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Adventures in Mathematics by
Though elementary in nature, this book deals with fundamental issues in mathematics — number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school students and for college students interested in elementary mathematics from a higher standpoint. It will also be very useful to high school teachers seeking an overview of their subject matter.Contents:What is a Number?: The Positive IntegersThe IntegersThe Rational NumbersThe Real NumbersThe Integers RevisitedThe Complex NumbersPolynomials and Other Analogues of the IntegersThe Algebra on a DialGroups, Finite Fields and Linear Algebra:Introduction to Groups and Their ActionsApplications to Finite Fields and the Theory of NumbersLinear AlgebraTwo- and Three-Dimensional Geometry and Topology:The Euclidean CaseElliptic and Hyperbolic GeometrySome Two- and Three-Dimensional TopologyReadership: High school and college teachers and students; college pre-calculus teachers and students; general readers with an interest in mathematics but a limited background.
CliffsStudySolver Basic Math and Pre-Algebra by
Mathematics topics encountered prior to Algebra, including whole numbers, decimals, fractions, percents, exponents, and roots.
Connections by
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
Elementary Euclidean Geometry by
This book, first published in 2004, is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Lines and circles provide the starting point, with the classical invariants of general conics introduced at an early stage, yielding a broad subdivision into types, a prelude to the congruence classification. A recurring theme is the way in which lines intersect conics. From single lines one proceeds to parallel pencils, leading to midpoint loci, axes and asymptotic directions. Likewise, intersections with general pencils of lines lead to the central concepts of tangent, normal, pole and polar. The treatment is example based and self contained, assuming only a basic grounding in linear algebra. With numerous illustrations and several hundred worked examples and exercises, this book is ideal for use with undergraduate courses in mathematics, or for postgraduates in the engineering and physical sciences.
Topics in Finite and Discrete Mathematics by
Written for a broad audience of students in mathematics, computer science, operations research, statistics, and engineering, this textbook presents a short, lively survey of several fascinating non-calculus topics in modern applied mathematics. Coverage includes probability, mathematical finance, graphs, linear programming, statistics, computer science algorithms, and groups. A key feature is the abundance of interesting examples not normally found in standard finite mathematics courses, such as options pricing and arbitrage, tournaments, and counting formulas. The author assumes a level of mathematical sophistication at the beginning calculus level, that is, students should have had at least a course in pre-calculus, and the added sophistication attained from studying calculus would be useful.
Everyday Probability and Statistics by
Probability and statistics impinge on the life of the average person in a variety of ways — as is suggested by the title of this book. Very often information is provided that is factually accurate but intended to give a biased view. This book presents the important results of probability and statistics without making heavy mathematical demands on the reader. It should enable an intelligent reader to properly assess statistical information and to understand that the same information can be presented in different ways.In this second edition the author presents a new chapter exploring science and society including the way that scientists communicate with the public on current topics, such as global warming. The book also investigates pensions and pension policy, and how they are influenced by changing actuarial tables.