Linear and Complex Analysis for Applications

The book aims to unify mathematical analysis by developing linear analysis and complex variable theory, unifying topics, and showing mathematics as interesting and useful. It begins with reviews of Linear Algebra, Complex Numbers, and Calculus III and includes infinite-dimensional examples and more than 450 exercises.

Format: Paperback / softback
Length: 274 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

The book "Linear and Complex Analysis for Applications" is a comprehensive and engaging exploration of mathematical analysis, aimed at unifying various branches of the field and presenting a diverse range of applications to mathematics, physics, and engineering. This text evolved from the authors' teaching experiences, research in complex analysis, and discussions with friends and colleagues. It has three primary objectives: to develop the necessary linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify diverse and seemingly isolated topics, and to showcase mathematics as both interesting and useful, particularly through the juxtaposition of examples and theorems.

To achieve these goals, the book begins with reviews of Linear Algebra, Complex Numbers, and topics from Calculus III. As these topics are reviewed, new material is introduced to enhance the students' skills in computation and theory. The linear algebra section includes infinite-dimensional examples derived from elementary calculus and differential equations, computed both in the language of classical vector analysis and through the use of differential forms. Connections among the topics and applications are woven throughout the book.

The text seamlessly weaves abstract mathematics, routine computational problems, and applications into a coherent whole, with linear systems serving as the unifying theme. It offers numerous unusual examples and contains over 450 exercises, making it an invaluable resource for students and professionals alike. By presenting mathematics in a practical and applied context, this book aims to inspire and empower individuals to explore the beauty and power of mathematical analysis.

Weight: 510g
Dimension: 235 x 191 (mm)
ISBN-13: 9781032477022