000			03990cam a22006131i 4500
001			9781003031574
003			FlBoTFG
005			20220509193134.0
006			m d
007			cr |||||||||||
008			200915s2020 flua ob 001 0 eng d
040			_aOCoLC-P _beng _erda _epn _cOCoLC-P
020			_a9781000223361 _q(ePub ebook)
020			_a1000223361
020			_a9781000223347 _q(PDF ebook)
020			_a1000223345
020			_a9781000223354 _q(Mobipocket ebook)
020			_a1000223353
020			_a9781003031574 _q(ebook)
020			_a1003031579
020			_z9780367468644 (hbk.)
024	7		_a10.1201/9781003031574 _2doi
035			_a(OCoLC)1233321295
035			_a(OCoLC-P)1233321295
050		4	_aQA641
072		7	_aMAT _x004000 _2bisacsh
072		7	_aSCI _x040000 _2bisacsh
072		7	_aMAT _x012000 _2bisacsh
072		7	_aPHU _2bicssc
082	0	4	_a516.36 _223
100	1		_aCouto, Ivo Terek, _eauthor.
245	1	0	_aIntroduction to Lorentz geometry : _bcurves and surfaces / _cIvo Terek Couto, Alexandre Lymberopoulos.
250			_a1st.
264		1	_aBoca Raton : _bChapman & Hall/CRC, _c2020.
300			_a1 online resource : _billustrations (black and white)
336			_atext _2rdacontent
336			_astill image _2rdacontent
337			_acomputer _2rdamedia
338			_aonline resource _2rdacarrier
500			_aTranslated from the Portuguese.
500			_a<P>1. Welcome to Lorentz-Minkowski Space. 1.1. Pseudo-Euclidean Spaces. 1.2. Subspaces of<STRONG> RQe</STRONG>. 1.3. Contextualization in Special Relativity. 1.4. Isometries in RQe. 1.5. Investigating O1(2, <B>R</B>) And O1(3, <B>R</B>). 1.6 Cross Product in <STRONG>RQe</STRONG>. 2. Local Theory of Curves. 2.1. Parametrized Curves in <STRONG>RQe</STRONG>. 2.2. Curves in the Plane. 2.3. Curves in Space. 3. Surfaces in Space. 3.1. Basic Topology of Surfaces. 3.2. Casual type of Surfaces, First Fundamental Form. 3.3. Second Fundamental Form and Curvatures. 3.4. The Diagonalization Problem. 3.5. Curves in Surface. 3.6. Geodesics, Variational Methods and Energy. 3.7. The Fundamental Theorem of Surfaces. 4. Abstract Surfaces and Further Topics. 4.1. Pseudo-Riemannian Metrics. 4.2. Riemann's Classification Theorem. 4.3. Split-Complex Numbers and Critical Surfaces. 4.4 Digression: Completeness and Causality</P>
520			_aLorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aGeometry, Differential.
650		0	_aLorentz transformations.
650		0	_aCurves.
650		0	_aSurfaces.
650		0	_aMathematical physics.
650		7	_aMATHEMATICS / Arithmetic _2bisacsh
650		7	_aSCIENCE / Mathematical Physics _2bisacsh
650		7	_aMATHEMATICS / Geometry / General _2bisacsh
700	1		_aLymberopoulos, Alexandre, _eauthor.
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9781003031574
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c130674 _d130674