STUDENTS SOLUTION MANUAL FOR ESSENTIAL
MATHEMATICAL METHODS FOR THE PHYSICAL SCIENCES
1ST EDITION
BY K. F. RILEY (AUTHOR), M. P. HOBSON (AUTHOR)
,Student Solution Manual for
Essential Mathematical Methods for the Physical Sciences
This Student Solution Manual provides complete solutions to all the odd-numbered problems in
Essential Mathematical Methods for the Physical Sciences. It takes students through each problem
step by step, so they can clearly see how the solution is reached, and understand any mistakes in
their own working. Students will learn by example how to select an appropriate method, improving
their problem-solving skills.
K. F. Riley read mathematics at the University of Cambridge and proceeded to a Ph.D. there
in theoretical and experimental nuclear physics. He became a Research Associate in elementary
particle physics at Brookhaven, and then, having taken up a lectureship at the Cavendish Laboratory,
Cambridge, continued this research at the Rutherford Laboratory and Stanford; in particular he was
involved in the experimental discovery of a number of the early baryonic resonances. As well
as having been Senior Tutor at Clare College, where he has taught physics and mathematics for
over 40 years, he has served on many committees concerned with the teaching and examining of
these subjects at all levels of tertiary and undergraduate education. He is also one of the authors
of 200 Puzzling Physics Problems (Cambridge University Press, 2001).
M. P. Hobson read natural sciences at the University of Cambridge, specializing in theoretical
physics, and remained at the Cavendish Laboratory to complete a Ph.D. in the physics of star
formation. As a Research Fellow at Trinity Hall, Cambridge, and subsequently an Advanced Fellow
of the Particle Physics and Astronomy Research Council, he developed an interest in cosmology, and
in particular in the study of fluctuations in the cosmic microwave background. He was involved in
the first detection of these fluctuations using a ground-based interferometer. Currently a University
Reader at the Cavendish Laboratory, his research interests include both theoretical and observational
aspects of cosmology, and he is the principal author of General Relativity: An Introduction for
Physicists (Cambridge University Press, 2006). He is also a Director of Studies in Natural Sciences
at Trinity Hall and enjoys an active role in the teaching of undergraduate physics and mathematics.
,Essential Mathematical Methods
for the Physical Sciences
Student Solution Manual
K. F. RILEY
University of Cambridge
M. P. HOBSON
University of Cambridge
, cambridge university press
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore,
Sa˜o Paulo, Delhi, Dubai, Tokyo, Mexico City
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
Information on this title: www.cambridge.org/9780521141024
C°K. Riley and M. Hobson 2011
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without the written
permission of Cambridge University Press.
First published 2011
Printed in the United Kingdom at the University Press, Cambridge
A catalogue record for this publication is available from the British Library
ISBN 978-0-521-14102-4 Paperback
Cambridge University Press has no responsibility for the persistence or
accuracy of URLs for external or third-party internet websites referred to in
this publication, and does not guarantee that any content on such websites is,
or will remain, accurate or appropriate.
MATHEMATICAL METHODS FOR THE PHYSICAL SCIENCES
1ST EDITION
BY K. F. RILEY (AUTHOR), M. P. HOBSON (AUTHOR)
,Student Solution Manual for
Essential Mathematical Methods for the Physical Sciences
This Student Solution Manual provides complete solutions to all the odd-numbered problems in
Essential Mathematical Methods for the Physical Sciences. It takes students through each problem
step by step, so they can clearly see how the solution is reached, and understand any mistakes in
their own working. Students will learn by example how to select an appropriate method, improving
their problem-solving skills.
K. F. Riley read mathematics at the University of Cambridge and proceeded to a Ph.D. there
in theoretical and experimental nuclear physics. He became a Research Associate in elementary
particle physics at Brookhaven, and then, having taken up a lectureship at the Cavendish Laboratory,
Cambridge, continued this research at the Rutherford Laboratory and Stanford; in particular he was
involved in the experimental discovery of a number of the early baryonic resonances. As well
as having been Senior Tutor at Clare College, where he has taught physics and mathematics for
over 40 years, he has served on many committees concerned with the teaching and examining of
these subjects at all levels of tertiary and undergraduate education. He is also one of the authors
of 200 Puzzling Physics Problems (Cambridge University Press, 2001).
M. P. Hobson read natural sciences at the University of Cambridge, specializing in theoretical
physics, and remained at the Cavendish Laboratory to complete a Ph.D. in the physics of star
formation. As a Research Fellow at Trinity Hall, Cambridge, and subsequently an Advanced Fellow
of the Particle Physics and Astronomy Research Council, he developed an interest in cosmology, and
in particular in the study of fluctuations in the cosmic microwave background. He was involved in
the first detection of these fluctuations using a ground-based interferometer. Currently a University
Reader at the Cavendish Laboratory, his research interests include both theoretical and observational
aspects of cosmology, and he is the principal author of General Relativity: An Introduction for
Physicists (Cambridge University Press, 2006). He is also a Director of Studies in Natural Sciences
at Trinity Hall and enjoys an active role in the teaching of undergraduate physics and mathematics.
,Essential Mathematical Methods
for the Physical Sciences
Student Solution Manual
K. F. RILEY
University of Cambridge
M. P. HOBSON
University of Cambridge
, cambridge university press
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore,
Sa˜o Paulo, Delhi, Dubai, Tokyo, Mexico City
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
Information on this title: www.cambridge.org/9780521141024
C°K. Riley and M. Hobson 2011
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without the written
permission of Cambridge University Press.
First published 2011
Printed in the United Kingdom at the University Press, Cambridge
A catalogue record for this publication is available from the British Library
ISBN 978-0-521-14102-4 Paperback
Cambridge University Press has no responsibility for the persistence or
accuracy of URLs for external or third-party internet websites referred to in
this publication, and does not guarantee that any content on such websites is,
or will remain, accurate or appropriate.
