LEADER 00963cam1 2200253 450 001 E600200019735 005 20151211130326.0 100 $a20060703d2006 |||||ita|0103 ba 101 $aita 102 $aIT 200 1 $aCinema muto italiano$fcur. Michele Canosa$gGiulia Carluccio$gFederica Villa 210 $aRoma$cCarocci$d2006 215 $a2 v.$cill.$d22 cm 463 1$1001SOBE00050402$12000 $a<<1: >>Discorsi, precetti, documenti / cur. Michele Canosa ; Giulia Carluccio ; Federica Villa 463 1$1001SOBE00050403$12000 $a<<2: >>Brevetti, macchine, mestieri / a cura di Michele Canosa ; Giulia Carluccio ; Federica Villa 702 1$aCANOSA, Michele$3AF00015321$4070 702 1$aCarluccio, Giulia$3AF00003549$4070 702 1$aVILLA, Federica$3AF00004665$4070 801 0$aIT$bUNISOB$c20151211$gRICA 912 $aE600200019735 940 $aM 102 Monografia moderna SBN 941 $aM 996 $aCinema muto italiano$91692315 997 $aUNISOB LEADER 04954nam 22006375 450 001 9910299782903321 005 20251116134443.0 010 $a3-319-18413-X 024 7 $a10.1007/978-3-319-18413-5 035 $a(CKB)3710000000402892 035 $a(EBL)2094826 035 $a(SSID)ssj0001501730 035 $a(PQKBManifestationID)11901934 035 $a(PQKBTitleCode)TC0001501730 035 $a(PQKBWorkID)11446828 035 $a(PQKB)11523939 035 $a(DE-He213)978-3-319-18413-5 035 $a(MiAaPQ)EBC2094826 035 $a(PPN)185486509 035 $a(EXLCZ)993710000000402892 100 $a20150425d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSpace-Time Algebra /$fby David Hestenes 205 $a2nd ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015. 215 $a1 online resource (122 p.) 300 $aOriginally published by Gordon and Breach Science Publishers, New York, 1966. 311 08$a3-319-18412-1 320 $aIncludes bibliographical references. 327 $aPreface to the Second Edition -- Introduction -- Part I:Geometric Algebra -- 1.Interpretation of Clifford Algebra -- 2.Definition of Clifford Algebra -- 3.Inner and Outer Products -- 4.Structure of Clifford Algebra -- 5.Reversion, Scalar Product -- 6.The Algebra of Space -- 7.The Algebra of Space-Time -- Part II: Electrodynamics -- 8.Maxwell's Equation -- 9.Stress-Energy Vectors -- 10.Invariants -- 11.  Free Fields -- Part III: Dirac Fields -- 12.Spinors -- 13.Dirac's Equation -- 14.Conserved Currents -- 15.C, P, T -- Part IV: Lorentz Transformations -- 16.Reflections and Rotations -- 17.Coordinate Transformations -- 18.Timelike Rotations -- 19.Scalar Product -- Part V:Geometric Calculus -- 20.Differentiation -- 21.Coordinate Transformations -- 22.Integration -- 23.Global and Local Relativity -- 24.Gauge Transformation and Spinor Derivatives -- Conclusion -- Appendices -- A. Bases and Pseudoscalars -- B. Some Theorems -- C. Composition of Spacial Rotations -- D. Matrix Representation of the Pauli Algebra. 330 $aThis small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient ?toolkit? for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) ? only one mathematical system needs to be learned and understood, and one can use it at levels which extend right through to current research topics in each of these areas. These same techniques, in the form of the ?Geometric Algebra?, can be applied in many areas of engineering, robotics and computer science, with no changes necessary ? it is the same underlying mathematics, and enables physicists to understand topics in engineering, and engineers to understand topics in physics (including aspects in frontier areas), in a way which no other single mathematical system could hope to make possible. There is another aspect to Geometric Algebra, which is less tangible, and goes beyond questions of mathematical power and range. This is the remarkable insight it gives to physical problems, and the way it constantly suggests new features of the physics itself, not just the mathematics. Examples of this are peppered throughout ?Space-Time Algebra?, despite its short length, and some of them are effectively still research topics for the future. From the Foreword by Anthony Lasenby. 606 $aMathematical physics 606 $aPhysics 606 $aGeometry, Differential 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 615 0$aMathematical physics. 615 0$aPhysics. 615 0$aGeometry, Differential. 615 14$aMathematical Applications in the Physical Sciences. 615 24$aMathematical Methods in Physics. 615 24$aDifferential Geometry. 676 $a510 676 $a516.36 676 $a519 676 $a530.15 700 $aHestenes$b David$f1933-$4aut$4http://id.loc.gov/vocabulary/relators/aut$011915 906 $aBOOK 912 $a9910299782903321 996 $aSpace-time algebra$9191316 997 $aUNINA