Last edited by Kazrakazahn

Saturday, April 18, 2020 | History

2 edition of **Geometric integration theory.** found in the catalog.

Geometric integration theory.

Hassler Whitney

- 61 Want to read
- 23 Currently reading

Published
**1957** by Princeton University Press in Princeton .

Written in English

- Integrals, Generalized.,
- Numerical integration.

**Edition Notes**

Series | Princeton mathematical series,, 21, Princeton mathematical series ;, 21. |

Classifications | |
---|---|

LC Classifications | QA312 .W45 |

The Physical Object | |

Pagination | 387 p. |

Number of Pages | 387 |

ID Numbers | |

Open Library | OL6220647M |

LC Control Number | 57005463 |

Integral Calculus Made Easy. This book covers the following topics: Fundamental integration formulae, Integration by substitution, Integration by parts, Integration by partial fractions, Definite Integration as the limit of a sum, Properties of definite Integrals, differential equations and . The book chapter [], Chapter 3 in [], the books [, , ], and the digital geometry chapter in [] (all published before ), as well as the books [, , , , , , , , ], define digital geometry as a geometric theory of n-dimensional digital spaces (grid point or grid cell spaces); see also the article.

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Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of three parts: an introduction to classical theory, a postulational approach to general theory, and a final section that continues the general study with Lebesgue by: Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom and for self-study.

The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers. Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom and for self-study.

The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and by: This treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory.

Covers the theory of the Riemann integral; abstract integration theory; some relations between chains and functions; Lipschitz mappings; chains and additive set functions, more.

edition. Geometric measure theory uses techniques from geometry, measure the-ory, analysis, and partial diﬀerential equations. This book showcases all these methodologies, and explains the ways in which they interact.

The result is a rich symbiosis which is both rewarding and educational. The subject of geometric measure theory deserves to be known to File Size: 1MB. A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable.

This is the primary subject matter of the present book, designed to bring out the Author: Hassler Whitney. Geometric Integration Theory by Steven G. Krantz,available at Book Depository with free delivery worldwide.5/5(1).

Get this from a library. Geometric Integration Theory. [Hassler Whitney] -- A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be. Geometric Integration Theory.

Hassler Whitney. A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the.

Geometric Integration Theory. Princeton UP (). gr.8°. XV, p. OCloth. (small stain on back).- Princeton Mathematical Series, Stamp and label on flyleaf, otherwise inside in good condition. by WHITNEY, Hassler and a great selection of related books.

In the mathematical fields of differential geometry and geometric measure theory, homological integration or geometric integration is a method for extending the notion of the integral to than functions or differential forms, the integral is defined over currents on a manifold.

The theory is "homological" because currents themselves are defined by duality with differential forms. Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of three parts: an introduction to classical theory, a postulational approach to general theory, and a final section that continues the general study with Lebesgue theory.

Find many great new & used options and get the best deals for Cornerstones: Geometric Integration Theory by Steven G. Krantz and Harold R. Parks (, Hardcover) at the best online prices at eBay.

Free shipping for many products. Additional Physical Format: Online version: Whitney, Hassler. Geometric integration theory. Princeton, Princeton University Press, (OCoLC) Geometric Integration Theory.

Hassler Whitney. Hardcover ISBN: This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems. Originally published in Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for both use in the classroom and for self-study.

The exposition demands minimal background, is self-contained and accessible, and thus is ideal. The book description for "Geometric Integration Theory" is currently unavailable.

This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions Price: $ Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of three parts: an introduction to classical theory, a postulational approach to general theory, and a final section that continues the general study with Lebesgue : Dover Publications.

I don't think there is a modern "branch" of mathematics into which Whitney's book would comfortably sit. There is geometric measure theory, and there is a book by Krantz that even has the same title as Whitney's book, which I guess you've come across if you googled that, but this has quite a different flavour from Whitney's book.

To make the book self-contained, the author introduced appendices on Vector and linear spaces, Geometric and topological preliminaries, as well as Analytical preliminaries.

In short, this is a very good book (otherwise, how could it have been republished after 50 years?) that can be used as a textbook for a course on geometric integration, but. Buy Geometric Integration Theory (Cornerstones) by Steven G.

