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ANALYTICAL CHEMISTRY

World Scientific Series on Probability Theory and Its Applications - Vol 3

INTRODUCTION TO PROBABILITY THEORY

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A First Course on the Measure-Theoretic Approach

by Nima Moshayedi (University of California, Berkeley, USA) This book provides a first introduction to the methods of probability theory by using the modern and rigorous techniques of measure theory and functional analysis. It is geared for undergraduate students, mainly in mathematics and physics majors, but also for students from other subject areas such as economics, finance and engineering. It is an invaluable source, either for a parallel use to a related lecture or for its own purpose of learning it. The first part of the book gives a basic introduction to probability theory. It explains the notions of random events and random variables, probability measures, expectation values, distributions, characteristic functions, independence of random variables, as well as different types of convergence and limit theorems. The first part contains two chapters. The first chapter presents combinatorial aspects of probability theory, and the second chapter delves into the actual introduction to probability theory, which contains the modern probability language. The second part is devoted to some more sophisticated methods such as conditional expectations, martingales and Markov chains. These notions will be fairly accessible after reading the first part. Contents: Elements of Combinatorial Analysis and Simple Random Walks; The Modern Probability Language; Conditional Expectations; Martingales; Markov Chains; Appendices: Basics of Measure Theory; Basics of Integration Theory. Readership: Undergraduate students.

175pp Apr 2022 978-981-124-674-6 US$68 £60

[ CHEMISTRY ]

ANALYTICAL CHEMISTRY

DIETARY SUPPLEMENT TEST METHODS

Liquid Chromatography Separation Techniques and Application

by David (Dajing) Ji (Analytical Laboratories in Anaheim, USA) & Darryl Sullivan (Eurofins Scientific, USA)

This book describes the analytical approach to testing over 160 important dietary supplement ingredients. In addition to the methods, there is significant guidance provided on how to develop, modify, and improve testing techniques. The procedures in this book include some of the most modern technologies that are available in the laboratory today. These basic principles of method development and troubleshooting can be implemented for food and food safety testing, drug development research, and agricultural areas. The contents of this book contain a very comprehensive collection of valuable analytical tools. Contents: Liquid Chromatography Separation Techniques and Application; Vitamin and Related Nutrients Testing Methods; Sugar, Oligosaccharide and Polysaccharide Test Methods; Test Methods for Botanicals and Botanical Extracts; Other Nutritional Ingredients Test Methods. Readership: Dietary supplement manufacturer quality control laboratory and R&D department; Government regulators and research scientists; Raw materials suppliers; Academic research institutes; Independent laboratories.

500pp May 2022 978-981-124-924-2 US$158 £140

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