Cargando…
Calculus (Third Edition) /
Since first publication in 1954, this text has been widely used in North American universities in introductory courses in science and engineering. It is a streamlined text, in which essential ideas are not buried in endless detail.
| Autor principal: | |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Toronto] :
University of Toronto Press,
1960.
|
| Edición: | Third edition. |
| Colección: | Book collections on Project MUSE.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a22000004a 4500 | ||
|---|---|---|---|
| 001 | musev2_107886 | ||
| 003 | MdBmJHUP | ||
| 005 | 20230905054229.0 | ||
| 006 | m o d | ||
| 007 | cr||||||||nn|n | ||
| 008 | 171011s1960 onc o 00 0 eng d | ||
| 020 | |a 9781487599973 | ||
| 020 | |z 9781487592059 | ||
| 035 | |a (OCoLC)1005849085 | ||
| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Jeffery, R. L., |e author. | |
| 245 | 1 | 0 | |a Calculus (Third Edition) / |c R.L. Jeffery. |
| 250 | |a Third edition. | ||
| 264 | 1 | |a Toronto] : |b University of Toronto Press, |c 1960. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 2023 | |
| 264 | 4 | |c ©1960. | |
| 300 | |a 1 online resource (312 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Heritage | |
| 505 | 0 | |a Cover -- Contents -- PREFACE -- PREFACE TO THE THIRD EDITION -- INTRODUCTION -- 0.1 The real number system -- 0.2 Decimal representation of rational numbers -- 0.3 Decimals which are neither finite nor repeating -- 0.4 Definition of real numbers in terms of rational numbers -- 0.5 The number scale -- 0.6 The rational points are dense on 1 -- 0.7 Points on the number scale not marked with rational points -- 0.8 Real numbers and their properties -- 0.9 Assumptions and working rules -- 0.10 Functions and functional relations -- 0.11 The double use of symbols | |
| 505 | 0 | |a 0.12 The Greek alphabetI: SPEED AND LIMITS -- 1.1 The idea of speed -- 1.2 Speed at a point -- 1.3 The idea of limit -- 1.4 Properties of limits -- 1.5 Improvements in notation -- II: THE DERIVATIVE OF A FUNCTION -- 2.1 The derivative of a function -- 2.2 The derivative as the slope of the tangent line to a curve -- 2.3 The four step rule -- 2.4 The limit of a ratio when both numerator and denominator tend to zero -- III: RULES AND FORMULAS FOR DIFFERENTIATION -- 3.1 Rules for differentiation -- 3.2 Formulas for differentiation | |
| 505 | 0 | |a 3.3 Proofs of formulas for differentiation3.4 The derivative of the square root of a function -- 3.5 The derivatives of functions which are defined implicitly -- IV: DIFFERENTIALS, DIFFERENTIAL EQUATIONS AND ANTI-DIFFERENTIALS -- 4.1 Definition and geometrical interpretation of a differential -- 4.2 Relations between dy and Î#x94;y -- 4.3 Functions with vanishing derivatives -- 4.4 The fundamental theorem of the differential calculus -- 4.5 Two theorems on differentials -- 4.6 Some further applications of differentials -- 4.7 Differential relations | |
| 505 | 0 | |a 4.8 Rules for determining differentials4.9 Anti-differentials -- 4.10 Formulas for anti-differentials -- V: THE DEFINITE INTEGRAL -- 5.1 The definite integral -- 5.2 Continuous function -- 5.3 Definition of continuity -- 5.4 Maximum and minimum values of a function -- 5.5 Assumptions regarding the behaviour of continuous functions -- 5.6 Sequences of numbers -- 5.7 Notations for sums -- 5.8 Areas and volumes -- 5.9 A problem on area -- 5.10 The definition of the definite integral -- 5.11 The fundamental theorem of the integral calculus | |
| 505 | 0 | |a 5.12 The solution of the area problem of  5.9 5.13 The symbol for the definite integral -- 5.14 The double use of symbols -- 5.15 The existence of the definite integral -- 5.16 The definite integral of continuous functions -- 5.17 Abbreviated methods -- 5.18 Area as a function of the variable x and the double meaning of the symbol dA -- 5.19 The existence of the definite integral of a continuous function -- 5.20 The indefinite integral -- 5.21 The fundamental theorem of the integral calculus -- VI: THE TRANSCENDENTAL FUNCTIONS -- 6.1 Transcendental functions | |
| 520 | |a Since first publication in 1954, this text has been widely used in North American universities in introductory courses in science and engineering. It is a streamlined text, in which essential ideas are not buried in endless detail. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 7 | |a Calculus. |2 fast |0 (OCoLC)fst00844119 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a calculus. |2 aat | |
| 650 | 6 | |a Calcul infinitesimal. | |
| 650 | 0 | |a Calculus. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/107886/ |
| 945 | |a Project MUSE - Custom Collection | ||