# krainaksiazek introduction to differential geometry 20107112

- znaleziono 65 produktów w 4 sklepach

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

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

Sklep: Gigant.pl

### Modern Differential Geometry for Physicists 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

### Differential Geometry and Lie Groups for Physicists Cambridge University Press

**Książki / Literatura obcojęzyczna**

Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This 2006 textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.

Sklep: Libristo.pl

### Differential Geometry Dover Publications

**Książki / Literatura obcojęzyczna**

1. Introduction 2. Space Curves 3. Curves and Surfaces Associated with a Space Curve 4. Fundamentals of the Theory of Surfaces 5. Curvature. Important Systems of Curves 6. The Fundamental Theorem 7. Geodesic Curvature. Geodesics 8. Mapping of Surfaces 9. The Absolute Geometry of a Surface 10. Surfaces of Special Type Index

Sklep: Libristo.pl

### Elementary Differential Geometry Cambridge University Press

**Książki / Literatura obcojęzyczna**

This easy-to-read introduction takes the reader from elementary problems through to current research. Ideal for courses and self-study.

Sklep: Libristo.pl

### Natural Operations in Differential Geometry Springer, Berlin

**Książki / Literatura obcojęzyczna**

The literature on natural bundles and natural operators in differential geometry, was until now, scattered in the mathematical journal literature. This book is the first monograph on the subject, collecting this material in a unified presentation. The book begins with an introduction to differential geometry stressing naturality and functionality, and the general theory of connections on arbitrary fibered manifolds. The functional approach to classical natural bundles is extended to a large class of geometrically interesting categories. Several methods of finding all natural operators are given and these are identified for many concrete geometric problems. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces, and the basic structures from the theory of jets are therefore described here too in a self-contained manner. The relations of these geometric problems to corresponding questions in mathematical physics are brought out in several places in the book, and it closes with a very comprehensive bibliography of over 300 items. This book is a timely addition to literature filling the gap that existed here and will be a standard reference on natural operators for the next few years.

Sklep: Libristo.pl

### Differential Geometry and Lie Groups for Physicists Cambridge University Press

**Książki / Literatura obcojęzyczna**

Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This 2006 textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.

Sklep: Libristo.pl

### Elementary Differential Geometry

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry>Differential & Riemannian geometryKsiążki Obcojęzyczne>An...**

Intended For Students Who Have Completed The Standard First Courses In Calculus And Linear Algebra, This Edition Provides An Introduction To The Geometry Of Curves And Surfaces. It Places Emphasis On Topological Properties, Properties Of Geodesics, Singul

Sklep: Gigant.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

### Introduction to Differential Calculus Wiley & Sons

**Książki / Literatura obcojęzyczna**

Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences§Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications.§The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including:§Concepts of function, continuity, and derivative§Properties of exponential and logarithmic function§Inverse trigonometric functions and their properties§Derivatives of higher order§Methods to find maximum and minimum values of a function§Hyperbolic functions and their properties§Readers are equipped with the necessary tools to quickly learn how to understand a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Differential Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.

Sklep: Libristo.pl

### An Introduction To Differential Manifolds

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry>Differential & Riemannian geometryKsiążki Obcojęzyczne>An...**

An Introduction To Basic Ideas In Differential Topology, Covering Smooth Manifolds And Maps, The Structure Of The Tangent Bundle And Its Associates, The Calculation Of Real Cohomology Groups Using Differential Forms, And Applications. Each Chapter Contains Exercises And Solutions Are Provided.

Sklep: Gigant.pl

### An Introduction To Differential Manifolds

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

Sklep: Gigant.pl

### Introduction to Linear Algebra and Differential Equations Dover Publications

**Książki / Literatura obcojęzyczna**

Preface 1. Complex Numbers 1.1 Introduction 1.2 The Algebra of Complex Numbers 1.3 The Geometry of Complex Numbers 1.4 Two-dimensional Vectors 1.5 Functions of a Complex Variable 1.6 Exponential Function 1.7 Power Series 2. Linear Algebraic Equations 2.1 Introduction 2.2 Matrices 2.3 Elimination Method 2.4 Determinants 2.5 Inverse of a Matrix 2.6 Existence and Uniqueness Theorems 3. Vector Spaces 3.1 Introduction 3.2 Three-dimensional Vectors 3.3 Axioms of a Vector Space 3.4 Dependence and Independence of Vectors 3.5 Basis and Dimension 3.6 Scalar Product 3.7 Orthonormal Bases 3.8 Infinite-dimensional Vector Spaces 4. Linear Transformations 4.1 Introduction 4.2 Definitions and Examples 4.3 Matrix Representations 4.4 Changes of Bases 4.5 Characteristic Values and Characteristic Vectors 4.6 Symmetric and Hermitian Matrices 4.7 Jordan Forms 5. First Order Differential Equations 5.1 Introduction 5.2 An Example 5.3 Basic Definitions 5.4 First Order Linear Equations 5.5 First Order Nonlinear Equations 5.6 Applications of First Order Equations 5.7 Numerical Methods 5.8 Existence and Uniqueness 6. Linear Differential Equations 6.1 Introduction 6.2 General Theorems 6.3 Variation of Parameters 6.4 Equations with Constant Coefficients 6.5 Method of Undetermined Coefficients 6.6 Applications 6.7 Green's Functions 7. Laplace Transforms 7.1 Introduction 7.2 Existence of the Transform 7.3 Transforms of Certain Functions 7.4 Inversion of the Transform 7.5 Solution of Differential Equations 7.6 Applications 7.7 Uniqueness of the Transform 8. Power-Series Methods 8.1 Introduction 8.2 Solution near Ordinary Points 8.3 Solution near Regular Singular Points 8.4 Bessel Functions 8.5 Boundary-value Problems 8.6 Convergence Theorems 9. Systems of Differential Equations 9.1 Introduction 9.2 First Order Systems 9.3 Linear First Order Systems 9.4 Linear First Order Systems with Constant Coefficients 9.5 Higher Order Linear Systems 9.6 Existence and Uniqueness Theorem Answers and Hints for Selected Exercises; Index

Sklep: Libristo.pl

### Introduction to the Geometry of Stochastic Flows Imperial College Press

**Książki / Literatura obcojęzyczna**

This book aims to provide a self-contained introduction to the local geometry of the stochastic flows. It studies the hypoelliptic operators, which are written in Hormander's form, by using the connection between stochastic flows and partial differential equations. The book stresses the author's view that the local geometry of any stochastic flow is determined very precisely and explicitly by a universal formula referred to as the Chen-Strichartz formula. The natural geometry associated with the Chen-Strichartz formula is the sub-Riemannian geometry, and its main tools are introduced throughout the text.

Sklep: Libristo.pl

### Introduction to Geometry John Wiley and Sons (WIE)

**Książki / Literatura obcojęzyczna**

This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self--contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4--color map problem, and provides answers to most of the exercises.

Sklep: Libristo.pl

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