LEADER 02957nam 2200469 450 001 9910659478903321 005 20230516100310.0 010 $a9783031242281$b(electronic bk.) 010 $z9783031242274 024 7 $a10.1007/978-3-031-24228-1 035 $a(MiAaPQ)EBC7203256 035 $a(Au-PeEL)EBL7203256 035 $a(CKB)26154789900041 035 $a(DE-He213)978-3-031-24228-1 035 $a(PPN)268206147 035 $a(EXLCZ)9926154789900041 100 $a20230516d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComplex Integration $eA Compendium of Smart and Little-Known Techniques for Evaluating Integrals and Sums /$fRon Gordon 205 $a1st ed. 2023. 210 1$aCham, Switzerland :$cSpringer, Springer Nature Switzerland AG,$d[2023] 210 4$dİ2023 215 $a1 online resource (254 pages) 225 1 $aUndergraduate Lecture Notes in Physics Series 311 08$aPrint version: Gordon, Ron Complex Integration Cham : Springer International Publishing AG,c2023 9783031242274 327 $aReview of Foundational Concepts -- Evaluation of Definite Integrals I: The Residue Theorem and Friends -- Evaluation of Definite Integrals II: Applications to Various Types of Integrals -- Cauchy Principal Value -- Integral Transforms -- Asymptotic Methods. 330 $aIntegrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate students who have had two semesters of calculus, are usually limited to a very small set of problems. Few practitioners consider complex integration as a tool for computing difficult integrals. While there are a number of books on the market that provide tutorials on this subject, the existing texts in this field focus on real methods. Accordingly, this book offers an eye-opening experience for computation enthusiasts used to relying on clever substitutions and transformations to evaluate integrals and sums. The book is the result of nine years of providing solutions to difficult calculus problems on forums such as Math Stack Exchange or the author's website, residuetheorem.com. It serves to detail to the enthusiastic mathematics undergraduate, or the physics or engineering graduate student, the art and science of evaluating difficult integrals, sums, and products. 410 0$aUndergraduate lecture notes in physics. 606 $aCalculus, Integral 615 0$aCalculus, Integral. 676 $a515.43 700 $aGordon$b Ron$f1942-$01359870 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910659478903321 996 $aComplex Integration$93375283 997 $aUNINA LEADER 01276aam 2200373I 450 001 9910710752803321 005 20160421112349.0 024 8 $aGOVPUB-C13-a23c1ee474835c084dc5a5a671d9e9ca 035 $a(CKB)5470000002478779 035 $a(OCoLC)947049568 035 $a(EXLCZ)995470000002478779 100 $a20160421d2009 ua 0 101 0 $aeng 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aManufacturing interoperability program, a synopsis /$fSharon J. Kemmerer 210 1$aGaithersburg, MD :$cU.S. Dept. of Commerce, National Institute of Standards and Technology,$d2009. 215 $a1 online resource 225 1 $aNISTIR ;$v7533 300 $a2009. 300 $aContributed record: Metadata reviewed, not verified. Some fields updated by batch processes. 300 $aTitle from PDF title page. 320 $aIncludes bibliographical references. 700 $aKemmerer$b Sharon J$01397785 701 $aKemmerer$b Sharon J$01397785 712 02$aNational Institute of Standards and Technology (U.S.) 801 0$bNBS 801 1$bNBS 801 2$bGPO 906 $aBOOK 912 $a9910710752803321 996 $aManufacturing interoperability program, a synopsis$93466756 997 $aUNINA