TAILIEUCHUNG - Ebook Additional mathematics: Pure and applied (6th edition): Part 1

(BQ) In this new edition, the authors have included additional sections to make for a more comprehensive coverage of topics; more exercise and revision questions; additional/replacement examples/figures to complement the modified text. As in previous editions, the treatment is straightforward to allow rapid progress in grasping the techniques, with sufficient exercises for practice. | additional MATHEMATICS Pearson Education South Asia Pte Ltd 23 25. First Lok Yang Road. Singapore 629733 Associated companies branches and representatives throughout the world Pearson Education South Asia Pte Ltd 1990 1995 All rights reserved. No part of this publication may be reproduced stored in a retrieval system or transmitted in any form or by any means electronic mechanical photocopying recording or otherwise without the prior permission of the Copyright owner. First published 1990 Reprinted three times Sixth edition 1995 Fourteenth reprint 2007 Local ISBN 978-9-971-89657-7 Local ISBN 10 9971 -89-657-5 Overseas ISBN 978-0-582-26511 -0 Overseas ISBN 10 0-582-26511-8 Produced by Pearson Education South Asia Pte Ltd Printed in Malaysia Contents PARTI PURE MATHEMATICS 1 Coordinate Geometry_____________________________________________________ Cartesian Coordinales Midpoint of Two Points Distance between Two Points Areas of Rectilinear Figures Optional Gradient or Slope of a Straight Line angle of slope Parallel I .ines Collinear Points Perpendicular Lines Equation of a Straight Line lines parallel to the X- or y-axis Gradient-intercept Form equations of parallel and perpendicular lines Intersection of Lines Summary Revision Exercise I 2 Simultaneous Equations Summary Revision Exercise 2 33 Functions Relations and Functions Domain and Range Graphical Representation of Functions common functions and their graphs graphs of transformed functions The Modulus of a Function I XI Modular Inequalities The Inverse of a Function functions with no inverse graphical illustration of an inverse function composite functions Summary Revision Exercise 3 _4Q The Quadratic Function____________________________________77 Solving Quadratic Equations Graph of the Quadratic Function f x ax2 fox c Types of Roots of ax2 bx c 0 Maximum and Minimum Values of a Quadratic Function Sketching the Graph of a Quadratic Function Range of a Quadratic Function Quadratic Inequalities Summary R 4 .

• Toán học
• Additional mathematics
• Basic mathematics
• Mathematical theory
• Applied mathematical
• Coordinate geometry
• The quadratic function
• Ebook Additional mathematics pure
• Additional mathematics pure
• Simultaneous equations
• Binomial expansions
• Applications of differentiation
• Cubic equations
• Geometric progressions
• Logarithmic functions
• Conversion to linear form
• Further triginometry
• Advanced mathematics
• A transition to advanced mathematics
• Basic proof methods I
• Additional examples of proofs
• Basic concepts of set theory
• Cartesian products
• Eliminate additional
• one decision
• one purchase
• protected against
• automated
• event driven backups
• Quadratic functional
• Hilbert space
• Quadratic function minimization problem
• Tikhonov sense
• Wellposedness problem
• Vietnam Journal of Mechanics
• An inequality for A quadratic functional
• A quadratic functional
• The equality holds
• The corresponding function
• Doctoral Dissertation
• Doctoral Dissertation in Mathematics
• Mathematical analysis
• Quadratic programming problem
• Extended trust region subproblems
• Backtracking Search Optimization Algorithm
• Unconstrained non linear function optimization
• BSA and Quadratic approximation
• Non differentiable optimization problem
• Continuous function optimization
• Brjuno function
• subjects of mathematics
• science reports
• studied mathematics
• natural sciences
• scientific research
• 4 manifold
• Harmonic function
• Harmonic map
• Walker manifold
• Almost complex structure
• Multilevel programming
• Indefinite quadratic programming
• Fractional programming
• Quasi concave function
• Integer programming