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Historical Developments in Singular Perturbations (2014)

Historical Developments in Singular Perturbations

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"Historical Developments in Singular Perturbations" by Robert E. O'Malley is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians. The book focuses on detailing how the various methods are to be applied. These are illustrated by a number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus. Dr. O'Malley has written a number of books on singular perturbations. This book has developed from many of his works in the field of perturbation theory.

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Best For: Students and researchers interested in the mathematical theory and history of singular perturbations.
Focus: The historical development and accumulation of literature on singular perturbations in mathematics.
Covers: The evolution of singular perturbation theory, key contributions by engineers and mathematicians, and historical remarks throughout the text.
Why It Matters: It provides insight into how mathematical thinking on singular perturbations has grown, linking historical context with current understanding in the field.

"Historical Developments in Singular Perturbations" by Robert E. O'Malley is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Robert E. O'Malley

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians. The book focuses on detailing how the various methods are to be applied. These are illustrated by a number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus. Dr. O'Malley has written a number of books on singular perturbations. This book has developed from many of his works in the field of perturbation theory.

AuthorRobert E. O'Malley
PublisherSpringer
Published2014-12-03
ISBN-139783319119236
BindingHardcover
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Hardcover

Language: English

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