Buch, Englisch, 239 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 400 g
A Compendium of Smart and Little-Known Techniques for Evaluating Integrals and Sums
Buch, Englisch, 239 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 400 g
Reihe: Undergraduate Lecture Notes in Physics
ISBN: 978-3-031-24227-4
Verlag: Springer International Publishing
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.
Zielgruppe
Upper undergraduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
Weitere Infos & Material
Review of Foundational Concepts.- Evaluation of Definite Integrals I: The Residue Theorem and Friends.- Evaluation of Definite Integrals II: Applications to Various Types of Integrals.- Cauchy Principal Value.- Integral Transforms.- Asymptotic Methods.