The Riemann Hypothesis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387721258
Total Pages : 543 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis The Riemann Hypothesis by : Peter B. Borwein

Download or read book The Riemann Hypothesis written by Peter B. Borwein and published by Springer Science & Business Media. This book was released on 2008 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.

Bibliography of Map Projections

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Bibliography of Map Projections by : Geological Survey (U.S.)

Download or read book Bibliography of Map Projections written by Geological Survey (U.S.) and published by . This book was released on 1989 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mysticism and Logic

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Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mysticism and Logic by : Bertrand Russell

Download or read book Mysticism and Logic written by Bertrand Russell and published by . This book was released on 1918 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Porous Medium Equation

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Publisher : Clarendon Press
ISBN 13 : 0191513830
Total Pages : 648 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Porous Medium Equation by : Juan Luis Vazquez

Download or read book The Porous Medium Equation written by Juan Luis Vazquez and published by Clarendon Press. This book was released on 2006-10-26 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.

Researching the History of Mathematics Education

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Publisher : Springer
ISBN 13 : 3319682946
Total Pages : 323 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Researching the History of Mathematics Education by : Fulvia Furinghetti

Download or read book Researching the History of Mathematics Education written by Fulvia Furinghetti and published by Springer. This book was released on 2017-12-04 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Descriptive Geometry, The Spread of a Polytechnic Art

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Publisher : Springer
ISBN 13 : 3030148084
Total Pages : 446 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Descriptive Geometry, The Spread of a Polytechnic Art by : Évelyne Barbin

Download or read book Descriptive Geometry, The Spread of a Polytechnic Art written by Évelyne Barbin and published by Springer. This book was released on 2019-07-01 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.

Variational Analysis and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387242095
Total Pages : 1348 pages
Book Rating : 4.2/5 (42 download)

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Book Synopsis Variational Analysis and Applications by : F. Giannessi

Download or read book Variational Analysis and Applications written by F. Giannessi and published by Springer Science & Business Media. This book was released on 2005-06-14 with total page 1348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a new discipline, variational analysis, which contains the calculus of variations, differential calculus, optimization, and variational inequalities. To such classic branches of mathematics, variational analysis provides a uniform theoretical base that represents a powerful tool for the applications. The contributors are among the best experts in the field. Audience The target audience of this book includes scholars in mathematics (especially those in mathematical analysis), mathematical physics and applied mathematics, calculus of variations, optimization and operations research, industrial mathematics, structural engineering, and statistics and economics.

The Mathematics Teacher in the Digital Era

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Publisher : Springer Science & Business Media
ISBN 13 : 9400746385
Total Pages : 419 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The Mathematics Teacher in the Digital Era by : Alison Clark-Wilson

Download or read book The Mathematics Teacher in the Digital Era written by Alison Clark-Wilson and published by Springer Science & Business Media. This book was released on 2013-12-08 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invited contributions from leading scholars in the field, this volume contains a blend of research articles and descriptive texts. In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlight important features of technology-mediated mathematical activity. This is followed by three main sections: An overview of current practices in teachers’ use of digital technologies in the classroom and explorations of the possibilities for developing more effective practices drawing on a range of research perspectives (including grounded theory, enactivism and Valsiner’s zone theory). A set of chapters that share many common constructs (such as instrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emerged from the French research community, but have also been taken up by other colleagues. Meta-level considerations of research in the domain by contrasting different approaches and proposing connecting or uniting elements

Dr. Riemann's Zeros

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Publisher : Atlantic Books (UK)
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.7/5 (63 download)

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Book Synopsis Dr. Riemann's Zeros by : Karl Sabbagh

Download or read book Dr. Riemann's Zeros written by Karl Sabbagh and published by Atlantic Books (UK). This book was released on 2003 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1859 Bernhard Riemann, a shy German mathematician, gave an answer to a problem that had long puzzled mathematicians. Although he couldn't provide a proof, Riemann declared that his solution was 'very probably' true. For the next one hundred and fifty years, the world's mathematicians have longed to confirm the Riemann hypothesis. So great is the interest in its solution that in 2001, an American foundation offered a million-dollar prize to the first person to demonstrate that the hypothesis is correct. In this book, Karl Sabbagh makes accessible even the airiest peaks of maths and paints vivid portraits of the people racing to solve the problem. Dr. Riemann's Zeros is a gripping exploration of the mystery at the heart of our counting system.

