Complex integration: a compendium of smart and little-known techniques for evaluating integrals and sums
Integrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate studen...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2023]
|
| Schriftenreihe: | Undergraduate lecture notes in physics
|
| Schlagworte: | |
| Zusammenfassung: | Integrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate students who have had two semesters of calculus, are usually limited to a very small set of problems.Few practitioners consider complex integration as a tool for computing difficult integrals. While there are a number of books on the market that provide tutorials on this subject, the existing texts in this field focus on real methods. Accordingly, this book offers an eye-opening experience for computation enthusiasts used to relying on clever substitutions and transformations to evaluate integrals and sums.The book is the result of nine years of providing solutions to difficult calculus problems on forums such as Math Stack Exchange or the author's website, residuetheorem.com. It serves to detail to the enthusiastic mathematics undergraduate, or the physics or engineering graduate student, the art and science of evaluating difficult integrals, sums, and products |
| Beschreibung: | xviii, 239 Seiten 403 grams |
| ISBN: | 9783031242274 |
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| spelling | Gordon, Ron Verfasser aut Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums Ron Gordon Cham, Switzerland Springer [2023] xviii, 239 Seiten 403 grams txt rdacontent n rdamedia nc rdacarrier Undergraduate lecture notes in physics Integrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate students who have had two semesters of calculus, are usually limited to a very small set of problems.Few practitioners consider complex integration as a tool for computing difficult integrals. While there are a number of books on the market that provide tutorials on this subject, the existing texts in this field focus on real methods. Accordingly, this book offers an eye-opening experience for computation enthusiasts used to relying on clever substitutions and transformations to evaluate integrals and sums.The book is the result of nine years of providing solutions to difficult calculus problems on forums such as Math Stack Exchange or the author's website, residuetheorem.com. It serves to detail to the enthusiastic mathematics undergraduate, or the physics or engineering graduate student, the art and science of evaluating difficult integrals, sums, and products Functions of complex variables Functions of real variables Mathematical analysis Engineering mathematics Engineering—Data processing Mathematical physics Hardcover, Softcover / Physik, Astronomie/Allgemeines, Lexika Erscheint auch als Online-Ausgabe 978-3-031-24228-1 |
| spellingShingle | Gordon, Ron Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums Functions of complex variables Functions of real variables Mathematical analysis Engineering mathematics Engineering—Data processing Mathematical physics |
| title | Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums |
| title_auth | Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums |
| title_exact_search | Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums |
| title_exact_search_txtP | Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums |
| title_full | Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums Ron Gordon |
| title_fullStr | Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums Ron Gordon |
| title_full_unstemmed | Complex integration a compendium of smart and little-known techniques for evaluating integrals and sums Ron Gordon |
| title_short | Complex integration |
| title_sort | complex integration a compendium of smart and little known techniques for evaluating integrals and sums |
| title_sub | a compendium of smart and little-known techniques for evaluating integrals and sums |
| topic | Functions of complex variables Functions of real variables Mathematical analysis Engineering mathematics Engineering—Data processing Mathematical physics |
| topic_facet | Functions of complex variables Functions of real variables Mathematical analysis Engineering mathematics Engineering—Data processing Mathematical physics |
| work_keys_str_mv | AT gordonron complexintegrationacompendiumofsmartandlittleknowntechniquesforevaluatingintegralsandsums |