Author: Howard Eves
Publisher: Courier Corporation
ISBN: 048613220X
Category : Mathematics
Languages : en
Pages : 370
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Book Description
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.
Author: Howard Eves
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 422
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Book Description
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.
Author: Howard Whitley Eves
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 363
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Book Description
Author: Howard Eves
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Bruce E. Meserve
Publisher: Courier Corporation
ISBN: 048615226X
Category : Mathematics
Languages : en
Pages : 336
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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.
Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category : Mathematics
Languages : en
Pages : 368
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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.
Author: Raymond L. Wilder
Publisher: Courier Corporation
ISBN: 0486276201
Category : Mathematics
Languages : en
Pages : 352
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Book Description
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.
Author: R. L. Goodstein
Publisher: Elsevier
ISBN: 148315405X
Category : Mathematics
Languages : en
Pages : 334
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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.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Bernd S. W. Schröder
Publisher: Wiley
ISBN: 9780470551387
Category : Mathematics
Languages : en
Pages : 0
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Book Description
An accessible introduction to abstract mathematics with an emphasis on proof writing Addressing the importance of constructing and understanding mathematical proofs, Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, hands-on presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet. The book begins with a focus on the elements of logic used in everyday mathematical language, exposing readers to standard proof methods and Russell's Paradox. Once this foundation is established, subsequent chapters explore more rigorous mathematical exposition that outlines the requisite elements of Zermelo-Fraenkel set theory and constructs the natural numbers and integers as well as rational, real, and complex numbers in a rigorous, yet accessible manner. Abstraction is introduced as a tool, and special focus is dedicated to concrete, accessible applications, such as public key encryption, that are made possible by abstract ideas. The book concludes with a self-contained proof of Abel's Theorem and an investigation of deeper set theory by introducing the Axiom of Choice, ordinal numbers, and cardinal numbers. Throughout each chapter, proofs are written in much detail with explicit indications that emphasize the main ideas and techniques of proof writing. Exercises at varied levels of mathematical development allow readers to test their understanding of the material, and a related Web site features video presentations for each topic, which can be used along with the book or independently for self-study. Classroom-tested to ensure a fluid and accessible presentation, Fundamentals of Mathematics is an excellent book for mathematics courses on proofs, logic, and set theory at the upper-undergraduate level as well as a supplement for transition courses that prepare students for the rigorous mathematical reasoning of advanced calculus, real analysis, and modern algebra. The book is also a suitable reference for professionals in all areas of mathematics education who are interested in mathematical proofs and the foundation upon which all mathematics is built.
