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Fundamental Concepts of Mathematics

Author : R. L. Goodstein

Publisher : Elsevier

Page : 334 pages

File Size : 41,83 MB

Release : 2014-07-14

Category : Mathematics

ISBN : 148315405X

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Book Description

Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.



Basic Concepts in Modern Mathematics

Author : John Edward Hafstrom

Publisher : Courier Corporation

Page : 209 pages

File Size : 31,60 MB

Release : 2013-01-01

Category : Mathematics

ISBN : 0486497291

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Book Description

An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.



Key Concepts in Mathematics

Author : Timothy J. McNamara

Publisher : Corwin Press

Page : 265 pages

File Size : 34,70 MB

Release : 2007

Category : Education

ISBN : 1412938422

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Book Description

"Includes a large number of user-friendly examples that integrate mathematics content and process standards. The step-by-step guidance and explanations in each chapter are beneficial."-Melissa Miller, TeacherRandall G. Lynch Middle School, Farmington, AR "Great activities that are exploratory in nature. A valuable resource."-Carol Amos, Teacher Leader and Mathematics CoordinatorTwinfield Union School, Plainfield, VT Increase students' mathematics achievement with rich problem-solving lessons and activities that are aligned with NCTM standards! Helping teachers envision how math standards can be integrated into the secondary classroom, Key Concepts in Mathematics, Second Edition presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM standards, with many activities that address multiple standards, and numerous practical suggestions for extending the lessons beyond the curriculum. In addition, this updated resource combines standards-based mathematics and technology by incorporating TI-73 Explorer(tm) and TI-83 Plus graphing calculator applications and programs. Each chapter offers: Ready-to-use lessons, hands-on activities, practical suggestions, and an abundance of "good problems" Suggestions for integrating multiple topics and concepts in each lesson Strategies to strengthen student engagement, understanding, and retention by building connections among mathematics topics This exciting guide delivers exactly what is needed for today's standards-based math classroom!



Concepts of Modern Mathematics

Author : Ian Stewart

Publisher : Courier Corporation

Page : 367 pages

File Size : 40,18 MB

Release : 2012-05-23

Category : Mathematics

ISBN : 0486134954

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Book Description

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.



Basic Concepts of Mathematics

Author : Elias Zakon

Publisher : The Trillia Group

Page : 208 pages

File Size : 13,99 MB

Release : 2001

Category : Mathematics

ISBN : 1931705003

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Book Description



Mathematical Concepts

Author : Jürgen Jost

Publisher : Springer

Page : 315 pages

File Size : 10,51 MB

Release : 2015-09-10

Category : Mathematics

ISBN : 331920436X

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Book Description

The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.



Fundamental Concepts of Algebra

Author : Bruce Elwyn Meserve

Publisher : Courier Corporation

Page : 324 pages

File Size : 25,17 MB

Release : 1982-01-01

Category : Mathematics

ISBN : 9780486614700

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Book Description

Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.



Fundamentals of Mathematics

Author : Denny Burzynski

Publisher :

Page : 0 pages

File Size : 28,70 MB

Release : 2008

Category : Mathematics

ISBN :

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Book Description

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.



Fundamental Concepts of Geometry

Author : Bruce E. Meserve

Publisher : Courier Corporation

Page : 340 pages

File Size : 20,68 MB

Release : 2014-12-08

Category : Mathematics

ISBN : 048615226X

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Book Description

Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.



Fundamental Concepts of Mathematics

Author : K.T. Leung

Publisher : Hong Kong University Press

Page : 268 pages

File Size : 30,74 MB

Release : 1988-04-01

Category : Mathematics

ISBN : 9789622091818

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Book Description

Basic concepts of number theory are discussed. Topics include set theory, mathematical induction, com-binatorics, arithmetic, real numbers, limit and convergence, and complex numbers.



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