# 100 Best Numerical Analysis Books of All Time

We've researched and ranked the best numerical analysis books in the world, based on recommendations from world experts, sales data, and millions of reader ratings. Learn more

An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

lessEric Weinstein[Eric Weinstein recommended this book on Twitter.] (Source)

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

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**apply the book's ideas to your own life**with our educators' guidance.

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

*Applied Iterative Methods*is a self-contained treatise suitable as both a reference and a graduate-level textbook in the area of iterative algorithms. It is the first book to combine subjects such as optimization, convex analysis, and approximation theory and organize them around a detailed and mathematically sound treatment of iterative algorithms. Such algorithms are used in solving problems in a diverse area of applications, most notably in medical imaging such as emission and transmission tomography and magnetic-resonance imaging, as well as in intensity-modulated radiation... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

**The seventh edition of this classic text has retained the features that make it popular, while updating its treatment and inclusion of Computer Algebra Systems and Programming Languages. Interesting and timely applications motivate and enhance readers' understanding of methods and analysis of results. This text incorporates a balance of theory with techniques and applications, including optional theory-based sections in each chapter. The exercise sets include additional challenging problems and projects which show practical applications of the material. Also, sections which discuss... more**

Author Ronald A. Howard, Professor of Management Science and Engineering at Stanford... more

**KEY TOPICS:**This book covers numerous topics including Interpolation and Polynomial Approximation, Curve Fitting, Numerical Differentiation, Numerical Integration, and Numerical Optimization.

**MARKET:**For engineering and computer science fields. less

**Save 10% when you order the complete set!**A monumental 4-volume reference, 15 years in the making,

*The World of Mathematics*was specially designed to make mathematics more accessible to the inexperienced. It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers. less

*Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods*focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow.

For practical reasons, the finite element method, used more often for... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

**Numerical Analysis, Second Edition**, is a modern and readable text. This book covers not only the standard topics but also some more advanced numerical methods being used by computational scientists and engineers--topics such as compression, forward and backward error analysis, and iterative methods of solving equations--all while maintaining a level of discussion appropriate for undergraduates. Each chapter contains a Reality Check, which is an extended exploration of relevant application areas that can launch individual or team projects. MATLAB(R) is used... more

Based on each author's more than 40 years of experience in teaching university courses, this book offers lucid,... more

*Analyse fonctionnelle*(1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis

*together*with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

Following an introductory chapter on sources of error and computer arithmetic, the text covers such topics as approximation and algorithms, interpolation, numerical differentiation and numerical quadrature, the numerical solution of ordinary differential equations, functional... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

*Real Computing Made Real*offers practical advice on detecting and removing bugs. It also outlines techniques for preserving significant figures, avoiding extraneous solutions, and finding efficient iterative processes for solving nonlinear equations.

Those who compute with real numbers (for example, floating-point numbers stored with limited precision) tend to develop techniques that increase the frequency of useful answers. But... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

*The Oxford Users' Guide to Mathematics*represents a comprehensive handbook on mathematics. It covers a broad spectrum of mathematics including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimization, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. This is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics.

The book offers a broad modern... more

An extensive range of topics includes round-off and function evaluation, real zeros of a function, simultaneous linear equations and matrices, interpolation and roundoff estimation, integration, and ordinary differential equations. Additional subjects... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.

*Numerical Methods and Optimization in Finance*presents such computational techniques, with an emphasis on simulation and optimization, particularly so-called heuristics. This book treats quantitative analysis as an essentially computational discipline in which applications are put into software form and tested... more

*Computational Methods for Electromagnetics*is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finite-element procedures. In addition, readers will gain a thorough understanding of numerical solution procedures. Topics covered include:

Two- and three-dimensional integral equation/method-of-moments formulations Open-region... more

"Finding" useful functions and "using" them correctly, efficiently, and in easily readable code are two very different things. You'll learn by example with some of the best code available, selected to cover a wide range of SciPy and related libraries including scikit-learn, scikit-image,... more

**Don't have time to read the top Numerical Analysis books of all time? Read Shortform summaries.**

Shortform summaries help you learn 10x faster by:

- Being comprehensive: you learn the
**most important points in the book** - Cutting out the fluff: you focus your time on what's important to know
- Interactive exercises:
**apply the book's ideas to your own life**with our educators' guidance.