000			08523cam a2200829Ia 4500
001			ocn773301085
003			OCoLC
005			20171224113813.0
006			m o d
007			cr cn|||||||||
008			120119s2012 njua ob 001 0 eng d
040			_aDG1 _beng _epn _cDG1 _dE7B _dOCLCQ _dYDXCP _dCDX _dCOO _dEBLCP _dOCLCO _dOCLCQ _dCOD _dN$T _dOCLCF _dOCLCQ _dIDEBK _dRECBK _dDEBSZ _dDEBBG _dOCLCQ _dAZK _dDG1
019			_a774290354 _a778620454 _a816881978 _a864905879 _a961536367 _a962594211
020			_a9781118130155 _q(electronic bk.)
020			_a1118130154 _q(electronic bk.)
020			_a9781118130124 _q(electronic bk.)
020			_a111813012X _q(electronic bk.)
020			_a1283400839
020			_a9781283400831
020			_a9781118130148 _q(electronic bk.)
020			_a1118130146 _q(electronic bk.)
020			_z1118117751
020			_z9781118117750 _q(hardback)
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035			_a(OCoLC)773301085 _z(OCoLC)774290354 _z(OCoLC)778620454 _z(OCoLC)816881978 _z(OCoLC)864905879 _z(OCoLC)961536367 _z(OCoLC)962594211
037			_a10.1002/9781118130155 _bWiley InterScience _nhttp://www3.interscience.wiley.com
050		4	_aQA304 _b.I59 2012
072		7	_aMAT _x007000 _2bisacsh
072		7	_aPB _2bicssc
082	0	4	_a515/.33 _223
049			_aMAIN
245	0	0	_aIntroduction to differential calculus : _bsystematic studies with engineering applications for beginners / _cUlrich L. Rohde [and others].
250			_a1st ed.
260			_aHoboken, N.J. : _bWiley, _c2012.
300			_a1 online resource
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
380			_aBibliography
505	0		_aFrontmatter -- From Arithmetic to Algebra -- The Concept of a Function -- Discovery of Real Numbers: Through Traditional Algebra -- From Geometry to Coordinate Geometry -- Trigonometry and Trigonometric Functions -- More About Functions -- The Concept of Limit of a Function -- Methods for Computing Limits of Algebraic Functions -- The Concept of Continuity of a Function, and Points of Discontinuity -- The Idea of a Derivative of a Function -- Algebra of Derivatives: Rules for Computing Derivatives of Various Combinations of Differentiable Functions -- Basic Trigonometric Limits and Their Applications in Computing Derivatives of Trigonometric Functions -- Methods of Computing Limits of Trigonometric Functions -- Exponential Form(s) of a Positive Real Number and its Logarithm(s): Pre-Requisite for Understanding Exponential and Logarithmic Functions -- Exponential and Logarithmic Functions and Their Derivatives -- Methods for Computing Limits of Exponential and Logarithmic Functions -- Inverse Trigonometric Functions and Their Derivatives -- Implicit Functions and Their Differentiation -- Parametric Functions and Their Differentiation -- Differentials ₃d₄ and ₃d₄: Meanings and Applications -- Derivatives and Differentials of Higher Order -- Applications of Derivatives in Studying Motion in a Straight Line -- Increasing and Decreasing Functions and the Sign of the First Derivative -- Maximum and Minimum Values of a Function -- Rolle's Theorem and the Mean Value Theorem (MVT) -- The Generalized Mean Value Theorem (Cauchy's MVT), L' Hospital's Rule, and their Applications -- Extending the Mean Value Theorem to Taylor's Formula: Taylor Polynomials for Certain Functions -- Hyperbolic Functions and Their Properties -- Appendix A (Related To Chapter-2): Elementary Set Theory -- Appendix B (Related To Chapter-4) -- Appendix C (Related To Chapter-20) -- Index.
