How to Download PDF of Challenge and Thrill of Pre-College Mathematics
Challenge and Thrill of Pre-College Mathematics is a book by V Krishnamurthy, C R Pranesachar, K N Ranganathan and B J Venkatachala that aims to enrich the mathematical knowledge and skills of students in classes 9 to 12. The book covers topics such as number systems, arithmetic of integers, geometry, algebra, trigonometry, combinatorics, probability and number theory. It also contains more than 300 worked out problems, many of them from national and international Olympiads.
If you are interested in reading this book and want to download it as a PDF file, you have several options. Here are some of them:
You can buy the book from New Age International Publishers, the official publisher of the book. They offer both print and e-book versions of the book. The e-book version costs â 300 (about $4) and can be downloaded instantly after payment.
You can access a free preview of the book from Google Books. This preview allows you to read some pages of the book online, but not the entire book. You can also use the \"Get this book in print\" option to find other sellers of the book.
You can download a PDF file of the book from PDF Room, a website that hosts various PDF documents for free. However, this file may not be authorized by the authors or the publisher, and may violate their copyrights. Therefore, we do not recommend this option.
You can also try to find other sources of the PDF file online, such as iDoc or Archive. However, these sources may also be unreliable or illegal, and may contain viruses or malware. Therefore, we do not recommend this option either.
We hope this article has helped you find a way to download PDF of Challenge and Thrill of Pre-College Mathematics. If you have any questions or feedback, please let us know.
Challenge and Thrill of Pre-College Mathematics is not only a book for students, but also for teachers and parents who want to inspire and motivate their children to learn and enjoy mathematics. The book is written in a clear and engaging style, with many examples, diagrams and illustrations. The book also provides hints and solutions to the problems, as well as references to other books and websites for further reading.
The book is divided into 15 chapters, each covering a different topic of mathematics. The chapters are:
Number Systems: This chapter introduces the concept of number systems, such as natural numbers, integers, rational numbers, irrational numbers and real numbers. It also discusses some properties and operations of these numbers, such as divisibility, prime factorization, fractions, decimals and square roots.
Arithmetic of Integers: This chapter explores some topics related to the arithmetic of integers, such as modular arithmetic, congruences, linear Diophantine equations, Chinese remainder theorem and Fermat's little theorem.
Geometry - Straight Lines and Triangles: This chapter deals with some basic concepts and results of Euclidean geometry, such as angles, parallel lines, triangles, congruence, similarity, Pythagoras theorem and trigonometric ratios.
Geometry - Circles: This chapter focuses on some properties and theorems related to circles, such as tangents, chords, secants, cyclic quadrilaterals, power of a point and radical axis.
Quadratic Equations and Expressions: This chapter explains how to solve quadratic equations and expressions, using various methods such as factorization, completing the square, quadratic formula and Vieta's formulas. It also discusses some applications of quadratic equations and expressions in geometry and number theory.
Trigonometry: This chapter introduces some more topics in trigonometry, such as trigonometric identities, equations and inequalities, inverse trigonometric functions and solutions of triangles.
Polynomials: This chapter studies some aspects of polynomials, such as degree, coefficients, roots, remainder theorem, factor theorem and rational root theorem. It also shows how to find the roots of cubic and quartic polynomials using Cardano's formula and Ferrari's method.
Systems of Linear Equations: This chapter shows how to solve systems of linear equations using various techniques such as elimination method, substitution method, matrix method and Cramer's rule. It also discusses some applications of systems of linear equations in geometry and combinatorics.
Inequalities: This chapter explores some types and properties of inequalities, such as arithmetic mean-geometric mean inequality, Cauchy-Schwarz inequality, Chebyshev's inequality and Jensen's inequality. It also shows how to solve some problems involving inequalities using algebraic manipulation or geometric methods.
Elementary Combinatorics: This chapter introduces some basic concepts and principles of combinatorics, such as counting techniques, permutations and combinations, binomial theorem and Pascal's triangle. It also discusses some applications of combinatorics in probability and number theory.
Beginning of Probability Theory: This chapter explains some fundamentals of probability theory,
such as sample space, events, probability axioms and rules. It also covers some topics such as conditional probability,
mutually exclusive events,
and expected value.
Beginnings of Number Theory: This chapter delves into some topics related to number theory,
such as divisibility,
greatest common divisor,
least common multiple,
linear Diophantine equations,
fundamental theorem of arithmetic,
Euler's phi function,
and Wilson's theorem.
Finite Series: This chapter deals with some types and properties of finite series,
such as arithmetic progression,
and telescoping series.
It also shows how to find the sum of some special series using induction or other methods.
De Moivre's Theorem and Its Applications: This chapter introduces the concept of complex numbers
and their representation in polar form.
It also explains how to use De Moivre's theorem
to find the roots of complex numbers
and to solve some trigonometric equations.
Miscellaneous Problems: This chapter contains a collection of challenging problems
from various topics covered in the book.
The problems are arranged in increasing order of difficulty
and are meant to test the understanding and creativity of the reader.
We hope this article has given you an overview of the 061ffe29dd