, Dimensions I created and teach a class in Fourier Theory for an industrial firm. Ls hur du vill - Paul Nahin was born in California, and did all of his schooling there (Brea-Olinda High 1958, Stanford BS 1962, Caltech MS 1963 and - as a Howard Hughes Staff Doctoral Fellow - UC/Irvine PhD 1972, with all degrees in electrical engineering). av James Nestor 0000005342 00000 n New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion. Please try again. A recipe book of math models readily applied to projects, and examples are an eclectic mix of systems and stories rooted in common experience. 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.
I think this book is a great place for anyone to start who wants to appreciate mathematics, and as a basis for various branches of physics as well as an analytical number theory. Instead, our system considers things like how recent a review is and if the reviewer bought the item on Amazon. 0000007119 00000 n
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. stream It is based on the method of learning by example and practice. Learn more about the program. Reviewed in the United States on October 26, 2019. Reviewed in the United States on April 6, 2018. 0000004720 00000 n
%PDF-1.5 Or, perhaps, and far more likely, he just ate too much for lunch.)
Company address: Randersgade 49 - 2100 - DK, Undergraduate Lecture Notes in Physics series. I am a professional programmer with a master's in mathematics and I really enjoyed the book, learned alot. 9 16
He is always excellent. : I found it easy to understand. Breath
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kGb. !*^j?(R File Inside Interesting Integrals - Paul J. Nahin PDF thuc chuyn mc Ton cho Vt l ca Trn Dng Anh Ti lin quan n Inside Interesting Integrals, Inside Interesting Integrals. 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. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Bokus har slt bcker online sedan 1997. To see our price, add these items to your cart. D}:]rowx:-=\sv!SlqGM{N%Q%)'e0|D=*=ae=rn\mL.`e !z
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Anything Paul Nahin writes I buy. 0000002347 00000 n
As you move along, the author builds and builds again on techniques he taught in a earlier chapter to take you down another " Yellow Brick Road".
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. 0000032658 00000 n
(hftad). Anyone who likes their maths books full of equations will appreciate this book. 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. ];t\Ma W}/&RBmW| UJf.s[A The books says the target audience is undergraduates as well as professionals looking for a good technical read. Teach Yourself Physics: a travel companion, An Advanced Introduction to Calculus-Based Physics (Mechanics), Introduction to Special Relativity (Dover Books on Physics), Science By Simulation - Volume 1: A Mezze Of Mathematical Models, Mathematical Analysis: Exercises Integrals (University), A Student's Guide to Laplace Transforms (Student's Guides). Every result is fully derived. On the other hand if this is easy for you try (Almost) Impossible Integrals, Sums, and Series by Cornel Valean. , Paperback endstream endobj 14 0 obj <>stream
If you aren't ready for this start with An Imaginary Tale which is great then graduate to Dr. Euler's Fabulous Formula.
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29 0 obj Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals, Previous page of related Sponsored Products. Something we hope you'll especially enjoy: FBA items qualify for FREE Shipping and Amazon Prime.
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If you are stuck on an island or at home in the rain, this little volume will entertain anyone interested in solving intriguing calculus problems. 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. Full content visible, double tap to read brief content. Finally, if you are into stuff like this look at Pi and the AGM by the Borwein brothers. This book is written in a jolly style with lots of different techniques ("tricks" as the author calls them) to help evaluate some scary looking definite integrals. Paul J. Nahin is professor emeritus of electrical engineering at the University of New Hampshire. General relativity is explained and assessed formally and epistemologically using a novel method. An interesting book that I'm enjoying reading. Reviewed in the United States on May 6, 2017. Physics from Symmetry (Undergraduate Lecture Notes in Physics). Please try again. 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. He has published a couple dozen short science fiction stories in ANALOG, OMNI, and TWILIGHT ZONE magazines, and has written 22 books on mathematics and physics, published by IEEE Press, Springer, and the university presses of Johns Hopkins and Princeton. He gave the invited Sampson Lectures for 2011 in Mathematics at Bates College (Lewiston, Maine). Find all the books, read about the author, and more. Every result is fully derived. The book THE MATHEMATICAL RADIO is under contract with Princeton and is scheduled to appear in 2023. : mathematicians also may find many interesting things there. (Krzysztof Ciesielski, Mathematical Reviews, July, 2015). 28 0 obj A great mathematical exposition - although the presentation could be prettier, Reviewed in the United Kingdom on September 14, 2018. A very interesting book for maths teachers (and lecturers) to help broaden your own outlook on school- and college-level calculus. It's always a pleasure to see a clever maths trick, and this book is packed with them.
