Integral Equations: A Practical Treatment, from Spectral Theory to Applications (Cambridge Texts in Applied Mathematics, Series Number 5)

This book gives a rigorous and practical treatment of integral equations and aims to tackle the solution of integral equations using a blend of abstract structural results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text, and it allows a thorough account to be given of many of the types of integral equation that arise, particularly in numerical analysis and fluid mechanics. Because it is not always possible to find explicit solutions to the problems posed, much attention is devoted to obtaining qualitative information and approximations and the associated error estimates.

Science & Math

Stirling, David S. G.

Porter,David

Mathematics

Cambridge University Press

<p>This book gives a rigorous and practical treatment of integral equations and aims to tackle the solution of integral equations using a blend of abstract structural results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text, and it allows a thorough account to be given of many of the types of integral equation that arise, particularly in numerical analysis and fluid mechanics. Because it is not always possible to find explicit solutions to the problems posed, much attention is devoted to obtaining qualitative information and approximations and the associated error estimates.</p>

Mathematical analysis (Ellis Horwood series in mathematics and its applications)

Halsted Press

An introduction to the core material of mathematical analysis that not only gives proofs, but also indicates how they are constructed. The textbook addresses the need for a familiarity with long mathematical arguments and manipulation and the need to be able to construct proofs in analysis.

This text addresses a weakness observed among students, namely a lack of familiarity with formal proof. Dr. Stirling begins with the idea of mathematical proof and the need for it, devoting care to develop associated technical and logical skills. This is then brought to bear on the core material of analysis and a presentation that the development reads naturally and in straight-forward progression, not only by giving proofs, but also indicating how they are constructed. This approach offers intellectual challenge and stimulus to readers by emphasizing two important points: the need for familiarity with long mathematical arguments and manipulation; and the importance of the ability to construct proofs in analysis. The author devotes attention, not only to the results, but to the way in which they are deduced. There are examples linking analysis with other mathematical areas in order to eliminate the risk of its detachment from the "body corpus" of mathematics; and also instances as to why proofs are attempted in a particular way. The text contains over 100 worked examples and more than 200 problem exercises and their solutions and hints.

Mathematical Analysis and Proof

albion

<p>This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a straightforward progression. Retaining the core text, the second edition has additional worked examples which users have indicated a need for, in addition to more emphasis on how analysis can be used to tell the accuracy of the approximations to the quantities of interest which arise in analytical limits.</p>

Woodhead Publishing

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Books by Stirling, David S. G.

See the best price to sell, buy, or rent books by Stirling, David S. G.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Integral Equations: A Practical Treatment, from Spectral Theory to Applications (Cambridge Texts in Applied Mathematics, Series Number 5)

Integral Equations: A Practical Treatment, from Spectral Theory to Applications (Cambridge Texts in Applied Mathematics, Series Number 5)

Mathematical analysis (Ellis Horwood series in mathematics and its applications)

Mathematical analysis (Ellis Horwood series in mathematics and its applications)

Mathematical Analysis and Proof

Mathematical Analysis and Proof