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Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions,
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“Paperback. Cover and spine in good condition. Spine is tight. Pages are clean, with minimal ”... Read moreabout condition
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages.
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eBay item number:167821149351
Item specifics
- Condition
- Good
- Seller Notes
- Book Title
- Inside Interesting Integrals: A Collection of Sneaky Tricks, S
- ISBN
- 9781493912766
About this product
Product Identifiers
Publisher
Springer
ISBN-10
1493912763
ISBN-13
9781493912766
eBay Product ID (ePID)
201652360
Product Key Features
Number of Pages
Xxiii, 412 Pages
Publication Name
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)
Language
English
Subject
Engineering (General), Calculus, Physics / Mathematical & Computational, Mathematical Analysis
Publication Year
2014
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Series
Undergraduate Lecture Notes in Physics Ser.
Format
Trade Paperback
Dimensions
Item Weight
259.2 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2014-945223
Reviews
"The main purpose of the author is not to calculate specific integrals and obtain specific answers, but to present several tricks and methods which are used to obtain those answers. ... The book is published in the series Undergraduate Lecture Notes in Physics and it will probably be physicists and students of physics who will be the majority of its readers. ... mathematicians also may find many interesting things there." (Krzysztof Ciesielski, Mathematical Reviews, July, 2015)
Dewey Edition
23
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.4
Table Of Content
Preface.- 1. Introduction.- 1.1 The Riemann Integral.- 1.2 An Example of Riemann Integration.- 1.3 The Lebesgue Integral.- 1.4 'Interesting' and 'Inside'.- 1.5 An Example of a Trick.- 1.6 Singularities.- 1.7 Dalzell's Integral.- 1.8 Where Integrals Come From.- 1.9 Last Words.- 1.10 Challenge Problems.- 2. 'Easy' Integrals.- 2.1 Six 'Easy' Warm-ups.- 2.2 A New Trick.- 2.3 Two Old Tricks, Plus a New One.- 2.4 Another Old Trick: Euler's Log-Sine Integral.- 2.5 Challenge Problems.- 3. Feynman's Favorite Trick.- 3.1 Leibniz's Formula.- 3.2 Dirichlet's Amazing Integral.- 3.3 Frullani's Integral.- 3.4 The Flip-Side of Feynman's Trick.- 3.5 Combining Two Tricks.- 3.6 Uhler's Integral and Symbolic Integration.- 3.7 The Probability Integral Revisited.- 3.8 Dini's Integral.- 3.9 Feynman's Favorite Trick Solves a Physics Equation .- 3.10 Challenge Problems.- 4. Gamma and Beta Function Integrals.- 4.1 Euler's Gamma Function.- 4.2 Wallis' Integral and the Beta Function.- 4.3 Double Integration Reversal.- 4.4 The Gamma Function Meets Physics.- 4.5 Challenge Problems.- 5. Using Power Series to Evaluate Integrals.- 5.1 Catalan's Constant.- 5.2 Power Series for the Log Function.- 5.3 Zeta Function Integrals.- 5.4 Euler's Constant and Related Integrals.- 5.5 Challenge Problems.- 6. Seven Not-So-Easy Integrals.- 6.1 Bernoulli's Integral .- 6.2 Ahmed's Integral.- 6.3 Coxeter's Integral.- 6.4 The Hardy-Schuster Optical Integral.- 6.5 The Watson/van Peype Triple Integrals.- 6.6 Elliptic Integrals in a Physical Problem.- 6.7 Challenge Problems.- 7. Using √(-1) to Evaluate Integrals.- 7.1 Euler's Formula.- 7.2 The Fresnel Integrals.- 7.3 (3) and More Log-Sine Integrals .- 7.4 (2), At Last!.- 7.5 The Probability Integral Again.- 7.6 Beyond Dirichlet's Integral.- 7.7 Dirichlet Meets the Gamma Function.- 7.8 Fourier Transforms and Energy Integrals.- 7.9 'Weird' Integrals from Radio Engineering.- 7.10 Causality and Hilbert Transform Integrals.- 7.11 Challenge Problems.- 8. Contour Integration.- 8.1 Prelude.- 8.2 Line Integrals.- 8.3 Functions of a Complex Variable.- 8.4 The Cauchy-Riemann Equations and Analytic Functions.- 8.5 Green's Integral Theorem.- 8.6 Cauchy's First Integral Theorem.- 8.7 Cauchy's Second Integral Theorem.- 8.8 Singularities and the Residue Theorem.- 8.9 Integrals with Multi-valued Integrands.- 8.10 Challenge Problems.- 9. Epilogue.- 9.1 Riemann, Prime Numbers, and the Zeta Function.- 9.2 Deriving the Functional Equation for (s).- 9.3 Challenge Questions.- Solutions to the Challenge Problems.
Synopsis
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.
LC Classification Number
QC1-75
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- l***d (1162)- Feedback left by buyer.Past monthVerified purchaseA+
- eBay automated feedback- Feedback left by buyer.Past monthOrder delivered on time with no issues
- eBay automated feedback- Feedback left by buyer.Past monthOrder completed successfully—tracked and on time