| 000 | 08053cam a2200733Ia 4500 | ||
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| 001 | ocn773301085 | ||
| 003 | OCoLC | ||
| 005 | 20230823095413.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 120119s2012 njua ob 001 0 eng d | ||
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_a9781118130155 _q(electronic bk.) |
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| 020 |
_z9781118117750 _q(hardback) |
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| 024 | 8 | _a9786613400833 | |
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_a(OCoLC)773301085 _z(OCoLC)774290354 _z(OCoLC)778620454 _z(OCoLC)816881978 _z(OCoLC)864905879 _z(OCoLC)961536367 _z(OCoLC)962594211 |
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| 037 |
_a10.1002/9781118130155 _bWiley InterScience _nhttp://www3.interscience.wiley.com |
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| 050 | 4 |
_aQA304 _b.I59 2012 |
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_aPB _2bicssc |
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_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. |
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| 300 | _a1 online resource | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_adata file _2rda |
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| 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 ādā and ādā: 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. |
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| 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. |
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| 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 |
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| 650 | 7 |
_aMATHEMATICS _xDifferential Equations _xGeneral. _2bisacsh |
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| 650 | 7 |
_aDifferential calculus. _2fast _0(OCoLC)fst00893441 |
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| 655 | 4 | _aElectronic books. | |
| 655 | 7 |
_aTextbooks. _2fast _0(OCoLC)fst01423863 |
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| 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://dx.doi.org/10.1002/9781118130155 _zWiley Online Library |
| 994 |
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