The remarkable system of Vedic mathematics was created after careful study of ancient Sanskrit texts early last century. The Vedic system with its direct, easy and flexible approach forms a complete system of mental mathematics (though the methods can also be written down) and brings out the naturally coherent and unified structure of mathematics. Many of the features and techniques of this unique system are truly amazing in their efficiency and originality. Being a mental system, Vedic Mathematics encourages creativity and innovation. Mental mathematics increases mental agility, improves memory, the ability to hold ideas in the mind and promoter confidence, as well as being of great practical use. Best suited for teacher’s use in a classroom setting with guide & answers in separate volume. Written for 1114 year old pupils (some of the material in Books 1 and 2 is suitable for children from the age of about eight) this course covers the National Curriculum for England and Wales. The full course consists of three Textbooks, one Teacher's Guide and one Answer Book for all 3 volumes. THE TEXT BOOKS Each of the three books has 27 chapters each of which is prefaced by an inspiring quote from a famous mathematician, philosopher etc. Also in each book there are historical notes which relate to the authors of the quotes, a list of Sutras and three other short but interesting sections (e.g. Pascal's Triangle, Fractals). Book 1 deals mainly with basic arithmetic, proportion, decimals, basic algebra and geometry, polygons, area, volume etc. Book 2 extends this, covering fractions, probability, sequences, negative numbers, percentages, equations, graphs, charts, transformations, bearings etc. Book 3 develops this further into recurring decimals, square and cube roots, division, divisibility, the musical scale, formulae, simultaneous equations, quadratic equations, proof, similar triangles, area of a circle, nets, conic sections, loci, motion, vectors, Pythagoras' theorem, triples, coordinate geometry etc. THE TEACHER'S GUIDE Contains A Summary of the book. A copy of the Unified Field Chart for that book. Notes on the content of the chapters advice, suggestions etc. Mental Tests (correlated with the books) and answers which allow earlier work to be regularly revised, give stimulating ideas relevant to the current lesson and which develop themes from earlier tests which may ultimately become the subject of a lesson. Extension Material and answers (about 16 per book) these consist of a 1 or 2sided sheet given to children who work fast and get ahead of the rest of the class. Many of these are also very suitable for work with a whole class. Revision Tests and Answers There is a revision test every 4 or 5 chapters. This includes a mental test of 10 questions. Games, Worksheets etc. THE ANSWER BOOK This contains answers to all exercises and other numbered questions in the text and should be available for pupils during lessons. Table of Contents BOOK 1 Foreword Introduction Vedic Mathematics Sutras SubSutras 1. Arithmetic 2. Digit Sums and the Nine point Circle 3. Large Numbers 4. Digit Sum Check 5. Number Nine 6. Numbers with Shapes 7. Geometry 8. Symmetry 9. Angles and Triangles, Magic Squares 10. By the Completion or NonCompletion 11. Doubling and Halving 12. Divisibility 13. Short Multiplication and Division 14. Powers of Ten and Decimals 15. Number Splitting 16. Polygons and Coordinates 17. Regular Polygons and Perimeters 18. All From 9 and the Last From 10, Pascal’s Triangle 19. Bar Numbers 20. On the Flag 21. Prime and composite Numbers 22. Proportionately 23. By one more than the one before 24. Algebra 25. Area 26. Volume 27. Planets, Flexagons, Historical Notes BOOK 2 Foreword Introduction Vedic Mathematics Sutras SubSutras 1. Nikhilam Multiplication 2. Doubling And Halving 3. Fractions 4. Spirals 5. Fractions and Decimals 6. The Arithmetic of Bar Numbers 7. General Multiplication 8. Algebraic Multiplication 9. Squaring, The Moebius Strip 10. Sequences 11. Probability 12. Equations 13. Angles and Triangles 14. Percentages 15. Forming Equations 16. 2 And 3Dimensional Shapes 17. Straight Line Graphs 18. Charts, Fractals 19. Divisibility 20. Further Multiplication 21. Combining Fractions 22. Arithmetical Operations 23. Special Division 24. Percentage Changes 25. Transformations 26. Constructions 27. Bearings, Rangoli Patterns, Historical Notes BOOK 3 Foreword Introduction Vedic Mathematics Sutras SubSutras 1. Recurring Decimals 2. Formulae 3. Squares, Cubes and Roots 4. Straight Division 5. Equations 6. Polygons 7. Similar Figures 8. The Musical Scale 9. Nets and Networks, The Vedic Square 10. Probability 11. Pie 12. Volumes of Prisms and Pyramids 13. Parabolic Curves 14. Sequences 15. Loci 16. Motion 17. Auxiliary Fractions 18. Surveys, Codes 19. Vectors 20. Simultaneous Equations 21. Divisibility and Sample Osculators 22. Square Roots 23. Quadratic Equations 24. Pythagoras’ Theorem 25. Triples 26. Proof 27. Coordinate Geometry
The Platonic Solids Historical Notes BOOK 4  TEACHER’S GUIDE Book 1 
Unifield Field Chart  Summary of Book 1
 Notes
 Mental Tests and Answers
 Revision Tests: Mental Test and AnswersGames, Pattern Cards,
 Worksheets1, 2, and 3
Book 2  Unifield Field Chart
 Summary of Book2
 Notes on Chapters
 Mental Tests and Answers
 Extension Sheets: Summary and Answers
 Revision Tests: Mental Test and Answers
 Games
Book 3  Unifield Field Chart
 Summary of Book 3
 Notes on Chapters
 Mental Tests and Answers
 Extension Sheets: Summary and Answers
 Revision Tests: Mental Test and Answers
 Worksheets 4, 5, 6, 7, 8 and 9
BOOK 5  ANSWER BOOK  Answer to Book 1
 Answer to Book 2
 Answer to Book 3
About the Author:
Kennith Williams has taught Vedic mathematics a several colleges and schools in he UK, has been researching Vedic mathematics in e 1971 and has written fifteen books on the subject covering a wide range of topics. He has given many courses/seminars/talks around the world an has done great deal to disseminate and promote Vedic Mathematics as well as opening up many new areas of research.
