عنوان

What is calculus? :

(Number (ISBN

9789814644471

(Number (ISBN

9789814644488

(Number (ISBN

9814644471

(Number (ISBN

981464448X

Title Proper

What is calculus? :

General Material Designation

[Book]

Other Title Information

from simple algebra to deep analysis /

First Statement of Responsibility

R. Michael Range, State University of New York at Albany, USA.

Place of Publication, Distribution, etc.

New Jersey :

Name of Publisher, Distributor, etc.

World Scientific,

Date of Publication, Distribution, etc.

2016.

Specific Material Designation and Extent of Item

xxxi, 340 pages :

Other Physical Details

illustrations ;

Dimensions

24 cm

Text of Note

Includes index.

Text of Note

Tangents to circles -- Tangents to parabolas -- Motion with variable speed -- Tangents to graphs of polynomials -- Rules for differentiation -- More general algebraic functions -- Beyond algebraic functions -- The cast : functions of a real variable -- Real numbers -- Functions -- Simple periodic functions -- Exponential functions -- Natural operations on functions -- Algebraic operations and functions -- Derivatives : how to measure change -- Algebraic derivatives by approximation -- Derivatives of exponential functions -- Differentiability and local linear approximation -- Properties of continuous functions -- Derivatives of trigonometric functions -- Simple differentiation rules -- Product and quotient rules -- Some applications of derivatives -- Exponential models -- The inverse problem and antiderivatives -- "Explosive growth" models -- Acceleration and motion with constant acceleration -- Periodic motions -- Geometric properties of graphs -- An algorithm for solving equations -- Applications to optimization -- Higher order approximations and Taylor polynomials -- The definite integral -- The area problem -- More applications of definite integrals -- Properties of definite integrals -- The fundamental theorem of calculus -- Existence of definite integrals -- Reversing the chain rule : substitution -- Reversing the product rule : integration by parts -- Higher order approximations, part 2: Taylor's theorem -- Excursion into complex numbers and the Euler identity.

0

Calculus, Textbooks.

Algebra

Calculus, Textbooks.

Calculus.

Infinitesimalrechnung

Number

Edition

Class number

Book number

Class number

System Code

Range, R. Michael.

Date of Transaction

20200823232228.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y