General Mathematics: Revision and Practice

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Dunne, Edward; Hulek, Klaus (March 2020). "Mathematics Subject Classification 2020" (PDF). Notices of the American Mathematical Society. 67 (3). Archived (PDF) from the original on November 20, 2022 . Retrieved November 4, 2022. Numerical analysis, mainly devoted to the computation on computers of solutions of ordinary and partial differential equations that arise in many applications. Denny Burzynski is a mathematics professor at College of Southern Nevada located in Las Vegas, Nevada. Perisho, Margaret W. (Spring 1965). "The Etymology of Mathematical Terms". Pi Mu Epsilon Journal. 4 (2): 62–66. JSTOR 24338341.

The sections of the text were presented in such a way that they could be integrated into other classes as appropriate without relying on the entire book. Three recent classes I have taught included some of the topics from the text - some topics in more than one of the classes, and some in only one of the classes. The explanations, examples, practice problems and homework problems from each of the appropriate sections could be integrated into the appropriate class without having to rely on the entire text. Some of them would benefit from the processes described in earlier sections, but that could easily be done using only the necessary concepts of the earlier sections.Operations research is the study and use of mathematical models, statistics, and algorithms to aid in decision-making, typically with the goal of improving or optimizing the performance of real-world systems. Perhaps the foremost mathematician of the 19th century was the German mathematician Carl Gauss, who made numerous contributions to fields such as algebra, analysis, differential geometry, matrix theory, number theory, and statistics. [90] In the early 20th century, Kurt Gödel transformed mathematics by publishing his incompleteness theorems, which show in part that any consistent axiomatic system—if powerful enough to describe arithmetic—will contain true propositions that cannot be proved. [60] Before the Renaissance, mathematics was divided into two main areas: arithmetic, regarding the manipulation of numbers, and geometry, regarding the study of shapes. [18] Some types of pseudoscience, such as numerology and astrology, were not then clearly distinguished from mathematics. [19] Weil, André (2007). Number Theory, An Approach Through History From Hammurapi to Legendre. Birkhäuser Boston. pp.1–3. ISBN 978-0-8176-4571-7 . Retrieved March 19, 2023. I appreciated the consistency of the book since I have not seen that in some of the recent textbooks I have used. The processes taught early in the book were consistently used in later concepts, reinforcing the logic behind the method and building foundations for potential use in later applications and classes.

There is not really anything to comment on. In looking at the real life applications of the math concepts in every section, I do not find anything to be culturally offensive. The examples seem quite simplistic and neutral to me. Perhaps if the author could add more interesting or imaginative ways to demonstrate the real life applications of the concepts, this would be the way to add more cultural diversity. Drills/Exercises presented were accurate and showed step-by step process which is advantageous for students/readers.

I like how they introduced algebra in the first chapter of addition and subtraction of whole numbers. However they put in some problems of probability and determining the mean of a number without any explanation of these concepts. Mathematics has developed a rich terminology covering a broad range of fields that study the properties of various abstract, idealized objects and how they interact. It is based on rigorous definitions that provide a standard foundation for communication. An axiom or postulate is a mathematical statement that is taken to be true without need of proof. If a mathematical statement has yet to be proven (or disproven), it is termed a conjecture. Through a series of rigorous arguments employing deductive reasoning, a statement that is proven to be true becomes a theorem. A specialized theorem that is mainly used to prove another theorem is called a lemma. A proven instance that forms part of a more general finding is termed a corollary. [96]