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Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters. The ba...

The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ('Fq12') at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in this volume include cryptography, coding theory, structure of finite fields, algorithms, curves over...

Features step-by-step examples based on actual data and connects fundamental mathematical modeling skills and decision making concepts to everyday applicability Featuring key linear programming, matrix, and probability concepts, Finite Mathematics: Models and Applications emphasizes cross-disciplinary applications that relate mathematics to everyday life. The book provides a unique combination of practical mathematical applications to illustrate the wide use of mathematics in fields ranging fro...

Now in its Ninth Edition, this text once again lives up to its reputation as a clearly written, comprehensive finite mathematics book. In an engaging and accessible style, this book demonstrates how mathematics applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences. The new edition also features a new full color design and improved goal-oriented pedagogy to further facilitate understanding. Now, Available...

This text is designed for a one-term course in mathematics taken by students on business, economics, life sciences and social sciences courses. Parts One (probability) and Two (linear maths) are independent of each other, enabling either to be studied first. Part Three further develops the core topics and introduces many applications of finite maths. Throughout, emphasis is placed on developing and testing the student's problem-solving ability. An example or exercise that is not strictly mathema...

This book offers an in-depth presentation of the finite element method, aimed at engineers, students and researchers in applied sciences.The description of the method is presented in such a way as to be usable in any domain of application. The level of mathematical expertise required is limited to differential and matrix calculus.The various stages necessary for the implementation of the method are clearly identified, with a chapter given over to each one: approximation, construction of the inte...

This book explores a new, economically viable approach to pressure vessel design, included in the (harmonized) standard EN 13445 (for unfired pressure vessels) and based on linear as well as non-linear Finite Element analyses. It is intended as a supporting reference of this standard's route, providing background information on the underlying principles, basic ideas, presuppositions, and new notions. Examples are included to familiarize readers with this approach, to highlight problems and solu...

Coupling the best of traditional coverage with modern tools, market-leading FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Ninth Edition, applies math to your world. It delivers just the right balance of applications, pedagogy, and technology to help you succeed in the course. Teaching by application, the text is packed with real-life examples that motivate and enlighten you. Its intuitive approach introduces abstract concepts through examples drawn from common experiences to...