000			07061cam a2200697 i 4500
001			on1091028993
003			OCoLC
005			20220908100155.0
006			m o d
007			cr cnu|||unuuu
008			190401s2019 nju ob 001 0 eng d
040			_aN$T _beng _erda _epn _cN$T _dN$T _dEBLCP _dOCLCF _dDEGRU _dJSTOR _dYDX _dUKAHL _dOCLCQ _dSZR _dUMI _dMM9 _dSFB _dIEEEE _dOCLCO _dOCLCQ _dFAU _dOCLCO
019			_a1149390841 _a1175729840
020			_a9780691189413 _q(electronic bk.)
020			_a0691189412 _q(electronic bk.)
020			_z9780691175393
029	1		_aAU@ _b000065375720
035			_a(OCoLC)1091028993 _z(OCoLC)1149390841 _z(OCoLC)1175729840
037			_a22573/ctvc5q4g5 _bJSTOR
037			_a9453285 _bIEEE
050		4	_aQA303.2
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x034000 _2bisacsh
072		7	_aSTU _x026000 _2bisacsh
082	0	4	_a515 _223
049			_aMAIN
100	1		_aFernandez, Oscar E. _q(Oscar Edward), _eauthor. _964872
245	1	0	_aCalculus simplified / _cOscar E. Fernandez.
264		1	_aPrinceton, New Jersey : _bPrinceton University Press, _c[2019]
264		4	_c�2019
300			_a1 online resource
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references and index.
588	0		_aOnline resource; title from PDF title page (EBSCO, viewed April 2, 2019).
505	0		_aCover; Contents; Preface; To the Student; To the Instructor; Before You Begin . . .; 1. The Fast Track Introduction to Calculus; 1.1 What Is Calculus?; Calculus as a Way of Thinking; What Does "Infinitesimal Change" Mean?; 1.2 Limits: The Foundation of Calculus; 1.3 The Three Difficult Problems That Led to the Invention of Calculus; 2. Limits: How to Approach Indefinitely (and Thus Never Arrive); 2.1 One-Sided Limits: A Graphical Approach; 2.2 Existence of One-Sided Limits; 2.3 Two-Sided Limits; 2.4 Continuity at a Point; 2.5 Continuity on an Interval; 2.6 The Limit Laws
505	8		_a2.7 Calculating Limits-Algebraic Techniques2.8 Limits Approaching Infinity; 2.9 Limits Yielding Infinity; 2.10 Parting Thoughts; Chapter 2 Exercises; 3. Derivatives: Change, Quantified; 3.1 Solving the Instantaneous Speed Problem; 3.2 Solving the Tangent Line Problem-The Derivative at a Point; 3.3 The Instantaneous Rate of Change Interpretation of the Derivative; 3.4 Differentiability: When Derivatives Do (and Don't) Exist; 3.5 The Derivative, a Graphical Approach; 3.6 The Derivative, an Algebraic Approach; Leibniz Notation; 3.7 Differentiation Shortcuts: The Basic Rules
505	8		_a3.8 Differentiation Shortcuts: The Power Rule3.9 Differentiation Shortcuts: The Product Rule; 3.10 Differentiation Shortcuts: The Chain Rule; 3.11 Differentiation Shortcuts: The Quotient Rule; 3.12 (Optional) Derivatives of Transcendental Functions; 3.13 Higher-Order Derivatives; 3.14 Parting Thoughts; Chapter 3 Exercises; 4. Applications of Differentiation; 4.1 Related Rates; 4.2 Linearization; 4.3 The Increasing/Decreasing Test; 4.4 Optimization Theory: Local Extrema; 4.5 Optimization Theory: Absolute Extrema; 4.6 Applications of Optimization
505	8		_a4.7 What the Second Derivative Tells Us About the Function4.8 Parting Thoughts; Chapter 4 Exercises; 5. Integration: Adding Up Change; 5.1 Distance as Area; 5.2 Leibniz's Notation for the Integral; 5.3 The Fundamental Theorem of Calculus; 5.4 Antiderivatives and the Evaluation Theorem; 5.5 Indefinite Integrals; 5.6 Properties of Integrals; 5.7 Net Signed Area; 5.8 (Optional) Integrating Transcendental Functions; 5.9 The Substitution Rule; 5.10 Applications of Integration; 5.11 Parting Thoughts; Chapter 5 Exercises; Epilogue; Acknowledgments; Appendix A: Review of Algebra and Geometry
505	8		_aAppendix B: Review of FunctionsAppendix C: Additional Applied Examples; Answers to Appendix and Chapter Exercises; Bibliography; Index of Applications; Index of Subjects
520			_aAn accessible, streamlined, and user-friendly approach to calculusCalculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a "Goldilocks approach" to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure. Fernandez begins by offering an intuitive introduction to the three key ideas in calculus--limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources--including video tutorials and interactive graphs--are available on the book's website. Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions--these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics--chapter appendices provide additional insights and detail. Finally, an additional appendix explores more in-depth real-world applications of calculus. Learning calculus should be an exciting voyage, not a daunting task. Calculus Simplified gives you the freedom to choose your calculus experience, and the right support to help you conquer the subject with confidence.� An accessible, intuitive introduction to first-semester calculus� Nearly 200 solved problems and more than 300 exercises (all with answers)� No prior knowledge of exponential, logarithmic, or trigonometric functions required� Additional online resources--video tutorials and supplementary exercises--provided
590			_aIEEE _bIEEE Xplore Princeton University Press eBooks Library
650		0	_aCalculus. _965303
650		6	_aCalcul infinit�esimal. _965304
650		7	_acalculus. _2aat _965305
650		7	_aMATHEMATICS _xCalculus. _2bisacsh _916300
650		7	_aMATHEMATICS _xMathematical Analysis. _2bisacsh _916301
650		7	_aCalculus. _2fast _0(OCoLC)fst00844119 _965303
655		0	_aElectronic books. _93294
655		4	_aElectronic books. _93294
776	0	8	_iPrint version: _z069117539X
856	4	0	_uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9453285
938			_aAskews and Holts Library Services _bASKH _nAH36158665
938			_aDe Gruyter _bDEGR _n9780691189413
938			_aProQuest Ebook Central _bEBLB _nEBL5742553
938			_aEBSCOhost _bEBSC _n1949672
938			_aYBP Library Services _bYANK _n16136630
942			_cEBK
994			_a92 _bINTKS
999			_c81436 _d81436