This unique open access book applies the functional OCaml programming language to numerical or computational weighted data science, engineering, and scientific applications. It's based on Owl, an OCaml-based numerical computing library.

This textbook was born of a desire to contribute a viable, free, introductory Numerical Analysis textbook. The ultimate goal of this book is to be a complete, one-semester, single-pdf, downloadable textbook designed for mathematics classes.

This textbook teaches Finite Element Methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools.

This book introduces students to Numerical Methods using Python for the implementation of the algorithms. Discusses several common applications of Numerical Analysis and implementation using real world examples and hands on programming exercises.

Exploring the techniques of interpolating data allows us to view the development and birth of a polynomial. This book is focused on laying a foundation for understanding and applying several common forms of Polynomial Interpolation.

This book presents a new approach to numerical analysis for modern computer scientists, covers a wide range of topics - from numerical linear algebra to optimization and differential equations - focusing on real-world motivation and unifying themes.

It covers the fundamentals while emphasizing the most essential numerical methods. Readers will enhance their programming skills using MATLAB to implement algorithms, discover how to use MATLAB to solve problems in science and engineering.

This book entitled Numerical Methods with Applications is written primarily for engineering undergraduates taking a course in Numerical Methods. It offers a unique treatise to numerical methods which is based on a holistic approach and short chapters.

This book teaches the principals of Fourier spectral methods, their utility in solving partial differential equation and how to implement them in code. The programs will use Matlab and Fortran. A Python implementation of some of the Matlab programs is also provided.

This book is intended for researchers in applied mathematics and scientific computing as well as for practitioners interested in understanding the theory of numerical methods used for eigenvalue problems.

Thoroughly details matrix computations and the accompanying theory alongside the author's useful insights, This book provides a clear and thorough introduction to matrix computations,a key component of scientific computing.

This book presents the theory and methods, together with the implementation of the algorithms using the Julia programming language. The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory.

This book is a book focused on introducing theoretical approaches of numerical analysis as well as applications of various numerical methods to either study or solving numerous theoretical and engineering problems.

This textbook provides a step-by-step approach to numerical methods in engineering modelling. It provides a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools.

This book is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing. It helps readers learn enough about the mathematical functions in MATLAB to use them correctly, and modify them appropriately, etc.

This book offers an initial introduction to programming for scientific and computational applications using the Python programming language. The presentation style is compact and example-based, assuming little or no prior experience in programming.

This book presents computer programming as a key method for solving mathematical problems using MATLAB and Octave. It is intended for novice programmers. Each treated concept is illustrated and explained in detail by means of working examples.

This book outlines the shortest possible path from no previous experience with programming to a set of skills that allows students to write simple programs for solving common mathematical problems with numerical methods in the context.

This is a practical, step-by-step guide that will help you to quickly become a proficient GNU Octave user. The book is packed with clear examples, screenshots, and code to carry out your data analysis without any problems.

This is a textbook that teaches the bridging topics between numerical analysis, parallel computing, code performance, large scale applications. it assumes a basic knowledge of numerical computation and proficiency in Fortran or C programming.

The book digs into linkers, compilers, operating systems, and computer architecture to understand how the different parts of the computer interact with programs. It begins with a review of C/C++ and explanations of how libraries, linkers, and Makefiles work.

This book is dealing with a broad range of topics, ranging from algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic to computer algebra problems in quantum computing.

This book provides a good deal of useful examples and algorithms for people working within the field of finance, in C++. All the routines have been made to confirm to the new ISO/ANSI C++ standard, using namespaces and the standard template library.

The GNU Scientific Library (GSL) is a free numerical library for C and C++ programmers. It provides over 1,000 routines for solving mathematical problems in science and engineering. This reference manual is the definitive guide to the library.

This book explores new and relevant numerical methods for the solution of practical problems in finance. It is one of the few books entirely devoted to numerical methods as applied to the financial field.

The basic premise of this book is that it can serve as the basis for a wide range of courses that discuss numerical methods used in data analysis and science. To reflect this, the subject matter is wide ranging and perhaps too broad for a single course.

This textbook provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization.

This easy-to-read book introduces the basics of solving partial differential equations by means of Finite Difference Methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners.

This book introduces Finite Difference Methods for differential equations and discusses the similarities and differences between algorithm design and stability analysis for different types of equations.

This book is designed to provide readers with a comprehensive and up-to-date account of the Boundary Element Methods (BEM) and its application to problems in engineering and science, with historical development, basic theory, derivation and examples.

This book is aimed at presenting the theory and practice of Finite Element Method (FEM) in a manner which makes it is easy to learn the concepts, analysis, and methodology of FEM through simple derivations and worked out examples in interdisciplinary areas.

This book presents represents a numerical technique for finding approximate solutions to partial differential equations as well as integral equations, permitting the numerical analysis of complex structures based on their material properties.

This book provides a bird's eye view on this very broad matter through original and innovative research studies exhibiting various investigation directions. You will gain a better understanding of where Finite Element Analysis stands today.

This book covers a broad range of practical applications involving electric and magnetic fields. The text emphasizes finite-element techniques to solve real-world problems in research and industry.

This book presents computer programming as a key method for solving mathematical problems using Python. Each treated concept is illustrated and explained in detail by means of working examples. It is intended for novice programmers and engineers.

This book contains a detailed introduction to the Fortran 90 language and to the basic concepts of parallel programming, plus source code for all routines from the second edition of Numerical Recipes.

The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing.

This is a complete text and reference book on scientific computing. This is the second edition with C programming. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines.

This open access book explains the foundations of modern solvers for ordinary differential equations (ODEs). Explicit and implicit methods are motivated and explained, and all the solvers are implemented as a class hierarchy in Python.

This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, it guides readers through the essential steps to quickly solving a PDE in FEniCS.

This book provides an introduction to the design of the LAPACK95 package, a detailed description of its contents, reference manuals for the leading comments of the routines, and example programs.

This free book provides an introduction to the design of the LAPACK package, a detailed description of its contents, reference manuals for the leading comments of the routines, and example programs

This book provides an introduction to its latest standard: Fortran 95, the most important language for scientific and engineering computation.

NumPy is one of the most important scientific computing libraries available for Python. This book teaches you how to achieve expert level competency to perform complex operations, with in-depth coverage of advanced concepts.

This book is for programmers, scientists, or engineers, who have basic Python knowledge and would like to be able to do numerical computations with Python. It will give you a solid foundation in NumPy arrays and universal functions.

They provide everything you need to know to get started with NumPy. They also explain the basics of NumPy such as its architecture and environment, discusses the various array functions, types of indexing, etc. With examples for better understanding.

This book is the teaching material on the scientific Python ecosystem, a quick introduction to central tools and techniques. It is for programmers from beginner to expert. Work on real-world problems with SciPy, NumPy, Pandas, scikit-image, and other Python libraries.

This book offers readers a quick, thorough grounding in knowledge of the Python open source extension SciPy. The SciPy library, accompanied by its interdependent NumPy, offers Python programmers advanced functions that work with arrays and matrices.

This book is an introduction to the computational methods used in physics, but also in other scientific fields. Both C++ or Fortran are used for programming the core programs and data analysis is performed using the powerful tools of the Gnu/Linux environment.

This book summarises a number of core ideas relevant to Computational Engineering and Scientific Computing using Python. The emphasis is on introducing some basic Python (programming) concepts that are relevant for numerical algorithms.

The goal of this book is to provide you with skills in scientific computing: tools and techniques that you can use in your own scientific research. We will focus on learning to think about experiments and data in a computational framework.

The book handles the numerical simulations of physical and engineering systems. It can be treated as a bridge linking various numerical approaches of two closely inter-related branches of science, i.e. physics and engineering.

This book presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra. It puts the Body and Soul computational finite element methodology in practical use.

This book is served as a reference text to meet the needs of advanced scientists and research engineers who seek for their own computational fluid dynamics (CFD) skills to solve a variety of fluid flow problems.