Calculus and analytic geometry /
Stein, Sherman K.
Calculus and analytic geometry / Sherman K. Stein - Second edition. - New York : McGraw Hill Education, c1977 - xiv, 994 pages : illustrations ; 24 cm.
Includes index.
1 The two main concepts -- 2 Functions, graphs, and the slope of a line -- 3 The derivative -- 4 Limits and continuous functions -- 5 The computation of derivatives -- 6 Applications of derivative -- 7 The definite integral 8 The fundamental theorems of calculus -- 9 Computing antiderivatives -- 10 Computing and applying definite integrals over intervals -- 11 Additional applications of the derivative -- 12 Partial derivatives -- 13 Definite integrals over plane regions -- 14 Series -- 15 Taylor's series and the growth of a function -- 16 The moment of a function -- 17 Mathematical models -- 18 Definite integrals over solid regions -- 19 Algebraic operations on vectors -- 20 The derivative of a vector function -- 21 Integrals of scalar and vector fields -- 22 Green's theorem and its generalizations -- 23 The interchange of limits.
Our goal has been to provide the student and instructor with a readable, flexible text that covers the important topics of single and multivariable calculus as simply and as intuitively as possible.
70610088
CALCULUS
QA 303 .S74 1977
Calculus and analytic geometry / Sherman K. Stein - Second edition. - New York : McGraw Hill Education, c1977 - xiv, 994 pages : illustrations ; 24 cm.
Includes index.
1 The two main concepts -- 2 Functions, graphs, and the slope of a line -- 3 The derivative -- 4 Limits and continuous functions -- 5 The computation of derivatives -- 6 Applications of derivative -- 7 The definite integral 8 The fundamental theorems of calculus -- 9 Computing antiderivatives -- 10 Computing and applying definite integrals over intervals -- 11 Additional applications of the derivative -- 12 Partial derivatives -- 13 Definite integrals over plane regions -- 14 Series -- 15 Taylor's series and the growth of a function -- 16 The moment of a function -- 17 Mathematical models -- 18 Definite integrals over solid regions -- 19 Algebraic operations on vectors -- 20 The derivative of a vector function -- 21 Integrals of scalar and vector fields -- 22 Green's theorem and its generalizations -- 23 The interchange of limits.
Our goal has been to provide the student and instructor with a readable, flexible text that covers the important topics of single and multivariable calculus as simply and as intuitively as possible.
70610088
CALCULUS
QA 303 .S74 1977