LEADER 03643nam 2200709Ia 450 001 9910455009903321 005 20210423001853.0 010 $a1-283-00827-0 010 $a9786613008275 010 $a0-231-50252-4 024 7 $a10.7312/comi11644 035 $a(CKB)111056485388050 035 $a(EBL)909151 035 $a(OCoLC)819607600 035 $a(SSID)ssj0000169870 035 $a(PQKBManifestationID)11159456 035 $a(PQKBTitleCode)TC0000169870 035 $a(PQKBWorkID)10215138 035 $a(PQKB)10045902 035 $a(SSID)ssj0000484907 035 $a(PQKBManifestationID)12193639 035 $a(PQKBTitleCode)TC0000484907 035 $a(PQKBWorkID)10595333 035 $a(PQKB)10487366 035 $a(MiAaPQ)EBC909151 035 $a(DE-B1597)458764 035 $a(OCoLC)50817352 035 $a(OCoLC)979574091 035 $a(DE-B1597)9780231502528 035 $a(Au-PeEL)EBL909151 035 $a(CaPaEBR)ebr10449823 035 $a(CaONFJC)MIL300827 035 $a(EXLCZ)99111056485388050 100 $a20001026d2001 uy 0 101 0 $aeng 135 $aur|nu---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aHeavenly errors$b[electronic resource] $emisconceptions about the real nature of the universe /$fNeil F. Comins 210 $aNew York $cColumbia University Press$d2001 215 $a1 online resource (182 p.) 300 $aDescription based upon print version of record. 311 0 $a0-231-11645-4 311 0 $a0-231-11644-6 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tPreface --$tIntroduction --$t1. Fun in the Sun --$t2. Blame It on Someone Else --$t3. Creating Your Own Private Cosmos --$t4. Survival in a Misperceived World --$t5. Breaking Up Is Hard to Do --$t6. The Sage on the Stage or the Guide by Your Side --$t7. Let the Buyer Beware --$t8. Conflicts and Dangers --$tEpilogue --$tSelected Bibliography --$tIndex 330 $aOne of the great paradoxes of modern times is that the more scientists understand the natural world, the more we discover that our everyday beliefs about it are wrong. Astronomy, in particular, is one of the most misunderstood scientific disciplines. With the participation of thousands of undergraduate students, Neil F. Comins has identified and classified, by origin and topic, over 1,700 commonly held misconceptions. Heavenly Errors provides access to all of them and explores many, including: Black holes suck in everything around them. The Sun shines by burning gas.• Comets have tails trailing behind them. The Moon alone causes tides. Mercury, the closest planet to the Sun, is the hottest planet. In the course of correcting these errors, he explains that some occur through the prevalence of pseudosciences such as astrology and UFO-logy and some enter the public conscience through the "bad astronomy" of Star Trek, Star Wars, and other science-fiction movies.. Perhaps most important, Professor Comins presents the reader with the methods for identifying and replacing incorrect ideas-tools with which to probe erroneous notions so that we can begin to question for ourselves... and to think more like scientists. 606 $aAstronomy 606 $aCommon fallacies 608 $aElectronic books. 615 0$aAstronomy. 615 0$aCommon fallacies. 676 $a520 700 $aComins$b Neil F.$f1951-$0753974 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910455009903321 996 $aHeavenly errors$92479289 997 $aUNINA LEADER 03443nam 22005655 450 001 9911022457703321 005 20251208190012.0 010 $a3-031-97442-5 024 7 $a10.1007/978-3-031-97442-7 035 $a(CKB)40851708900041 035 $a(MiAaPQ)EBC32275519 035 $a(Au-PeEL)EBL32275519 035 $a(DE-He213)978-3-031-97442-7 035 $a(OCoLC)1545003009 035 $a(PPN)289059186 035 $a(EXLCZ)9940851708900041 100 $a20250831d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFast Computation of Volume Potentials by Approximate Approximations /$fby Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (516 pages) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2378 311 08$a3-031-97441-7 327 $aChapter 1. Introduction -- Chapter 2. Quasi-interpolation -- Chapter 3. Approximation of integral operators -- Chapter 4. Some other cubature problems -- Chapter 5. Approximate solution of non-stationary problems -- Chapter 6. Integral operators over hyper-rectangular domains. 330 $aThis book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and financial mathematics. A major impediment to solving real world problems is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2378 606 $aApproximation theory 606 $aNumerical analysis 606 $aApproximations and Expansions 606 $aNumerical Analysis 615 0$aApproximation theory. 615 0$aNumerical analysis. 615 14$aApproximations and Expansions. 615 24$aNumerical Analysis. 676 $a511.4 700 $aLanzara$b Flavia$0722520 701 $aMaz?i?a?$b V. G$041932 701 $aSchmidt$b Gu?nther$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911022457703321 996 $aFast Computation of Volume Potentials by Approximate Approximations$94465018 997 $aUNINA