# Search Results for "geometry-part-2"

## Differential Geometry

**Author**: Shiing-Shen Chern,Robert Osserman**Publisher:**American Mathematical Soc.**ISBN:**0821802488**Category:**Mathematics**Page:**443**View:**1395

Contains sections on Complex differential geometry, Partial differential equations, Homogeneous spaces, Relativity)

## Several Complex Variables and Complex Geometry

**Author**: Eric Bedford,John P. D'Angelo,Steven G. Krantz**Publisher:**American Mathematical Soc.**ISBN:**0821814907**Category:**Mathematics**Page:**625**View:**5707

## Differential geometry, Part 2

**Author**: Pure Mathematics Symposium Staff American Mathematical Society**Publisher:**American Mathematical Soc.**ISBN:**9780821867846**Category:****Page:**N.A**View:**4220

## Methods of Algebraic Geometry in Control Theory: Part II

*Multivariable Linear Systems and Projective Algebraic Geometry*

**Author**: Peter Falb**Publisher:**Springer Science & Business Media**ISBN:**9780817641139**Category:**Mathematics**Page:**390**View:**3196

"Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations. The aim of this book is to provide access to the methods of algebraic geometry for engineers and applied scientists through the motivated context of control theory" .* The development which culminated with this volume began over twenty-five years ago with a series of lectures at the control group of the Lund Institute of Technology in Sweden. I have sought throughout to strive for clarity, often using constructive methods and giving several proofs of a particular result as well as many examples. The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry). While this is quite satisfactory and natural for scalar systems, the study of multi-input, multi-output linear time invariant control systems requires projective algebraic geometry. Thus, this second volume deals with multi-variable linear systems and pro jective algebraic geometry. The results are deeper and less transparent, but are also quite essential to an understanding of linear control theory. A review of * From the Preface to Part 1. viii Preface the scalar theory is included along with a brief summary of affine algebraic geometry (Appendix E).

## Maths Matters Level 4, Module 2, Part 2

**Author**: N.A**Publisher:**Pearson South Africa**ISBN:**9780798652490**Category:**Competency-based education**Page:**63**View:**939

## Chemometrics in Spectroscopy

**Author**: Howard Mark,Jerome Workman**Publisher:**Elsevier**ISBN:**9780080548388**Category:**Science**Page:**558**View:**8015

Chemometrics in Spectroscopy builds upon the statistical information covered in other books written by these leading authors in the field by providing a broader range of mathematics and progressing into the fundamentals of multivariate and experimental data analysis. Subjects covered in this work include: matrix algebra, analytic geometry, experimental design, calibration regression, linearity, design of collaborative laboratory studies, comparing analytical methods, noise analysis, use of derivatives, analytical accuracy, analysis of variance, and much more are all part of this chemometrics compendium. Developed in the form of a tutorial offering a basic hands-on approach to chemometric and statistical analysis for analytical scientists, experimentalists, and spectroscopists. Without using complicated mathematics, Chemometrics in Spectroscopy demonstrates the basic principles underlying the use of common experimental, chemometric, and statistical tools. Emphasis has been given to problem-solving applications and the proper use and interpretation of data used for scientific research. Offers basic hands-on approach to chemometric and statistical analysis for analytical scientists, experimentalists, and spectroscopists Useful for analysts in their daily problem solving, as well as detailed insights into subjects often considered difficult to thoroughly grasp by non-specialists Provides mathematical proofs and derivations for the student or rigorously-minded specialist

## Modern Geometry— Methods and Applications

*Part II: The Geometry and Topology of Manifolds*

**Author**: B.A. Dubrovin,A.T. Fomenko,S.P. Novikov**Publisher:**Springer Science & Business Media**ISBN:**9780387961620**Category:**Mathematics**Page:**432**View:**3485

Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.