Research Guides: MATH 1001: Quantative Skills and Reasoning: Course Tools: Books, E-books and Articles

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Mathematics, falls under the general subject heading of Science. The field of Mathematics encompasses many specific subject headings that cover specific types of math and other aspects of the field.

The Library of Congress Classification system locates books on the library under the general call numbers listed below. The subject headings that appear below in bold may also be used to locate books in the library catalog as well as articles and other information in GALILEO. More specific subject headings may be useful depending on what topic you are researching.

QA1-145: Mathematics (General). Elementary mathematics. Arithmetic

QA8: Mathematics - Philosophy
QA9-10: Mathematical logic
QA11-20: Mathematics - Study and teaching
QA21-30: Mathematics - History
QA75.5-76.95: Computer science
QA95: Mathematical recreations
QA101-145: Elementary mathematics. Arithmetic

QA150-272.5 Algebra

QA162: Abstract algebra
QA164-167.2: Combinatorics (including Graph theory)
QA169: Homological algebra
QA174-183: Group theory
QA184-205: Linear and multilinear algebras. Matrices
QA211-218: Theory of equations
QA221-224: Approximation theory
QA241-247.5: Number theory
QA267-268.5: Machine theory. Abstract machines. Abstract automata

QA273-299.4 Probabilities. Mathematical statistics. Numerical analysis

QA273: Probabilities
QA274: Stochastic processes
QA276-280: Mathematical statistics
QA297-299.4: Numerical analysis

QA299.6-433 Analysis

QA303-316: Calculus
QA319-329: Functional analysis
QA331-355: Theory of functions
QA370-380: Differential equations
QA401-425: Analytical methods used in the solution of physical problems (including Mathematical optimization)

QA440-699 Geometry. Trigonometry. Topology

QA451-469: Elementary geometry
QA471: Projective geometry
QA501-521: Descriptive geometry
QA531-538: Trigonometry
QA551-563: Analytic geometry
QA564-609: Algebraic geometry
QA611-614 Topology (including Manifolds and cell complexes)
QA615-639: Infinitesimal geometry
QA641-670: Differential geometry

QA801-939 Analytic mechanics

QA821-835: Statics
QA841-842: Kinematics
QA843-871: Dynamics
QA901-930: Fluid mechanics
QA931-939: Elasticity. Plasticity

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Books in CCGA Library Collection

Inside Your Calculator by Gerald R. Rising
Call Number: QA75 .R57 2007 (Main Campus Library)

ISBN: 0470114010

Publication Date: 2007-07-16

Uncover the mysteries that lie within your calculator. This remarkable book explores the simple internal calculator processes algorithms and programs that tell us, for example, that the cosine of 56? is 0.5591929035. Using carefully constructed diagrams and figures, the author effectively demonstrates how calculator keys compute powers, roots, logarithms, and trigonometry functions, while also providing insights into simple programming, the conversion between decimal and binary numeration, and perhaps most importantly, the structure of our numeration systems. Many people believe that the processes that drive calculators demand advanced mathematical concepts; however, this book proves that a minimal understanding of algebra and geometry is all that is needed to follow the step-by-step explanations of how scientific calculators work. Inside Your Calculator: From Simple Programs to Significant Insights is a complete and multifaceted exercise in critical thinking. This book features a detailed explanation of how to use a graphics calculator and program basic functions. Also a discussion of the history of mathematics when appropriate, which provides a foundation for further learning.

Winning at Math by Paul D. Nolting
Call Number: QA11.N583 1997 (Camden Center Library-Circulation Desk)

ISBN: 094028734X

Publication Date: 1997-06-01

How to Read and Do Proofs by Daniel Solow
Call Number: QA9 .S577 1982 (Main Campus Library)

ISBN: 9780471866459

Publication Date: 1982-03-01

Using and Interpreting Statistics by Eric W. Corty
Call Number: QA276.12 .C675 2007 (Main Campus Library)

ISBN: 9780323035934

Publication Date: 2006-10-03

Using and Interpreting Statistics is a uniquely engaging and easy-to-understand introductory statistics text for the health, behavioral, and social sciences, as well as general statistics courses. Written by an award-winning master teacher, this full-color text - the only full-color statistics text on the market - covers all the essential topics needed for a first course in statistics. It uses a variety of memorable examples not only from the health, behavioral, and social sciences, but also from everyday life to help drive home important topics and help students apply the material to their course of study. In addition, a unique collection of research-based learning aids promotes in-depth learning. Features include Chapter Roadmaps, Group Practice Exercises, Review Exercises and Homework Problems, and a unique "Tom and Harry" mnemonic that helps students "routinize" statistical decision-making. UNIQUE! The book's engaging writing style and unique "personality" make the study of statistics not only understandable but enjoyable. UNIQUE! Printed in full color, with approximately 120 illustrations. UNIQUE! Examples from nursing, health sciences, behavioral sciences, social sciences, and everyday life help students in a variety of programs understand and apply key concepts. UNIQUE! Group Practice Exercises are included throughout the chapters, and Review Exercises and Homework Problems appear at the end of each chapter. Answers to Review Exercises are included at the end of the text, and answers to Homework Problems and Group Practice Exercises are provided for faculty. UNIQUE! Incorporates research-based learning principles to promote deeper processing of material and long-term learning. UNIQUE! Engaging Looking Closer footnotes provide additional information of interest and offer a welcome diversion during study sessions. UNIQUE! A recurring "Tom and Harry" mnemonic - "Tom And Harry Despise Crabby Infants" - reminds students of the process involved in a statistical analysis: Test, Assumptions, Hypothesis, Decision rule, Calculations, Interpretation.

