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Calculus and its Applications
โ Scribed by P. Mainardi and H. Barkan (Auth.)
- Publisher
- Elsevier Inc
- Year
- 1963
- Tongue
- English
- Leaves
- 541
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Front Matter, Page i
Copyright, Page ii
PREFACE, Pages iii-iv
CHAPTER I - FUNDAMENTAL IDEAS, Pages 1-55
CHAPTER II - DERIVATIVE, Pages 56-80
CHAPTER III - DIFFERENTIATION AND APPLICATIONS, Pages 81-106
CHAPTER IV - HIGHER ORDER DERIVATIVES, Pages 107-118
CHAPTER V - DIFFERENTIATION OF THE TRIGONOMETRIC FUNCTIONS, Pages 119-133
CHAPTER VI - EXPONENTIAL AND LOGARITHMIC FUNCTIONS, Pages 134-145
CHAPTER VII - DIFFERENTIALS AND PARAMETRIC EQUATIONS, Pages 146-169
CHAPTER VIII - VECTORS, Pages 170-179
CHAPTER IX - ANTI-DIFFERENTIATION, Pages 180-195
CHAPTER X - SEPARABLE DIFFERENTIAL EQUATIONS, Pages 196-209
CHAPTER XI - DEFINITE INTEGRAL, Pages 210-237
CHAPTER XII - APPLICATIONS OF THE DEFINITE INTEGRAL, Pages 238-268
CHAPTER XIII - ADDITIONAL APPLICATIONS OF THE DEFINITE INTEGRAL, Pages 269-312
CHAPTER XIV - TECHNIQUE OF INTEGRATION, Pages 313-333
CHAPTER XV - APPROXIMATE INTEGRATION, Pages 334-343
CHAPTER XVI - SOLID ANALYTIC GEOMETRY, Pages 344-382
CHAPTER XVII - MULTIPLE INTEGRALS, Pages 383-404
CHAPTER XVIII - INFINITE SERIES, Pages 405-439
CHAPTER XIX - DIFFERENTIATION OF FUNCTIONS OF SEVERAL VARIABLES, Pages 440-457
CHAPTER XX - DIFFERENTIAL EQUATIONS, Pages 458-474
TABLE OF INTEGRALS, Pages 475-482
TRIGONOMETRIC FUNCTIONS, Pages 483-500
ANSWERS TO ODD-NUMBERED PROBLEMS, Pages 501-531
INDEX, Pages 532-537
๐ SIMILAR VOLUMES
<div>This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations
<p><span>Fractal calculus is the simple, constructive, and algorithmic approach to natural processes modeling, which is impossible using smooth differentiable structures and the usual modeling tools such as differential equations. It is the calculus of the future and will have many applications.</sp
<i>For one- or two-semester courses in Calculus for students majoring in business, social sciences, and life sciences.</i><b>Intuition before Formality</b><b>Calculus & Its Applications</b>builds intuition with key concepts of calculus before the analytical material. For example, the authors exp