{"title":"Numerical Analysis","description":"\u003cp\u003eNumerical analysis explores mathematical methods for devising algorithms that approximate solutions to complex problems, especially those arising in science and engineering. This area of mathematics emphasizes practical computation—addressing challenges such as solving systems of equations, performing numerical integration, and approximating functions when analytic methods are insufficient or unavailable.\u003c\/p\u003e\u003cp\u003eTo refine your studies within numerical analysis, consider focusing on specific methods like finite differences or Monte Carlo techniques, or on applications within particular scientific domains. Distinct from broader mathematical theory, this field stands out by prioritizing the accuracy, efficiency, and stability of computations vital to modern research and technology.\u003c\/p\u003e","products":[{"product_id":"adv-math-comp-tool-metrol-xiii-9789819800667-new","title":"Adv Math \u0026 Comp Tool Metrol XIII","description":"\u003cp\u003eThis volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing. The volume has been produced by the International Measurement Confederation (IMEKO) Technical Committee 21, Mathematical Tools for Measurements, in association with IMEKO Technical Committee 6, Digitalisation, and the European Network for Mathematics and Statistics for Metrology, following presentations made at the Advanced Mathematical and Computational Tools in Metrology online conference, hosted by the Institute of Metrology of Bosnia and Herzegovina, Sarajevo, in September 2023. The volume covers the application of novel mathematical and statistical modelling techniques and data analysis and machine learning approaches to metrology and measurement science, uncertainty quantification, and knowledge representation and reasoning to enable the digitalization of metrological services.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis volume is of interest to all researchers, data scientists, engineers and practitioners who need to characterize the capabilities of measurement systems, evaluate measurement data, quantify uncertainties and make inferences and decisions based on models and data. It will also be of interest to those working in the quality infrastructure concerned with the reliability, transparency, trustworthiness and reproducibility of data, data analytics, machine learning and AI, in engineering, physical, environmental and the life sciences.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543611146530,"sku":"9789819800667-new","price":144.63,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789819800667.jpg?v=1776386406"},{"product_id":"numerical-differential-equations-ode-methods-9789814719490-new","title":"Numerical Differential Equations: Ode Methods","description":"\u003cp\u003eThis text presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting theory.\u003c\/p\u003e\u003cp\u003eThe applied techniques include those that arise in the present literature. The supporting mathematical theory includes the general convergence theory. This material should be readily accessible to students with basic knowledge of mathematical analysis, Lebesgue measure and the basics of Hilbert spaces and Banach spaces. Nevertheless, we have made the book free standing in most respects. Most importantly, the terminology is introduced, explained and developed as needed.\u003c\/p\u003e\u003cp\u003eThe examples presented are taken from multiple vital application areas including finance, aerospace, mathematical biology and fluid mechanics. The text may be used as the basis for several distinct lecture courses or as a reference. For instance, this text will support a general applications course or an FEM course with theory and applications. The presentation of material is empirically-based as more and more is demanded of the reader as we progress through the material. By the end of the text, the level of detail is reminiscent of journal articles. Indeed, it is our intention that this material be used to launch a research career in numerical PDE.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543622123810,"sku":"9789814719490-new","price":144.63,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814719490.jpg?v=1776386912"},{"product_id":"classical-orthogonal-polynomials-9789814704038-new","title":"The Classical Orthogonal Polynomials","description":"\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have.\u003c\/p\u003e\u003cp\u003eThe first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a set of polynomials which are orthogonal to one another and then describes a number of properties satisfied by any set of orthogonal polynomials. The classical orthogonal polynomials arise when the weight function in the orthogonality condition has a particular form. These polynomials have a further set of properties and in particular satisfy a second order differential equation.\u003c\/p\u003e\u003cp\u003eEach subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543625695522,"sku":"9789814704038-new","price":95.78,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814704038.jpg?v=1776387124"},{"product_id":"fractional-partial-differential-equations-their-9789814667043-new","title":"Fractional Partial Differential Equations and Their","description":"\u003cp\u003eThis book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.\u003c\/p\u003e\u003cp\u003eThis book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear Schr\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543634313506,"sku":"9789814667043-new","price":131.12,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814667043.jpg?v=1776387489"},{"product_id":"intro-computation-math-2nd-ed-9789814635783-new","title":"Intro Computation Math (2nd Ed)","description":"\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and\/or reference book.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543645421858,"sku":"9789814635783-new","price":68.76,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814635783.jpg?v=1776387849"},{"product_id":"intro-computation-math-2nd-ed-9789814635776-new","title":"Intro Computation Math (2nd Ed)","description":"\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and\/or reference book.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543645454626,"sku":"9789814635776-new","price":113.45,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814635776.jpg?v=1776387849"},{"product_id":"asymptotic-methods-integrals-9789814612159-new","title":"Asymptotic Methods for Integrals","description":"\u003cp\u003eThis book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.