The Manga Guide to Calculus
The Manga Guide to Calculus teaches calculus in an original and refreshing way, by combining Japanese-style Manga cartoons with serious content. This is real calculus combined with real Manga. The book's story revolves around heroine, Noriko. Noriko takes a job with a local newspaper and quickl...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
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San Francisco :
No Starch Press
2009.
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| Edición: | English ed |
| Colección: | The manga guide series The manga guide to calculus
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| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009627900306719 |
Tabla de Contenidos:
- Table of Contents; Preface; Prologue:What Is A Function?; Chapter 1: Let's Differentiate a Function!; Approximating with Functions; Calculating the Relative Error; The Derivative in Action!; Calculating the Derivative; Summary; Exercises; Chapter 2: Let's Learn Differentiation Techniques!; The Sum Rule of Differentiation; The Product Rule of Differentiation; Differentiating Polynomials; Finding Maxima and Minima; Using the Mean Value Theorem; Using the Quotient Rule of Differentiation; Calculating Derivatives of Composite Functions; Calculating Derivatives of Inverse Functions; Exercises
- Chapter 3: Let's Integrate a Function!Illustrating the Fundamental Theorem of Calculus; Using the Fundamental Theorem of Calculus; Applying the Fundamental Theorem; Review of the Fundamental Theorem of Calculus; Formula of the Substitution Rule of Integration; The Power Rule of Integration; Exercises; Chapter 4: Let's Learn Integration Techniques!; Using Trigonometric Functions; Using Integrals with Trigonometric Functions; Using Exponential and Logarithmic Functions; Summary of Exponential and Logarithmic Functions; More Applications of the Fundamental Theorem; Exercises
- Chapter 5: Let's Learn About Taylor Expansions!Imitating with Polynomials; How to Obtain a Taylor Expansion; Taylor Expansion of Various Functions; What Does Taylor Expansion Tell Us?; Exercises; Chapter 6: Let's Learn About Partial Differentiation!; What Are Multivariable Functions?; The Basics of Variable Linear Functions; Tanaka School Sunday; Partial Differentiation; Total Differentials; Conditions for Extrema; Applying Partial Differentiation to Economics; The Chain Rule; Derivatives of Implicit Functions; Exercises; Epilogue:What Is Mathematics for?; Appendix A: Solutions to Exercises
- PrologueChapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Chapter 6; Appendix B: Main Formulas, Theorems, and Functions Covered in this Book; Linear Equations (Linear Functions); Differentiation; Derivatives of Popular Functions; Integrals; Index; Taylor Expansion; Partial Derivatives
