Fundamental ideas, rates and differentials. Functions and derivatives. Differentials of algebraic functions. Use of rates and differentials in solving problems. Differentials of trigonometric functions. Velocity, acceleration and derivatives. Interpretation of functions and derivatives by means of graphs. Maximum and minimum values. Problems in maxima and minima. Differentials of logarithmic and exponential functions. Summary of differential formulas. Reversing the process of differentiation. Integral formulas. How to use integral formulas. Interpretation of integrals by means of graphs. Graphical applications of integration. Use of integrals in solving problems. The natural law of growth and the number.

"[Acheson] introduces the fundamental ideas of calculus through the story of how the subject developed, from approximating π to imaginary numbers, and from Newton's falling apple to the vibrations of an electric guitar."--Back cover

If you are an advanced high-school student preparing for Honors Calculus, AB and BC Calculus, or a student who needs an introductory Calculus (College review), this is the perfect book for you. This easy to understand reference Calculus (Differentiation & Integration) not only explains calculus in terms you can understand the concepts, but it also gives you the necessary tools and guide to approach and solve different/complex problems with strong confidence. As a textbook supplement or workbook, teachers, parents, and students will consider the Mathradar series "Must-Have" prep for self -study and test. This book will be the most comprehensive study guide for you. Calculus (Differentiation & Integration) covers the following 7 chapters: *Chapter 1: The Concept of Limits (Limits of Sequences, Limits of Geometric Sequences, Series, Geometric Series) *Chapter 2: Limits of Functions and Continuity (Limits of Functions, Special Limits, Continuity) *Chapter 3: The Derivative (Definition of the Derivative, Continuity of Differentiable Functions, Computation of Derivatives, Higher-Order Derivatives) *Chapter 4: Applications of the Derivative (The Normal to a Curve, The Mean Value Theorem, Monotonicity and Concavity, L'Hopital's Rule, Applications of Differentiation) *Chapter 5: The Indefinite Integral (Antiderivatives and Indefinite Integration, Integrating Trigonometric and Exponential Functions, Techniques of Integration) *Chapter 6: The Definite Integral (Integrals and Area, The Definite Integral, Properties of the Definite Integral, Evaluating Definite Integrals) *Chapter 7: Applications of the Integral (The Area of a Plane Region, The Area of a Region between Two Curves, Volumes of Solids, Arc Length) This book includes thoroughly explained concepts and detailed illustrations of Calculus with a comprehensive Solutions Manual. With the Solutions Manual, students will be able to learn various ways to solve problems and understand difficult concepts step by step, on your own, at your own pace. Other titles by MathRadar: * Algebra-Number Systems * Algebra-Expressions * Algebra-Functions plus Statistics & Probability * Geometry * Algebra 2 and Pre-Calculus (Volume I) * Algebra 2 and Pre-Calculus (Volume II) * Solutions Manual for Algebra 2 and Pre-Calculus (Volume I) * Solutions Manual for Algebra 2 and Pre-Calculus (Volume II) * Calculus (Differentiation & Integration) * Solutions Manual for Calculus (Differentiation & Integration) "

A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.

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