Introduction to differential calculus : systematic studies with engineering applications for beginners /

"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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Rohde, Ulrich L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hoboken, N.J. : Wiley, 2012.
Edición:1st ed.
Temas:
Differential calculus > Textbooks.
MATHEMATICS > Calculus.
MATHEMATICS > Differential Equations > General.
Differential calculus
Càlcul diferencial.
Textbooks
Llibres electrònics.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • 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.

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