Fundamentals of Mathematics

Fundamentals of Mathematics

Author: Denny Burzynski

Publisher:

Published: 2008

Total Pages: 0

ISBN-13:

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Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.


Fundamentals of Elementary Mathematics

Fundamentals of Elementary Mathematics

Author: Merlyn J. Behr

Publisher: Elsevier

Published: 2014-05-10

Total Pages: 442

ISBN-13: 1483277798

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Fundamentals of Elementary Mathematics provides an understanding of the fundamental aspects of elementary mathematics. This book presents the relevance of the mathematical concepts, which are also demonstrated in numerous exercises. Organized into 10 chapters, this book begins with an overview of the study of logic to understand the nature of mathematics. This text then discusses mathematics as a system of structure or as a collection of substructures. Other chapters consider the four essential components in a mathematical or logical system or structure, namely, undefined terms, defined terms, postulates, and theorems. This book discusses as well several principles used in numeration systems and provides examples of some numeration systems that are in use to illustrate these principles. The final chapter deals with the classification of certain mathematical systems as groups, fields, or rings to demonstrate some abstract mathematics. This book is a valuable resource for students and teachers in elementary mathematics.


Fundamentals of Scientific Mathematics

Fundamentals of Scientific Mathematics

Author: George E. Owen

Publisher: Courier Corporation

Published: 2003-01-01

Total Pages: 308

ISBN-13: 9780486428086

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Rewarding undergraduate text, derived from an experimental program in teaching mathematics at the secondary-school level. This text provides a good introduction to geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. "...solid modern mathematical content..." — American Scientist. Over 200 figures. 1964 edition.


Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics

Author: Liping Ma

Publisher: Routledge

Published: 2010-03-26

Total Pages: 290

ISBN-13: 1135149496

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Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.


Introduction to Elementary Mathematical Logic

Introduction to Elementary Mathematical Logic

Author: Abram Aronovich Stolyar

Publisher: Courier Corporation

Published: 1984-01-01

Total Pages: 229

ISBN-13: 0486645614

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This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.


Fundamentals of Number Theory

Fundamentals of Number Theory

Author: William J. LeVeque

Publisher: Courier Corporation

Published: 2014-01-05

Total Pages: 292

ISBN-13: 0486141500

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This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given — making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes — containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols — and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.


Schaum's Outline of Review of Elementary Mathematics

Schaum's Outline of Review of Elementary Mathematics

Author: Barnett Rich

Publisher: McGraw Hill Professional

Published: 1997-03-22

Total Pages: 298

ISBN-13: 0071368876

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Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.


Elementary Mathematics for Teachers

Elementary Mathematics for Teachers

Author: Thomas H. Parker

Publisher: Ingram

Published: 2004

Total Pages: 237

ISBN-13: 9780974814001

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Textbook on numbers, arithmetic, and prealgebra for elementary school mathematics teachers. Designed to be used with five Primary Mathematics books (textbooks 3A, 4A, 5A, 6A, and workbook 5A; all U.S. ed.), part of an elementary mathematics curriculum designed by Singapore's Ministry of Education and adapted for use in the U.S.


Proofs and Fundamentals

Proofs and Fundamentals

Author: Ethan D. Bloch

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 434

ISBN-13: 1461221307

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The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.