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Inside Interesting Integrals : A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60 Challenge Problems with Complete, Detailed Solutions) / / by Paul J. Nahin



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Autore: Nahin Paul J Visualizza persona
Titolo: Inside Interesting Integrals : A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60 Challenge Problems with Complete, Detailed Solutions) / / by Paul J. Nahin Visualizza cluster
Pubblicazione: New York, NY : , : Springer New York : , : Imprint : Springer, , 2015
Edizione: 1st ed. 2015.
Descrizione fisica: 1 online resource (XXIII, 412 p. 34 illus., 1 illus. in color.)
Disciplina: 515/.4
Soggetto topico: Mathematical physics
Mathematical analysis
Engineering mathematics
Engineering - Data processing
Sequences (Mathematics)
Integral equations
Mathematical Methods in Physics
Integral Transforms and Operational Calculus
Mathematical and Computational Engineering Applications
Sequences, Series, Summability
Integral Equations
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: From the Contents: Preface -- Introduction -- ‘Easy’ Integrals -- Feynman’s Favorite Trick -- Gamma and Beta Function Integrals -- Using Power Series to Evaluate Integrals -- Seven Not-So-Easy Integrals -- Using √(-1) to Evaluate Integrals -- Contour Integration -- Epilogue -- Solutions to the Challenge Problems.
Sommario/riassunto: What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus, and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you.
Titolo autorizzato: Inside interesting integrals  Visualizza cluster
ISBN: 1-4939-1277-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300406903321
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Serie: Undergraduate Lecture Notes in Physics, . 2192-4805