The item you selected is unavailable, but we found something similar.

Picture 1 of 1

Stock photo

Plane Networks And Their Applications - Picture 1 of 1

Plane Networks and Their Applications by Kai Borre (2000, Hardcover)

Be the first towrite a review.

Prepbooks (190304)
99.7% positive feedback

Price:

$59.58

Free shipping

Estimated delivery Fri, May 10 - Mon, May 13

Returns:

30 days returns. Buyer pays for return shipping.

Condition:

Brand New

Number of Pages: 170. Weight: 1.04 lbs. Publication Date: 2000-12-21. Publisher: Birkhauser.

About this product

Product Information

Surely most geodesists have been occupied by seeking optimal shapes of a net work. I'm no exception. This book contains the more fruitful results on the topic. No matter how you choose to understand the adjective "optimal," it is no doubt useful as a beginning to understand error propagation in various types of net works. Basically, geodesists are familar with the actual, discrete network. So this book brings together some elementary means of analyzing networks with a few hundred points. The effectofchanging boundary conditions is especially studied. The variance propagation in the network is derived from covariance matrices. During a symposium in Oxford in 1973 geodesists were asking: Is it possible to create a special theory for geodetic networks? The key is that geodetic networks share a fundamental characteristic: The connections are local. Observations are taken between neighbors. The underlying graph has no edges connecting distant points. And we can obtain stable information about the global problem for the whole network by solving a simpler problem for a local neighborhood within the network. This bookalso deals with networktheory in acontinuousmode. When the num ber of points becomes very large, it is natural to look for a substitute for the dis crete method. The fruitful transition from discreteness to continuum is to let the distance between points tend to zero and at the same time boundcertain functions. A major step is to redefine the weights for all observationsas weightperunitarea.

Product Identifiers

Publisher
Birkhäuser Boston
ISBN-10
0817641939
ISBN-13
9780817641931
eBay Product ID (ePID)
1759348

Product Key Features

Author
Kai Borre
Publication Name
Plane Networks and Their Applications
Format
Hardcover
Language
English
Publication Year
2000
Type
Textbook
Number of Pages
Xiii, 170 Pages

Dimensions

Item Length
9.3in
Item Height
0.2in
Item Width
6.1in
Item Weight
34.6 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
T57-57.97
Reviews
This concise book renders an advanced exposition of the theory of error propagation in geodetic networks that are comprised of up to a few hundred nodesâ€¦ The reviewed book constitutes a timely and valuable contribution to the theory of plane geodetic network analysis and design. An outstanding feature of this book is the extensive use it makes of the nowadays easy availability of sophisticated automatic computing tools. - Mathematical Reviews|9780817641931|, a?This concise book renders an advanced exposition of the theory of error propagation in geodetic networks that are comprised of up to a few hundred nodesa? The reviewed book constitutes a timely and valuable contribution to the theory of plane geodetic network analysis and design. An outstanding feature of this book is the extensive use it makes of the nowadays easy availability of sophisticated automatic computing tools.a? a? Mathematical Reviews, "This concise book renders an advanced exposition of the theory of error propagation in geodetic networks that are comprised of up to a few hundred nodes... The reviewed book constitutes a timely and valuable contribution to the theory of plane geodetic network analysis and design. An outstanding feature of this book is the extensive use it makes of the nowadays easy availability of sophisticated automatic computing tools." -- Mathematical Reviews, "This concise book renders an advanced exposition of the theory of error propagation in geodetic networks that are comprised of up to a few hundred nodes... The reviewed book constitutes a timely and valuable contribution to the theory of plane geodetic network analysis and design. An outstanding feature of this book is the extensive use it makes of the nowadays easy availability of sophisticated automatic computing tools." -- Mathematical Reviews
Table of Content
1 Introduction.- 1.1 Description of the Discrete Model.- 1.2 Description of the Continuous Model.- 1.3 Variance Propagation.- 2 Discrete Approach.- 2.1 Motivation for the Study.- 2.2 Basic Matrix of Leveling.- 2.3 Regular Traverse.- 2.4 Varying the Boundary Conditions.- 2.5 Variance Propagation.- 2.6 Asymptotic Behavior of the Node Variance.- 2.7 On the Smoothness and Roughness of the Eigenvectors.- 2.8 Green's Formula for Plane Trigonometric Networks.- 3 Continuous Approach.- 3.1 Leveling Networks.- 3.2 Advanced Error Analysis.- 3.3 Plane Elastic Continuous Networks: A Heuristic Exposition.- 3.4 Distance Networks.- 3.5 Estimates of the Weighted Square Sum of Residuals: the Korn Inequality.- 4 Networks with Relative Observations.- 4.1 Dealing with Relative Observations.- 4.2 Fundamental Solution.- 4.3 Solution of the Boundary Value Problem.- 5 Spectrum.- 5.1 Spectral Density of the Discrete Laplacian.- 5.2 Spectral Distribution Function N(?).- 5.3 Additional Remarks on the Spectral Properties of Geodetic Networks.- 6 Simple Applications.- 6.1 Stiffness Matrix in Practice.- 6.2 Displacement Functions given a Priori.- 6.3 Merging of Digitized Maps.- 6.4 Interpolation of Discrete Vector Field: Cubic Splines.- Author Index.
Copyright Date
2001
Topic
Physics / Geophysics, Differential Equations / General, General, Applied
Lccn
00-048662
Dewey Decimal
516.3/62
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Science, Mathematics

