A Textbook Of MathematicsNew Age International, 2003 - 654 pages Mathematics Today And Its Teaching Have Changed Greatly During The Last Two Or Three Decades Due To The Fast Growing Scientific And Technological Culture. A Host Of New Facts And Their Applications In Various Fields Of Science Has Been Discovered Every Year Which Has Necessitated A Much Greater Intellectual Demand In The Contemporary Teaching-Learning Process. So, Naturally, Our Learners Want A Better Development Of The Ideas And Theories In The Texts They Use. Incidentally, It Is A Point To Be Noted That The Modern Way Of Teaching Of Mathematics Is Desired To Put More Stress On Concept-Development Rather Than Solving Some Hectic Problems Mechanically. That Is Why, The Authors Have Tried Their Best To Provide Our Learners And The Teachers With This New Trend Through Their Expositions.It Is Often Said That To Learn Mathematics Means To Do Mathematics, But It Does Not Mean Doing Without Understanding. So Great Care Has Been Taken In Selecting The Problems In Illustrating Cases And Also The Practice Set.Exercises Are Put So As To Create Skills In The Learners Process. With Regards To The Methods, The Authors Have Adopted The Modern Ones So That Our Students Are Exposed To The Present Day Trend And They Do Not Feel Bewildered When They Are Admitted In Any Up-To-Date Institution.Most Of The Problems Are Taken From The Examination Question Papers Of + 2 Standard Of All Indian Schools And Boards Or Universities.Main Features Of This Book Are : * Theories Presented Lucidly * Examples Illustrated Profusely * Exercises Graded Appropriately * Dos And Donts Highlighted Systematically * Inquiry Process In Graded Examples * Examples For I It And Other Competitive Examinations |
Contents
Preface | 1 |
The rth Term of a Geometric Progression Geometric Mean | 53 |
7A Exponential and Logarithmic Series | 141 |
Theory of Quadratic Equations and Quadratic Expressions | 152 |
Equations | 185 |
Inequations and Linear Programming | 195 |
Answers | 216 |
Associative Property of Addition Commutative Property | 1 |
Variation | 3 |
Principles for Decomposition of Real Fractions Like | 34 |
Permutation and Combinations | 45 |
94 | 94 |
Common terms and phrases
A+B+C angle axes axis b₁ b₂y basic solution Binomial coefficients Binomial Theorem bisectors C₁ C₂ called centre circle x² coefficients complex numbers constant Corollary cos¹ cos² cos²A cose cosec denoted directrix distance ellipse equation ax² Example Exercise expansion Find the equation Find the value fractions given Graph hyperbola inequation intercept latus rectum linear linear programming locus mathematical induction natural numbers origin parabola y² parallel partial fractions permutations perpendicular point of contact point of intersection positive Proof prove px² quadratic equation radius real number roots sequence Show sides Similarly sin¹ sin² sin²A sine slope Solve st line passing tan¹ tangent term total number touches the circle triangle ABC trigonometric functions Trigonometrical Ratios variables vertices viii x-axis x₁ x₂ y-axis y-y₁ y₁ Z₁ Z₂