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Mathematical Methods for Physics and Engineering
A Comprehensive Guide

3rd Edition

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  • Date Published: May 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521679718
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  • The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

    • Contains all the mathematical material likely to be needed for any undergraduate course in the physical sciences
    • Maintains the method and clarity of presentation that has been much praised in earlier editions
    • Over 800 exercises: half with complete solutions available; half suitable for unaided homework - the only book at this level to have fully-worked solutions to ALL of its problems
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    Reviews & endorsements

    From reviews of previous editions: '…a great scientific textbook. It is a tour de force … to write mathematical sections that are both complete and at an appropriate academic level. The authors have clearly succeeded in this challenge, making this a remarkable pedagogical book … The choice of exercises is excellent and possibly the best feature of the book. In summary, this textbook is a great reference at undergraduate levels, particularly for those who like to teach or learn using lots of examples and exercises.' R. Botet, European Journal of Physics

    '… the book provides scientists who need to use the tool of mathematics for practical purposes with a single, comprehensive book. I recommend this book not only to students in physics and engineering sciences, but also to students in other fields of natural sciences.' P. Steward, Optik

    '… suitable as a textbook for undergraduate use … this is a book that in view of its content and its modest softcover price, will find its way on to many bookshelves.' Nigel Steele, The Times Higher Education Supplement

    'Riley et al. has clear, thorough and straightforward explanations of the subjects treated. It rigorously adopts a three-stage approach throughout the book: first a heuristic, intuitive introduction, then a formal treatment, and finally one or two examples. This consistent presentation, the layout, and the print quality make the book most attractive … and value for money. It contains a thousand pages, there are plenty of exercises with each chapter.' J. M. Thijssen, European Journal of Physics

    This is a valuable book with great potential use in present-day university physics courses. Furthermore, the book will be useful for graduate too, and researchers will find it useful for looking up material which they have forgotten since their undergraduate days.' J. M. Thijssen, European Journal of Physics

    'This textbook is a well-written, modern, comprehensive, and complete collection of topics in mathematical methods ranging from a review of differential and integral calculus to group and representation theory, probability, the calculus of variations, and tensors.' Science Books and Films

    'This is a very comprehensive textbook suitable for most students enrolling on undergraduate degree courses in engineering. It contains 31 stand-alone chapters of mathematical methods which enable the students to understand the principles of the basic mathematical techniques and the authors have produced a clear, thorough and straightforward explanation of each subject. … finding a single textbook which covers the engineering student's need throughout their entire course is by no means an easy task. I believe the authors have achieved it … complete fully worked solutions … which I think is a useful asset for both students and lecturers.' Civil Engineering

    ' ... this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics ever likely to be needed for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics covered and many worked examples, it contains more than 800 exercises.' L'enseignement mathematique

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    Customer reviews

    17th Oct 2024 by UName-52024

    This is an excellent book for beginners and experts because it contains a lot of solved examples.

    Review was not posted due to profanity

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    Product details

    • Edition: 3rd Edition
    • Date Published: May 2006
    • format: Paperback
    • isbn: 9780521679718
    • length: 1359 pages
    • dimensions: 248 x 174 x 56 mm
    • weight: 2.69kg
    • contains: 235 b/w illus. 820 exercises
    • availability: Available
  • Table of Contents

    Prefaces
    1. Preliminary algebra
    2. Preliminary calculus
    3. Complex numbers and hyperbolic functions
    4. Series and limits
    5. Partial differentiation
    6. Multiple integrals
    7. Vector algebra
    8. Matrices and vector spaces
    9. Normal modes
    10. Vector calculus
    11. Line, surface and volume integrals
    12. Fourier series
    13. Integral transforms
    14. First-order ordinary differential equations
    15. Higher-order ordinary differential equations
    16. Series solutions of ordinary differential equations
    17. Eigenfunction methods for differential equations
    18. Special functions
    19. Quantum operators
    20. Partial differential equations: general and particular
    21. Partial differential equations: separation of variables
    22. Calculus of variations
    23. Integral equations
    24. Complex variables
    25. Application of complex variables
    26. Tensors
    27. Numerical methods
    28. Group theory
    29. Representation theory
    30. Probability
    31. Statistics
    Index.

  • Instructors have used or reviewed this title for the following courses

    • Differential Equations and Boundary Value Problems
    • Electrical Engr. Analysis
    • Intermediate classical mechanics
    • Math Methods for Physics and Engineering I
    • Mathematical & Computational Methods
    • Mathematical Methods for Engineers
    • Mathematical Methods for the Physical Sciences
    • Mathematical Methods in Engineering and Physics
    • Mathematical Techniques of Physics
    • Techniques of Theoretical Physics
    • Techniques of Theoretical Physics I
    • Theoretical Methods in Science
    • Vector and Complex analysis
  • Authors

    K. F. Riley, University of Cambridge

    M. P. Hobson, University of Cambridge

    S. J. Bence

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