Linear Algebra, Geodesy, and Gps [Hardcover]

K. Borre Gilbert Strang (Author)

Book Description

ISBN-10: 0961408863 | ISBN-13: 978-0961408862 | Publication Date: October 1, 1997

Linear Algebra, Geodesy and GPS discusses algorithms, generally expressed in MATLAB, for geodesy and global positioning. Three parts cover basic linear algebra, the application to the (linear and also nonlinear) science of measurement, and the GPS system and its applications. This book has many strengths. It offers a variety of points of view. It is complete, helpful, and you may find an explanation that appeals to you. .A popular article from (June 1997) "The Mathematics of GPS" is included as an introduction. Annotation c. by Book News, Inc., Portland, Or.

Part I: Linear Algebra. Chapter 1: Vectors and Matrices; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations. Part II: Geodesy. Chapter 8: Leveling Networks; Chapter 9: Random Variables and Covariance Matrices; Chapter 10: Nonlinear Problems; Chapter 11: Linear Algebra for Weighted Least Squares; Chapter 12: Constraints for Singular Normal Equations; Chapter 13: Problems with Explicit Solutions. Part III: Global Positioning System (GPS). Chapter 14: Global Positioning System; Chapter 15: Processing of GPS Data; Chapter 16: Random Processes; Chapter 17: Kalman Filters.

Editorial Reviews

About the Author

Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College, of the University of Oxford, UK. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled “An Analysis of the Finite Element Method.” Professor Strang served as SIAM’s president from 1999-2000, chaired the US National Committee on Mathematics from 2003–2004, and won the Neumann Medal of the US Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences.

Product Details

• Hardcover: 624 pages
• Publisher: Wellesley College (October 1, 1997)
• Language: English
• ISBN-10: 0961408863
• ISBN-13: 978-0961408862
• Product Dimensions: 9.9 x 7 x 1.3 inches
• Shipping Weight: 2.6 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
• Amazon Best Sellers Rank: #201,401 in Books (See Top 100 in Books)

More About the Author

Gilbert Strang is Professor of Mathematics at the Massachusetts Institute of Technology and an Honorary Fellow of Balliol College. He was an undergraduate at MIT and a Rhodes Scholar at Oxford. His doctorate was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. Professor Strang has published a monograph with George Fix, "An Analysis of the Finite Element Method", and has authored six widely used textbooks. He served as President of SIAM during 1999 and 2000 and he is Chair of the U.S. National Committee on Mathematics for 2003-2004.

Customer Reviews

Most Helpful Customer Reviews

33 of 33 people found the following review helpful:

5.0 out of 5 stars Strang and Borre's 'LINEAR ALGEBRA, GEODESY AND GPS', January 19, 2000

By 

Mike Bevis (University of Hawaii, Honolulu) - See all my reviews

This review is from: Linear Algebra, Geodesy, and Gps (Hardcover)

This is an interesting, gently accelerating and useful book on geodesy and GPS that concentrates on space geodetic concepts and algorithms and on the underlying linear algebra. It uses MATLAB, the language of choice for many numerical linear algebraists, to provide sample codes. Many of these codes are of practical utility. This book combines Strang's applied math focus and inimitable writing style (I love it) with Borre's extensive knowledge of physical and geometrical geodesy. Highly recommended!

7 of 8 people found the following review helpful:

5.0 out of 5 stars strang interprets the meaning of the math, August 7, 2008

By 

Christopher L. Marshall - See all my reviews
(REAL NAME)   

This review is from: Linear Algebra, Geodesy, and Gps (Hardcover)

I am an engineer with an interest in math.

What strikes me about Gilbert Strang's writing on math is the running commentary he provides on what the math means. When introducing the concept of a vector, for example, he points out that vectors a result of the insight that "you can't add apples to oranges."

He is very strong on visualizing what is going in his proofs and spends many pages pointing out interpretative details that are simple to explain to a reader but hard for a reader to figure out on their own. Those details are rarely found in other math books. I think part of the problem is that most math books are written for people who have a natural talent for math and few are written for technically oriented people that are interested but not especially talented.

It is a shame that his style of writing is not more commonly found in math books.

5.0 out of 5 stars There is a new version of this book coming out..., July 25, 2010

By 

calvinnme - See all my reviews
(HALL OF FAME REVIEWER)    (VINE VOICE)    (TOP 50 REVIEWER)   

This review is from: Linear Algebra, Geodesy, and Gps (Hardcover)

... so don't be so quick to hand a ridiculous sum of money over to scalpers. The title of the book is "Algorithms for Global Positioning" and it already has an ISBN number: 978-0-0982327-2-8. It is by the same two authors as the original and will be available shortly. Wait for that book and then you can hand your money over to the actual authors of the book, not opportunists.