LEADER 03015nam 22005535 450 001 9910983058103321 005 20250107115229.0 010 $a9783031791000 010 $a3031791002 024 7 $a10.1007/978-3-031-79100-0 035 $a(CKB)37156196300041 035 $a(MiAaPQ)EBC31875811 035 $a(Au-PeEL)EBL31875811 035 $a(DE-He213)978-3-031-79100-0 035 $a(OCoLC)1483251587 035 $a(EXLCZ)9937156196300041 100 $a20250107d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Mathematical Insights into Astrophysics /$fby Joel L. Schiff 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (268 pages) 225 1 $aUndergraduate Lecture Notes in Physics,$x2192-4805 311 08$a9783031790997 311 08$a3031790995 327 $aChapter 1. Measurement -- Chapter 2. Down to Earth -- Chapter 3. Let There Be Light -- Chapter 4. Newton?s Laws -- Chapter 5. Kepler?s Laws -- Chapter 6. Climbing the Distance Ladder -- Chapter 7. Hubble?s Law of the Universe -- Chapter 8. Relativity -- Chapter 9. Black Holes -- Chapter 10. The Universe. 330 $aThis book will show how it is possible to explore the Universe not only with telescopes but also with Mathematics. Moreover, this book aims at explaining the equations governing the behavior of the stars, planets, and galaxies, which are very accessible to the average undergraduate who has studied some Mathematics in school. We will also probe into unseen black holes to determine their mass as well as investigate other intriguing celestial phenomena such as dark matter and dark energy, the expansion of the Universe, and explore via Einstein?s Theory of Relativity, the very foundations of space and time itself. You will discover that both Special and General Relativity are absolutely essential for the functioning of the Global Positioning System (GPS), which illustrates how astrophysical ideas can impact everyday lives. Lastly, this book provides insight into how Mathematics allows us to see and hear how the Universe ticks. Each chapter is a front row seat for those who wish to listen to some of the most beautiful music expressed by the Universe, Mathematics. 410 0$aUndergraduate Lecture Notes in Physics,$x2192-4805 606 $aAstrophysics 606 $aAstronomy 606 $aAstrophysics 606 $aAstronomy, Cosmology and Space Sciences 615 0$aAstrophysics. 615 0$aAstronomy. 615 14$aAstrophysics. 615 24$aAstronomy, Cosmology and Space Sciences. 676 $a523.01 700 $aSchiff$b Joel L$059822 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910983058103321 996 $aBasic Mathematical Insights into Astrophysics$94317129 997 $aUNINA