\u003c\/p\u003e\u003cp\u003eThe text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543657513250,"sku":"9789814612159-new","price":238.17,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814612159.jpg?v=1776388265"},{"product_id":"quantized-number-theory-fractal-string-riemann-hypothesis-9789813230798-new","title":"Quantized Number Theory, Fractal String \u0026 Riemann Hypothesis","description":"\u003cp\u003eThe book should be accessible to experts and non-experts alike, including mathematics and physics graduate students and postdoctoral researchers, interested in fractal geometry, number theory, operator theory and functional analysis, differential equations, complex analysis, spectral theory, as well as mathematical and theoretical physics. Whenever necessary, suitable background about the different subjects involved is provided and the new work is placed in its proper historical context. Several appendices supplementing the main text are also included.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543908417826,"sku":"9789813230798-new","price":155.03,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789813230798.jpg?v=1776394208"},{"product_id":"elements-numerical-analysis-mathematica-9789813224155-new","title":"Elements of Numerical Analysis with Mathematica","description":"\u003cp\u003e \u003c\/p\u003e\u003cp\u003eHere we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is \u003cem\u003eMathematica\u003c\/em\u003e. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543919132962,"sku":"9789813224155-new","price":71.87,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789813224155.jpg?v=1776394629"},{"product_id":"introduction-method-fundamental-solutions-9789811298479-new","title":"An Introduction to the Method of Fundamental Solutions","description":"\u003cp\u003eOver the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in the governing partial differential equation.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eOne of the main attractions of the MFS is the simplicity with which it can be applied to the solution of boundary value problems in complex geometries in two and three dimensions. The method is also known by many different names in the literature such as the charge simulation method, the de-singularization method, the virtual boundary element method, etc.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eDespite its effectiveness, the original version of the MFS is confined to solving boundary value problems governed by homogeneous partial differential equations. To address this limitation, we introduce various types of particular solutions to extend the method to solving general inhomogeneous boundary value problems employing the method of particular solutions.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book consists of two parts. Part I aims to provide theoretical support for beginners. In the spirit of reproducible research and to facilitate the understanding of the method and its implementation, several MATLAB codes have been included in Part II.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book is highly recommended for use by post-graduate researchers and graduate students in scientific computing and engineering.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544094212386,"sku":"9789811298479-new","price":186.2,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811298479.jpg?v=1776398166"},{"product_id":"introduction-applied-numerical-analysis-9789811298417-new","title":"An Introduction to Applied Numerical Analysis","description":"\u003cp\u003eThe book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544094310690,"sku":"9789811298417-new","price":82.27,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811298417.jpg?v=1776398168"},{"product_id":"numbers-functions-theory-formulation-python-codes-9789811287626-new","title":"Numbers and Functions: Theory, Formulation, and Python Codes","description":"\u003cp\u003eThis unique volume covers two fundamental elements of computational methods - numbers and functions. It provides an in-depth discussion of the behaviors of numbers, including both real and complex numbers. The discussion leads to the important closure properties of numbers, ensuring solution consistence and existence, and also possible failure in numerical computations in science and engineering.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis text then introduces types of functions that take numbers as independent variables and produce a single number. Approaches for constructing inverse functions are also provided. Frequently used basis functions are introduced, with detailed studies on their properties and behaviors. Techniques are presented for constructing basis functions and their use in function approximation in computational methods.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544109809954,"sku":"9789811287626-new","price":103.05,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811287626.jpg?v=1776398594"},{"product_id":"models-methods-quantum-condensation-fluids-9789811266041-new","title":"Models and Methods for Quantum Condensation and Fluids","description":"\u003cp\u003eThe Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on \u003cem\u003eQuantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications\u003c\/em\u003e from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis volume serves to inspire graduate students and researchers who will embark into original research work in these fields.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544202707234,"sku":"9789811266041-new","price":144.63,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811266041.jpg?v=1776400147"},{"product_id":"functional-distribution-anomalous-nonergodic-diffusion-9789811250491-new","title":"Functional Distribution of Anomalous \u0026 Nonergodic Diffusion","description":"\u003cp\u003eThis volume presents a pedagogical review of the functional distribution of anomalous and nonergodic diffusion and its numerical simulations, starting from the studied stochastic processes to the deterministic partial differential equations governing the probability density function of the functionals. Since the remarkable theory of Brownian motion was proposed by Einstein in 1905, it had a sustained and broad impact on diverse fields, such as physics, chemistry, biology, economics, and mathematics. The functionals of Brownian motion are later widely attractive for their extensive applications. It was Kac, who firstly realized the statistical properties of these functionals can be studied by using Feynman's path integrals.