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Elements of the Random Walk By Joseph Rudnick (University of California, Los Angeles)

Elements of the Random Walk by Joseph Rudnick (University of California, Los Angeles)

Condition - Very Good
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Summary

Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. This self-contained text will appeal to graduate students who need to understand the applications of random walk techniques, as well as to established researchers.

Elements of the Random Walk Summary

Elements of the Random Walk: An introduction for Advanced Students and Researchers by Joseph Rudnick (University of California, Los Angeles)

Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. Elements of the Random Walk is an introduction to some of the most powerful and general techniques used in the application of these ideas. The mathematical construct that runs through the analysis of the topics covered in this book, unifying the mathematical treatment, is the generating function. Although the reader is introduced to analytical tools, such as path-integrals and field-theoretical formalism, the book is self-contained in that basic concepts are developed and relevant fundamental findings fully discussed. Mathematical background is provided in supplements at the end of each chapter, when appropriate. This text will appeal to graduate students across science, engineering and mathematics who need to understand the applications of random walk techniques, as well as to established researchers.

Elements of the Random Walk Reviews

Review of the hardback: 'I warmly recommend a most rewarding and challenging textbook.' Contemporary Physics
Review of the hardback: '... an excellent starting point for those wanting a relatively simple and straightforward introduction to these topics.' Journal of Statistical Physics
Review of the hardback: '... an excellent introduction to emerging topics such as fractals, scaling and path integrals.' International Statistical Institute
"Excellent...In summary I warmly recommend a most rewarding and challenging textbook." Contemporary Physics, Professor D.S.F. Crothers
"This is a fine work that fills a long-standing void in the study of introductory mathematical physics." The Leading Edge, John Stockwell

About Joseph Rudnick (University of California, Los Angeles)

Joseph Rudnick earned his PhD in 1970. He has held faculty positions at Tufts University and the University of California, Santa Cruz. He has held a visiting position at Harvard University. He is currently a Professor in the Department of Physics and Astronomy at the University of California, Los Angeles. George Gaspari has been a Research Associate at the University of Rochester and has held visiting positions at the University of Bristol, UK, Stanford University and the University of California, Los Angeles. He has been a Sloan Foundation Fellow.

Table of Contents

Preface; 1. Introduction to techniques; 2. Generating functions I; 3. Generating functions II: recurrence, sites visited, and the role of dimensionality; 4. Boundary conditions, steady state, and the electrostatic analogy; 5. Variations on the random walk; 6. The shape of a random walk; 7. Path integrals and self-avoidance; 8. Properties of the random walk: introduction to scaling; 9. Scaling of walks and critical phenomena; 10. Walks and the O(n) model: mean field theory and spin waves; 11. Scaling, fractals, and renormalization; 12. More on the renormalization group; References; Index.

Additional information

GOR010633249
9780521828918
0521828910
Elements of the Random Walk: An introduction for Advanced Students and Researchers by Joseph Rudnick (University of California, Los Angeles)
Used - Very Good
Hardback
Cambridge University Press
2004-03-04
346
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - Elements of the Random Walk