LEADER 03224nam 22005895 450 001 9910899890303321 005 20241029115520.0 010 $a3-662-69721-1 024 7 $a10.1007/978-3-662-69721-4 035 $a(CKB)36443043500041 035 $a(MiAaPQ)EBC31745207 035 $a(Au-PeEL)EBL31745207 035 $a(DE-He213)978-3-662-69721-4 035 $a(EXLCZ)9936443043500041 100 $a20241029d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential Geometry and Homogeneous Spaces /$fby Kai Köhler 205 $a1st ed. 2024. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2024. 215 $a1 online resource (297 pages) 225 1 $aUniversitext,$x2191-6675 311 $a3-662-69720-3 327 $a1 Manifolds -- 2 Vector Bundles and Tensors -- 3 Riemannian Manifolds -- 4 The Poincaré?Hopf Theorem and the Chern?Gauß?Bonnet Theorem -- 5 Geodesics -- 6 Homogeneous Spaces -- 7 Symmetric Spaces -- 8 General Relativity -- A Solutions to Selected Exercises. 330 $aThis textbook offers a rigorous introduction to the foundations of Riemannian Geometry, with a detailed treatment of homogeneous and symmetric spaces, as well as the foundations of the General Theory of Relativity. Starting with the basics of manifolds, it presents key objects of differential geometry, such as Lie groups, vector bundles, and de Rham cohomology, with full mathematical details. Next, the fundamental concepts of Riemannian geometry are introduced, paving the way for the study of homogeneous and symmetric spaces. As an early application, a version of the Poincaré?Hopf and Chern?Gauss?Bonnet Theorems is derived. The final chapter provides an axiomatic deduction of the fundamental equations of the General Theory of Relativity as another important application. Throughout, the theory is illustrated with color figures to promote intuitive understanding, and over 200 exercises are provided (many with solutions) to help master the material. The book is designed to cover a two-semester graduate course for students in mathematics or theoretical physics and can also be used for advanced undergraduate courses. It assumes a solid understanding of multivariable calculus and linear algebra. 410 0$aUniversitext,$x2191-6675 606 $aGeometry, Differential 606 $aTopological groups 606 $aLie groups 606 $aMathematical physics 606 $aDifferential Geometry 606 $aTopological Groups and Lie Groups 606 $aMathematical Physics 615 0$aGeometry, Differential. 615 0$aTopological groups. 615 0$aLie groups. 615 0$aMathematical physics. 615 14$aDifferential Geometry. 615 24$aTopological Groups and Lie Groups. 615 24$aMathematical Physics. 676 $a516.36 700 $aKöhler$b Kai$01767590 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910899890303321 996 $aDifferential Geometry and Homogeneous Spaces$94213909 997 $aUNINA LEADER 02609nam 22004693 450 001 9910985639203321 005 20240711080259.0 010 $a9781779560186 010 $a1779560184 035 $a(MiAaPQ)EBC31520795 035 $a(Au-PeEL)EBL31520795 035 $a(CKB)32704392300041 035 $a(Exl-AI)31520795 035 $a(OCoLC)1446134454 035 $a(EXLCZ)9932704392300041 100 $a20240711d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Biology, Management, Aquaculture and Fisheries of Lobsters 205 $a1st ed. 210 1$aBurlington :$cArcler Education Inc,$d2024. 210 4$d©2024. 215 $a1 online resource (242 pages) 311 08$a9781774698396 311 08$a1774698390 327 $aCover -- Half Title -- Title Page -- Copyright -- About The Editor -- Table of Contents -- List of Figures -- Preface -- Chapter 1: Introduction To Lobster Aquaculture -- 1.1 Introduction -- 1.2 Lobster -- 1.3 Growth -- 1.4 Molting -- 1.5 Hormones -- 1.6 Population -- 1.7 Larva -- 1.8 Temperature -- 1.9 Variability -- Chapter 2: Distribution Of Lobsters -- 2.1 Introduction -- 2.2 Lobsters -- 2.3 Species -- 2.4 Development -- 2.5 Evolution -- 2.6 Markers -- 2.7 Enzymes -- 2.8 Distribution -- 2.9 Growth -- 2.10 Fishery Management -- Chapter 3: Management Of Slipper Lobster$7Generated by AI. 330 $aThis book delves into the biology, management, aquaculture, and fisheries of lobsters, focusing on their commercial significance and research potential in physiology, biochemistry, and neurobiology. It addresses the ecological and economic pressures faced by lobster populations due to intensive fishing and outdated management practices. The book aims to provide insights into sustainable lobster management and aquaculture techniques, appealing to graduate students and research scientists. Edited by Dr. Sandip S. Markad, an expert in fisheries science, the text serves as a comprehensive guide for understanding lobster biology and fisheries management.$7Generated by AI. 606 $aLobsters$7Generated by AI 606 $aFishery management$7Generated by AI 615 0$aLobsters 615 0$aFishery management 700 $aMarkad$b Sandip S$01794214 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910985639203321 996 $aThe Biology, Management, Aquaculture and Fisheries of Lobsters$94334762 997 $aUNINA