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

Table of Contents: “…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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Undergraduate analysis : a working textbook / by McCluskey, Aisling, McMaster, Brian

Table of Contents: “…6 Special (or specially awkward) examples6.1 Introduction; 6.2 Important examples of convergence; 7 Endless sums -- a first look at series; 7.1 Introduction; 7.2 Definition and easy results; 7.3 Big series, small series: comparison tests; 7.4 The root test and the ratio test; 8 Continuous functions -- the domain thinks that the graph is unbroken; 8.1 Introduction; 8.2 An informal view of continuity; 8.3 Continuity at a point; 8.4 Continuity on a set; 8.5 Key theorems on continuity; 8.6 Continuity of the inverse; 9 Limit of a function; 9.1 Introduction; 9.2 Limit of a function at a point…”
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Mathematics for agricultural and life sciences : principles of calculus with solved problems / by Caprara, Claudio

Table of Contents: “…Functions of Real Variables -- Chapter 4. Limit of a Function -- Chapter 5. Derivative of a Function -- Chapter 6. …”
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A course of philosophy and mathematics : toward a general theory of reality / by Laos, Nicolas K., 1974-

Table of Contents: “…Infinite Series and Infinite Products -- 2.6. The Limit of a Function -- Preliminary Concepts -- The Limit of a Function -- 2.7. …”
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Functional Grammar : a Field Approach. by Bondarko, A. V.

Table of Contents: “…Explicit and implicit limitAbsolute and relative limit; Limitativity as a functional-semantic field; The varieties of limitative relations; Limitedness/unlimitedness of the action. …”
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Matrix differential calculus with applications in statistics and econometrics / by Magnus, Jan R., Neudecker, Heinz

Table of Contents: “…Part Two -- Differentials: the theoryChapter 4 Mathematical preliminaries; 1 Introduction; 2 Interior points and accumulation points; 3 Open and closed sets; 4 The Bolzano-Weierstrass theorem; 5 Functions; 6 The limit of a function; 7 Continuous functions and compactness; 8 Convex sets; 9 Convex and concave functions; Bibliographical notes; Chapter 5 Differentials and differentiability; 1 Introduction; 2 Continuity; 3 Differentiability and linear approximation; 4 The differential of a vector function; 5 Uniqueness of the differential; 6 Continuity of differentiable functions…”
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Evaluation of the Effects and Consequences of Major Accidents in Industrial Plants. by Casal, Joaquim

Table of Contents: “…2.8.7 Loss-of-Containment Events in Transport Units in an Establishment2.8.8 Pool Evaporation; 2.8.9 Outflow and Atmospheric Dispersion; Nomenclature; References; 3 Fire Accidents; 3.1 Introduction; 3.2 Combustion; 3.2.1 Combustion Reaction and Combustion Heat; 3.2.2 Premixed Flames and Diffusion Flames; 3.3 Types of Fire; 3.3.1 Pool Fires; 3.3.2 Jet Fires; 3.3.3 Flash Fires; 3.3.4 Fireballs; 3.4 Flammability; 3.4.1 Flammability Limits; 3.4.1.1 Estimation of Flammability Limits; 3.4.1.2 Flammability Limits of Gas Mixtures; 3.4.1.3 Flammability Limits as a Function of Pressure.…”
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