Because learning the language of mathematics can be daunting, many people abandon the attempt as soon as they leave school, missing out on the beauty and mystery of the Empress of the Sciences. Now, Joel Levy opens new doors into this amazing world. By taking a historical perspective, he explains how mathematical science advanced through the ages, introducing the most important concepts—from simple arithmetic, through algebra, trigonometry, geometry, and calculus, up to chaos and infinity theory—in understandable, nontechnical language.
Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others. New York Times Book Review
Moving from raw material to finished product, this book demonstrates how to solve the main process related problems that crop up in chemical engineering practice. It demonstrates the steps required to determine how much of various materials and chemicals are needed to satisfy output requirements and how to compensate for energy gained or lost for each step of the process. Presenting easy to understand methods, illustrations, worked examples, and practice problems, that are ideal for students, it provides access to a wealth of current calculations needed by chemical process professionals in petroleum/petrochemicals and biotechnology.
A revision of the market leader, Kreyszig is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, helpful worked examples, and self contained subject matter parts for maximum teaching flexibility. The new edition provides invitations not requirements to use technology, as well as new conceptual problems, and new projects that focus on writing and working in teams.
This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach wavelet signal processing courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and �colePolytechnique in Paris.
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, .