# eBook Differential Geometry and Its Applications download

## by John Oprea

**ISBN:**0133407381

**Author:**John Oprea

**Publisher:**Prentice Hall College Div; 1 edition (October 28, 1996)

**Language:**English

**Pages:**387

**ePub:**1347 kb

**Fb2:**1449 kb

**Rating:**4.9

**Other formats:**docx txt lrf lit

**Category:**Math Sciences

**Subcategory:**Mathematics

This book studies the differential geometry of surfaces and aims to help students make the transition from the . Afer going through Oprea, one might like to tackle O'Neill's "Elementary Differential Geometry" and Vols 2-4 of Spivak's "Comprehensive Introduction to .

This book studies the differential geometry of surfaces and aims to help students make the transition from the standard university curriculum to a type of mathematics that is a unified whole, by mixing geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. Like O'Neill, Oprea develops surface theory using the shape operator. But Oprea takes shortcuts and doesn't develop the theory in quite the same generality as O'Neill does.

This book studies the differential geometry of surfaces with the goal of helping students make the transition from . Differential geometry is not just for mathematics majors, it is also for students in engineering and the sciences.

This book studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole, it mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences.

Differential geometry provides the perfect transition course to higher math- ematics and its applications. Suppose a robot arm with three fingers at its end is to move and grasp an object. It is a subject which allows students to see mathematics for what it is - not the compartmentalized courses of a stan- dard university curriculum, but a unified whole mixing together geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and various notions from the sciences. How should a path be programmed for the "hand" so that the fingers end up in the proper "grasping" position?

Differential Geometry and Its Applications by John Opera .

Differential Geometry and Its Applications by John Opera, Elements of Differential Geometry by Millman and Parker, notes on Differential Geometry by Hicks, Elementary Differential Geometry by Barrett O'Neil . Apart from the above two books, as mentioned in another answer, you could refer The Large Scale Structure of Space-Time by Hawking and Ellis.

Designed not just for the math major but for all readers of science, this book provides an introduction to the basics of the calculus of variations and optimal control theory as well as differential geometry. It then applies these essential ideas to understand various phenomena, such as soap film formation and particle motion on surfaces.

Автор: John Oprea Название: Differential Geometry and its Applications Издательство: Cambridge Academ .

The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.

Start by marking Differential Geometry and Its Applications as Want to Read .

Start by marking Differential Geometry and Its Applications as Want to Read: Want to Read savin. ant to Read. NEW - New Maple projects for calculation and visualization - Provides students with another practical side to pure math. NEW - New examples for Gauss-Bonnet.

The most downloaded articles from Differential Geometry and its Applications in the last 90 days. Poisson geometry - Open archive. Real hypersurfaces with constant ϕ-sectional curvature in complex projective space. Jong Taek Cho Makoto Kimura. You can hear the local orientability of an orbifold. Sean Richardson Elizabeth Stanhope.

Differential geometry has a long, wonderful history

Differential geometry has a long, wonderful history. It has found relevance in areas ranging from machinery design to the classification of four-manifolds to the creation of theories of nature's fundamental forces to the study of DNA. This book studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole.