Map Projectionstheory And Applications / Edition 1

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $130.00
Usually ships in 1-2 business days
(Save 57%)
Other sellers (Hardcover)
  • All (6) from $130.00   
  • New (1) from $291.94   
  • Used (5) from $130.00   


About the Author: Frederick Pearson has extensive experience in teaching map projection at the Air Force Cartography School and Virginia Polytechnic Institute. He developed star charts, satellite trajectory programs, and a celestial navigation device for the Aeronautical Chart and Information Center. He is an expert in orbital analysis of satellites, and control and guidance systems. At McDonnell-Douglas, he worked on the guidance system for the space shuttle.

This text develops the plotting equations for the major map projections. The emphasis is on obtaining usable algorithms for computed aided plotting and CRT display. The problem of map projection is stated, and the basic terminology is introduced. The required fundamental mathematics is reviewed, and transformation theory is developed. Theories from differential geometry are particularized for the transformation from a sphere or spheroid as the model of the earth onto a selected plotting surface. The most current parameters to describe the figure of the earth are given. Formulas are included to calculate meridian length, parallel length, geodetic and geocentric latitude, azimuth, and distances on the sphere or spheroid. Equal area, conformal, and conventional projection transformations are derived. All result in direct transformation from geographic to cartesian coordinates. For selected projections, inverse transformations from cartesian to geographic coordinates are given. Since the avoidance of distortion is important, the theory of distortion is explored. Formulas are developed to give a quantitative estimate of linear, area, and angular distortions. Extended examples are given for several mapping problems of interest. Computer applications, and efficient algorithms are presented. This book is an appropriate text for a course in the mathematical aspects of mapping and cartography. Map projections are of interest to workers in many fields. Some of these are mathematicians, engineers, surveyors, geodicests, geographers, astronomers, and military intelligence analysts and strategists.

Read More Show Less

Editorial Reviews

The problem of the cartographer is to construct on plane paper a representation of the geographical facts which in reality are written onto the surface of a (distorted) sphere. Solutions are necessarily imperfect, at best merely adequate (more or less) to the specific tasks at hand. The author provides close students of the field with a detailed account of the mathematical aspects of the problem and its diversely compromised "solutions", emphasizing (especially in the ninth of his ten chapters) the role of the computer. Many figures and examples, essential references. (NW) Annotation c. Book News, Inc., Portland, OR (
Read More Show Less

Product Details

  • ISBN-13: 9780849368882
  • Publisher: CRC Press
  • Publication date: 3/1/1990
  • Edition number: 1
  • Pages: 384
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.88 (d)

Table of Contents

INTRODUCTION. Introduction to the Problem. Basic Geometric Shapes. Distortion. Scale. Feature Preserved in Projections. Projection Surface. Orientation of the Azimuthal Plane. Orientation of a Cone of Cylinder. Tangency or Secancy. Projection Technique. Plotting Equations. Plotting Tables. MATHEMATICAL FUNDAMENTALS. Coordinate Systems and Azimuth. Grid Systems. Differential Geometry of Space Curves. Differential Geometry of a General Surface. First Fundamental Form. Second Fundamental Form. Surfaces of Revolution. Developable Surfaces. Transformation Matrices. Definition of Equality of Area and Conformality. Rotation of Coordinate Systems. Convergency of the Meridians. Constant of the Cone and Slant Height. FIGURE OF THE EARTH. Geodetic Considerations. Geometry of the Elipse. The Spheroid as a Model of the Earth. The Spherical Model of the Earth. The Triaxial Ellipsoid. EQUAL AREA PROJECTIONS. General Procedures. The Authalic Sphere. Albers, One Standard Parallel. Albers, Two Standard Parallels. Bonne. Azimuthal. Cylindrical. Sinusoidal. Mollweide. Parabolic. Hammer-Aitoff. Boggs Eumorphic. Eckert IV. Interrupted Projections. CONFORMAL PROJECTIONS. General Procedures. Conformal Sphere. Lambert Conformal, One Standard Parallel. Lambert Conformal, Two Standard Parallels. Stereographic. Mercator. State Plane Coordinates. Military Grid Systems. CONVENTIONAL PROJECTIONS. Summary of Procedures. Gnomonic. Azimuthal Equidistant. Orthographic. Simple Conic, One Standard Parallel. Simple Conic, Two Standard Parallels. Conical Perspective. Polyconic. Perspective Cylindrical. Plate Carree'. Carte Parallelogrammatique. Miller. Globular. Aerial Perspective. Van der Grinten. Cassini. Robinson. THEORY OF DISTORTIONS. Qualitative View of Distortion. Quantization of Distortion. Distortions from Euclidean Geometry. Distortions from Different Geometry. Distortions in Equal Area Projections. Distortions in Conventional Projections. MAPPING APPLICATIONS. Map Projections in the Southern Hemisphere. Distortion in the Transformation from the Spheroid to the Authalic Sphere. Distances on the Loxodrome. Tracking System Displays. Differential Distances about a Position. COMPUTER APPLICATIONS. Direct Transformation Subroutines. Inverse Transformation Subroutines. Calling Program for Subroutines. State Plane Coordinates. UTM Grids. Computer Graphics. USES OF MAP PROJECTIONS. Fidelity to Features on the Earth. Characteristics of Parallels and Meridians. Considerations in the Choice of a Projection. Recommended Areas of Coverage. Recommended Set of Map Projections. Conclusion.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)