Mathematics and Computation, a Contemporary View

Download Mathematics and Computation, a Contemporary View PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540688501
Total Pages : 127 pages
Book Rating : 4.5/5 (46 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and Computation, a Contemporary View by : Hans Munthe-Kaas

Download or read book Mathematics and Computation, a Contemporary View written by Hans Munthe-Kaas and published by Springer Science & Business Media. This book was released on 2008-10-23 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2006 Abel symposium is focusing on contemporary research involving interaction between computer science, computational science and mathematics. In recent years, computation has been affecting pure mathematics in fundamental ways. Conversely, ideas and methods of pure mathematics are becoming increasingly important within computational and applied mathematics. At the core of computer science is the study of computability and complexity for discrete mathematical structures. Studying the foundations of computational mathematics raises similar questions concerning continuous mathematical structures. There are several reasons for these developments. The exponential growth of computing power is bringing computational methods into ever new application areas. Equally important is the advance of software and programming languages, which to an increasing degree allows the representation of abstract mathematical structures in program code. Symbolic computing is bringing algorithms from mathematical analysis into the hands of pure and applied mathematicians, and the combination of symbolic and numerical techniques is becoming increasingly important both in computational science and in areas of pure mathematics.

Mathematics and Computation

Download Mathematics and Computation PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

75 Years of Mathematics of Computation

Download 75 Years of Mathematics of Computation PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470451638
Total Pages : 364 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis 75 Years of Mathematics of Computation by : Susanne C. Brenner

Download or read book 75 Years of Mathematics of Computation written by Susanne C. Brenner and published by American Mathematical Soc.. This book was released on 2020-07-29 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.

An Introduction to Modern Mathematical Computing

Download An Introduction to Modern Mathematical Computing PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461442532
Total Pages : 237 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis An Introduction to Modern Mathematical Computing by : Jonathan M. Borwein

Download or read book An Introduction to Modern Mathematical Computing written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

Download Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 1493969692
Total Pages : 437 pages
Book Rating : 4.4/5 (939 download)

DOWNLOAD NOW!


Book Synopsis Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science by : Roderick Melnik

Download or read book Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science written by Roderick Melnik and published by Springer. This book was released on 2017-09-05 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.

Computational Complexity

Download Computational Complexity PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

DOWNLOAD NOW!


Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Contemporary Computational Mathematics

Download Contemporary Computational Mathematics PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

DOWNLOAD NOW!


Book Synopsis Contemporary Computational Mathematics by :

Download or read book Contemporary Computational Mathematics written by and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Computational Mathematics

Download Foundations of Computational Mathematics PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521003490
Total Pages : 418 pages
Book Rating : 4.0/5 (34 download)

DOWNLOAD NOW!


Book Synopsis Foundations of Computational Mathematics by : Ronald A. DeVore

Download or read book Foundations of Computational Mathematics written by Ronald A. DeVore and published by Cambridge University Press. This book was released on 2001-05-17 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers.

Geometric and Computational Spectral Theory

Download Geometric and Computational Spectral Theory PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 147042665X
Total Pages : 298 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Geometric and Computational Spectral Theory by : Alexandre Girouard

Download or read book Geometric and Computational Spectral Theory written by Alexandre Girouard and published by American Mathematical Soc.. This book was released on 2017-10-30 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A co-publication of the AMS and Centre de Recherches Mathématiques The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15–26, 2015, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the interplay between the two.

Mathematical Analysis and the Mathematics of Computation

Download Mathematical Analysis and the Mathematics of Computation PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319427555
Total Pages : 722 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Analysis and the Mathematics of Computation by : Werner Römisch

Download or read book Mathematical Analysis and the Mathematics of Computation written by Werner Römisch and published by Springer. This book was released on 2016-10-04 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations. This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.

Proof And Computation: Digitization In Mathematics, Computer Science And Philosophy

Download Proof And Computation: Digitization In Mathematics, Computer Science And Philosophy PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9813270950
Total Pages : 300 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!


Book Synopsis Proof And Computation: Digitization In Mathematics, Computer Science And Philosophy by : Klaus Mainzer

Download or read book Proof And Computation: Digitization In Mathematics, Computer Science And Philosophy written by Klaus Mainzer and published by World Scientific. This book was released on 2018-05-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.

An Introduction to Modern Mathematical Computing

Download An Introduction to Modern Mathematical Computing PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 9781461401230
Total Pages : 216 pages
Book Rating : 4.4/5 (12 download)

DOWNLOAD NOW!


