Kindly note that we have put a lot of effort into researching the best books on Numerical Analysis subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Numerical Analysis" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.
1. “An Introduction to Numerical Analysis” by K E Atkinson
“An Introduction to Numerical Analysis” Book Review: This book is an introduction to numerical analysis. The main chapters introduced are solution of equations by iteration, solution of systems of linear equations, special matrices. Other chapters included are simultaneous nonlinear equations, polynomial interpolation, numerical integration, approximation in the 2norm. Exercises are added at the end of every chapter to practice. Notes are also added at the end for reviewing. This book can be useful for applied mathematics and engineering students.


2. “Elementary numerical Analysis – An Algorithmic Approach” by S D Conte and C De Boor
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“Elementary numerical Analysis – An Algorithmic Approach” Book Review: This book provides the information regarding theory and practice of scientific computing. Major chapters included are number systems and errors, interpolation by polynomials, the solution of nonlinear equations. Other topics mentioned are matrices and systems of linear equations, approximations, differentiation and integration. All the methods discussed in this book are supported with examples and information tables. This book is suitable for undergraduate engineering and applied mathematics students.


3. “Computational Differential Equations” by K Erikson
“Computational Differential Equations” Book Review: This book contains an introduction to the computational solutions of differential equations. Important chapters involved are linear algebra, polynomial approximation, Galerkin’s method, solving linear algebraic systems. Other chapters involved are twopoint boundary value problems, scalar initial value problems, calculus of variations. All the principles and models are explained in detail. This book can be used by undergraduate engineering students.


4. “Numerical Methods for Scientific and Engineering Computations” by M K Jain
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“Numerical Methods for Scientific and Engineering Computations” Book Review: This book covers the basic principles of numerical analysis. Main chapters included are high speed computation, transcendental and polynomial equations, system of linear algebraic equations. Other topics mentioned are interpolation and approximation, differentiation and integration. Exercises and problems added for practice of students. This book can be referred to by computational engineering students.


5. “Numerical Solution of Differential Equations” by M K Jain
“Numerical Solution of Differential Equations” Book Review: This book describes the derivation of the methods of finite difference elements. Main chapters involved are initial and boundary problems of ordinary and partial differential equations. Other topics mentioned are stiff, high oscillatory and convectiondiffusion. A large number of problems are discussed for making the concepts clear. This book is suitable for applied mathematics, physics and engineering students.


6. “Introductory Methods of Numerical Analysis” by S S Sastry
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“Introductory Methods of Numerical Analysis” Book Review: This book focuses on fundamentals of numerical methods used for computational applications. Main chapters included are errors in numerical calculations, solution of algebraic and transcendental equations, interpolation. Other topics mentioned are least squares and fourier transforms, spline functions, numerical differentiation and integration. Exercises and problems are added for students’ practice. This book is useful for undergraduate engineering students.


7. “Numerical Analysis” by Richard L Burden and J Douglas Faires
“Numerical Analysis” Book Review: This book focuses on numericalapproximation techniques. Major chapters involved are mathematical preliminaries and error analysis, solutions of equations on one variable, interpolation. Other topics mentioned are polynomial approximation, numerical differentiation, approximation theory and integration. Colourful images with graphs are used for clear explanation. Theoretical and discussion questions are added for students. This book can be used by undergraduate engineering and applied mathematics students.


8. “Numerical Methods: Problems and Solutions” by Mahinder Kumar Jain
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“Numerical Methods: Problems and Solutions” Book Review: This book provides various questions and answers on multiple numerical methods. Chapters introduced are numerical solutions of transcendental and polynomial equations, system of linear algebraic equations and eigenvalue problems. Other chapters included are interpolation and approximation, differentiation and integration, ordinary differential equations. Over 300 problems with solutions are added in this book. Turbo pascal programs are provided in the appendix. This book is suitable for undergraduate engineering students.


9. “Numerical Analysis” by Kalyan Mukherjee
“Numerical Analysis” Book Review: This book covers the main topics of numerical analysis. Main chapters included are polynomial approximation, numerical differentiation, approximation theory and integration. Multiple choice questions are added for student’s practice. This book is useful for undergraduate engineering students.


10. “Numerical Analysis: Mathematics of Scientific Computing” by David Kincaid
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“Numerical Analysis: Mathematics of Scientific Computing” Book Review: This book presents multiple mathematical analysis techniques used in scientific computing. Main chapters involved are computer arithmetic, solution of nonlinear equations, solving systems of linear equations. Other topics mentioned are approximating functions, numerical differentiation and integration. Methods and equations are discussed in detail. This book can be referred to by computer, IT engineering and applied mathematics students.


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