We have compiled the list of Best Reference Books on Numerical Analysis subject. These books are used by students of top universities, institutes and colleges. Here is the full list of best books on Numerical Analysis along with reviews.
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 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.
List of Numerical Analysis Books with author’s names, publishers, and an unbiased review as well as links to the Amazon website to directly purchase these books.
 Introduction to Numerical Analysis
 Basic Numerical Skills
 Numerical Analysis
 Advance Numerical Analysis
 Computer Oriented Numerical Analysis and Statistical Methods
1. Introduction to Numerical Analysis
1. “Elementary Numerical Analysis An Algorithmic Approach” by S D Conte
Book Review: This book covers various concepts related to elementary numerical analysis and provides numerous examples at the elementary level. The book also provides algorithms as pseudocodes and provides a quick and nice understanding of the algorithms. This book is very useful for engineers, physicists, mathematicians, computer scientists and many others.


2. “Introduction to Numerical Analysis” by C E Froberg  
3. “An Introduction to Numerical Methods and Analysis, Solutions Manual” by James F Epperson
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“An Introduction to Numerical Methods and Analysis, Solutions Manual” Book Review: The book highlights the mathematical principles behind approximation. It is recommended to undergraduate students studying numerical methods and analysis. The book begins with an overview and fundamentals before diving into complex topics. Subsequent chapters deal with concepts of computational mathematics such as Taylor’s Theorem in depth. Emphasis is laid on applications of numerical mathematics. The reader can find numerous worked out problems presented in the book.


4. “A Theoretical Introduction to Numerical Analysis ” by Ryaben’kii Tsynkov
“A Theoretical Introduction to Numerical Analysis” Book Review: The book deals with the methodologies of numerical mathematics. It is recommended to students of practitioners studying or working on computer based mathematical models. The book covers the basic concepts such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. Further, complex topics such as intrinsic error limits, Chebyshev interpolation, gaussian quadratures, differential equations are also addressed. The concepts are complemented by exercises throughout the text.


5. “A Friendly Introduction to Numerical Analysis” by Brian Bradie  
6. “Introduction to Numerical Analysis” by Gautschi Witzgall Stoer
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“Introduction to Numerical Analysis” Book Review: The book covers essential fundamentals of numerical analysis. It is prescribed to students of undergraduate level courses in numerical mathematics. The book takes both classical and modern approaches in dealing with the subject. Fast Fourier transforms, minimization methods, differential algebraic systems, are explained in the book. Readers can also find many solved problems and exercises aiding the elucidated concepts.


7. “A Brief Introduction to Numerical Analysis” by Tyrtyshnikov
“A Brief Introduction to Numerical Analysis” Book Review: The book illustrates the advanced concepts of numerical analysis. It can be accessed by students of advanced level courses and researchers of the subject. Concepts of matrix analysis are given importance in the text. Function approximations, methods of solving nonlinear equations, and minimization methods are also covered. Classical methods are studied along with their implementation in the modern methods.


8. “Introduction to Numerical Analysis” by Arnold Neumaier
“Introduction to Numerical Analysis” Book Review: The book focuses on constructive methods for numerical analysis. It is suitable for students and researchers alike. The book illustrates the significance of constructive methods employed in the solution of numerical problems along with the analysis of data errors, finiteprecision calculations. It also describes the implementation of computational mathematics using MATLAB.
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9. “Introduction to Numerical Analysis and Scientific Computing” by Nassif Fayyad
“Introduction to Numerical Analysis and Scientific Computing” Book Review: The book presents fundamentals of numerical mathematics. It targets students interested in the domain. It covers implementation as well as programming of numerical methods. A few of the topics covered are: floatingpoint number representations, nonlinear equations, linear algebra concepts, the LaGrange interpolation theorem, numerical differentiation and integration. It also elucidates the use of MATLAB in applications and implementations of numerical methods.


2. Basic Numerical Skills
1. “Schaum’s Outline of Numerical Analysis (Schaum’s Outline Series)” by Francis Scheid
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“Schaum’s Outline of Numerical Analysis (Schaum’s Outline Series)” Book Review: This book covers important mathematics concepts of linear algebra, numerical analysis and differential calculus. Main topics covered in this book are collocation polynomial, finite differences, factorial polynomial, the newton formula and splines. Other topics discussed are numerical integration, sums and series, difference equations, gaussian integrals and many more. Total of 30 chapters are included in this book. Approximately 846 fully solved examples are given for better understanding. Engineering and diploma students can refer to this book.


2. “Numerical Analysis & Computational Methods” by V N Chougule
“Numerical Analysis & Computational Methods” Book Review: This book describes the fundamentals of numerical analysis and computational methods. Chapters mentioned in this book are software development, solutions of transcendental equations, numerical integration and interpolation. Other topics included are curve fitting, finite element analysis and finite difference methods. A large number of examples are solved in this book. Hints are added in the exercises for better practice. This book is suitable for second year engineering students of computer, IT, mechanical and electrical engineering.


3. “Turbulence in Fluids: Stochastic and Numerical Modelling (Mechanics of Fluids and Transport Processes)” by Marcel Lesieur
“Turbulence in Fluids: Stochastic and Numerical Modelling (Mechanics of Fluids and Transport Processes)” Book Review: This book explains the topic of turbulence in depth. Topics such as behaviour of dynamic systems, stability of flows, transition to turbulence and the fourier space are discussed properly. Other topics namely diffusion of passive scalars, twodimensional turbulence and the statistical predictability theory are also mentioned. Diagrams with proper labelling are provided. This book can be used by undergraduate students of mechanical and automobile engineering.


4. “Advances in Numerical Modeling of Adhesive Joints (SpringerBriefs in Applied Sciences and Technology)” by Lucas Filipe Martins da Silva and Raul D S G Campilho
“Advances in Numerical Modelling of Adhesive Joints (Springer Briefs in Applied Sciences and Technology)” Book Review: This book describes the latest numerical modelling of adhesive joints. Main chapters are advances in damage mechanics, extended finite element method and the classical consortium mechanics. Other chapters included are the boundary element method, the finite difference method and fracture mechanics approach. This book can be referred to by mechanical engineering students.


5. “Technological Aspects of Manufacturing and Numerical Modelling of ClinchAdhesive Joints” by Tomasz Sadowski and Tadeusz Balawender
“Technological Aspects of Manufacturing and Numerical Modelling of ClinchAdhesive Joints” Book Review: This book provides the analysis of technological factors that hinder the plastic forming of the clinch joints. Main topics included in this book are hybrid joints, adherent materials, strain hardening curves and strength. This book contains experimental results and numerical calculations of clinch joints from different data sheets. This book can be used by students of applied science and technology.


6. “Numerical Modelling of Material Deformation Processes: Research, Development and Applications” by Peter Hartley and Ian Pillinger
“Numerical Modelling of Material Deformation Processes: Research, Development and Applications” Book Review: This book describes the development of numerical modelling techniques. The main chapters included in this book are classic plasticity, finite deformation of solids and isotropic plasticity. Other topics included are the upper bound method and anisotropic plasticity. Analytical representations are provided throughout the topics. A comprehensive survey of the techniques is also given. This book is suitable for technology & science and material science professionals.


7. “Ultimate Aptitude Tests: Assess and Develop Your Potential with Numerical, Verbal and Abstract Tests” by Jim Barrett
“Ultimate Aptitude Tests: Assess and Develop Your Potential with Numerical, Verbal and Abstract Tests” Book Review: This book is an aptitude test book which provides questions and answers. The topics on which questions are provided are numbers, general mathematics and English. This book provides over 1000 realistic practice questions with detailed answers. This book is useful for people who want to clear aptitude tests of any organizations.


8. “Ultimate Psychometric Tests: Over 1000 Verbal Numerical Diagrammatic and IQ Practice Tests” by Mike Bryon
“Ultimate Psychometric Tests: Over 1000 Verbal Numerical Diagrammatic and IQ Practice Tests” Book Review: This book contains numerous questions which can be asked in job interviews. The main topics included are verbal reasoning, numerical reasoning, personality questions and IQ tests. Other tests include topics like special recognition visual estimation and situation awareness. It contains over 1000 practice test questions. Some of the questions asked in tests of L’Oréal, HMV, Toyota and IKEA have also been mentioned. This book is for the people going through the job selection process.


9. “ASSET Test Numerical Skills Success Study Guide: ASSET Numerical Skills Practice Test Problems and Solutions” by Academic Success Media
“ASSET Test Numerical Skills Success Study Guide: ASSET Numerical Skills Practice Test Problems and Solutions” Book Review: This book provides tips and tricks for cracking a numerical skill exam along with that it also explains the concepts of mathematics. The topics covered in this book are absolute value, computation with integers, fraction, mixed number and ratios. Other topics mentioned are prime numbers, scientific notations, setting up basic equations and square roots. This book consists of 50 practice tests with clear solutions. This book is for students who want to clear a numerical skills exam.


3. Numerical Analysis
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
“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
“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
“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
“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
“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.


4. Advance Numerical Analysis
1. “Numerical Analysis – SIE” by Francis Scheid
“Numerical Analysis – SIE” Book Review: The book describes fundamental theory of important equations. It also gives their mathematical derivations. It provides various examples and exercise questions for better understanding of the topic. The postgraduate students will find this book valuable.


2. “Numerical Modeling of Materials Under Extreme Conditions (Advanced Structured Materials)” by Nicola Bonora and Eric Brown
“Numerical Modeling of Materials Under Extreme Conditions (Advanced Structured Materials)” Book Review: This book explains the numerical modeling of materials under large strain, high strain rates, large pressure and high stress triaxiality. The book describes shock compression related phenomena, including material response identification, advanced modeling incorporating microstructure and damage, stress wave propagation in solids and structures response under impact. It discusses structural behaviour of material under large strain and multiaxial state of stress.


3. “Numerical Solutions of Partial Differential Equations (Advanced Courses in Mathematics – CRM Barcelona)” by Silvia Bertoluzza and Silvia Falletta
“Numerical Solutions of Partial Differential Equations (Advanced Courses in Mathematics – CRM Barcelona)” Book Review: The book is useful for researchers who are interested in knowing about numerical solutions of partial differential equations. It gives information about the use of wavelets in solving these equations. The book explains shockcapturing schemes for systems of conservation and balance laws. This book presents discontinuous galerkin methods for solving these equations. It covers cell entropy inequalities, nonlinear stability and error estimates.


4. “Numerical Mathematics and Advanced Applications – ENUMATH 2013” by Assyr Abdulle and Marco Picasso
“Numerical Mathematics and Advanced Applications – ENUMATH 2013” Book Review: The book is beneficial for anyone interested in numerical methods and scientific computing. The book provides the latest developments in numerical analysis and computational mathematics. It consists of solutions by finite element methods, multiscale methods, numerical linear algebra and discretization techniques for fluid mechanics.


5. “Numerical Analysis” by Richard L Burden and J Douglas Faires  
6. “Applied Numerical Analysis” by Gerald
“Applied Numerical Analysis” Book Review: The book presents various computer algebra systems such as Maple, Mathematica and MATLAB. The book gives programming in FORTRAN and C. It describes partial differential equations. It also discusses systems of nonlinear equations and matrix algebra.


7. “Engineering Mathematics and Numerical Analysis (GSEA03)” by Made Easy Editorial Board
“Engineering Mathematics and Numerical Analysis (GSEA03)” Book Review: This book can benefit anyone interested in engineering mathematics and numerical analysis. The book is written in a simple and studentfriendly manner. It discusses various concepts of engineering aptitude and reasoning. The book provides various questions for practice.


8. “Numerical Analysis with Algorithms and Computer Programs in C++” by Wadhwa A
“Numerical Analysis with Algorithms and Computer Programs in C++” Book Review: This book will be a suitable text for students pursuing B.Sc. in physics, electronics and mathematics. It presents various algorithms, which have been directly transformed into programs in C++. The book gives practical work in numerical analysis. It discusses numerical methods for solving various equations such as nonlinear algebraic equations, simultaneous linear equations, differentiation, integration and curve fitting. It provides a number of examples and exercises of programming at the end of each chapter.


9. “A Friendly Introduction to Numerical Analysis” by BRADIE
“A Friendly Introduction to Numerical Analysis” Book Review: The book presents comparison of numerical methods on the basis of accuracy, error, boundaries and speed of convergence. It provides a number of theoretical, applications and coding questions. The book ranges from basic methods to more complex topics. The book is written in a simple and understandable manner.


10. “Numerical Analysis of Heat and Mass Transfer in Porous Media” by Marta Vázquez da Silva and ANTONIO GILSON BARBOSA DE LIMA
“Numerical Analysis of Heat and Mass Transfer in Porous Media” Book Review: This book is beneficial for scientists, engineers and researchers. The book describes recent theoretical and computational advances in the field of heat and mass transfer in porous media and transport phenomenon domain. The book contains information about various concepts related to numerical transport phenomena. It also includes the applications of numerical transport phenomena.


5. Computer Oriented Numerical Analysis and Statistical Methods
1. “Computer Oriented Numerical Methods” by Rajaraman
“Computer Oriented Numerical Methods” Book Review: This book is a brief and lucid introduction to computeroriented numerical methods with chosen graphical illustrations that give an insight into the mechanism of various methods suitable for students interested in the field and engineering aspirants. This book develops computational algorithms for solving nonlinear algebraic equations, sets of linear equations, curvefitting, integration, differentiation, and solving ordinary differential equations.


2. “Fundamentals of Numerical Computation” by G Alefeld and R Grigorieff  
3. “Computer Oriented Numerical Methods” by R S Salaria
“Computer Oriented Numerical Methods” Book Review: This book provides thorough coverage of the subject, ensures the conceptual understanding of numerical methods, formulae for different numerical methods have been derived in the simplest manner, algorithms for these methods are developed using pseudolanguage, a large number of programming exercises to test your for reference, a large number of multiplechoice questions and review exercises to test the users programming skills collected. In this book, the majority of the algorithms are implemented in C, C++, and FORTRAN languages suitable for students interested in the field.


4. “Computer Oriented Numerical Methods” by N Datta
“Computer Oriented Numerical Methods” Book Review: This book gives the algorithms required for easy implementation of numerical methods in computer programming. The book deals with the important topics of numerical methods, including errors in numerical computation, in a lucid style. The contents of the book go like: Numerical Methods and errors Interpolation, Numerical Differentiation, Numerical Integration, Solution of Algebraic and Transcendental Equations, Numerical Solution of a System of Linear Equations, Numerical Solution of Ordinary differential equations, Curve fitting, Numerical Solution of problems associated with Partial Differential Equations. This book gives the user chapterend short questions with answers and appendices with theory questions and ‘C’ programs which is a studentfriendly feature of the book.


5. “Numerical Analysis with Algorithms and Computer Programs in C++” by Wadhwa A
“Numerical Analysis with Algorithms and Computer Programs in C++” Book Review: This book is intended for the students of B. Sc. (Hons.) Physics, B. Sc. (Hons.) Electronics, and B. Sc. (Hons.) Mathematics as well as engineering students of all disciplines. The book gives a brief introduction to Numerical Methods, blended with the traditional algebraic approach and the computerbased approach. The special importance is given to evolving algorithms that have been directly transformed into programs in C++. In this book, each numerical method, used for solving nonlinear algebraic equations, simultaneous linear equations, differentiation, integration, ordinary differential equations, curve fitting, and so on, is accompanied by an algorithm and the corresponding computer program.


6. “A Student’s Guide to Numerical Methods South Asia Edition” by Ian H Hutchinson
“HandsOn Programming with R” “A Student’s Guide to Numerical Methods South Asia Edition” Book Review: This brief, plainlanguage guide for senior undergraduates and graduate students intends to develop inspiration, practical skills, and an understanding of the structure of numerical methods for the physical sciences and engineering. This book provides accessible selfcontained explanations of mathematical principles, avoiding intimidating formal proofs. Worked examples and targeted exercises in this book enable the student to master the realities of using numerical techniques for basic needs such as a solution of ordinary and partial differential equations, fitting experimental data, and simulation using particle and Monte Carlo methods. This book comes with carefully selected topics and is structured to build understanding, and illustrate key principles such as accuracy, stability, order of convergence, iterative refinement, and computational effort estimation. This book can be used for selfstudy, or as the basis of an accelerated introductory class, this compact textbook provides a thorough grounding in computational physics and engineering.


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