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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.
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The fundamental operations. Calculation with decimais. Approximate results in calculation. Factors, multiples and divisors. Fractions. Power and roots. Logarithms. Use of logarithms in arithmetic. Ratio and proportion. Series and progressions. Systems of common measures. Calculation with denominate numbers. Time, temperature and angle measure. Latitude, longitude and time. Dimensions and areas of plane figues. Dimensions, areas and volumes of solids. Graphs. Percentage. Compound interest.
A step-by-step guide to calculus featuring practice questions and exercises to help people improve their understanding of the mathematical study of change. First published in 1945, this edition of J. E. Thompson’s Calculus for the Practical Man is the ideal simple guide for those who are studying physics or mathematical courses at university, or for those who wish to brush up on the calculus they learnt while in higher education. Each chapter features illustrated examples of solved problems, and there are practice exercises for the reader to try at the end of each section. The contents of this volume includes: - 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
A portrait of the late Nobel Prize-winning physicist recounts his early enthusiasm for science, work on the atom bomb, and inquiry into the Challenger explosion.
Most books about research address the ?how to” of inquiry, rather than the ?why.” Foundations for Inquiry enlightens readers about the variety of philosophic assumptions regarding inquiry and organizational phenomena; demonstrates how these assumptions shape subsequent choices about theories; and shows how theoretical and philosophic choices consequently shape and guide the research process.
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