Golden Mathematics (v. X)

Hari Kishan

New Age Publications (Academic),India

Golden Workbook Mathematics for Class - IX

New Age International Private Limited

1. Antiderivatives 2. Integration by Substitution Method 3. Integration by Parts 4. Integration by Trigonometrical Substitutions 5. Integration of Hyperbolic Functions 6. Integration of Rational Functions 7. Integration of Irrational Functions 8. Integration by Partial Fractions 9. Integration of Transcendental Functions 10. Definite Integrals 11. Reduction Formulae 12. Beta and Gamma Functions 13. Determination of Areas (Quadrature) 14. Determination of Lengths (Rectification) 15. Determination of Volumes and Surfaces of Solids of Revolution 16. Integration of Functions of Two and Three Variables 17. Change of Order of Integration

Integral Calculus

Science & Math

Mathematics

Atlantic

Trigonometry

Sure Success in Convergence

Atlantic Publishers and Distributors (P) Ltd.

The present book Differential Equations provides a detailed account of the equations of First Order and the First Degree, Singular Solutions and Orthogonal Trajectories, Linear Differential Equations with Constant Coefficients and other miscellaneous Differential Equations. It is primarily designed for B.Sc and B.A. Courses, elucidating all the fundamental concepts in a manner that leaves no scope for illusion or confusion. The numerous high-graded solved examples provided in the book have been mainly taken from the authoritative textbooks and question papers of various university and competitive examinations which will facilitate easy understanding of the various skills necessary in solving the problems. In addition, these examples will acquaint the readers with the type of questions usually set at the examinations. Furthermore, practice exercises of multiple varieties have also been given, believing that they will help in quick revision and in gaining confidence in the understanding of the subject. Answers to these questions have been verified thoroughly. It is hoped that a thorough study of this book would enable the students of Mathematics to secure high marks in the examinations. Besides students, the teachers of the subject would also find it useful in elucidating concepts to the students by following a number of possible tracks suggested in the book.

Differential Equations

Atlantic Publishers & Distributors (P) Ltd.

The present book Coordinate Geometry of Two Dimensions aims at providing the students with a detailed study of Polar Coordinates, Polar Equations of a Straight Line and a Circle, Polar Equations of Conics, General Equation of Second Degree and System of Conics -- the topics included in the UGC syllabus. Primarily meant for students of B.Sc./B.A. of several Indian Universities, the book exactly covers the prescribed syllabus. It neither includes the irrelevant nor escapes the essential topics. Its approach is explanatory, lucid and comprehensive. The analytic explanation of the subject matter is very systematic which would enable the students to assess and thereby solve the related problems easily. Sufficient number of high-graded solved examples provided in the book facilitate better understanding of the various skills necessary in solving the problems. In addition, practice exercises of multiple varieties will undoubtedly prove helpful in quick revision of the subject. The figures and also the answers provided in the book are accurate and verified thoroughly. A proper study of the book will definitely bring to students a brilliant success. Even teachers will find it useful in elucidating the subject to the students of Mathematics.

Coordinate Geometry of Two Dimensions

Atlantic Publishers & Distribu

1. Differential Equations of the First Order and the First Degree; Definitions; Arbitrary Constants; Equations of the First Order and First Degree; Equations in which the Variables are Separable; Homogeneous Function; A Test for Homogeneity of a Function of X and Y; Homogenous Equations; Equations Reducible to a Homogeneous Form; Linear Differential Equations; Equations Reducible to Linear Form; Exact Differential Equations; Condition That an Equation of First Order and First Degree be Exact; Solution of an Exact Differential Equation; Integrating Factor; Integrating Factor by Inspection; Rules for Finding Out Integrating Factors; Change of Variables; 2. Different Equations of the First Order, but Not of the First Degree; Types of Such Equations; Equations Solvable for p ; Equations Solvable for Y; Equations Solvable for X; Clairaut's Equation; 3. Singular Solutions and Orthogonal Trajectories; Singular Solution; Determination of Singular Solution; Particular Case; Trajectories; Orthogonal Trajectory; Differential Equation of Orthogonal Trajectories; 4. Linear Differential Equations with Constant Coefficients; Definition; Theorem 1; Theorem 2; Theorem 3; Complementary Function; The Symbol D ; Auxiliary Equation having Equal Roots; Auxiliary Equation having Imaginary Roots; The Particular Integral; Shorter Methods of Finding Particular Integrals in Certain Special Cases; 5. Miscellaneous Differential Equations; Homogeneous Linear Equations; Equations Reducible to Homogeneous Linear Form; Simultaneous Linear Differential Equations with Constant Coefficients

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