The Cosmic Calculator - 5 Volume Set

by Kenneth Williams and Mark Gaskell

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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 11-14 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 2-sided 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
Sub-Sutras

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 Non-Completion
11. Doubling and Halving
12. Divisibility
13. Short Multiplication and Division
14. Powers of Ten and Decimals
15. Number Splitting
16. Polygons and Co-ordinates
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
Sub-Sutras

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 3-Dimensional 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
Sub-Sutras

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

• Introduction

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.