Using Italian Vocabulary

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Publisher : Cambridge University Press
ISBN 13 : 9781139437165
Total Pages : 492 pages
Book Rating : 4.4/5 (371 download)

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Book Synopsis Using Italian Vocabulary by : Marcel Danesi

Download or read book Using Italian Vocabulary written by Marcel Danesi and published by Cambridge University Press. This book was released on 2003-08-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Italian Vocabulary provides the student of Italian with an in-depth, structured approach to the learning of vocabulary. It can be used for intermediate and advanced undergraduate courses, or as a supplementary manual at all levels - including elementary level - to supplement the study of vocabulary. The book is made up of twenty units covering topics that range from clothing and jewellery, to politics and environmental issues, with each unit consisting of words and phrases that have been organized thematically and according to levels so as to facilitate their acquisition. The book will enable students to acquire a comprehensive control of both concrete and abstract vocabulary allowing them to carry out essential communicative and interactional tasks. • A practical topic-based textbook that can be inserted into all types of course syllabi • Provides exercises and activities for classroom and self-study • Answers are provided for a number of exercises

Stalking The Riemann Hypothesis

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Publisher : Random House
ISBN 13 : 1446483622
Total Pages : 324 pages
Book Rating : 4.4/5 (464 download)

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Book Synopsis Stalking The Riemann Hypothesis by : Daniel Nahum Rockmore

Download or read book Stalking The Riemann Hypothesis written by Daniel Nahum Rockmore and published by Random House. This book was released on 2011-06-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like a hunter who sees 'a bit of blood' on the trail, that's how Princeton mathematician Peter Sarnak describes the feeling of chasing an idea that seems to have a chance of success. If this is so, then the jungle of abstractions that is mathematics is full of frenzied hunters these days. They are out stalking big game: the resolution of 'The Riemann Hypothesis', seems to be in their sights. The Riemann Hypothesis is about the prime numbers, the fundamental numerical elements. Stated in 1859 by Professor Bernhard Riemann, it proposes a simple law which Riemann believed a 'very likely' explanation for the way in which the primes are distributed among the whole numbers, indivisible stars scattered without end throughout a boundless numerical universe. Just eight years later, at the tender age of thirty-nine Riemann would be dead from tuberculosis, cheated of the opportunity to settle his conjecture. For over a century, the Riemann Hypothesis has stumped the greatest of mathematical minds, but these days frustration has begun to give way to excitement. This unassuming comment is revealing astounding connections among nuclear physics, chaos and number theory, creating a frenzy of intellectual excitement amplified by the recent promise of a one million dollar bounty. The story of the quest to settle the Riemann Hypothesis is one of scientific exploration. It is peopled with solitary hermits and gregarious cheerleaders, cool calculators and wild-eyed visionaries, Nobel Prize-winners and Fields Medalists. To delve into the Riemann Hypothesis is to gain a window into the world of modern mathematics and the nature of mathematics research. Stalking the Riemann Hypothesis will open wide this window so that all may gaze through it in amazement.

