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Book Foundations and Fundamental Concepts of Mathematics

Download or read book Foundations and Fundamental Concepts of Mathematics written by Howard Whitley Eves and published by Courier Corporation. This book was released on 1997-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics. The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." — Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.

Book An Introduction to the Foundations and Fundamental Concepts of Mathematics

Download or read book An Introduction to the Foundations and Fundamental Concepts of Mathematics written by Howard Eves and published by . This book was released on 1965 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written in an attempt to make available an introductory treatment of the foundations of mathematics and of concepts that are basic to mathematical knowledge.

Book Foundations and Fundamental Concepts of Mathematics

Download or read book Foundations and Fundamental Concepts of Mathematics written by Howard Eves and published by Courier Corporation. This book was released on 2012-04-10 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

Book Foundations and Fundamental Concepts of Mathematics

Download or read book Foundations and Fundamental Concepts of Mathematics written by Howard Eves and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book An Introduction to the Foundations and Fundamental Concepts of Mathematics

Download or read book An Introduction to the Foundations and Fundamental Concepts of Mathematics written by Howard Whitley Eves and published by . This book was released on 1961 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Concepts of Modern Mathematics

Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Introduction to the Foundations of Mathematics

Download or read book Introduction to the Foundations of Mathematics written by Raymond L. Wilder and published by Courier Corporation. This book was released on 2013-09-26 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.

Book Fundamental Concepts of Geometry

Download or read book Fundamental Concepts of Geometry written by Bruce E. Meserve and published by Courier Corporation. This book was released on 2014-12-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Fundamentals of Mathematics

Download or read book Fundamentals of Mathematics written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Foundations of Probability

Download or read book Foundations of Probability written by Alfred Renyi and published by Courier Corporation. This book was released on 2007-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.

Book Fundamental Concepts of Mathematics

Download or read book Fundamental Concepts of Mathematics written by R. L. Goodstein and published by Elsevier. This book was released on 2014-07-14 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Fundamentals of Mathematics

Download or read book Fundamentals of Mathematics written by Denny Burzynski and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Foundations of Mathematical Analysis

Download or read book Foundations of Mathematical Analysis written by Richard Johnsonbaugh and published by Courier Corporation. This book was released on 2012-09-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.

Book Foundation Mathematics For Non Mathematicians

Download or read book Foundation Mathematics For Non Mathematicians written by Shott, Milo and published by McGraw-Hill Education (UK). This book was released on 1990-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for students who either never obtained any formal qualifications in mathematics, or whose knowledge became rusty through prolonged lack of use. It explains mathematical concepts and topics which are prerequisites for a student embarking on any science or other numerically based course in further and higher education. The text contains many worked examples, illustrations and exercises with solutions to reinforce understanding of the material. The emphasis is on a user-friendly approach and simplicity of style - which makes the book easy to study on its own, without any editorial help.

Book Fundamental Concepts of Mathematics

Download or read book Fundamental Concepts of Mathematics written by Uwe Storch and published by Springer. This book was released on 2024-10-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides essential foundations of mathematics, covering set theory, algebra, the theory of real and complex numbers, and topology. It serves as the basis for further exploration of mathematics. Not only are the necessary concepts introduced, but also essential – including deeper – statements are proven. The material is illustrated and supplemented by unusual examples and diverse exercises. The book is suitable for self-study, but primarily designed as companion reading from the beginning for a study in mathematics, physics, and computer science. Its coherent approach makes it highly readable and comparatively easy to understand. This book is a translation of the original German edition ‘Grundkonzepte der Mathematik’ by Uwe Storch and Hartmut Wiebe, published by Springer-Verlag GmbH, DE in 2017. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content (by the author Hartmut Wiebe only, as Uwe Storch is no longer with us).

Book The Foundations of Mathematics

Download or read book The Foundations of Mathematics written by Thomas Q. Sibley and published by John Wiley & Sons. This book was released on 2008-04-07 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Foundations of Mathematics provides a careful introduction to proofs in mathematics, along with basic concepts of logic, set theory and other broadly used areas of mathematics. The concepts are introduced in a pedagogically effective manner without compromising mathematical accuracy and completeness. Thus, in Part I students explore concepts before they use them in proofs. The exercises range from reading comprehension questions and many standard exercises to proving more challenging statements, formulating conjectures and critiquing a variety of false and questionable proofs. The discussion of metamathematics, including Gödel’s Theorems, and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts