Reverse Engineering of Algebraic Inequalities: Exploring New Physical Realities and Optimizing Products...

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Michael T. Todinov (Oxford Brookes University, UK)

Reverse Engineering of Algebraic Inequalities

Exploring New Physical Realities and Optimizing Products and Processes

Michael T. Todinov (Oxford Brookes University, UK)

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English

CRC Press
30 December 2024

Calculus & mathematical analysis; Maths for engineers; Mechanical engineering; Computing: general; Computer science

The second edition of Reverse Engineering of Algebraic Inequalities is a comprehensively updated new edition demonstrating the exploration of new physical realities in various unrelated domains of human activity through reverse engineering of algebraic inequalities.

This book introduces a groundbreaking method for generating new knowledge in science and technology that relies on reverse engineering of algebraic inequalities. By using this knowledge, the purpose is to optimize systems and processes in diverse fields such as mechanical engineering, structural engineering, physics, electrical engineering, reliability engineering, risk management and economics. This book will provide the reader with methods to enhance the reliability of systems in total absence of knowledge about the reliabilities of the components building the systems; to develop light-weight structures with very big materials savings; to develop structures with very big load-bearing capacity; to enhance process performance and decision-making; to obtain new useful physical properties; and to correct serious flaws in the current practice for predicting system reliability.

This book will greatly benefit professionals and mathematical modelling researchers working on optimising processes and systems in diverse disciplines. It will also benefit undergraduate students introduced to mathematical modelling, post-graduate students and post-doctoral researchers working in the area of mathematical modelling, mechanical engineering, reliability engineering, structural engineering, risk management, and engineering design.

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By: Michael T. Todinov (Oxford Brookes University UK)
Imprint: CRC Press
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions: Height: 229mm, Width: 152mm,
Weight: 553g
ISBN: 9781032848563
ISBN 10: 1032848561
Pages: 196
Publication Date: 30 December 2024
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

1. Fundamental Approaches in Modelling Real Systems and Processes by Using Algebraic Inequalities. The Principle of Consistency for Algebraic Inequalities 2. Basic Algebraic Inequalities Used in Reverse Engineering and their Properties 3. Obtaining New Physical Properties by Reverse Engineering of Algebraic Inequalities 4. Light-Weight Designs and Improving the Load-Bearing Capacity of Structures by Reverse Engineering of Algebraic Inequalities 5. Reliability-Related Reverse Engineering of Algebraic Inequalities 6. Enhancing the Reliability of Series-Parallel Systems with Multiple Redundancies by Reverse Engineering of Algebraic Inequalities 7. Reverse Engineering of Algebraic Inequalities to Disprove System Reliability Predictions Based on Average Component Reliabilities 8. Reverse Engineering of the Inequality of Additive Ratios 9. Optimal Selection and Expected Time of Unsatisfied Demand by Reverse Engineering of Algebraic Inequalities 10. Enhancing Systems and Process Performance by Reverse Engineering of Algebraic Inequalities Based on Sub-Additive and Super-Additive Functions 11. Enhancing Decision-Making by Reverse Engineering of Algebraic Inequalities 12. Generating New Knowledge by Reverse Engineering of Algebraic Inequalities in Terms of Potential Energy

Michael T. Todinov is a professor of mechanical engineering at Oxford Brookes University, UK, where he teaches reliability engineering, engineering mathematics, and advanced stress analysis. He holds a PhD in mechanical engineering and a higher doctorate, equivalent to a DSc, in mathematical modeling. Prof. Todinov has pioneered innovative research in several areas, including reverse engineering of algebraic inequalities, domain-independent methods for reliability improvement, analysis and optimization of repairable flow networks, reliability analysis based on the cost of failure, and fracture statistics controlled by defects. Michael Todinov is a recipient of a prestigious award from the Institution of Mechanical Engineers (UK) for his work in risk reduction in mechanical engineering.