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001 9781315166254
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008 200528s2020 flu ob 001 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9781315166254
_q(electronic bk.)
020 _a1315166259
_q(electronic bk.)
020 _a9781351679459
_q(electronic bk. : PDF)
020 _a1351679457
_q(electronic bk. : PDF)
020 _z9781138055025
020 _a9781351679442
_q(electronic bk. : EPUB)
020 _a1351679449
_q(electronic bk. : EPUB)
020 _a9781351679435
_q(electronic bk. : Mobipocket)
020 _a1351679430
_q(electronic bk. : Mobipocket)
035 _a(OCoLC)1155638021
035 _a(OCoLC-P)1155638021
050 4 _aQA331
_b.P42 2020
072 7 _aMAT
_x037000
_2bisacsh
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aPBK
_2bicssc
082 0 4 _a515/.823
_223
100 1 _aPeterson, James K.
_q(James Kent),
_eauthor.
245 1 0 _aBasic analysis I :
_bfunctions of a real variable /
_cJames K. Peterson.
250 _aFirst edition.
264 1 _aBoca Raton, FL :
_bCRC Press,
_c2020.
300 _a1 online resource (xiv, 580 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aI. Introduction. II.Understanding Smoothness. 2. Proving Propositions. 3. Sequences of Real Numbers. 4. BolzanoWeierstrass Results. 5. Topological Compactness. 6. Function Limits. 7. Continuity. 8. Consequences of continuity of intervals. 9. Lower Semicontinuous and Convex Functions. 10. Basic Differentiability. 11. The Properties of Derivatives. 12. Consequences of Derivatives. 13. Exponential and Logarithm Functions. 14. Extremal Theory for One Variable. 15. Differentiation in R2 and R3.16. Multivariable Extremal Theory. III. Integration and Sequences of Functions. 17. Uniform Continuity. 18. Cauchy Sequences of Real Numbers. 19. Series of Real Numbers. 20. Series in Gerenal. 21. Integration Theiry. 22. Existence of Reimann Integral Theories. 23. The Fundamental Theorem of Calculus (FTOC). 24. Convergence of sequences of functions. 25. Series of Functions and Power Series. 26.Riemann Integration: Discontinuities and Compositions. 27. Fourier Series. 28. Application. IV. Summing it All Up. 29. Summary. V. References. VI. Detailed References.
520 _aBasic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. This book is written with the aim of balancing the theory and abstraction with clear explanations and arguments, so that students who are from a variety of different areas can follow this text and use it profitably for self-study. It can also be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduate mathematics students, or for those in other disciplines requiring a solid grounding in abstraction Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aAnalytic functions
_vTextbooks.
650 0 _aFunctions of real variables
_vTextbooks.
650 0 _aMathematical analysis
_vTextbooks.
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
650 7 _aMATHEMATICS / Applied
_2bisacsh
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781315166254
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c126901
_d126901