Geodesy : the concepts /: the concepts. (1986)

• Record Type: Book
• Further Information: Note: Petr Vaníček, Edward J. Krakiwsky.
• Authors: Vaníček, Petr; Krakiwsky, Edward J, 1938-
• Contents: Front Cover; Geodesy: The Concepts; Copyright Page; Dedication; FOREWORD; FOREWORD TO THE SECOND EDITION; Table of Contents; PART I: INTRODUCTION; CHAPTER 1. HISTORY OF GEODESY; 1.1. Historical beginnings of geodesy; 1.2. Scientific beginnings of geodesy; 1.3. Geodesy in the service of mapping; 1.4. Geodesy of the modern era; CHAPTER 2. GEODESY AND OTHER DISCIPLINES; 2.1. Applications of geodesy; 2.2. Symbiotic relation between geodesy and some other sciences; 2.3. Theoretical basis of geodesy; CHAPTER 3. MATHEMATICS AND GEODESY; 3.1. Algebra; 3.2. Analysis; 3.3. Geometry; 3.4. Statistics CHAPTER 4. STRUCTURE OF GEODESY4.1. Functions of geodesy; 4.2. Geodetic theory; 4.3. Geodetic practice; 4.4. Geodetic profession; REFERENCES; PART II: THE EARTH; CHAPTER 5. EARTH AND ITS MOTIONS; 5.1. Earth's annual motion; 5.2. Earth's spin, precession, and nutation; 5.3. Earth's free nutation; 5.4. Observed polar motion and spin velocity variations; CHAPTER 6. EARTH AND ITS GRAVITY FIELD; 6.1. Gravity field; 6.2. Gravity anomaly; 6.3. Gravity potential; 6.4. Geoid and deflections of the vertical; CHAPTER 7. EARTH AND ITS SIZE AND SHAPE; 7.1. Actual shape of the earth 7.2. Geoid as a figure of the earth7.3. Biaxial ellipsoid as a figure of the earth; 7.4. Other mathematical figures of the earth; CHAPTER 8. EARTH AND ITS DEFORMATIONS IN TIME; 8.1. Tidal phenomena; 8.2. Crustal loading deformations; 8.3. Tectonic deformations; 8.4. Man-made and other deformations; CHAPTER 9. EARTH AND ITS ATMOSPHERE; 9.1. Some physical properties of the atmosphere; 9.2. Wave propagation through the atmosphere and water; 9.3. Temporal variations of the atmosphere; 9.4. Gravitational field of the atmosphere; REFERENCES; PART III: METHODOLOGY CHAPTER 10. ELEMENTS OF GEODETIC METHODOLOGY10.1. General procedure; 10.2. Formulation of the mathematical model; 10.3. Observables and their properties; 10.4. Vector of observables; CHAPTER 11. CLASSES OF MATHEMATICAL MODELS; 11.1. Classification of models; 11.2. Models with a unique solution; 11.3. Models with an underdetermined solution; 11.4. Models with an overdetermined solution; CHAPTER 12. LEAST-SQUARES SOLUTION OF OVERDETERMINED MODELS; 12.1. Formulation of the least-squares problem; 12.2. Solution of the least-squares problem; 12.3. Covariance matrices of the results CHAPTER 13. ASSESSMENT OF RESULTS13.1. Hilert space and statistics; 13.2. Statistical testing; 13.3. Assessment of observations of one observable; 13.4. Simultaneous assessment of observations and mathematical models; 13.5. Assessment of the determined parameters; CHAPTER 14. FORMULATION AND SOLVING OF PROBLEMS; 14.1. Optimal accuracy design; 14.2. Analysis of trend; 14.3. Adjustment of observations; 14.4. Problems with a priori knowledge about the parameters; 14.5. Problems with constraints and singularities; 14.6. Step-by-step procedures in dynamic and static problems; REFERENCES
• Edition: Second edition
• Publisher Details: Amsterdam, Netherlands : North-Holland
• Publication Date: 1986
• Copyright Date: 1986
• Extent: 1 online resource (714 pages), illustrations, maps
• Subjects: 526/.1; Geodesy; SCIENCE / Earth Sciences / Geography; TECHNOLOGY & ENGINEERING / Cartography; Geodesy; Geodesy; Electronic books; Electronic books
• Languages: English
• ISBNs: 9781483290799; 1483290794
• Related ISBNs: 9780444877758
• Notes: Note: Includes bibliographical references and indexes.; Note: Description based on print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.