Mathematical Analysis tools for engineering

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Publisher : Società Editrice Esculapio
ISBN 13 : 8834187504
Total Pages : 442 pages
Book Rating : 4.8/5 (341 download)

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Book Synopsis Mathematical Analysis tools for engineering by : Franco Tomarelli

Download or read book Mathematical Analysis tools for engineering written by Franco Tomarelli and published by Società Editrice Esculapio. This book was released on 2019-09-18 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the study of ordinary differential equations and partial differential equations, ranging from elementary techniques to advanced tools. The presentation focusses on initial value problems, boundary value problems, equations with delayed argument and analysis of periodic solutions: main goal is the analysis of diffusion equation, wave equation Laplace equation and signals. The study of relevant examples of differential models highlights the notion of well-posed problem. An expanded tutorial chapter collects the topics from basic undergraduate calculus that are used in subsequent chapters. A wide exposition concerning classical methods for solving problems related to differential equations is available: mainly separation of variables and Fourier series, with basic worked exercises. A whole chapter deals with the analytic functions of complex variable. An introduction to function spaces, distributions and basic notions of functional analysis is present. Several chapters are devoted to Fourier and Laplace transforms methods to solve boundary value problems and initial value problems for differential equations. Tools for the analysis appear gradually: first in function spaces, then in the more general framework of distributions, where a powerful arsenal of techniques allows dealing with impulsive signals and singularities in both data and solutions of differential problems.

Complex and Differential Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642203000
Total Pages : 424 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Complex and Differential Geometry by : Wolfgang Ebeling

Download or read book Complex and Differential Geometry written by Wolfgang Ebeling and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.

Non-Associative Algebra and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401109907
Total Pages : 429 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Non-Associative Algebra and Its Applications by : Santos González

Download or read book Non-Associative Algebra and Its Applications written by Santos González and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12--17, 1993. The conference brought together specialists from all over the world who work in this interesting and active field, which is currently enjoying much attention. All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection will point the way for further research for many years to come. The volume is of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.

Structure and Representations of Jordan Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 082184640X
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Structure and Representations of Jordan Algebras by : Nathan Jacobson

Download or read book Structure and Representations of Jordan Algebras written by Nathan Jacobson and published by American Mathematical Soc.. This book was released on 1968-12-31 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Jordan algebras has played important roles behind the scenes of several areas of mathematics. Jacobson's book has long been the definitive treatment of the subject. It covers foundational material, structure theory, and representation theory for Jordan algebras. Of course, there are immediate connections with Lie algebras, which Jacobson details in Chapter 8. Of particular continuing interest is the discussion of exceptional Jordan algebras, which serve to explain the exceptional Lie algebras and Lie groups. Jordan algebras originally arose in the attempts by Jordan, von Neumann, and Wigner to formulate the foundations of quantum mechanics. They are still useful and important in modern mathematical physics, as well as in Lie theory, geometry, and certain areas of analysis.

The Work of Art

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Publisher : Cornell University Press
ISBN 13 : 9780801482724
Total Pages : 292 pages
Book Rating : 4.4/5 (827 download)

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Book Synopsis The Work of Art by : Gérard Genette

Download or read book The Work of Art written by Gérard Genette and published by Cornell University Press. This book was released on 1997 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: What art is--its very nature--is the subject of this book by one of the most distinguished continental theorists writing today. Informed by the aesthetics of Nelson Goodman and referring to a wide range of cultures, contexts, and media, The Work of Art seeks to discover, explain, and define how art exists and how it works. To this end, Gérard Genette explores the distinction between a work of art's immanence--its physical presence--and transcendence--the experience it induces. That experience may go far beyond the object itself.Genette situates art within the broad realm of human practices, extending from the fine arts of music, painting, sculpture, and literature to humbler but no less fertile fields such as haute couture and the culinary arts. His discussion touches on a rich array of examples and is bolstered by an extensive knowledge of the technology involved in producing and disseminating a work of art, regardless of whether that dissemination is by performance, reproduction, printing, or recording. Moving beyond examples, Genette proposes schemata for thinking about the different manifestations of a work of art. He also addresses the question of the artwork's duration and mutability.

An Introduction to Quantum Computing

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Publisher : Oxford University Press
ISBN 13 : 0198570007
Total Pages : 287 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis An Introduction to Quantum Computing by : Phillip Kaye

Download or read book An Introduction to Quantum Computing written by Phillip Kaye and published by Oxford University Press. This book was released on 2007 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises.