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Concise Numerical Mathematics
 
Robert Plato Technical University of Berlin, Berlin, Germany

Also Available in Softcover GSM/57.S

Concise Numerical Mathematics
Hardcover ISBN:  978-0-8218-2953-0
Product Code:  GSM/57
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-2103-8
Product Code:  GSM/57.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Hardcover ISBN:  978-0-8218-2953-0
eBook: ISBN:  978-1-4704-2103-8
Product Code:  GSM/57.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
Concise Numerical Mathematics
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Concise Numerical Mathematics
Robert Plato Technical University of Berlin, Berlin, Germany

Also Available in Softcover GSM/57.S

Hardcover ISBN:  978-0-8218-2953-0
Product Code:  GSM/57
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-2103-8
Product Code:  GSM/57.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Hardcover ISBN:  978-0-8218-2953-0
eBook ISBN:  978-1-4704-2103-8
Product Code:  GSM/57.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 572003; 453 pp
    MSC: Primary 65

    This book succinctly covers the key topics of numerical methods. While it is basically a survey of the subject, it has enough depth for the student to walk away with the ability to implement the methods by writing computer programs or by applying them to problems in physics or engineering.

    The author manages to cover the essentials while avoiding redundancies and using well-chosen examples and exercises. The exposition is supplemented by numerous figures. Work estimates and pseudo codes are provided for many algorithms, which can be easily converted to computer programs. Topics covered include interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory, and computer arithmetic.

    In general, the author assumes only a knowledge of calculus and linear algebra. The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science.

    Readership

    Advanced undergraduates, graduate students, and research mathematicians interested in numerical methods; students in neighboring fields such as engineering, physics, and computer science.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Interpolation by polynomials
    • Chapter 2. Spline functions
    • Chapter 3. The discrete Fourier transform and its applications
    • Chapter 4. Solution of linear systems of equations
    • Chapter 5. Nonlinear systems of equations
    • Chapter 6. The numerical integration of functions
    • Chapter 7. Explicit one-step methods for initial value problems in ordinary differential equations
    • Chapter 8. Multistep methods for initial value problems of ordinary differential equations
    • Chapter 9. Boundary value problems for ordinary differential equations
    • Chapter 10. Jacobi, Gauss-Seidel and relaxation methods for the solution of linear systems of equations
    • Chapter 11. The conjugate gradient and GMRES methods
    • Chapter 12. Eigenvalue problems
    • Chapter 13. Numerical methods for eigenvalue problems
    • Chapter 14. Peano’s error representation
    • Chapter 15. Approximation theory
    • Chapter 16. Computer arithmetic
  • Additional Material
     
     
  • Reviews
     
     
    • From a review of the German edition:

      Appealing result of [the author's] endeavours ... The presentation is concise ... avoiding unnecessary redundancies, but nevertheless is self-contained ... even instructors are offered new views and insights ... the author offers many well-chosen exercises ... The book really is a valuable contribution to the literature on its subject.

      Zentralblatt MATH
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 572003; 453 pp
MSC: Primary 65

This book succinctly covers the key topics of numerical methods. While it is basically a survey of the subject, it has enough depth for the student to walk away with the ability to implement the methods by writing computer programs or by applying them to problems in physics or engineering.

The author manages to cover the essentials while avoiding redundancies and using well-chosen examples and exercises. The exposition is supplemented by numerous figures. Work estimates and pseudo codes are provided for many algorithms, which can be easily converted to computer programs. Topics covered include interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory, and computer arithmetic.

In general, the author assumes only a knowledge of calculus and linear algebra. The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science.

Readership

Advanced undergraduates, graduate students, and research mathematicians interested in numerical methods; students in neighboring fields such as engineering, physics, and computer science.

  • Chapters
  • Chapter 1. Interpolation by polynomials
  • Chapter 2. Spline functions
  • Chapter 3. The discrete Fourier transform and its applications
  • Chapter 4. Solution of linear systems of equations
  • Chapter 5. Nonlinear systems of equations
  • Chapter 6. The numerical integration of functions
  • Chapter 7. Explicit one-step methods for initial value problems in ordinary differential equations
  • Chapter 8. Multistep methods for initial value problems of ordinary differential equations
  • Chapter 9. Boundary value problems for ordinary differential equations
  • Chapter 10. Jacobi, Gauss-Seidel and relaxation methods for the solution of linear systems of equations
  • Chapter 11. The conjugate gradient and GMRES methods
  • Chapter 12. Eigenvalue problems
  • Chapter 13. Numerical methods for eigenvalue problems
  • Chapter 14. Peano’s error representation
  • Chapter 15. Approximation theory
  • Chapter 16. Computer arithmetic
  • From a review of the German edition:

    Appealing result of [the author's] endeavours ... The presentation is concise ... avoiding unnecessary redundancies, but nevertheless is self-contained ... even instructors are offered new views and insights ... the author offers many well-chosen exercises ... The book really is a valuable contribution to the literature on its subject.

    Zentralblatt MATH
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.