1.

Record Nr.

UNINA9910300406903321

Autore

Nahin Paul J

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

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Springer, , 2015

ISBN

1-4939-1277-1

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (XXIII, 412 p. 34 illus., 1 illus. in color.)

Collana

Undergraduate Lecture Notes in Physics, , 2192-4805

Disciplina

515/.4

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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.