31 0 obj This book is about complex analysis. : 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 Mathematics (Plus Numerous Challenge Problems with Complete, Detailed Solutions).
<< /Linearized 1 /L 215330 /H [ 1592 289 ] /O 30 /E 161585 /N 12 /T 214905 >> 0000003535 00000 n 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. What's the point of calculating definite integrals since you can't possibly do them all? In between and here-and-there he spent a post-doctoral year at the Naval Research Laboratory, and a summer and a year at the Center for Naval Analyses and the Institute for Defense Analyses as a weapon systems analyst, all in Washington, DC. stream I also found the numerical checks using Matlab to be redundant - having proved an integral mathematically I couldn't see the point of then doing a check with a numerical calculation. Nor his Nahin's book simply a more thorough treatment of methods to find antiderivatives, of numerical integration, or in general the kind of extended nature of most books on integration that are intended for non-mathematics majors.
Prof. Nahin has published a couple of dozen short science fiction stories in ANALOG, OMNI and TWILIGHT ZONE magazines, and has written 14 books on mathematics and physics. . Most recently, HOT MOLECULES & COLD ELECTRONS (on the application of Fourier's heat equation to the theory of the Atlantic Cable) was published by Princeton in Spring 2020. Nahin's books are always a good read, and this one is no exception. Excellently written book for Math nerds like me. : Use the Amazon App to scan ISBNs and compare prices. 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. If you are fascinated by definite integrals, then this is a book for you. kundfrakter genom 27 0 obj
As one knows, the topic requires a substantial amount of integration. Springer has kindly made it available in pdf format (3 MB), and if you write to me I'll send you a copy.
Still studying and have been working in it for 5 months. Nicely done. - 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 Mathematics (Plus Numerou, part of the Undergraduate Lecture Notes in Physics series. You need to know calculus and be proficient at algebraic manipulation. Customer Reviews, including Product Star Ratings help customers to learn more about the product and decide whether it is the right product for them. Each integral is a puzzle. x^Zms_~'% HdvMwN"6'HTg Rv&i>p\%y$|xvU$TervUe*9H^=g0&YQ)j'4r/Tf6VLgS*Mg?HY-[~F#p)H._c6 eIg{"m2FDeV&Y !yR*I6Mry k-5^D&?i*|ps*Yqu`VEkTj61n%9s|-w[nwfGf]/?6.
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. It also analyzed reviews to verify trustworthiness. For those interested in solutions to a wide range of integrals, the book is will serve as a first rate reference. Reviewed in the United States on March 3, 2015. endobj
<< /Names 70 0 R /OpenAction 80 0 R /Outlines 63 0 R /PageMode /UseOutlines /Pages 62 0 R /Type /Catalog >> stream After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in. 0000005936 00000 n He gave the invited 2011 Sampson Lectures in Mathematics at Bates College, Lewiston, Maine.
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. But what a great mathematical exposition! xcbd`g`b``8 "YH0"@M"HY+iH2@G &HI gr,B2x7 A , Item Weight Top subscription boxes right to your door, 1996-2022, Amazon.com, Inc. or its affiliates, Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and (Undergraduate Lecture Notes in Physics), Learn more how customers reviews work on Amazon. paul.nahin@unh.edu. Whats the point of calculating definite integrals since you cant possibly do them all? It provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material. trailer For this reason, they invariably spend a fair amount of time on topics like measure theory, the Lebesgue integral, rigor (both in presentation and exercises), and similar content that greatly benefits the undergraduate majoring in mathematics but is of little or no use to engineers, computer scientists, and others who intend to go on to more applied fields.
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