Applied Optimization formulation and Algorithms for Engineering Systems

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The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems so that they can be solved by existing software. It examines various types of numerical problems and develops techniques for solving them. A number of engineering case studies are used to illustrate in detail the formulation process. The case studies motivate the development of efficient algorithms that involve, in some cases, transformation of the problem from its initial formulation into a more tractable form.

Numbers and Functions: Theory, Formulation, and Python Codes (1版)

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【簡介】 This unique volume covers two fundamental elements of computational methods - numbers and functions. It provides an in-depth discussion of the behaviors of numbers, including both real and complex numbers. The discussion leads to the important closure properties of numbers, ensuring solution consistence and existence, and also possible failure in numerical computations in science and engineering. This text then introduces types of functions that take numbers as independent variables and produce a single number. Approaches for constructing inverse functions are also provided. Frequently used basis functions are introduced, with detailed studies on their properties and behaviors. Techniques are presented for constructing basis functions and their use in function approximation in computational methods. 【目錄】

INTRODUCTION TO COSMETIC FORMULATION AND TECHNOLOGY, SECOND EDITION (2版)

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DESCRIPTION Introduction to Cosmetic Formulation and Technology An accessible and practical review of cosmetics and OTC drug-cosmetic products In the newly revised second edition of Introduction to Cosmetic Formulation and Technology, veteran educator and researcher Dr. Gabriella Baki delivers a comprehensive discussion of cosmetics and personal care products, including coverage of basic concepts, ingredient selection, formulation technology, and testing. The book offers a clear and easy-to-understand review of cosmetics and over the counter (OTC) drug-cosmetic products available in the United States. In this latest edition, the author expands on general concepts and adds brand-new chapters on the basics of cosmetics testing, ingredients, and skin lightening products. Each chapter includes a summary of common abbreviations with questions provided online, alongside a solutions manual for instructors. Readers will also find: A thorough introduction to the basic definitions, claims, and classifications of cosmetics and OTC drug-cosmetic products Comprehensive explorations of the current rules and regulations for cosmetics and OTC drug-cosmetic products in the United States and European Union Detailed review of cosmetic ingredients, functions, and typical uses both in a dedicated a chapter and included within various others Practical coverage of good manufacturing practices for cosmetics, including documentation, buildings and facilities, equipment, and personnel Fulsome review of a variety of skin and hair care products, color cosmetics, and other personal care products Perfect for undergraduate and graduate students studying cosmetic science in chemistry, chemical engineering, pharmaceutical, biomedical, and biology departments, Introduction to Cosmetic Formulation and Technology will also benefit cosmetic chemists, cosmetic product formulators, cosmetic scientists, quality control managers, cosmetic testing specialists, and technicians.