems that feature in modern quantum field theory. This edition of the text contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made. The volume is divided into four parts. The first provides an introduction to general topology, the second covers introductory co-ordinate-free differential geometry, the third examines geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, and the fourth provides an introduction to the theory of fibre bundles. In the introduction to differential geometry the author lays considerable stress on the basic ideas of "tangent space structure", which he develops from several different points of view - some geometrical, others more algebraic.

Sklep: Libristo.pl

### Elementary Differential Geometry, Revised 2nd Edition Academic Press Inc

**Książki / Literatura obcojęzyczna**

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 and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text. It is the fortieth anniversary of publication! Over 36,000 copies are sold worldwide. There is accessible, practical yet rigorous approach to a complex topic - also suitable for self-study. There is extensive update of appendices on Mathematica and Maple software packages. There is thorough streamlining of second edition's numbering system. It has fuller information on solutions to odd-numbered problems. There are additional exercises and hints that guide students in using the latest computer modeling tools.

Sklep: Libristo.pl

### Elementary Topics in Differential Geometry Springer, Berlin

**Książki / Literatura obcojęzyczna**

In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.

Sklep: Libristo.pl

### Differential Geometry

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry>Differential & Riemannian geometry**

Presents An Introduction To Modern Differential Geometry. This Book Features Tools From Analysis And Topology, Including Sard's Theorem, De Rham Cohomology, Calculus On Manifolds, And A Degree Theory.

Sklep: Gigant.pl

### Differential Geometry, Lie Groups and Symmetric Spaces American Mathematical Society

**Książki / Literatura obcojęzyczna**

Presents an introduction to differential geometry. This book then introduces Lie groups and Lie algebras. It concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbf{C}$ and Cartan's classification of simple Lie algebras over $\mathbf{R}$.

Sklep: Libristo.pl

### Differential Geometry For Physicists World Scientific Publishing Co Pte Ltd

**Książki / Literatura obcojęzyczna**

This book provides an introduction to prerequisite topological and algebraic knowledge. The first seven chapters, focusing on local analysis, can be used as a fundamental textbook for graduate students of theoretical physics. The later chapters discuss geometry in fibre bundles, and deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry. The text aims to provide coverage of current research in theoretical physics.

Sklep: Libristo.pl

### Differential Geometry of Singular Spaces and Reduction of Symmetry Cambridge University Press

**Książki / Literatura obcojęzyczna**

In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces. Part II presents an effective approach to the reduction of symmetries. Concrete applications covered in the text include reduction of symmetries of Hamiltonian systems, non-holonomically constrained systems, Dirac structures, and the commutation of quantization with reduction for a proper action of the symmetry group. With each application the author provides an introduction to the field in which relevant problems occur. This book will appeal to researchers and graduate students in mathematics and engineering.

Sklep: Libristo.pl

### Differential Geometry Oxford University Press

**Książki / Literatura obcojęzyczna**

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kahler geometry. Differential Geometry uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the only such source with the classical examples presented in detail.

Sklep: Libristo.pl

### An Introduction to Differential Manifolds Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces.§§Its ambition is to give solid foundations. In particular, the introduction of "abstract" notions such as manifolds or differential forms is motivated via questions and examples from mathematics or theoretical physics. More than 150 exercises, some of them easy and classical, some others more sophisticated, will help the beginner as well as the more expert reader. Solutions are provided for most of them.§§The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory.§§The original French text Introduction aux variétés différentielles has been a best-seller in its category in France for many years.§§Jacques Lafontaine was successively assistant Professor at Paris Diderot University and Professor at the University of Montpellier, where he is presently emeritus. His main research interests are Riemannian and pseudo-Riemannian geometry, including some aspects of mathematical relativity. Besides his personal research articles, he was involved in several textbooks and research monographs.§

Sklep: Libristo.pl

### An Introduction To Differential Manifolds

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry>Differential & Riemannian geometry**

Sklep: Gigant.pl

### An Introduction To Differential Manifolds

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry>Differential & Riemannian geometry**

0x0051d82800000000

Sklep: Gigant.pl

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