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eIn recent decades, anomalous and nonergodic diffusions which are non-Brownian become topical issues, such as fractional Brownian motion, L\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544344789282,"sku":"9789811250491-new","price":103.05,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811250491.jpg?v=1776401466"},{"product_id":"pract-numer-math-matlab-sol-9789811245206-new","title":"Pract Numer Math MATLAB (Sol)","description":"\u003cp\u003eThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544363565346,"sku":"9789811245206-new","price":61.48,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811245206.jpg?v=1776402191"},{"product_id":"pract-numer-math-matlab-wbk-9789811245190-new","title":"Pract Numer Math MATLAB (Wbk)","description":"\u003cp\u003eThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544363598114,"sku":"9789811245190-new","price":71.89,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811245190.jpg?v=1776402192"},{"product_id":"adv-math-comp-tool-metrol-xii-9789811242373-new","title":"Adv Math \u0026 Comp Tool Metrol XII","description":"\u003cp\u003eThis volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing. The volume has been produced by the International Measurement Confederation Technical Committee 21, Mathematical Tools for Measurements and is the twelfth in the series. The papers cover topics in numerical analysis and computational tools, statistical inference, regression, calibration and metrological traceability, computer science and data provenance, and describe applications in a wide range of application domains. This volume is useful to all researchers, engineers and practitioners who need to characterize the capabilities of measurement systems and evaluate measurement data. It will also be of interest to scientists and engineers concerned with the reliability, trustworthiness and reproducibility of data and data analytics in data-driven systems in engineering, environmental and life sciences.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544366186786,"sku":"9789811242373-new","price":186.2,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811242373.jpg?v=1776402312"},{"product_id":"explorat-numer-anal-python-ed-9789811229343-new","title":"Explorat Numer Anal (Python Ed)","description":"\u003cp\u003eThis textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eTopics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544414290210,"sku":"9789811229343-new","price":71.9,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811229343.jpg?v=1776403384"},{"product_id":"numerical-linear-algebra-9789811224843-new","title":"Numerical Linear Algebra","description":"\u003cp\u003eMany students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544438735138,"sku":"9789811224843-new","price":52.13,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811224843.jpg?v=1776403752"},{"product_id":"numerical-linear-algebra-9789811223891-new","title":"Numerical Linear Algebra","description":"\u003cp\u003eMany students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544440111394,"sku":"9789811223891-new","price":84.36,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811223891.jpg?v=1776403804"},{"product_id":"nonstandard-finite-difference-schemes-9789811222535-new","title":"Nonstandard Finite Difference Schemes","description":"\u003cp\u003e\u003cem\u003e\"This book contains a clear presentation of nonstandard finite difference schemes for the numerical integration of differential equations. A set of rules for constructing nonstandard finite difference schemes is also presented. An important feature of the book is the illustration of the various discrete modeling principles, by their application to a large number of both ordinary and partial differential equations.\"\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eMathematical Reviews\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis second edition of \u003cem\u003eNonstandard Finite Difference Models of Differential Equations\u003c\/em\u003e provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.\u003c\/p\u003e\u003cp\u003eOf real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the \"principle of dynamic consistency\" and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544441323810,"sku":"9789811222535-new","price":123.85,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811222535.jpg?v=1776403884"},{"product_id":"modeling-anomalous-diffusion-statistics-mathematics-9789811212994-new","title":"Modeling Anomalous Diffusion: From Statistics to Mathematics","description":"\u003cp\u003eThis book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, the built models show their power with their associated applications.\u003c\/p\u003e\u003cp\u003eThis book is important for students to develop basic skills to be able to succeed in their future research. In addition to introducing the related models or methods, it also provides the corresponding applications and simulation results, which will attract more readers ranging from mathematicians to physicists or chemists, to name a few.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544475205922,"sku":"9789811212994-new","price":103.05,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811212994.jpg?v=1776404706"},{"product_id":"intro-numeric-comput-2nd-ed-9789811205187-new","title":"Intro Numeric Comput (2nd Ed)","description":"\u003cp\u003eThis book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.\u003c\/p\u003e\u003cp\u003eThe book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.\u003c\/p\u003e\u003cp\u003eThe book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.\u003c\/p\u003e\u003cp\u003eThe second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544493719842,"sku":"9789811205187-new","price":51.09,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811205187.jpg?v=1776405330"},{"product_id":"intro-numeric-comput-2nd-ed-9789811204418-new","title":"Intro Numeric Comput (2nd Ed)","description":"\u003cp\u003eThis book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.\u003c\/p\u003e\u003cp\u003eThe book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.\u003c\/p\u003e\u003cp\u003eThe book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.\u003c\/p\u003e\u003cp\u003eThe second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544494375202,"sku":"9789811204418-new","price":103.06,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811204418.jpg?v=1776405367"},{"product_id":"mathematical-problems-relating-tov11-9789810238001-new","title":"Mathematical Problems Relating To..(V11)","description":"\u003cp\u003e\u003cstrong\u003eContents: \u003c\/strong\u003e A New Approach to the Helmholtz Decomposition and the Neumann Problem in Lq-Spaces for Bounded and Exterior Domains (C G Simader \u0026amp; H Sohr); On the Energy Equation and on the Uniqueness for D-Solutions to Steady Navier-Stokes Equations in Exterior Domains (G P Galdi); On the Asymptotic Structure of D-Solutions to Steady Navier-Stokes Equations in Exterior Domains (G P Galdi); On the Solvability of an Evolution Free Boundary Problem for the Navier-Stokes Equation in H\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544505876770,"sku":"9789810238001-new","price":56.28,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789810238001.jpg?v=1776405844"}],"url":"https:\/\/www.albakireads.com\/collections\/mathematics-numerical-analysis.oembed","provider":"AlbakiReads","version":"1.0","type":"link"}