This comprehensive textbook covers both classical and geometric aspects of optimization using methods, deterministic and stochastic, in a single volume and in a language accessible to non-mathematicians. It will help serve as an ideal study material for senior undergraduate and graduate students in the fields of civil, mechanical, aerospace, electrical, electronics, and communication engineering. The book includes: Derivative-based Methods of Optimization. Direct Search Methods of Optimization. Basics of Riemannian Differential Geometry. Geometric Methods of Optimization using Riemannian Langevin Dynamics. Stochastic Analysis on Manifolds and Geometric Optimization Methods. This textbook comprehensively treats both classical and geometric optimization methods, including deterministic and stochastic (Monte Carlo) schemes. It offers an extensive coverage of important topics including derivative-based methods, penalty function methods, method of gradient projection, evolutionary methods, geometric search using Riemannian Langevin dynamics and stochastic dynamics on manifolds. The textbook is accompanied by online resources including MATLAB codes which are uploaded on our website. The textbook is primarily written for senior undergraduate and graduate students in all applied science and engineering disciplines and can be used as a main or supplementary text for courses on classical and geometric optimization.
Targeted at graduate students, researchers and practitioners in the field of science and engineering, this book gives a self-contained introduction to a measure-theoretic framework in laying out the definitions and basic concepts of random variables and stochastic diffusion processes. It then continues to weave into a framework of several practical tools and applications involving stochastic dynamical systems. These include tools for the numerical integration of such dynamical systems, nonlinear stochastic filtering and generalized Bayesian update theories for solving inverse problems and a new stochastic search technique for treating a broad class of non-convex optimization problems. MATLAB® codes for all the applications are uploaded on the companion website.
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Contents: Antifertility Potential of Gram- Negative Bacterial Endotoxins, Antifertility Potential of Carica Papaya in Mammalian Reproduction, Lac Insects and Their Host- Plants, Pollination Potentiality of Honeybees in Crop Production, Livestock Resources of Indian Himalayas: Present Status, Constraints and Future Thrusts, State of Coral Reefs in India, Seaweeds: Fascinating Marine Bioresources, Potentials of Molluscs, Phytomedicinal Research: Towards New Perspectives Based on Indigenous Knowledge System, Ethnomedicinal Plants of Jharkhand, Economic Benefits of the Acacia for the People of Dry Region, Bamboo The Green Glod of Northeastern India, Eco- Restoration and the Stabilisation of Degraded Minespoil and Landslides Areas, The Fourth Law of Thermodynamics in Ecologic Research, Cytochrome P450 and Other Biotransformation Activity in Aquatic Organisms: Potential Biomarkers to Environmental Pollution, Multidimensional Problem of Environmental Refugees and National Obligation, Potentials of Earthworm Resources in Environmental Amelioration, Potential Predators for Aphid Management, Soil Fauna in Sustainable Management of Agroecosystem.
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