عنوان

A Formal Background to Mathematics 2a

شابک

9780387905136

شابک

9781461380962

شماره

dltt

عنوان اصلي

A Formal Background to Mathematics 2a

نام عام مواد

[Book]

ساير اطلاعات عنواني

A Critical Approach to Elementary Analysis /

نام نخستين پديدآور

by Robert Edwards.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Springer New York,

تاریخ نشرو بخش و غیره

1980.

عنوان فروست

Universitext,

شاپا ي ISSN فروست

0172-5939

متن يادداشت

VII: Convergence of Sequences -- Hidden hypotheses -- VII.1 Sequences convergent inR -- VII.2 Infinite limits -- VII.3 Subsequences -- VII.4 The Monotone Convergence Principle again -- VII.5 Suprema and infima of sets of real numbers -- VII.6 Exponential and logarithmic functions -- VII.7 The General Principle of Convergence -- VIII: Continuity and Limits of Functions -- and hidden hypotheses -- VIII.1 Continuous functions -- VIII.2 Properties of continuous functions -- VIII.3 General exponential, logarithmic and power functions -- VIII.4 Limit of a function at a point -- VIII.5 Uniform continuity -- VIII.6 Convergence of sequences of functions -- VIII.7 Polynomial approximation -- VIII.8 Another approach to expa -- IX: Convergence of Series -- and hidden hypotheses -- IX.1 Series and their convergence -- IX.2 Absolute and conditional convergence -- IX.3 Decimal expansions -- IX.4 Convergence of series of functions -- X: Differentiation -- and hidden hypotheses -- X.1 Derivatives -- X.2 Rules for differentiation -- X.3 The mean value theorem and its corollaries -- X.4 Primitives -- X.5 Higher order derivatives -- X.6 Extrema and derivatives -- X.7 A differential equation and the exponential function again -- X.8 Calculus in several variables -- XI: Integration -- XI.1 Integration and area -- XI.2 Analytic definition and study of integration -- XI.3 Integrals and primitives -- XI.4 Integration by parts -- XI.5 Integration by change of variable (or by substitution) -- XI.6 Termwise integration of sequences of functions -- XI.7 Improper integrals -- XI.8 First order linear differential equations -- XI.9 Integrals in several variables -- XII: Complex Numbers: Complex Exponential and Trigonometric Functions -- XII.1 Definition of complex numbers -- XII.2 Groups, subgroups and homomorphisms -- XII.3 Homomorphisms ofRinto ?; complex exponentials -- XII.4 The exponential function with domainC -- XII.5 The trigonometric functions cosine and sine -- XII.6 Further inverse trigonometric functions -- XII.7 The simple harmonic equation -- XII.8 Another differential equation -- XII.9 Matrices and complex numbers -- XII.10 A glance at Fourier series -- XII.11 Linear differential equations with constant coefficients -- XIII: Concerning Approximate Integration -- XIII.1 Quotes from syllabus notes -- XIII.2 Notation and preliminaries -- XIII.3 Precise formulation of statements XIII.1.1 - XIII.1.3 -- XIII.4 Some corrected versions -- XIII.5 Falsity of statements XIII.3.1 - XIII.3.3 -- XIII.6 The formulas applied to tabulated data -- XIV: Differential Coefficients -- XIV.1 The d-notation and differential coefficients -- XIV.2 The simple harmonic equation -- XV: Lengths of Curves -- XV.1 Quotes and criticisms -- XV.2 Paths -- XV.3 Lengths of paths -- XV.4 Path length as an integral -- XV.5 Ratio of arc length to chord length -- XV.6 Additivity of arc length -- XV.7 Equivalent paths; simple paths -- XV.8 Circular arcs; application to complex exponential and trigonometric functions -- XV.9 Angles and arguments -- XV.10 General remarks about curves.

بدون عنوان

0

شماره استاندارد بين المللي کتاب و موسيقي

9780387905136

عنوان

Springer eBooks

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Edwards, Robert.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301082100.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y