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Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 190
ISBN-13: 9780821839287
DOWNLOAD EBOOKThis volume contains translations of papers that originally appeared in the Japanese journal 'Sugaku'. The papers range over a variety of topics, including operator algebras, analysis, and statistics.
Author: Donald Ervin Knuth
Publisher: Center for the Study of Language and Information Publica Tion
Published: 2011
Total Pages: 0
ISBN-13: 9781575865850
DOWNLOAD EBOOKDonald E. Knuth's influence in computer science ranges from the invention of methods for translating and defining programming languages to the creation of the TeX and METAFONT systems for desktop publishing. His award-winning textbooks have become classics that are often given credit for shaping the field, and his scientific papers are widely referenced and stand as milestones of development over a wide variety of topics. The present volume is the eighth in a series of his collected papers.
Author: Peter D Lax
Publisher: Springer Science & Business Media
Published: 2005-05-20
Total Pages: 620
ISBN-13: 9780387229263
DOWNLOAD EBOOKA renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honors including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. Two volumes span the years from 1952 up until 1999, and cover many varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory. After each paper, or collection of papers, is a commentary placing the paper in context and where relevant discussing more recent developments. Many of the papers in these volumes have become classics and should be read by any serious student of these topics. In terms of insight, depth, and breadth, Lax has few equals. The reader of this selecta will quickly appreciate his brilliance as well as his masterful touch. Having this collection of papers in one place allows one to follow the evolution of his ideas and mathematical interests and to appreciate how many of these papers initiated topics that developed lives of their own.
Author: Michael Ruzhansky
Publisher: John Wiley & Sons
Published: 2018-04-11
Total Pages: 1021
ISBN-13: 1119414334
DOWNLOAD EBOOKAn authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.
Author: Donald Ervin Knuth
Publisher: Stanford Univ Center for the Study
Published: 2003
Total Pages: 812
ISBN-13: 9781575862484
DOWNLOAD EBOOKThis volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics.
Author: David Joyner
Publisher: Springer Science & Business Media
Published: 2011-08-26
Total Pages: 211
ISBN-13: 0817682562
DOWNLOAD EBOOKUsing an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sage—a free open-source mathematics software system—to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.
Author: Siegmund Heinz Foulkes
Publisher: Routledge
Published: 1990
Total Pages: 327
ISBN-13: 9780946439560
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Author: M. G. Goluzina
Publisher: American Mathematical Soc.
Published:
Total Pages: 386
ISBN-13: 9780821897386
DOWNLOAD EBOOKThis book is intended for students wishing to deepen their knowledge of mathematical analysis and for those teaching courses in this area. It differs from other problem books in the greater difficulty of the problems, some of which are well-known theorems in analysis. Nonetheless, no special preparation is required to solve the majority of the problems. Brief but detailed solutions to most of the problems are given in the second part of the book. This book is unique in that the authors have aimed to systematize a range of problems that are found in sources that are almost inaccessible (especially to students) and in mathematical folklore.
Author: Michael Oberguggenberger
Publisher: Springer Science & Business Media
Published: 2011-03-19
Total Pages: 338
ISBN-13: 0857294466
DOWNLOAD EBOOKThis textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book’s webpage.
Author: Donald E. Knuth
Publisher: Center for the Study of Language and Information Publications
Published: 1996-07-13
Total Pages: 286
ISBN-13: 9781881526919
DOWNLOAD EBOOKThis anthology of essays from the inventor of literate programming is a survey of Donald Knuth's papers on computer science. Donald Knuth's influence in computer science ranges from the invention of literate programming to the development of the TeX programming language. One of the foremost figures in the field of mathematical sciences, his papers are widely referenced and stand as milestones of development over a wide range of topics. This collection focuses on Professor Knuth's published science papers that serve as accessible surveys of their subject matter. It includes articles on the history of computing, algorithms, numerical techniques, computational models, typesetting, and more. This book will be appreciated by students and researchers from a wide range of areas within computer science and mathematics.
