A Theoretical Introduction to Numerical Analysis, Ryaben`kii, Victor S
Автор: Shen Wen Название: Introduction To Numerical Computation, An ISBN: 9814730068 ISBN-13(EAN): 9789814730068 Издательство: World Scientific Publishing Рейтинг: Цена: 6193 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Developed During Ten Years Of Teaching Experience, This Book Serves As A Set Of Lecture Notes For An Introductory Course On Numerical Computation, At The Senior Undergraduate Level. These Notes Contain The Material That Can Be Covered In A Semester, Together With A Few Optional Sections For Additional Reading. Rather Than Surveying A Large Number Of Algorithms, The Book Presents The Most Important Computational Methods And Emphasizes The Underlying Mathematical Ideas. In Most Chapters, Graphs And Drawings Are Relied On, To Build Up Intuition.The Notes Are Written In A Rather Colloquial Style, Presenting The Subject Matter In The Same Form As It Can Be Explained In A Classroom. For Instructors, This Will Minimize The Amount Of Effort Required To Prepare Their Blackboard Presentations.As Prerequisites, The Book Only Relies On Standard Calculus, An Introductory Course On Matrices, And Some Basic Computer Programming Skills. As A New Feature, These Notes Are Supplemented By Two Sets Of Videos From The Author'S Youtube Channel. These Videos Contain A Complete Set Of Live Lectures Given In Spring 2015, Together With A Complete Set Of Short Tutorials, From 5 To 15 Minutes Each.A Set Of Homework Problems Is Included At The End Of Each Chapter. Homework Projects Cover A Variety Of Applications, In Connection With Population Dynamics, Engineering, Mechanics, Image Reconstruction, Etc. A Complete Set Of Solutions Is Available For Instructors, Upon Request.
Описание: This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.
Описание: Combining both the theory and the applications of Fourier analysis, this work discusses several topics, including harmonic regression, harmonic analysis, complex demodulation, and spectrum analysis.
Описание: MATLAB is a programme which lends itself to the implementation of most numerical algorithms. This text, which uses MATLAB, gives an overview of structured programming and numerical methods and covers numerical methods for solving a range of problems, from integration to the numerical solution of differential equations.
Автор: Moore, Ramon E. Baker Kearfott, R. Cloud, Michael Название: Introduction to interval analysis ISBN: 0898716691 ISBN-13(EAN): 9780898716696 Издательство: Eurospan Рейтинг: Цена: 8149 р. Наличие на складе: Нет в наличии.
Описание: This book is a unique introduction to interval analysis, which has grown steadily in popularity over the past 40 years. An update of Ramon Moore's previous books on the topic, it gives broad coverage of the subject as well as the historical perspective of one of the originators of modern interval analysis. The authors provide a hands-on introduction to INTLAB, a high-quality, comprehensive MATLAB?® toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB. The book combines a gentle introduction and simple motivating examples for those not previously familiar with the subject, with reference material (as a bibliography and appendices) that will continue to be valuable once the subject is familiar.
Описание: The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters.
Описание: This second edition of G. Winkler's successful book on random field approaches to image analysis, related Markov Chain Monte Carlo methods, and statistical inference with emphasis on Bayesian image analysis concentrates more on general principles and models and less on details of concrete applications. Addressed to students and scientists from mathematics, statistics, physics, engineering, and computer science, it will serve as an introduction to the mathematical aspects rather than a survey. Basically no prior knowledge of mathematics or statistics is required.The second edition is in many parts completely rewritten and improved, and most figures are new. The topics of exact sampling and global optimization of likelihood functions have been added. This second edition comes with a CD-ROM by F. Friedrich,containing a host of (live) illustrations for each chapter. In an interactive environment, readers can perform their own experiments to consolidate the subject.
Автор: Blowey James, Craig Alan, Shardlow Tony Название: Frontiers in Numerical Analysis / Durham 2002 ISBN: 3540443193 ISBN-13(EAN): 9783540443193 Издательство: Springer Рейтинг: Цена: 6077 р. Наличие на складе: Поставка под заказ.
Описание: This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences.
Описание: This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas. The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods.
Описание: Demonstrates how the built-in functions of MATLAB[registered] can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization problems, control systems problems, and stress analysis problems. It also discusses the finite element method and mechanical controls.
Описание: This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates.