Sixth form pure mathematics. Volume 1 /

Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-leve...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Plumpton, C. (Charles) (Autor), Tomkys, W. A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Pergamon Press, [1968]
Edición:Second edition.
Temas:
Mathematics.
Math�ematiques.
mathematics.
applied mathematics.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Mathematics
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000 i 4500
001 SCIDIR_ocn893619283
003 OCoLC
005 20231120111822.0
006 m o d
007 cr cnu---unuuu
008 141023s1968 enk o 000 0 eng d
040 |a OPELS  |b eng  |e rda  |e pn  |c OPELS  |d N$T  |d EBLCP  |d NLGGC  |d DEBSZ  |d OCLCQ  |d YDXCP  |d MERUC  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCO 
066 |c (S 
019 |a 898771714  |a 948791916 
020 |a 9781483137193  |q (electronic bk.) 
020 |a 1483137198  |q (electronic bk.) 
020 |z 0080093744 
020 |z 9780080093741 
035 |a (OCoLC)893619283  |z (OCoLC)898771714  |z (OCoLC)948791916 
050 4 |a QA37 
072 7 |a MAT  |x 039000  |2 bisacsh 
072 7 |a MAT  |x 023000  |2 bisacsh 
072 7 |a MAT  |x 026000  |2 bisacsh 
082 0 4 |a 510  |2 23 
100 1 |a Plumpton, C.  |q (Charles),  |e author. 
245 1 0 |a Sixth form pure mathematics.  |n Volume 1 /  |c C. Plumpton and W.A. Tomkys. 
250 |a Second edition. 
264 1 |a Oxford ;  |a New York :  |b Pergamon Press,  |c [1968] 
300 |a 1 online resource (447 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
520 |a Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. 
588 0 |a Print version record. 
505 0 |a Front Cover; Sixth Form Pure Mathematics; Copyright Page; Table of Contents; PREFACE TO THE SECOND EDITION; CHAPTER 1. INTRODUCTION TO THE CALCULUS; 1.1. Coordinates and loci; 1.2. The idea of a limit; 1.3. The gradient of a curve; 1.4. Differentiation; 1.5. Tangents and normals; 1.6. Rates of change; 1.7. Differentiation of a function of a function; 1.8. Maxima and minima; 1.9. Second derivative; 1.10. Parameters; CHAPTER 2. METHODS OF COORDINATE GEOMETRY; 2.1. The straight line; 2.2. The division of a line; 2.3. The equation of a circle; 2.4. The intersection of lines and circles. 
505 8 |a 2.5. The parabola x = at2, y = 2at> a> 02.6. The rectangular hyperbola x = ct, y = c/t, c> 0; 2.7. The semi-cubical parabola x = at2, y = at3, a> 0; CHAPTER 3. METHODS OF THE CALCULUS; 3.1. Integration as the reverse of differentiation; 3.2. The constant of integration; 3.3. The area under a curve. Definite integrals; 3.4. Volumes of revolution; 3.5. Differentiation of products and quotients; 3.6. Tangents to conic sections; CHAPTER 4. THE CIRCULAR FUNCTIONS; 4.1. Definition of an angle; 4.2. The circular functions; 4.3. General solutions of trigonometric equations. 
505 8 |a 4.4. Circular functions of 30�, 60�, 45�4.5. Relations between the circular functions; 4.6. Circular measure; 4.7. Vectors; 4.8. The addition theorems; 4.9. Double and half angles; 4.10. The addition of sine waves; 4.11. The sum-product transformations; CHAPTER 5. THE CIRCULAR FUNCTIONS IN CALCULUS AND COORDINATE GEOMETRY; 5.1. The derivatives of sin x and cos x; 5.2. Integral forms; 5.3. Differentiation and integration of other circular functions; 5.4. Small increments; 5.5. The angle between two straight lines; 5.6. The sign of Ax+ By + C. 
505 8 |6 880-01  |a 7.4. The orthocentre and the altitudes7.5. The centroid and the medians; CHAPTER 8. FINITE SERIES; 8.1. Definition and notation; 8.2. Arithmetical progressions; 8.3. Geometrical progressions; 8.4. Permutations and combinations; 8.5. Mathematical induction; 8.6. The binomial theorem; 8.7. Some other finite series; 8.8. The method of differences; 8.9. Finite power series; CHAPTER 9. INFINITE SERIES. MACLAURIN'S EXPANSION. THE BINOMIAL, EXPONENTIAL AND LOGARITHM FUNCTIONS; 9.1. Successive approximations; 9.2. Maclaurin's expansion; 9.3. The binomial series; 9.4. The exponential function. 
650 0 |a Mathematics. 
650 6 |a Math�ematiques.  |0 (CaQQLa)201-0068291 
650 7 |a mathematics.  |2 aat  |0 (CStmoGRI)aat300054522 
650 7 |a applied mathematics.  |2 aat  |0 (CStmoGRI)aat300054524 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a Mathematics  |2 fast  |0 (OCoLC)fst01012163 
700 1 |a Tomkys, W. A.,  |e author. 
776 0 8 |i Print version:  |a Plumpton, C. (Charles).  |t Sixth form pure mathematics. Vol. 1.  |b Second edition  |z 0080093744  |w (OCoLC)16437777 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780080093741  |z Texto completo 
880 8 |6 505-01/(S  |a 5.7. The perpendicular form of the equation of a straight line5.8. Tangents to circles; 5.9. The ellipse x = a cos θ, y = b sin θ; CHAPTER 6. THE QUADRATIC FUNCTION AND THE QUADRATIC EQUATION; 6.1. The quadratic function ax2+bx+c; 6.2. The function; 6.3. The quadratic equation ax2+bx+c = 0; 6.4. Some applications to coordinate geometry; 6.5. The cubic function f(x) = ax3+bx2+cx+d; 6.6. Co-normal points; 6.7. The hyperbola; CHAPTER 7. NUMERICAL TRIGONOMETRY; 7.1. The solution of triangles; 7.2. Trigonometry in three dimensions; 7.3. The in-centre and e-centres of a triangle. 

Ejemplares similares