Introduction to Perturbation Methods

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapt

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapt

Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordin

This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main aspects of the basic modern theory of perturbed Hamiltonian s

Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, a

Extensively tested in both academic and corporate settings, this is the ideal instructional resource for everyone new to agile development: students, software practitioners, and managers. Drawing on e

"An Introduction to Philosophical Methods is a timely, comprehensive, and accessible introduction to `metaphilosophy': the study of the nature of philosophy itself. Daly's concern is with the methods

"In combination with EEG and MR-based cortical reconstruction, MEG has considerably improved in the past ten years to become very close to the brain imager's long-awaited ideal---a non-invasive method

From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field.

Describes numerical continuation methods that have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. These methods may be used not only t

Introduction to Research Methods contains everything from developing an initial idea into a proposal, through to analysing data and reporting results. Whether you have to undertake a project as part o

Based on Keith Punch’s bestselling Introduction to Social Research Methods, this book introduces the research process in a range of educational contexts. In this updated second edition, you’ll find g

Based on Keith Punch’s bestselling Introduction to Social Research Methods, this book introduces the research process in a range of educational contexts. In this updated second edition, you’ll find g

The phase-integral method in mathematics, also known as the Wentzel-Kramers-Brillouin (WKB) method, is the focus of this introductory treatment. Author John Heading successfully steers a course betwee

Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how

The text is aimed at final-year undergraduate students or those at the graduate level doing econometrics for the first time. It is an introductory course in the theory and practice of classical and mo