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Certificate in Senior Mathematics: Arithmetic and Algebra

by Dili Okay Nwabueze

400 pages; quality trade paperback (softcover); catalogue #03-0537; ISBN 1-4120-0169-2; US$32.00, C$38.95, EUR25.40, £18.50

A powerful instructional guide for all. Reader-friendly, 20-chapter course book with over 1000 worked-through examples, 100 illustrations and more than 840 exercises (answers provided).

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about the book      about the author      Table of Contents      catalogue info

About the Book Certificate in Senior Secondary Mathematics - Arithmetic and Algebra is a well organized, accessible and in-depth course book designed to teach the fundamental aspects of elementary mathematics that are indispensable in building interest, confidence and competence in mathematical reasoning and problem solving. This reader-friendly course book is presented in a format that encourages the average student and challenges the more able student, starting with the basic aspects and progressing to the more advanced aspects of secondary level mathematics. With well over 1000 worked-through examples, more than 840 exercises (answers provided), 20 chapters and 4 appendices; numerous graphs, diagrams and tables, this comprehensive course book is a necessary text for students who desire to do well in secondary or high school mathematics. Emphasis has been laid on detailed presentation and communication through out the course book with the intention of engaging to a greater extent, the attention of the reader. From fractions, logarithms, number system to graphs, equations (literal, simultaneous, quadratic), inequalities, sets and probability, this comprehensive course book furnishes detailed theories, practice and formulae that will ultimately benefit the reader. Certificate in Senior Secondary Mathematics is a valuable course book created to tutor students studying privately to earn good grades in mathematics in certificate and matriculation examinations. Teachers and students in normal classroom studies will also find this book quite helpful.

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About the Author Dili Okay Nwabueze was born on the 30th of May 1960 at Ehime-Mbano, Imo State. He attended Methodist College, Uzuakoli between 1973 and 1978; Institute of Management and Technology, Enugu from 1978 to 1980; Anambra State University of Technology, Enugu from 1980 to 1984; University of Lagos, Akoka from 1985 to 1986 and from 1988 to 1989. He graduated B.Eng. in Mechanical Engineering and M.Sc. in Mechanical Engineering Design and completed the M.Phil. course work (with distinction) in Mechanical Engineering. He registered for the doctorate degree program in Forging Machine Tools Design at the University of Lagos, which is still on hold. In 1981 (as a second year mechanical engineering undergraduate), he was appointed a part-time lecturer for Advanced Level Mathematics (pure and applied), in the Continuing Education Department of the Institute of Management and Technology, Enugu. He founded the Society for Development of Science and Technology (SODEST) in 1981 and served as its National President from 1981 to 1984. During this period he was actively engaged in sensitizing high school students through lectures at various times and places, on the immense influence of mathematics on science and science on human development. During his National Service 1984/85, he taught mathematics at the West African Portland Cement Company's technical school at Ewekoro. Between 1986 and 1988 he served as a lecturer in the department of Mechanical Engineering, Petroleum Training Institute, Effurun until he was appointed a lecturer at the Anambra State University of Technology, Enugu. Soon after he joined the ENI Group in Nigeria (NAOC/AENR) in July 1988 as Technical Trainee. He is presently a Safety Engineer with NAOC. He has written publishable books and papers in diverse areas including but not limited to Mathematics, Mechanical Engineering, Petroleum Engineering, Petroleum Refining, Petroleum Economics, Materials Management and Fiction. Dili Okay Nwabueze is a COREN registered Engineer, a member of the Nigerian Society of Engineers, a member of the American Society of Mechanical Engineers, an associate member of the Institution of Chemical Engineers and a member of the Society of Petroleum Engineers. He is a member of the World Energy Council (Nigerian Council) and was formally the chairman of Nigerian Society of Engineers Think-Tank Committee on Petroleum Gas Management. He has been actively engaged in the advancement of the theory and practice of foundry and forging in Nigeria. He has been nominated for listing in the 7th Edition of MARQUIS Who's Who in Science and Engineering® 2003 ~ 2004. He has deep interest in the technical and economic aspects of the Metals and Energy industries in the global sense and their appropriate application for the rapid development of the Nigerian economy in particular.

