Mathematics for Enzyme Reaction Kinetics and Reactor Performance


indgår i serie Enzyme Reaction Engineering

Mathematics for Enzyme Reaction Kinetics and Reactor Performance
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Channel happiness and find your purpose with stories from the world's leading minds Work is Love Made Visible offers the insights of some of the world's greatest thought leaders as they tackle one of life's most difficult treasure hunts: finding purpose. The word "purpose" is big. Very big. And heavy. It carries the weight of a lifetime of work and struggle; the weight of legacy, and the mass of days spent not doing something else. It's something we all grapple with at some point-some of us find our purpose, others spend a lifetime searching. A lucky few grow to realize they've been working their purpose all along. Most of us aren't quite that lucky; often, fulfilling your purpose requires some kind of change-career, lifestyle, habits, family-and what then? Are we selfish for the upheaval, or are we fulfilling destiny? Once we know our purpose, how do we pursue it? This book asked those very questions of people who have followed their purpose and succeeded on a global scale. Their un-distilled answers are here, lending you the wisdom of their experiences, their examples, inspiration, and motivations as they: Tackle the universal struggle with individual purpose and meaningIllustrate how personal thought patterns contribute to real-world actionMove challenges into the opportunities of their lives Reveal how they arrived at their life's purpose, and what they sacrificed to get there We all want a meaningful life. We want to work together for a brighter future, we want to celebrate our differences and commit to good. We want to inspire others, nurture their talents, and help them grow. We want to look back one day on a life well-lived, and leave something behind that matters to the world. Work is Love Made Visible shows you how some of us have succeeded, and offers you insight and guidance so that you can do the same.Mathematics for Enzyme Reaction Kinetics and Reactor Performance is the first set in a unique 11 volume-collection on Enzyme Reactor Engineering. This two volume-set relates specifically to the wide mathematical background required for systematic and rational simulation of both reaction kinetics and reactor performance; and to fully understand and capitalize on the modelling concepts developed. It accordingly reviews basic and useful concepts of Algebra (first volume), and Calculus and Statistics (second volume). A brief overview of such native algebraic entities as scalars, vectors, matrices and determinants constitutes the starting point of the first volume; the major features of germane functions are then addressed. Vector operations ensue, followed by calculation of determinants. Finally, exact methods for solution of selected algebraic equations - including sets of linear equations, are considered, as well as numerical methods for utilization at large. The second volume begins with an introduction to basic concepts in calculus, i.e. limits, derivatives, integrals and differential equations; limits, along with continuity, are further expanded afterwards, covering uni- and multivariate cases, as well as classical theorems. After recovering the concept of differential and applying it to generate (regular and partial) derivatives, the most important rules of differentiation of functions, in explicit, implicit and parametric form, are retrieved - together with the nuclear theorems supporting simpler manipulation thereof. The book then tackles strategies to optimize uni- and multivariate functions, before addressing integrals in both indefinite and definite forms. Next, the book touches on the methods of solution of differential equations for practical applications, followed by analytical geometry and vector calculus. Brief coverage of statistics-including continuous probability functions, statistical descriptors and statistical hypothesis testing, brings the second volume to a close.

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