520			_a"Through the use of examples and graphs, this book maintains a high level of precision in clarifying prerequisite materials such as algebra, geometry, coordinate geometry, trigonometry, and the concept of limits. The book explores concepts of limits of a function, limits of algebraic functions, applications and limitations for limits, and the algebra of limits. It also discusses methods for computing limits of algebraic functions, and explains the concept of continuity and related concepts in depth. This introductory submersion into differential calculus is an essential guide for engineering and the physical sciences students"-- _cProvided by publisher.
520			_a"This book explores the differential calculus and its plentiful applications in engineering and the physical sciences. The first six chapters offer a refresher of algebra, geometry, coordinate geometry, trigonometry, the concept of function, etc. since these topics are vital to the complete understanding of calculus. The book then moves on to the concept of limit of a function. Suitable examples of algebraic functions are selected, and their limits are discussed to visualize all possible situations that may occur in evaluating limit of a function, other than algebraic functions"-- _cProvided by publisher.
504			_aIncludes bibliographical references and index.
500			_aMachine generated contents note: Chapter One. From Arithmetic to Algebra. Chapter Two. The Concept of Function. Chapter Three. Discovery of Real Numbers (Through Traditional Algebra). Chapter Four. From Geometry to Co-ordinate Geometry. Chapter Five. Trigonometry and Trigonometric Functions. Chapter Six. More about Functions. Chapter Seven. (a): The Concept of Limit of a Function. Chapter Seven. (b): Methods for Computing Limits of Algebraic Functions. Chapter Eight. The Concept of Continuity of a Function and the Points of Discontinuity. Chapter Nine. The Idea of Derivative of a Function. Chapter Ten. Algebra of Derivatives: Rules for Computing Derivatives of Various Combinations of Differentiable Functions. Chapter Eleven. (a): Basic Trigonometric Limits and Their Applications in Computing Derivatives of Trigonometric Functions. Chapter Eleven. (b): Methods of Computing Limits of Trigonometric Functions. Chapter Twelve: Exponential Form(s) of a Positive Real Numbers and its Logarithms. Chapter Thirteen. (a): Exponential and Logarithmic Functions as Their Derivatives. Chapter Thirteen. (b): Methods for Computing Limits and Exponential and Logarithmic Functions. Chapter Fourteen. Inverse Trigonometric Functions and Their Derivatives. Chapter Fifteen. (a): Implicit Functions and Their Differentiation. Chapter Fifteen. (b): Parametric Functions and Their Differentiation. Chapter Sixteen. Differentials 'dy' and 'dx': Meanings and Applications. Chapter Seventeen. Derivatives and Differentials of Higher Order. Chapter Eighteen. Applications of Derivatives in Studying Motion in a Straight Line. Chapter Nineteen. (a): Increasing and Decreasing Functions and the Sign of the First Derivative. Chapter Nineteen. (b): Maximum and Minimum Values of a Function. Chapter Twenty. Rolle's Theorem and the Mean Value Theorem (MVT). Chapter Twenty One. The Generalized Mean Value Theorem (Cauchy's MVT), L'Hospital's Rule, and Its Applications. Chapter Twenty Two. Extending the Mean Value Theorem to Taylor's Formula: Taylor Polynomials for Certain Functions. Chapter Twenty Three. Hyperbolic Functions and Their Properties.
588	0		_aPrint version record.
650		0	_aDifferential calculus _vTextbooks.
650		7	_aMATHEMATICS _xCalculus. _2bisacsh
650		7	_aMATHEMATICS _xDifferential Equations _xGeneral. _2bisacsh
650		7	_aDifferential calculus. _2fast _0(OCoLC)fst00893441
655		4	_aElectronic books.
655		7	_aTextbooks. _2fast _0(OCoLC)fst01423863
700	1		_aRohde, Ulrich L.
776	0	8	_iPrint version: _tIntroduction to differential calculus. _b1st ed. _dHoboken, N.J. : Wiley, 2012 _z9781118117750 _w(DLC) 2011018421 _w(OCoLC)731913148
856	4	0	_uhttp://onlinelibrary.wiley.com/book/10.1002/9781118130155 _zWiley Online Library
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