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New Frontiers In Number Theory And Applications


New Frontiers In Number Theory And Applications
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New Frontiers In Number Theory And Applications


New Frontiers In Number Theory And Applications
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Author : Jordi Guàrdia
language : en
Publisher: Springer Nature
Release Date : 2024-05-27

New Frontiers In Number Theory And Applications written by Jordi Guàrdia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-27 with Mathematics categories.


This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering authors from over seven countries, readers will gain an international perspective on the current state of research as well as potential avenues to explore. Specific topics covered include: Algebraic Number Theory Elliptic curves and Cryptography Hopf Galois theory Analytic and elementary number theory and applications New Frontiers in Number Theory and Applications will appeal to researchers interested in gaining a global view of current research in number theory.



Introduction To Number Theory


Introduction To Number Theory
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Author : Richard Michael Hill
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-12-04

Introduction To Number Theory written by Richard Michael Hill and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Mathematics categories.


'Probably its most significant distinguishing feature is that this book is more algebraically oriented than most undergraduate number theory texts.'MAA ReviewsIntroduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers.The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions.Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics.



A Classical Introduction To Modern Number Theory


A Classical Introduction To Modern Number Theory
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Author : Kenneth Ireland
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

A Classical Introduction To Modern Number Theory written by Kenneth Ireland and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.



Elementary Number Theory With Applications


Elementary Number Theory With Applications
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Author : Thomas Koshy
language : en
Publisher: Elsevier
Release Date : 2007-05-08

Elementary Number Theory With Applications written by Thomas Koshy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Mathematics categories.


This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East



Mass Action Law Dynamics Theory And Algorithm For Translational And Precision Medicine Informatics


Mass Action Law Dynamics Theory And Algorithm For Translational And Precision Medicine Informatics
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Author : Ting-Chao Chou
language : en
Publisher: Elsevier
Release Date : 2024-04-09

Mass Action Law Dynamics Theory And Algorithm For Translational And Precision Medicine Informatics written by Ting-Chao Chou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-09 with Science categories.


"Mass-Action Law Dynamics Theory and Algorithm for Translational and Precision Medicine Informatics provides a comprehensive overview and update of the mass-action law-based unified dose-effect biodynamics, pharmacodynamics, bioinformatics, and the combination index theorem for synergy definition (MAL-BD/PD/BI/CI). Contents advocate the fundamental MAL-PD/BI/CI/BI principle for biomedical R&D, clinical trials protocol design computerized data analysis, illustrates the MAL-dynamics theory with sample analysis, and includes data entry and automated computer report print-outs. In 11 sections "Mass-Action Law Dynamics Theory and Algorithm for Translational and Precision Medicine Informatics leads the reader from an introduction and overview, to trial protocols and MAL-PD/CI approach for biomedical R&D in vitro and in animals. It describes the current Landscape of International FDA Drug Evaluation, Clinical Pharmacology, and Clinical Trials Guidance. This is a valuable resource for biomedical researchers, healthcare professionals, and students seeking to harness the power of data informatics in precision medicine.• gives insight into that index equation (DRIE) that digitally determines how many folds of dose-reduction is needed for each drug in synergistic combinations • provides a comprehensive overview and update of mass-action law-based unified bioinformatics, dose effect biodynamics, pharmacodynamics, and the combination index theorem for synergy definition (MAL-BD/PD/BI/CI) • describes how the MAL theory/algorithm-based "Top-Down digital approach is the opposite and yet is a complementary alternative to the observation/statistics-based "Bottom-Up traditional approach in R&D



New Frontiers In Nanochemistry Concepts Theories And Trends 3 Volume Set


New Frontiers In Nanochemistry Concepts Theories And Trends 3 Volume Set
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Author : Mihai V. Putz
language : en
Publisher: CRC Press
Release Date : 2022-05-29

New Frontiers In Nanochemistry Concepts Theories And Trends 3 Volume Set written by Mihai V. Putz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-29 with Science categories.


New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set explains and explores the important fundamental and advanced modern concepts from various areas of nanochemistry and, more broadly, the nanosciences. This innovative and one-of-a kind set consists of three volumes that focus on structural nanochemistry, topological nanochemistry, and sustainable nanochemistry respectively, collectively forming an explicative handbook in nanochemistry. The compilation provides a rich resource that is both thorough and accessible, encompassing the core concepts of multiple areas of nanochemistry. It also explores the content through a trans-disciplinary lens, integrating the basic and advanced modern concepts in nanochemistry with various examples, applications, issues, tools, algorithms, and even historical notes on the important people from physical, quantum, theoretical, mathematical, and even biological chemistry.



New Frontiers In Computational Intelligence And Its Applications


New Frontiers In Computational Intelligence And Its Applications
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Author : Masoud Mohammadian
language : en
Publisher: IOS Press
Release Date : 2000

New Frontiers In Computational Intelligence And Its Applications written by Masoud Mohammadian and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.


Computational Intelligence is a broad and active research area that is growing rapidly due to the many successful applications of these new techniques in very diverse problems. Many industries have benefited from adopting this technology. The increased number of patents and diverse range of products developed using computational intelligence methods is evidence of this fact. The goal of this book is to provide highlights of the current research in computational intelligence area. The book consists of research papers in the fields of neural networks, fuzzy logic, evolutionary computing, hybrid evolutionary computing-fuzzy logic systems, hybrid neural networks-evolutionary computing and fuzzy logic systems, image processing and vision, advances in robotics, control and manufacturing, and rough sets.



Basics Of Representation Theory


Basics Of Representation Theory
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Author : Udayan Bhattacharya
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Basics Of Representation Theory written by Udayan Bhattacharya and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


Delve into the captivating world of "Basics of Representation Theory," a comprehensive guide designed for students, researchers, and enthusiasts eager to explore the intricate symmetries and structures that underpin modern mathematics. Our book offers a detailed introduction to foundational concepts, providing a solid understanding of group actions, linear representations, and character theory. From there, it explores the algebraic structures of irreducible representations, breaking down the decomposition into irreducible components and examining the properties of characters. Readers will journey through diverse topics, including the representation theory of symmetric groups, Lie groups, and algebraic groups, as well as advanced topics such as the representation theory of finite groups, the Langlands program, and applications in quantum mechanics and number theory. With a wealth of examples, illustrations, and exercises, "Basics of Representation Theory" ensures a hands-on approach to learning, encouraging practical exploration and problem-solving. The book also includes numerous references and further reading suggestions for those who wish to delve deeper into specific topics. Written in a clear and accessible style, this book caters to all levels, from undergraduate students encountering representation theory for the first time to experienced researchers seeking fresh insights. With its comprehensive coverage and diverse applications, "Basics of Representation Theory" is an invaluable resource for anyone interested in the beauty and depth of this field.



The Amplitude Of Algebra


The Amplitude Of Algebra
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-16

The Amplitude Of Algebra written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-16 with Mathematics categories.


Step into the world of algebra and unlock the power of mathematical problem-solving with "The Amplitude of Algebra: A Comprehensive Guide for American Readers." This captivating guide takes you on a journey through the fundamental concepts of algebra, empowering you to tackle real-world challenges with confidence. Written in a clear and engaging style, this book is designed to make algebra accessible to everyone, regardless of their mathematical background. With its step-by-step approach, you'll master the basics of equations, functions, and inequalities, and delve into more advanced topics such as sequences, series, and polynomials. "The Amplitude of Algebra" is more than just a textbook; it's an exploration of the beauty and elegance of mathematics. Discover the intricate patterns and relationships that govern the universe, and see how algebra has been used throughout history to solve complex problems and make groundbreaking discoveries. Whether you're a student seeking to excel in algebra class, a professional looking to enhance your problem-solving skills, or simply a curious mind eager to understand the world around you, this book is your ultimate guide. It's packed with real-world examples, engaging exercises, and thought-provoking insights that will deepen your understanding of algebra and its applications. With "The Amplitude of Algebra," you'll unlock the secrets of the universe, one equation at a time. Join us on this algebraic adventure and experience the joy of solving problems, making informed decisions, and unlocking the mysteries of mathematics. If you like this book, write a review!



Mastering Discrete Mathematics


Mastering Discrete Mathematics
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Author : Gautami Devar
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Mastering Discrete Mathematics written by Gautami Devar and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


"Mastering Discrete Mathematics" is a comprehensive and accessible resource designed to provide readers with a thorough understanding of the fundamental concepts, techniques, and applications of discrete mathematics. Written for students, educators, researchers, and practitioners, we offer a detailed overview of discrete mathematics, a field that deals with countable, distinct objects and structures. We cover a wide range of topics, including sets, logic, proof techniques, combinatorics, graph theory, recurrence relations, and generating functions. Our clear and concise language makes complex mathematical concepts accessible to readers with varying levels of mathematical background. Each concept is illustrated with examples and applications to demonstrate its relevance and practical significance in various domains. Emphasizing the practical applications of discrete mathematics, we explore its use in computer science, cryptography, optimization, network theory, and other scientific disciplines. Each chapter includes exercises and problems to reinforce learning, test understanding, and encourage further exploration of the material. Additional resources, including supplementary materials, interactive exercises, and solutions to selected problems, are available online to complement the book and facilitate self-study and review. Whether you are a student looking to gain a solid foundation in discrete mathematics, an educator seeking to enhance your teaching materials, or a practitioner interested in applying discrete mathematics techniques to real-world problems, "Mastering Discrete Mathematics" offers valuable insights and resources to support your learning and exploration of this fascinating field.