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If you are looking for math textbooks in arithmetic, algebra, geometry, trigonometry and basic concepts of mathematics, Dr. Steven Atiyah has compiled an excellent textbook resource for use in colleges and universities.
The books are classroom tested with great success. Their titles greatly reflect their extraordinary and relevant contents.
Click on books below to order your copies now or to see additional information on each textbook!
The Author's Message
The Author's Message
What distinguishes my books from other books:
1.) The classroom notes that I used during my many years of teaching were compiled, resulting in the books that are shown below. These books are, therefore, classroom tested with an enormous rate of success among their users.
2.) They are written with an easy to read language using very familiar mathematical symbols and abbreviations.
3.) They contain ample examples and, adequate exercises. Every problem in every exercise has an answer, a hint, or a solution. All rules and basic concepts are proven.
4.) In each exercise, the number of problems is not overwhelmingly excessive. In fact, they are
limited in number so that all of them can be assigned for homework.
5.) Each problem in an exercise is carefully chosen different from the others so as to give the
reader a thorough and comprehensive understanding of the relevant theory or discussion.
6.) I have not written very easy and simple books designed to be used by substandard institutions. Very easy books are unchallenging, boring, and contribute very little (if anything) to the development of the subject. I have written useful books conducive to climbing the mathematical ladder. Every sentence in any of my books is meaningful and has substance.
7.) My books contain no unnecessary pictures or objects.
8.) They contain no color; printed only in black ink.
9.) The books are very reasonably priced. The cost of a book is for its content and not for its
pictures or color. My books are unique and cost much less than all other comparable books.
10.) A final note: I had my books published by "On Demand Publishing" for the following reason: A book published by a regular publishing company becomes the property of the company. The author gets a royalty. When and if the book is no longer a money maker, the company stops publishing it, and the book is dead. My books published by "On Demand" are mine. I can keep revising them, and improving on them until they are perfect and flawless.
They will always be available.
11.) If a course requires additional information, or topics not covered in text, please contact me and changes can be made. If you should find any errors of any kind in any of my books or, have a suggestion to improve their quality, I would be very grateful if you would share that information with me.
With my regards,
Dr. Steven K. Atiyah
Covers a wide range of geometric and algebraic concepts in simple, easy to understand language.
Essentials of Geometry
About the Book
The Essentials of Geometry , consisting of plane and solid Euclidian geometry and coordinate geometry, was developed to meet the need for a comprehensive geometry text at the university level. The contents of the book were successfully tested for several years in college classroom settings. The text was used in the classroom as a one-semester college course. It can also be used as a two-semester college course. The book was designed to be used for the instruction of college students or for the mathematical education of prospective teachers. The text can also be used as a two-semester high school course leaving the choice of topics to the instructor.
A wide choice of problems has been given in this book. The problems range in level of difficulty so that students with varied mathematical backgrounds should be able to follow and understand the material. Every problem is significant. It is recommended that all problems be attempted. Of special importance are the problems bounded by the square symbol because they can be used as theorems or postulates in the proof of other problems. Chapter 22 consists of answers, hints or solutions given to every problem in every exercise throughout the book.
The author of Essentials of Geometry has chosen the most relevant and useful information and topics in creating this text. The text is well-structured and easy to read. The title greatly reflects the content and purpose of the book .
You can order this book with an insert on "tessellations of the plane", and a brief introduction of "Non-euclidian geometry".
476 pages; quality trade paperback (soft cover); ISBN 978-0-9860393-2-4
Wholesale Price $65, Retail Price $70
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A Rutgers University mathematics professor after having reviewed this book wrote: "This is, beyond a shadow of a doubt, the best trigonometry book I have ever laid my eyes on".
An Institute for Advanced Study Professor states "It's strongest feature is that it is a real mathematics book written at a level where there are few real mathematics books. It will give a diligent student a fine foundation in algebra, geometry, and trigonometry."
A MDCC South Professor writes "In my opinion, it is the best all around - all purpose Trigonometry book I have reviewed or given any serious perusal to in at least ten years."
A Mathematics Professor at California State Univ. writes "Dr. Atiyah has written an excellent book on Trigonometry."
Plane Trigonometry
About the Book
This book has more content than many standard books on the market. It has a large selection of problems, with many interesting and challenging problems in the miscellaneous exercises. Every problem has either a hint, an answer, or a solution. The sequence of topics parallels to a great extent the chronological development of the subject of plane trigonometry. A novel approach to the
graphing of inverse functions is developed. A brief review of plane geometry is inserted at the end of the book to aid in the thorough understanding of trigonometry.
574 pages; quality trade paperback (soft cover); illustrated; ISBN 978-0-9860393-5-5
Wholesale Price Including Manual $70, Retail Price Including Manual $80
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A Survey of Arithmetic is a book that contains all the basic information that is needed to prepare you for the ensuing math courses like algebra, calculus, etc....
