We are glad to present before you this book on Vedic Mathematics. This book is written to fulfil the requirement of the students of B.Sc./B.E./B.Tech./Other Competitive Examinations.
This book is in the form of a commentary on some topics of Vedic Mathematics which are covered in the syllabus. All the topics are explained with examples. All Indian Mathematicians always think about eight operations of arithmetic Addition, Subtraction, Multiplication, Division, Square, Square-root, Cube and Cube-root. Other than these topics LCM, GCD and Division Algorithm are covered.
There are many topics in book of Vedic Mathematics which are not covered in this book. Interested students and faculties may go through it. Some topic which are not covered are Recurring Decimals, Partial fractions, Divisibility of even divisors, Co-ordinate Geometry, Determinants, Differential Calculus etc.
In the contribution of Indian Mathematicians in Arithmetic we have covered a few mathematicians Śulbasūtras, Bakhṣhāli Manuscript, Āryabhata – I, Brahmagupta, Mahāvīrāchārya, Bhāskarācārya II, Kerala School of Mathematics and Srinivasa Ramanujan. It is expected that students must try to find the contribution of other Indian Mathematicians.
This is not the complete book on the Vedic Mathematics. This book will surely increase the interest of students in mathematics. A new approach of solving lengthy, tedious and time consuming problems of Arithmetic with simple methods in Vedic Mathematics will be highly useful for aspirant students appearing for competitive Examination.
Contents –
Indian Knowledge System (IKS) VEDIC MATHEMATICS
CHAPTER 1 ADDITION – SUBTRACTION, MULTIPLICATION, VINCULUM-OPERATIONS
1.1 Addition – Subtraction – Combined operations
1.2 Beejank
1.3 Vinculum Number
1.4 Subtraction
1.5 Multiplication
1.6 Combined Operations of Addition and Multiplication
1.7 Sūtras and their Meaning
CHAPTER 2 Division, GCD and LCM
2.1 Introduction
2.2 Division by Nikhilam Method (for one, two, three digit divisor)
2.3 Paravartya Yojayet (when divisor is greater than base)
2.4 Dhwajank (One digit divisor-usual division)
2.5 Flag Digit Division Method or Straight Division
2.6 Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
2.7 Division Algorithm
CHAPTER 3 DIVISIBILIY TEST AND OSCULATION
3.1 Introduction
3.2 Osculators and Osculation process
3.3 Reverse Osculation
CHAPTER 4 SQUARE, SQUARE ROOT, CUBE, CUBE-ROOT
4.1 Duplex of Dwandwa Yoga
4.2 Square of a number by duplex method
4.3 Square roots of a number
4.4 Cube and Cube Root
4.5 Cube of a Number Near the Base
4.6 Cube Root of a Perfect Cube Number by Vilokanam (Observation)
CHAPTER 5 CONTRIBUTION OF INDIAN MATHEMATICIANS IN ARITHMETIC
5.1 Śulbasūtras
5.2 Bakhṣhāli Manuscript
5.3 Āryabhata – I
5.4 Brahmagupta
5.5 Mahāvīrāchārya
5.6 Bhāskārācārya II
5.7 Kerala School Mathematics
5.8 Srinivasa Ramanujan
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