Book contents
- Frontmatter
- Contents
- Preface
- 1 Matrices and vector spaces
- 2 Vector calculus
- 3 Line, surface and volume integrals
- 4 Fourier series
- 5 Integral transforms
- 6 Higher-order ordinary differential equations
- 7 Series solutions of ordinary differential equations
- 8 Eigenfunction methods for differential equations
- 9 Special functions
- 10 Partial differential equations
- 11 Solution methods for PDEs
- 12 Calculus of variations
- 13 Integral equations
- 14 Complex variables
- 15 Applications of complex variables
- 16 Probability
- 17 Statistics
Preface
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- 1 Matrices and vector spaces
- 2 Vector calculus
- 3 Line, surface and volume integrals
- 4 Fourier series
- 5 Integral transforms
- 6 Higher-order ordinary differential equations
- 7 Series solutions of ordinary differential equations
- 8 Eigenfunction methods for differential equations
- 9 Special functions
- 10 Partial differential equations
- 11 Solution methods for PDEs
- 12 Calculus of variations
- 13 Integral equations
- 14 Complex variables
- 15 Applications of complex variables
- 16 Probability
- 17 Statistics
Summary
For reasons that are explained in the preface to Essential Mathematical Methods for the Physical Sciences the text of the third edition of Mathematical Methods for Physics and Engineering (MMPE) (Cambridge: Cambridge University Press, 2006) by Riley, Hobson and Bence, after a number of additions and omissions, has been republished as two slightly overlapping texts. Essential Mathematical Methods for the Physical Sciences (EMMPS) contains most of the more advanced material, and specifically develops mathematical methods that can be applied throughout the physical sciences; an augmented version of the more introductory material, principally concerned with mathematical tools rather than methods, is available as Foundation Mathematics for the Physical Sciences. The full text of MMPE, including all of the more specialized and advanced topics, is still available under its original title.
As in the third edition of MMPE, the penultimate subsection of each chapter of EMMPS consists of a significant number of problems, nearly all of which are based on topics drawn from several sections of that chapter. Also as in the third edition, hints and outline answers are given in the final subsection, but only to the odd-numbered problems, leaving all even-numbered problems free to be set as unaided homework.
This book is the solutions manual for the problems in EMMPS. For the 230 plus oddnumbered problems it contains, complete solutions are available, to both students and their teachers, in the form of this manual; these are in addition to the hints and outline answers given in the main text.
- Type
- Chapter
- Information
- Student Solution Manual for Essential Mathematical Methods for the Physical Sciences , pp. vii - viiiPublisher: Cambridge University PressPrint publication year: 2011