 A Survey of Arithmetic
About the Book
The title of this book describes very well its content. This book is a basic course that lays the groundwork for all ensuing courses of mathematics. The first three chapters deal primarily with the laws and operations of arithmetic---the laws of exponents; common fractions, decimal fractions, and percentages; the rules of divisibility 2 through 12 and beyond; finding the GCD and LCM; using the Euclidean algorithm to find the GCD of two large positive integers; finding the number of positive divisors of a given integer; determining whether a given positive integer is prime or composite, or whether it is rational or irrational; and many many other basic rules and components of arithmetic.
The theory of sets is covered in chapter 4. Also covered here is the principle of duality, the binomial expansion theorem, and a demonstration showing that a repeating decimal is a rational number.
Chapter 5 discusses the properties of the real numbers. Many rules of arithmetic which are normally accepted without challenge, are proven here.
In chapter 6, numbers are expressed in expanded form, i.e., in powers of ten, and the processes of addition, subtraction, multiplication, and division are carried out using these expanded forms to justify the process of place-value carry-over's.
Mensuration, dimensional analysis, and measurement are discussed in chapter 7. The British and metric systems are introduced, and a bridge between them is established. The meaning of accurate, and precise measurements is given; and the greatest possible error, and relative error of measurements are explained.
In chapter 8, arithmetic, geometric, and other patterns of sequences are investigated. Numbers to bases other than base ten are discussed.
Application problems in probability and consumer math are given in the last chapter. These include simple and compound interest laws; percent mark-ups and mark-downs; annuity; combination and permutation, and permutation of things where some are identical; and multistage experiments with tree diagrams.
410 pages; quality trade paperback (soft cover); ISBN 978-0-9860393-0-0
Wholesale Price $60, Retail Price $65
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The title of the book reflects very well its content. This Two Volume set is extremely useful to all those who are interested in learning mathematics well.
Fundamental Concepts of Mathematics
About the Book
This book covers quite a number of basic concepts of mathematics. It is well-structured, easy to read, and has numerous examples and adequate exercises
It consists of two volumes. Volume One consists of an introduction discussing the nature of mathematics - induction vs. deduction; the validity of an argument; the criteria for a proper definition; and a mathematical model testing completeness, consistency, and independence of a set of axioms.
The next three chapters deal primarily with arithmetic- the laws of exponents; common fractions, decimal fractions, and percentages; rules of divisibility 2 through 12 and beyond; finding the GCD and LCM; using the Euclidean algorithm to find the GCD of two large numbers; finding the number of positive divisors of a given number; determining whether a given number is prime or composite, or whether it is rational or irrational; and many other basic rules and concepts of arithmetic.
The theory of sets is covered in chapter 4. Also covered here is the principle of duality, the binomial expansion theorem, and a proof showing that a repeating decimal is a rational number.
Chapter 5 discusses and proves the properties of the real numbers.
In Chapter 6, numbers are expressed in expanded form, and the processes of addition, subtraction, multiplication, and division are demonstrated using these expanded forms to justify the process of place-value carry-over's.
Mensuration, dimensional analysis, and measurement are discussed in chapter 7. The British and metric systems are introduced, and a bridge between them is established. The meaning of accurate, and precise measurements is given; and the greatest possible error and relative error of measurements are explained.
The second volume of this book consists of detailed discussion of logic. Among the topics are quantifiers; application of logic to electric circuitry; and methods of proof. Following the chapter on logic is a chapter on relations, functions, and graphs - types of functions; algebra of functions; a practical method of graphing inverse relations; and simply, partially, and totally ordered sets are only a few examples of what was discussed. In chapter 10, patterns of sequences and other number bases are discussed - arithmetic, geometric, and other patterns of sequences are investigated.
Basic number theory proofs are discussed in chapter 11. All the rules of divisibility and what stated without proof in Volume One are proven here.
Application problems in probability and consumer math are given in the last chapter. These include simple and compound interest laws; percent markups and markdowns; annuity; combination and permutation, and permutation of things where some are identical; and multistage experiments with tree diagrams.
It is to be noted here that what has been described in Volume One and Volume Two is but a small fraction of what the manuscript actually contains.
702 pages; quality trade paperback (soft cover); ISBN 978-0-9860393-3-1
Wholesale Price per Volume $40, Retail Price per Volume $45
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Mathematical Shortcuts
About the Book
Mathematical Shorts was written with a great variety of readers in mind. It is a useful and entertaining book for the young reader and the not-so-young reader, for the mathematician and the non-mathematician; and for all those who enjoy learning different ways of doing different things.
There are three things that are relevant in this book:
1. Contrary to the common practice of naming the units digit the last digit, I have chosen the mathematically correct way instead, to name the units digit the first digit; the tens digit the second digit, the hundreds digit the third digit; etc,
2. A shortcut in mathematics is a procedure by which an operation is made shorter, or simpler considering the more difficult and lengthy alternative.