A Concise Introduction to Mathematical Logic by Wolfgang Rautenberg
Call Number: QA9 .R26513 2006 (Main Campus Library)

ISBN: 0387302948

Publication Date: 2006-03-01

Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several well-known textbooks on mathematical logic, this book is unique in that it is much more concise than most others, and the material is treated in a streamlined fashion which allows the professor to cover many important topics in a one semester course. Although the book is intended for use as a graduate text, the first three chapters could be understood by undergraduates interested in mathematical logic. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. This material is of a descriptive nature, providing a view towards decision problems, automated theorem proving, non-standard models and other subjects. scientists, model theory, recursion theory, Godel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text. The author has provided exercises for each chapter, as well as hints to selected exercises. The German edition can be useful to the student and lecturer, who prepares a mathematical logic course at the university. What a pity that the book is not written in a universal scientific language which mankind has not yet created - A.Nabebin, Zentralblatt.

Statistics with Common Sense by David Kault
Call Number: QA276.12 .K38 2003 (Main Campus and Camden Center Libraries)

ISBN: 0313322090

Publication Date: 2003-04-30

Applying statistical results to real life situations can be difficult or futile if you can't be certain what the results actually mean. This reference guide provides readers with the frequently elusive link between statistical results and practical applications. Students will learn the basic concepts and principles of statistics and probability, without getting bogged down in complicated theories and abstractions. Many statistics texts rely too heavily on mathematical formulas. Kault restores the emphasis to understanding statistical results and using common sense in decision making. Everyday examples bring the concepts to life. In the entry on hypothesis testing, Kault examines how a statistical result incorrectly overruled the common sense of many doctors. A chapter on random variables shows the chance that students will carry cell phones, and a chapter on categorical measurements uses statistics to determine the efficiency of a new treatment for a serious disease. Each chapter ends with questions that will help students further understand important concepts. Useful on its own and perfect as a means of expanding classroom discussions, this book is ideal for high school students or anyone needing to review the basics of statistics.

E-books in CCGA Library Collection (Off-campus access requires current GALILEO password)

Nonsense on Stilts by Massimo Pigliucci
Call Number: E-book available through CCGA library

ISBN: 9780226667850

Publication Date: 2010-05-15

Recent polls suggest that fewer than 40 percent of Americans believe in Darwin’s theory of evolution, despite it being one of science’s best-established findings. More and more parents are refusing to vaccinate their children for fear it causes autism, though this link can been consistently disproved. And about 40 percent of Americans believe that the threat of global warming is exaggerated, despite near consensus in the scientific community that manmade climate change is real. Why do people believe bunk? And what causes them to embrace such pseudoscientific beliefs and practices? Noted skeptic Massimo Pigliucci sets out to separate the fact from the fantasy in this entertaining exploration of the nature of science, the borderlands of fringe science, and—borrowing a famous phrase from philosopher Jeremy Bentham—the nonsense on stilts. Presenting case studies on a number of controversial topics, Pigliucci cuts through the ambiguity surrounding science to look more closely at how science is conducted, how it is disseminated, how it is interpreted, and what it means to our society. The result is in many ways a “taxonomy of bunk” that explores the intersection of science and culture at large. No one—not the public intellectuals in the culture wars between defenders and detractors of science nor the believers of pseudoscience themselves—is spared Pigliucci’s incisive analysis. In the end, Nonsense on Stilts is a timely reminder of the need to maintain a line between expertise and assumption. Broad in scope and implication, it is also ultimately a captivating guide for the intelligent citizen who wishes to make up her own mind while navigating the perilous debates that will affect the future of our planet.

The Personal Finance Calculator by Esme Faerber
Call Number: E-book available through CCGA Library

ISBN: 9780071393904

Publication Date: 2003-04-01

Today's most clear-cut guide for understanding and making everyday financial decisions Is it better to buy or lease a car? How does one calculate an investment return? For that matter, what exactly is an investment return? The Personal Finance Calculator provides noncomplex tools and calculations for assessing current personal wealth, determining how much debt is too much debt, understanding credit card interest rates, and more. Written by Esme Faerber, a McGraw-Hill author renowned for simplifying complex finance topics and explaining their use, this clear, concise book explains simple steps for getting one's financial life in order and saving money over both the short and long term. Readers will learn how to: Keep investment costs from undercutting overall returns Use the popular "Rule of 72" to estimate investment growth Determine how much money they will need for retirement

100% Mathematical Proof by Rowan Garnier; John Taylor
Call Number: E-Book available through CCGA Linrary

ISBN: 9780471961987

Publication Date: 1996-08-01

"Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."

Logic Primer by Colin Allen; Michael Hand
Call Number: E-book available through CCGA Library

ISBN: 0262511266

Publication Date: 2001-01-16

Logic Primer presents a rigorous introduction to natural deduction systems of sentential and first-order logic. The text is designed to foster the student-instructor relationship. The key concepts are laid out in concise definitions and comments, with the expectation that the instructor will elaborate upon them. New to the second edition is the addition of material on the logic of identity in chapters 3 and 4. An innovative interactive Web site, consisting of a "Logic Daemon" and a "Quizmaster," encourages students to formulate their own proofs and links them to appropriate explanations in the book.

Organize Your Personal Finances in No Time by Debbie Stanley
Call Number: E-book available through CCGA Library

ISBN: 9780789731791

Publication Date: 2004-08-12

Written by a professional organizer and coach for the chronically disorganized, this do-it-yourself guide shows you how to create a fool-proof, easy-to-maintain financial system in a single day. It helps you master skills such as tracking income and expenses, bill paying, creating a file system and shopping with efficiency.