Arihant NDA/NA Mathematics Books PDF.

Arihant NDA/NA Mathematics Books PDF- Today in this post I have brought for you the most important Arihant Publication Book PDF for the NDA exam if you are preparing for the NDA exam and searching for this book then this book is very important for you because NDA  maths book covers important topics And this book will help you to succeed in the exam because NDA exam is not easy, proper scholarship planning is necessary to succeed in the exam and if you want to succeed in the exam then download Arihant book which is You can download this book for free through this post.

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Main Topics In Arihant NDA/NA Mathematics Book

1 Sets, Relations, and Functions

2 Complex Numbers

3 Quadratic Equations and Inequalities

4 Sequence and Series

5 Logarithms

6 Matrices

7 Determinant

8 Binomial Theorem

9 Permutations and Combinations

10 Probability

11 Binary Numbers

12 Trigonometric Ratios and Equations

13 Properties of Triangles

14 Height and Distance

15 Inverse Trigonometric Functions

16 Functions

17 Limits, Continuity, and Differentiability

18 Differentiation

19 Application of Derivative

20 Indefinite Integration

21 Definite Integration

22 Area Bounded by Region

23 Differential Equations

24 Rectangular Cartesian System

25 The Straight Line

26 The Circle

27 Conic Sections

28 Vector Algebra

29 Three Dimensional Geometry

30 Statistics

31 Correlation and Regression

Arihant NDA/NA Mathematics Book Syllabus 

Algebra– Concept of a set, operations on sets, Venn diagrams. De-Morgan laws. Cartesian product, relation, equivalence relation.Representation of real numbers on a line. Complex numbers – basic properties, modulus, argument, cube roots of unity.

Matrices and Determinants – Types of matrices, operations on matrices Determinants of a matrix, basic properties of determinant. Adjoint and inverse of a square matrix, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.

Trigonometry- Angles and their measures in degrees and in radians. Trigonometrical ratios.Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications – Height and distance, properties of triangles.

Analytical Geometry of Two and Three Dimensions – Rectangular Cartesian Coordinate System. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic.

Differential Calculus-  Concept of a real-valued function – domain, range, and graph of a function. Composite functions, one-to-one, onto, and inverse functions. The notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications.
Derivatives of sum, product, and quotient of functions, the derivative of a function with respect to another function, derivative of a composite function.

Integral Calculus and Differential Equations-  Integration as inverse of differentiation, Integration by substitution and by parts, Standard integrals involving algebraic expressions, trigonometric, exponential, and hyperbolic functions. Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications. Definition of order and degree of a differential equation,
formation of a differential equation by examples. A general and particular solution of a differential equation, solution of the first order, and first-degree differential equations of various types – examples. Application in problems of growth and decay.

Vector Algebra-  Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and vectors, addition of vectors, scalar multiplication of vector, scalar product or dot product of two vectors. Vector product and cross product of two vectors. Applications are done by a force and moment of a force and in geometrical problems.
Statistics and Probability – Statistics: Classification of data, Frequency distribution, Cumulative frequency distribution – examples Graphical representation – Histogram, Pie Chart, Frequency Polygon – examples. Measures of Central tendency – Mean, Median, and Mode. Variance and standard deviation – determination and comparison. Correlation and regression.
Probability-  Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary, and composite events. Definition of probability – classical and statistical – examples. Elementary theorems on probability – simple problems. Conditional probability, Bayes’ theorem – simple problems. Random variable as function on a sample space.

Useful Books for  NDA Competitive Exams

Arihant NDA/NA Mathematics Book PDF

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