# krainaksiazek introduction to differential geometry 20107112

- znaleziono 85 produktów w 5 sklepach

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

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

Sklep: Gigant.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

### Variational Problems in Differential Geometry Cambridge University Press

**Książki / Literatura obcojęzyczna**

The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevance to the study of integrable systems, mathematical physics and PDEs. The workshop 'Variational Problems in Differential Geometry' held in 2009 at the University of Leeds brought together internationally respected researchers from many different areas of the field. Topics discussed included recent developments in harmonic maps and morphisms, minimal and CMC surfaces, extremal Kähler metrics, the Yamabe functional, Hamiltonian variational problems and topics related to gauge theory and to the Ricci flow. These articles reflect the whole spectrum of the subject and cover not only current results, but also the varied methods and techniques used in attacking variational problems. With a mix of original and expository papers, this volume forms a valuable reference for more experienced researchers and an ideal introduction for graduate students and postdoctoral researchers.

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

### Differential Geometry and Symmetric Spaces American Mathematical Society

**Książki / Literatura obcojęzyczna**

Suitable as a text for both Riemannian geometry and for the analysis and geometry of symmetric spaces, this title features chapters on differential geometry and Lie groups. It also includes a chapter on functions on symmetric spaces, that gives an introduction to the study of spherical functions, and the theory of invariant differential operators.

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

### 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

### Elementary Differential Geometry

**Książki Obcojęzyczne>Nieprzypisane**

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

### 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 Differential and Algebraic Topology Springer Netherlands

**Książki / Literatura obcojęzyczna**

This Introduction to Topology, which is a thoroughly revised, extensively rewritten, second edition of the work first published in Russian in 1980, is a primary manual of topology. It contains the basic concepts and theorems of general topology and homotopy theory, the classification of two-dimensional surfaces, an outline of smooth manifold theory and mappings of smooth manifolds. Elements of Morse and homology theory, with their application to fixed points, are also included. Finally, the role of topology in mathematical analysis, geometry, mechanics and differential equations is illustrated. Introduction to Topology contains many attractive illustrations drawn by A. T. Frenko, which, while forming an integral part of the book, also reflect the visual and philosophical aspects of modern topology. Each chapter ends with a review of the recommended literature. Audience: Researchers and graduate students whose work involves the application of topology, homotopy and homology theories.

Sklep: Libristo.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 Global Variational Geometry Springer, Berlin

**Książki / Literatura obcojęzyczna**

The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geometry, physical field theory and higher-order fibered mechanics. The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections of a fibred space, the (global) first variational formula in infinitesimal and integral forms- extremal conditions and the discussion of Noether symmetries and generalizations,- the inverse problems of the calculus of variations of Helmholtz type- variational sequence theory and its consequences for the global inverse problem (cohomology conditions)- examples of variational functionals of mathematical physics. Complete formulations and proofs of all basic assertions are given, based on theorems of global analysis explained in the Appendix.

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

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