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Table of Contents

I Vulgar Fractions, Decimal Fractions, HCF, LCM, Averages, Percentages
Highest Common Factor
Lowest Common Multiple
Vulgar Fractions
Decimal Fractions
Averages
Percentage
II Ratio, Rate, Proportion
Ratio
Rate
Proportion
III Logarithims
Obtaining Logarithms from tables
Anti-logarithm
Logarithm as a short method of Multiplication, Division and Extraction of Roots
Further Examples
Examples involving negative characteristics
Negative Powers
IV Simple and Compound Interest
Simple Interest
Compound Interest
Periodic Investment, repayment
Depreciation
V Mensuration
Plane Figures
Solids
VI Fundamentals of Algebra
What is Algebra
Important Concepts and Definitions
Algebraic Additions
Algebraic Multiplication
Algebraic Division
VII Number System; Scales of Counting Number System
Scales of Counting - Denary, Octal, Binary
VII Factors
Factors
Trinomial Expressions
General Trinomial Expressions
Four-Term Polynomial Factorisation
Square Factors
Cubic Factors
Factorisation of Trinomials of the form ax2 + bx + c
IX HCF, LCM and Fractions
Highest Common Factor
Lowest Common Multiple
Fractions
X Literal Equations
Literal Equations
Rearranging Formulae
XI Simultaneous Equations
Linear Simultaneous Equations
Simultaneous Equations, One Linear, One Quadratic
XII Indices and Logarithms
Indices
Standard Index Form
Identical Equations
XII Surds
Operations with Surds
Equations containing Surds
Square Roots of Surds
XIV Variation
Illustration and Definition of Variation
Direct Variation
Inverse Variation
Partial Variation
Joint Variation
XV Graphs
Straight Line Graphs
Non Straight-line Graphs - Curves
Graphical Methods of Solutions for Equations
Maximum and Minimum
Finding Mathematical Laws using Straight line Graphs
XVI Quadratic Equations
What is a Quadratic?
Roots of Quadratic Equations
Solution by Factorisation
Solutioin by Completing the Square
Theory of Quadratics
XVII Sets - An Elementary Approach
What is a Set?
Notation
Finit Sets
Infinite Sets
The Symbols
Subsets
Universal Set
Null Sets
Disjoint Sets
Venn Diagrams
Set Operations
Complement of a Set
Illustration with Venn Diagram
XVIII Relations, Functions and Remainder Theorem
Relations

Forward

Many otherwise brilliant students fail to gain admission into universities and polytechnics to study science-based and science-related courses because of their inadequate introduction to and preparation in mathematics. Others are simply mortally afraid of the subject matters in mathematics, particularly arithmetic and algebra, probably traceable to the quality of presentation and textbooks available to them at the secondary school level.

Okay Dili Nwabueze has finally come up with a textbook in mathematics (arithmetic and algebra) written in simple, clear language and readily made available to anyone with a modicum of interest in mathematics, eliminating and dispelling the fears, which the subject of mathematics evokes in many.

The book, Certificate in Senior secondary Mathematics: Arithmetic and Algebra is meticulously organised and presented in a form that teaches both the fundamentals as well as the more advanced topics of the two important areas of elementary mathematics. The purpose of this book is to provide a structured approach in numerical and analytical skills for secondary or high school certificate year students. The book is very comprehensive and covers a wide range of topics in algebra and arithmetic. These topics are carefully and objectively treated in a way that demonstrates the author's deep understanding of not only the subjects but also the difficulties many students have in grasping mathematical theories, which invariably lead to their fear of mathematics. With this book anyone can cheerfully go through the numerous worked examples and exercises presented. The presentation is lucid and leaves no room for confusion or misunderstanding.

The methodical treatment of fractions, factors, quadratic equations, averages, inequalities and logarithms enables the capable student to appreciate the logical presentation of each of these topics. He reinforces their understanding with numerous worked examples, which practically teach such students the application of theories, and formulae they have been exposed to. Certificate in Senior Secondary Mathematics: Arithmetic and algebra is designed to allow the reader sufficient involvement in mathematical reasoning, convenient work rate, comprehension assessment of sections under study and to simulate interest in mathematics.

Okay Dili Nwabueze has included graphical illustrations, diagrams and tables with the aid of which he systematically tutors the student in mathematics. All these features and the carefully selected numerous exercises combine to provide the student with an excellent textbook in algebra and arithmetic.

Certificate in Senior Secondary Mathematics: Arithmetic and Algebra is therefore commended to all secondary or high school students who need sufficient understanding of mathematics to be admitted into and succeed in college programmes.

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Catalogue Information

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