The book consists of two main parts: structural synthesis methods for a precision elastic system, including effective approximations; and the application of precision functional elastic systems at reference and operating conditions. Each part provides theoretical basics and a large variety of examples of application and recommendations for parametric and structural optimization. A handbook as well as a textbook, it gives theoretical and practical tools to researchers, instrument system designers, engineers, metrologists, and also to students of college engineering courses. Special consideration is dedicated to the theory and applications of flexible helicoids, notch flexure hinges, and perforated plates whose methods of structural synthesis need development.