All listings for this product

item 1 Plane Networks And Their Applications
$59.58
Free shipping
item 2 Plane Networks and Their Applications by Kai Borre (English) Hardcover Book
$73.49
Free shipping

Best Selling in Textbooks

See all

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Textbooks

Desk Reference to the Diagnostic Criteria from DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)
5.0 out of 5 stars based on 7 product ratings
$12.18 New
$11.50 Used
Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)
4.6 out of 5 stars based on 15 product ratings
$35.70 New
$34.00 Used
Self Heal by Design : The Role of Micro-organisms for Health by Barbara O'Neill (2018, Trade Paperback)
5.0 out of 5 stars based on 14 product ratings
$29.99 New
---- Used
Leadership : Theory and Practice by Peter G. Northouse (2021, Trade Paperback, Revised edition)
5.0 out of 5 stars based on 1 product rating
$19.98 New
$10.00 Used
Research Design : Qualitative, Quantitative, and Mixed Methods Approaches by J. David Creswell and John W. Creswell (2022, Trade Paperback)
4.2 out of 5 stars based on 5 product ratings
$21.00 New
$18.00 Used
Diagnostic and Statistical Manual of Mental Disorders : DSM-5-TR by American Psychiatric Association (2022, Hardcover)
4.9 out of 5 stars based on 8 product ratings
$41.45 New
$38.99 Used
Designing Data-Intensive Applications : The Big Ideas Behind Reliable, Scalable, and Maintainable Systems by Martin Kleppmann (2017, Trade Paperback)
4.9 out of 5 stars based on 17 product ratings
$18.25 New
$15.86 Used

Save on Textbooks

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Save on Textbooks

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR Brand new
$32.00
Trending at $42.75
Designing Data-Intensive Applications : The Big Ideas Behind Reliable Brand New
$15.00
Trending at $18.95
International Building Code IBC 2021, Paperback International Code Council
$55.00
Trending at $66.98
International Residential Code for One and Two-Family Dwellings 2021 free ship
$58.00
Trending at $70.98
The Pragmatic Programmer : Your Journey to Mastery 20th Anniversary Edition
$25.00
Trending at $25.95
National Electrical Code (NEC) NFPA 70 2020 Edition Spiral USA STOCK
$33.90
Trending at $36.40

Shop by category

Picture 1 of 1

Plane Networks and Their Applications by Kai Borre (2000, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Plane Networks And Their Applications

item 2 Plane Networks and Their Applications by Kai Borre (English) Hardcover Book

Best Selling in Textbooks

Desk Reference to the Diagnostic Criteria from DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

Self Heal by Design : The Role of Micro-organisms for Health by Barbara O'Neill (2018, Trade Paperback)

Leadership : Theory and Practice by Peter G. Northouse (2021, Trade Paperback, Revised edition)

Research Design : Qualitative, Quantitative, and Mixed Methods Approaches by J. David Creswell and John W. Creswell (2022, Trade Paperback)

Diagnostic and Statistical Manual of Mental Disorders : DSM-5-TR by American Psychiatric Association (2022, Hardcover)

Designing Data-Intensive Applications : The Big Ideas Behind Reliable, Scalable, and Maintainable Systems by Martin Kleppmann (2017, Trade Paperback)

Save on Textbooks

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR Brand new

Designing Data-Intensive Applications : The Big Ideas Behind Reliable Brand New

International Building Code IBC 2021, Paperback International Code Council

International Residential Code for One and Two-Family Dwellings 2021 free ship

The Pragmatic Programmer : Your Journey to Mastery 20th Anniversary Edition

National Electrical Code (NEC) NFPA 70 2020 Edition Spiral USA STOCK

You may also like

Networks Hardcover Textbooks

Mary Kay Andrews Fiction Hardcover Books

Kay Bratt Hardcover Illustrated Fiction Books

Kay Hooper Hardcover Illustrated Fiction Books

Nonfiction Networking Hardcovers Books in English

Hardcover Books