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Advances In Number Theory And Applied Analysis

2023-05-08 Mathematics
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Release : 2023-05-08
Genre : Mathematics
Kind : eBook
Book Rating : 611/5 ( reviews)

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Book Synopsis Advances In Number Theory And Applied Analysis by : Pradip Debnath

Download or read book Advances In Number Theory And Applied Analysis written by Pradip Debnath. This book was released on 2023-05-08. Available in PDF, EPUB and Kindle. Book excerpt: Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.

Applied Number Theory

2015-09-01 Mathematics
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Release : 2015-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 216/5 ( reviews)

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Book Synopsis Applied Number Theory by : Harald Niederreiter

Download or read book Applied Number Theory written by Harald Niederreiter. This book was released on 2015-09-01. Available in PDF, EPUB and Kindle. Book excerpt: This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas. Number theory, which Carl-Friedrich Gauss famously dubbed the queen of mathematics, has always been considered a very beautiful field of mathematics, producing lovely results and elegant proofs. While only very few real-life applications were known in the past, today number theory can be found in everyday life: in supermarket bar code scanners, in our cars’ GPS systems, in online banking, etc. Starting with a brief introductory course on number theory in Chapter 1, which makes the book more accessible for undergraduates, the authors describe the four main application areas in Chapters 2-5 and offer a glimpse of advanced results that are presented without proofs and require more advanced mathematical skills. In the last chapter they review several further applications of number theory, ranging from check-digit systems to quantum computation and the organization of raster-graphics memory. Upper-level undergraduates, graduates and researchers in the field of number theory will find this book to be a valuable resource.

Advances in Mathematics and Applications

2018-09-07 Mathematics
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Release : 2018-09-07
Genre : Mathematics
Kind : eBook
Book Rating : 155/5 ( reviews)

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Book Synopsis Advances in Mathematics and Applications by : Carlile Lavor

Download or read book Advances in Mathematics and Applications written by Carlile Lavor. This book was released on 2018-09-07. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America. Written by senior professors at the IMECC, it covers topics in pure and applied mathematics and statistics ranging from differential geometry, dynamical systems, Lie groups, and partial differential equations to computational optimization, mathematical physics, stochastic process, time series, and more. A report on the challenges and opportunities of research in applied mathematics - a highly active field of research in the country - and highlights of the Institute since its foundation in 1968 completes this historical volume, which is unveiled in the same year that the International Mathematical Union (IMU) names Brazil as a member of the Group V of countries with the most relevant contributions in mathematics.

Pocket Book of Integrals and Mathematical Formulas

1999-07-29 Mathematics
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Release : 1999-07-29
Genre : Mathematics
Kind : eBook
Book Rating : 995/5 ( reviews)

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Book Synopsis Pocket Book of Integrals and Mathematical Formulas by : Ronald J. Tallarida

Download or read book Pocket Book of Integrals and Mathematical Formulas written by Ronald J. Tallarida. This book was released on 1999-07-29. Available in PDF, EPUB and Kindle. Book excerpt: Pocket Book of Integrals and Mathematical Formulas, a revision of a very successful pocket book, provides a handy desk-top reference for engineers and scientists seeking essential formulas, concepts, and definitions. Topics range from pre-calculus to vector analysis and from Fourier transforms to statistics. This third edition contains: A

Mathematical Methods for the Natural and Engineering Sciences

2004 Technology & Engineering
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Release : 2004
Genre : Technology & Engineering
Kind : eBook
Book Rating : 509/5 ( reviews)

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Book Synopsis Mathematical Methods for the Natural and Engineering Sciences by : Ronald E. Mickens

Download or read book Mathematical Methods for the Natural and Engineering Sciences written by Ronald E. Mickens. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

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