Book Synopsis An Introduction to Modern Mathematical Computing by : Jonathan M. Borwein

Download or read book An Introduction to Modern Mathematical Computing written by Jonathan M. Borwein and published by Springer. This book was released on 2011-08-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Maple and other like tools are worth knowing assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an `experimental mathematician' while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

Mathematics and Computation in Imaging Science and Information Processing

Download Mathematics and Computation in Imaging Science and Information Processing PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812709061
Total Pages : 275 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and Computation in Imaging Science and Information Processing by : Say Song Goh

Download or read book Mathematics and Computation in Imaging Science and Information Processing written by Say Song Goh and published by World Scientific. This book was released on 2007 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The explosion of data arising from rapid advances in communication, sensing and computational power has concentrated research effort on more advanced techniques for the representation, processing, analysis and interpretation of data sets. In view of these exciting developments, the program OC Mathematics and Computation in Imaging Science and Information ProcessingOCO was held at the Institute for Mathematical Sciences, National University of Singapore, from July to December 2003 and in August 2004 to promote and facilitate multidisciplinary research in the area. As part of the program, a series of tutorial lectures were conducted by international experts on a wide variety of topics in mathematical image, signal and information processing. This compiled volume contains survey articles by the tutorial speakers, all specialists in their respective areas. They collectively provide graduate students and researchers new to the field a unique and valuable introduction to a range of important topics at the frontiers of current research. Sample Chapter(s). Foreword (46 KB). Chapter 1: Subdivision on Arbitrary Meshes: Algorithms and Theory (771 KB). Contents: Subdivision on Arbitrary Meshes: Algorithms and Theory (D Zorin); High Order Numerical Methods for Time Dependent Hamilton-Jacobi Equations (C-W Shu); Theory and Computation of Variational Image Deblurring (T F Chan & J Shen); Data Hiding OCo Theory and Algorithms (P Moulin & R Koetter); Image Steganography and Steganalysis: Concepts and Practice (M Kharrazi et al.); The Apriori Algorithm OCo A Tutorial (M Hegland). Readership: Graduate students and researchers in mathematical image, signal and information processing."

Gems in Experimental Mathematics

Download Gems in Experimental Mathematics PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821848690
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Gems in Experimental Mathematics by : Tewodros Amdeberhan

Download or read book Gems in Experimental Mathematics written by Tewodros Amdeberhan and published by American Mathematical Soc.. This book was released on 2010 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.

Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Download Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319724568
Total Pages : 1330 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!


Book Synopsis Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan by : Josef Dick

Download or read book Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan written by Josef Dick and published by Springer. This book was released on 2018-05-23 with total page 1330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integrals, and in general in information-based complexity and tractability, as well as in a range of other topics. The book also tells the life story of the renowned mathematician, family man, colleague and friend, who has been an inspiration to many of us. The reader may especially enjoy the story from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in science and life.

Theory of Computation

Download Theory of Computation PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118315359
Total Pages : 410 pages
Book Rating : 4.1/5 (183 download)

DOWNLOAD NOW!


Book Synopsis Theory of Computation by : George Tourlakis

Download or read book Theory of Computation written by George Tourlakis and published by John Wiley & Sons. This book was released on 2014-08-21 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the skills and acquire the intuition to assess the theoretical limitations of computer programming Offering an accessible approach to the topic, Theory of Computation focuses on the metatheory of computing and the theoretical boundaries between what various computational models can do and not do—from the most general model, the URM (Unbounded Register Machines), to the finite automaton. A wealth of programming-like examples and easy-to-follow explanations build the general theory gradually, which guides readers through the modeling and mathematical analysis of computational phenomena and provides insights on what makes things tick and also what restrains the ability of computational processes. Recognizing the importance of acquired practical experience, the book begins with the metatheory of general purpose computer programs, using URMs as a straightforward, technology-independent model of modern high-level programming languages while also exploring the restrictions of the URM language. Once readers gain an understanding of computability theory—including the primitive recursive functions—the author presents automata and languages, covering the regular and context-free languages as well as the machines that recognize these languages. Several advanced topics such as reducibilities, the recursion theorem, complexity theory, and Cook's theorem are also discussed. Features of the book include: A review of basic discrete mathematics, covering logic and induction while omitting specialized combinatorial topics A thorough development of the modeling and mathematical analysis of computational phenomena, providing a solid foundation of un-computability The connection between un-computability and un-provability: Gödel's first incompleteness theorem The book provides numerous examples of specific URMs as well as other programming languages including Loop Programs, FA (Deterministic Finite Automata), NFA (Nondeterministic Finite Automata), and PDA (Pushdown Automata). Exercises at the end of each chapter allow readers to test their comprehension of the presented material, and an extensive bibliography suggests resources for further study. Assuming only a basic understanding of general computer programming and discrete mathematics, Theory of Computation serves as a valuable book for courses on theory of computation at the upper-undergraduate level. The book also serves as an excellent resource for programmers and computing professionals wishing to understand the theoretical limitations of their craft.

Computational Group Theory and the Theory of Groups, II

Download Computational Group Theory and the Theory of Groups, II PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821858378
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Computational Group Theory and the Theory of Groups, II by : Robert Fitzgerald Morse

Download or read book Computational Group Theory and the Theory of Groups, II written by Robert Fitzgerald Morse and published by American Mathematical Soc.. This book was released on 2010 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: