Download or read book Number Theory Arithmetic In Shangri la Proceedings Of The 6th China japan Seminar written by Shigeru Kanemitsu and published by World Scientific. This book was released on 2013-02-20 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.
Download or read book Number Theory Plowing And Starring Through High Wave Forms Proceedings Of The 7th China japan Seminar written by Shigeru Kanemitsu and published by World Scientific. This book was released on 2015-02-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the state-of-the-art affairs in the fields of their research interests.
Download or read book Neurons A Mathematical Ignition written by Masayoshi Hata and published by World Scientific. This book was released on 2014-09-16 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of “dynamical systems”, even in a single neuron case, enables us to obtain amazingly good rational approximations to the Hecke-Mahler series with two variables. Some interesting numerical applications of our rational approximations are also discussed.This book is fundamentally self-contained and many topics required in it are explained from the beginning. Each chapter contains a number of instructive and mostly original exercises at various levels.
Download or read book Introduction To Non abelian Class Field Theory An Automorphic Forms Of Weight 1 And 2 dimensional Galois Representations written by Toyokazu Hiramatsu and published by World Scientific. This book was released on 2016-09-13 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.
Download or read book Contributions to the Theory of Zeta Functions written by Shigeru Kanemitsu and published by World Scientific. This book was released on 2014-12-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.
Download or read book Algorithms and Complexity in Mathematics Epistemology and Science written by Nicolas Fillion and published by Springer. This book was released on 2019-02-07 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: ACMES (Algorithms and Complexity in Mathematics, Epistemology, and Science) is a multidisciplinary conference series that focuses on epistemological and mathematical issues relating to computation in modern science. This volume includes a selection of papers presented at the 2015 and 2016 conferences held at Western University that provide an interdisciplinary outlook on modern applied mathematics that draws from theory and practice, and situates it in proper context. These papers come from leading mathematicians, computational scientists, and philosophers of science, and cover a broad collection of mathematical and philosophical topics, including numerical analysis and its underlying philosophy, computer algebra, reliability and uncertainty quantification, computation and complexity theory, combinatorics, error analysis, perturbation theory, experimental mathematics, scientific epistemology, and foundations of mathematics. By bringing together contributions from researchers who approach the mathematical sciences from different perspectives, the volume will further readers' understanding of the multifaceted role of mathematics in modern science, informed by the state of the art in mathematics, scientific computing, and current modeling techniques.
Download or read book Multiple Zeta Functions Multiple Polylogarithms And Their Special Values written by Jianqiang Zhao and published by World Scientific. This book was released on 2016-03-07 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research.The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter.
Download or read book Combinatorial and Additive Number Theory II written by Melvyn B. Nathanson and published by Springer. This book was released on 2018-01-13 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling.
Download or read book Problems And Solutions In Real Analysis Second Edition written by Masayoshi Hata and published by World Scientific Publishing Company. This book was released on 2016-12-12 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, differential equations and metric spaces.Each chapter has a summary of basic points, in which some fundamental definitions and results are prepared. This also contains many brief historical comments for some significant mathematical results in real analysis together with many references.Problems and Solutions in Real Analysis can be treated as a collection of advanced exercises by undergraduate students during or after their courses of calculus and linear algebra. It is also instructive for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the Prime Number Theorem through several exercises. This volume is also suitable for non-experts who wish to understand mathematical analysis.
Download or read book Mathematics Going Forward written by Jean-Michel Morel and published by Springer Nature. This book was released on 2023-06-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.
Download or read book Analytic Number Theory written by Chaohua Jia and published by . This book was released on 2014-01-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complexity written by M. Mitchell Waldrop and published by Open Road Media. This book was released on 2019-10-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: “If you liked Chaos, you’ll love Complexity. Waldrop creates the most exciting intellectual adventure story of the year” (The Washington Post). In a rarified world of scientific research, a revolution has been brewing. Its activists are not anarchists, but rather Nobel Laureates in physics and economics and pony-tailed graduates, mathematicians, and computer scientists from all over the world. They have formed an iconoclastic think-tank and their radical idea is to create a new science: complexity. They want to know how a primordial soup of simple molecules managed to turn itself into the first living cell—and what the origin of life some four billion years ago can tell us about the process of technological innovation today. This book is their story—the story of how they have tried to forge what they like to call the science of the twenty-first century. “Lucidly shows physicists, biologists, computer scientists and economists swapping metaphors and reveling in the sense that epochal discoveries are just around the corner . . . [Waldrop] has a special talent for relaying the exhilaration of moments of intellectual insight.” —The New York Times Book Review “Where I enjoyed the book was when it dove into the actual question of complexity, talking about complex systems in economics, biology, genetics, computer modeling, and so on. Snippets of rare beauty here and there almost took your breath away.” —Medium “[Waldrop] provides a good grounding of what may indeed be the first flowering of a new science.” —Publishers Weekly
Download or read book Analytic and Probabilistic Methods in Number Theory written by E. Laurincikas and published by Walter de Gruyter. This book was released on 2012-02-14 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A New Theory of Numbers written by Adrian de Groot and published by . This book was released on 2020-07-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a breakthrough in number theory, by showing the inner, hidden structure of numbers, such as two types of dual characteristics; the surprising inner structure of prime number reciprocals; hidden multiplication and division tables; the many different ways to "construct" a prime number reciprocal; palindromes; perfect balances of evens and odds; plus and minus differences; a predictable and perfect 12/24-based prime number structure; inner secrets hiding in the Fibonacci series and the Pascal Triangle; ratios related to the square roots of numbers; the special roles of the numbers 1, 2 and 3, as well as 3, 6 and 9; the amazing number 7; the fundamental roles of 81 and 19; the mediating roles of 2 and 5, etc. A bonus chapter has been added about the numbers operating in our solar system. One question will baffle any reader: how is it possible that so many phenomena are happening all at the same time? One question cannot be escaped; Is there an inherent intelligent logic hiding in the world of numbers?
Download or read book Books in Print written by and published by . This book was released on 1987 with total page 2204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book How Asia Works written by Joe Studwell and published by Open Road + Grove/Atlantic. This book was released on 2013-07-02 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A good read for anyone who wants to understand what actually determines whether a developing economy will succeed.” —Bill Gates, “Top 5 Books of the Year” An Economist Best Book of the Year from a reporter who has spent two decades in the region, and who the Financial Times said “should be named chief myth-buster for Asian business.” In How Asia Works, Joe Studwell distills his extensive research into the economies of nine countries—Japan, South Korea, Taiwan, Indonesia, Malaysia, Thailand, the Philippines, Vietnam, and China—into an accessible, readable narrative that debunks Western misconceptions, shows what really happened in Asia and why, and for once makes clear why some countries have boomed while others have languished. Studwell’s in-depth analysis focuses on three main areas: land policy, manufacturing, and finance. Land reform has been essential to the success of Asian economies, giving a kick-start to development by utilizing a large workforce and providing capital for growth. With manufacturing, industrial development alone is not sufficient, Studwell argues. Instead, countries need “export discipline,” a government that forces companies to compete on the global scale. And in finance, effective regulation is essential for fostering, and sustaining growth. To explore all of these subjects, Studwell journeys far and wide, drawing on fascinating examples from a Philippine sugar baron’s stifling of reform to the explosive growth at a Korean steel mill. “Provocative . . . How Asia Works is a striking and enlightening book . . . A lively mix of scholarship, reporting and polemic.” —The Economist
Download or read book Taiwan Film Directors written by Emilie Yueh-yu Yeh and published by Columbia University Press. This book was released on 2005 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2003 marked the fiftieth anniversary of James Watson's and Francis Crick's discovery of the structure of DNA, which began a revolution in the biological sciences and radically altered the way humans view life and themselves. In this poetic account Erwin Fleissner, an eminent cancer researcher and teacher, offers a personal and professional reflection on the most significant developments in molecular genetics and cell biology over the past fifty years. Vital Harmonies is a sweeping look at these crucial scientific advances and an insider's perspective on what scientists have actually learned from them. Contrasting the humanistic side of scientific research with more deterministic or "mechanical" explanations of life processes, Fleissner discusses everything from natural selection to the tradition of rational inquiry stemming from the Enlightenment. He goes on to describe the structures of macromolecules and their "organizing" principles as well as cancer genes, stem cells, and the Human Genome Project. He also explores neuronal cells and the emergence of consciousness and how biological evolution is the foundation of our personal reality as well as our global responsibility. Fleissner asserts that scientific investigations cannot negate our essential "humanness" nor should the public fear them. Taking an optimistic perspective, he argues that a deeper knowledge of ourselves as biological entities will provide us, ultimately, with greater health, serenity, and self-knowledge. Vital Harmonies gives readers, whatever their background, an engaging analysis of some of the most important questions facing humanity today.