Krantz, Harold R. Parks (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(2). Book. Geometric Integration Theory Details Author(s): Hassler Whitney Publisher: Princeton University Press eISBN: Subjects: Mathematics.

(By the way, Federer originally wanted to name his book Geometric Integration Theory, but didn’t because Whitney had already written a book with the same name. Whitney’s book is relevant for those interested in geometric measure theory, and it is now available from Dover books!).

Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for both use in the classroom and for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

(source: Nielsen Book Data). This treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory.

Covers the theory of the Riemann integral; abstract integration theory; some relations between chains and functions; Lipschitz mappings; chains and additive set functions. This is a graduate textbook with the main purpose of introducing geometric measure theory through the notion of currents.

A current is defined intuitively as a differential form with coefficients that are distributions or as a continuous linear functional on a space of differential forms. Even from this very brief summary, it is obvious that there is considerable background required for a.

‘A Concise Introduction to the Theory of Integration’ was once a best-selling Birkhäuser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now includes a section about the rate of convergence of Riemann sums.

Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations. Authors (view affiliations) Ernst Hairer differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book.

A complete self-contained theory of symplectic and symmetric methods, which include. A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable.

This is the primary subject matter of the. The material of the book is organized in sections which are self-contained, so that one can dip into the book to learn a particular topic.

A person interested in geometrical numerical integration will find this book extremely useful." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. (20), ). Synopsis Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential.

Geometric Integration Theory (Dover Books on Mathematics) eBook: Whitney, Hassler: : Kindle Store/5(2). Geometric Integration Theory (with Parks, Harold R.) (Birkhauser,ISBN ) The Proof is in the Pudding: The Changing Nature of Mathematical Proof (Springer,ISBN )Alma mater: University of California at Santa.

An Introduction to Measure Theory. Terence Tao. This is a preliminary version of the book An Introduction to Measure Theory published by the American Mathematical Society (AMS). This preliminary version is made available with the permission of the AMS and may not be changed, edited, or reposted at any other website without explicit written.

The book is very understandable, requiring only a basic knowledge of analysis. It can be warmly recommended to a broad spectrum of readers, to graduate students as well as young researchers. -- EMS Newsletter.

This monograph provides a quite comprehensive presentation of measure and integration theory and of some of their applications. $\begingroup$ Federer's book is rather famous for being quite difficult and advanced.

geometric measure theory is when the focus is on things like density properties, I found Krantz and Parks "Geometric Integration Theory" a bit better organized.

Mattila is better suited if you interested in Hausdorff measure and fractals. Geometric Measure Theory. Lecturer: John Andersson [johnan [at] ] Course book: Krantz-Parks "Geometric integration Theory" Birkhäuser (The book is free to download at the KTH library webpage).

Course Description: Geometric measure theory is an advanced subject that draws from many parts of main idea is to use integration and measure theory techniques to investigate.

Idea. Geometric measure theory and geometric integration theory studies various measures of subsets of Euclidean spaces and possibly of some geometric generalizations) and their geometric properties.

Especially, one studies rectifiability of subsets of some lower dimensionality, to define notions like area, arc length etc.

and to study distributions and currents on such spaces. The geometric calculus developed in this book has the following features: a systematic development of definitions, concepts and theorems needed to apply the calculus easily and effectively to almost any branch of mathematics or physics; a formulation of integration theory based on a.

quire the basic notions of measure and integration. They include functional analysis and partial di erential equations (see e.g.

Gilbarg{Trudinger [5]), geometric measure theory, geometric group theory, ergodic theory and dy-namical systems, and di erential topology and geometry. There are many other textbooks on measure theory that cover most or.Ebooks list page: ; Functional integration theory and applications; Geometric Integration Theory; [PDF] Geometric Integration Theory (Cornerstones) - Removed; Geometric Integration Theory (Dover Books on Mathematics) free ebook download; Geometric Integration Theory; Geometric Integration Theory; .This treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory.

Covers the theory of the Riemann integral; abstract integration theory; some relations between chains and functions; Lipschitz mappings; chains and additive set functions Author: Hassler Whitney.