3. In addition to shortcuts, the book reveals that mathematics can be fun and interesting.
Chapter one covers the simple rules of addition and multiplication; chapter two, three and four multiplying two-digit numbers,; chapter five rules of divisibility; chapter six working with large numbers; chapter seven some algebraic shortcuts; chapter eight some number-theoretic shortcuts; chapter nine miscellaneous shortcuts. This book is filled with fun exercises and the answers.
Mathematical Shortcuts does not contain unnecessary pictures or objects, it is printed in black ink only and has a total of nine chapters and 263 pages; it is a quality trade paperback (soft cover); illustrated; order yours today!
ISBN 978-0-9860393-4-8
Wholesale Price $35, Retail Price $40
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Complete Algebra
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Complete Algebra consists of three volumes. Volumes one and two are the main text. The third volume is the solution manual, which has the answer or solution for each and every problem. The first volume may be used for the beginning and intermediate algebras. The second volume may be used along with some topics in volume one (Teacher's choices) as college algebra and pre calculus algebra.
The two volumes of Complete Algebra offer a comprehensive course of study in algebra with thirty-one chapters totaling 990 pages. Each problem has an answer, a hint, or a solution, all of which are included in a handy separate solution manual. Preceding each chapter are two biographies of extraordinary mathematicians arranged in chronological order, starting with Thales of Miletus (ca. 650 B.C.) and ending with present-day Sir Michael Francis Atiyah. In addition to many rules, remarks, and notes, there are ninety-five definitions and fifty-five theorems with full proofs, as well as a list of useful abbreviations and symbols. At the end of the book are three appendices: • A brief selection of plane and solid geometry, • Different methods of proof, • A list of trigonometric identities. This thorough and extensive textbook has been carefully structured for ease of use. The problems are challenging and create a beneficial learning experience. This three-volume set covers a variety of information and topics that are not addressed in comparable texts.
Part 1 ISBN 978-0-9860393-1-7 Wholesale Price $50, Retail Price $55
Part 2 ISBN 978-0-9860393-1-7 Wholesale Price $50, Retail Price $55
Solution Manual ISBN 978-0-9860393-1-7 Wholesale $40, Retail $40
All three, Part 1, Part 2 and Solution Manual Wholesale $110, Retail $125
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2600 Years of Mathematical History
About the Book
This book contains the biographies of 110 renowned mathematicians spanning a period of 2600 years.
ISBN 978-0-9860393-6-2
Wholesale $30, Retail $35
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Complete Algebra and Trigonometry Vol. 1 & 2
About the Book
This book consists of 3 volumes. Volume I (or Part One), is 688 pages covering 24 chapters. Chapters I – 9 may be used as Beginning Algebra; Chapters 10 – 16 as Intermediate Algebra; and Chapters 17 – 24 as College Algebra.
Volume II (or Part Two) is 527 pages covering Chapters 25 – 31, which may be used as Pre-Calculus Algebra, and Chapters 1 – 6 (in yellow paper) which may be used as Pre- CalculusTrigonometry.
The Index for the Algebra in Parts I and II covers 14 pages (991 -1005), and the Index for Trigonometry covers 3 pages (227 – 230).
The “Answers, Hints, and Solutions” for Trigonometry covers 51 pages preceding the three appendices.
Appendix I (in yellow paper) pages A1-A20 is a review of some basic facts of geometry.
Appendix II (in white paper) pages A21-A38 discusses “Methods of Proof”.
Appendix III (in yellow paper) pages A39-A61 covers Trigonometric Tables, Tables of Weights and Measures, Definition of Directed Line Segment, Linear Interpolation, and Polar Coordinates.
Volume III (or The Solution Manual) covers 402 pages. It gives the answer, solution, or hint to every problem in the algebra part of the text, i.e. in all 31 chapters.
This book is well-designed. It includes everything relevant and important in algebra and trigonometry that makes introduction to the calculus and beyond an easy journey.It is very easy to read and understand, has ample examples, and very clear explanations to all rules and facts. It is also very well-priced.
Volume 1 ISBN 978-0-986-0393-7-9 Wholesale Price $55, Retail Price $60
Volume 2 ISBN 978-0-986-0393-7-9 Wholesale Price $55, Retail Price $60
Solution Manual ISBN 978-0-986-0393-1-7 Wholesale $45, Retail $45
All three, Volume 1, Volume 2 and Solution Manual Wholesale $120, Retail $130
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About Steven K. Atiyah
Education: Dr. Steven Atiyah has a B.S. in Chemical engineering with emphasis on petroleum refining; an M.S. and beyond in theoretical and applied math; and a Ph.D. in Mathematics Education.
Experience: Two years of teaching Math in a High School setting and 55 years of teaching graduate and under-graduate math courses in a university setting.
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