Description

Book Synopsis

Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author's teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals:

  1. to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work,

  2. to unify many distinct and seemingly isolated topics,

  3. to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems.

The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics fr

Table of Contents

Chapter 1. Linear algebra; Chapter 2. Complex numbers; Chapter 3. Vector analysis; Chapter 4. Complex analysis; Chapter 5. Transform methods; Chapter 6. Hilbert spaces; Chapter 7. Examples and applications; Chapter 8. Appendix: The language of mathematics; References; Index

Linear and Complex Analysis for Applications

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    A Hardback by John P. D'Angelo

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      Book details

      Publisher CRC Press Inc
      Published 1/27/2016 12:12:00 AM
      ISBN-13 9781498756105
      978-1498756105
      ISBN-10 1498756107
      Also in:
      Algebra

      Description

      Book Synopsis

      Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author's teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals:

      1. to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work,

      2. to unify many distinct and seemingly isolated topics,

      3. to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems.

      The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics fr

      Table of Contents

      Chapter 1. Linear algebra; Chapter 2. Complex numbers; Chapter 3. Vector analysis; Chapter 4. Complex analysis; Chapter 5. Transform methods; Chapter 6. Hilbert spaces; Chapter 7. Examples and applications; Chapter 8. Appendix: The language of mathematics; References; Index

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