Описание: Provides an introduction to the many topics of numerical analysis. This book contains several exercises and examples and many figures.
Автор: Neumaier Название: Introduction to Numerical Analysis ISBN: 0521333237 ISBN-13(EAN): 9780521333238 Издательство: Cambridge Academ Рейтинг: Цена: 15886 р. Наличие на складе: Поставка под заказ.
Описание: This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.
Автор: Shen Wen Название: Introduction To Numerical Computation, An ISBN: 9814730068 ISBN-13(EAN): 9789814730068 Издательство: World Scientific Publishing Рейтинг: Цена: 6984 р. Наличие на складе: 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 book gathers important material from floating-point arithmetic, polynomials, series, interpolation, the discrete Fourier transform, numerical differentiation and integration, numerical solutions of ODEs, BVPs, DDEs, and PDEs, and optimization.
Описание: Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. This work treats the basic and important topics in multivariate statistics.
Описание: An accessible yet rigorous mathematical introduction, A Theoretical Introduction to Numerical Analysis provides a pedagogical account of the fundamentals of numerical analysis. Using numerical methods from real analysis, linear algebra, and differe
Описание: "The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory . . . reading is fluid and very pleasant . . . style is informal but far from being imprecise." вЂ”MATHEMATICAL REVIEWS (Review of the First Edition) Here is a book that will be a joy to the mathematician or graduate student of mathematics---or even the well-prepared undergraduate---who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world.New to the second edition: New chapters will supply additional applications of the theory and techniques presented in the book. * Several new proofs, making the second edition more self-contained.
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: This book treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behaviour, analysis, and numerical analysis of Navier–Stokes equations; and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. Introduction to the Numerical Analysis of Incompressible Viscous Flows provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to more complex ?ows. With mathematical rigour and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to ?nite element computational ?uid dynamics in a manageable format.
Описание: Praise for the First Edition "... outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises. " -Zentrablatt Math "... carefully structured with many detailed worked examples... " -The Mathematical Gazette "...
A solutions manual to accompany An Introduction toNumerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, SecondEdition reflects the latest trends in the field, includesnew material and revised exercises, and offers a unique emphasis onapplications.
Описание: With a user-friendly approach to numerical methods and analysis, this text addresses the origins, functionality, and applications of approximation methods. First explaining basic calculus concepts as they apply to approximations, the book completes its coverage with fully worked examples of computational mathematics and simple approximations.
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