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Inside Interesting Integrals
A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and...
Taschenbuch von Paul J. Nahin
Sprache: Englisch

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Beschreibung
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, now in its second edition, 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. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
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, now in its second edition, 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. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Über den Autor

Paul J. Nahin is professor emeritus of electrical engineering at the University of New Hampshire. He is the author of 21 books on mathematics, physics, and the history of science, published by Springer, and the university presses of Princeton and Johns Hopkins. He received the 2017 Chandler Davis Prize for Excellence in Expository Writing in Mathematics (for his paper "The Mysterious Mr. Graham," The Mathematical Intelligencer, Spring 2016). He gave the invited 2011 Sampson Lectures in Mathematics at Bates College, Lewiston, Maine.

Zusammenfassung

New edition with 25 added challenge problems and solutions and 25 new worked examples

A "recipe book" with many valuable little-known integration techniques

Written with an accessible and easy-to-follow style by acclaimed popular science author and engineering professor Paul Nahin

Includes rarely-taught problem solving techniques including Feynman's favorite: differentiation under the integral

Features worked-out and thoroughly explained practice problems

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2020
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 552
Titelzusatz: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematic
Reihe: Undergraduate Lecture Notes in Physics
Inhalt: xlvii
503 S.
48 s/w Illustr.
503 p. 48 illus.
ISBN-13: 9783030437879
ISBN-10: 3030437876
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Nahin, Paul J.
Auflage: 2nd ed. 2020
Hersteller: Springer International Publishing
Undergraduate Lecture Notes in Physics
Maße: 235 x 155 x 30 mm
Von/Mit: Paul J. Nahin
Erscheinungsdatum: 28.06.2020
Gewicht: 0,826 kg
Artikel-ID: 118024649
Über den Autor

Paul J. Nahin is professor emeritus of electrical engineering at the University of New Hampshire. He is the author of 21 books on mathematics, physics, and the history of science, published by Springer, and the university presses of Princeton and Johns Hopkins. He received the 2017 Chandler Davis Prize for Excellence in Expository Writing in Mathematics (for his paper "The Mysterious Mr. Graham," The Mathematical Intelligencer, Spring 2016). He gave the invited 2011 Sampson Lectures in Mathematics at Bates College, Lewiston, Maine.

Zusammenfassung

New edition with 25 added challenge problems and solutions and 25 new worked examples

A "recipe book" with many valuable little-known integration techniques

Written with an accessible and easy-to-follow style by acclaimed popular science author and engineering professor Paul Nahin

Includes rarely-taught problem solving techniques including Feynman's favorite: differentiation under the integral

Features worked-out and thoroughly explained practice problems

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2020
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 552
Titelzusatz: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematic
Reihe: Undergraduate Lecture Notes in Physics
Inhalt: xlvii
503 S.
48 s/w Illustr.
503 p. 48 illus.
ISBN-13: 9783030437879
ISBN-10: 3030437876
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Nahin, Paul J.
Auflage: 2nd ed. 2020
Hersteller: Springer International Publishing
Undergraduate Lecture Notes in Physics
Maße: 235 x 155 x 30 mm
Von/Mit: Paul J. Nahin
Erscheinungsdatum: 28.06.2020
Gewicht: 0,826 kg
Artikel-ID: 118024649
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