Foundations and Fundamental Concepts of Mathematics
Foundations and Fundamental Concepts of Mathematics

Author: Howard Whitley Eves

Publisher: Courier Corporation

Published: 1997-01-01

Total Pages: 370

ISBN-13: 9780486696096

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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.

Fundamental Concepts of Geometry
Fundamental Concepts of Geometry

Author: Bruce E. Meserve

Publisher: Courier Corporation

Published: 2014-12-08

Total Pages: 340

ISBN-13: 048615226X

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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.

Introduction to the Foundations of Mathematics
Introduction to the Foundations of Mathematics

Author: Raymond L. Wilder

Publisher: Courier Corporation

Published: 2013-09-26

Total Pages: 354

ISBN-13: 0486276201

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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.

Foundations of Geometry
Foundations of Geometry

Author: C. R. Wylie

Publisher: Courier Corporation

Published: 2009-05-21

Total Pages: 352

ISBN-13: 0486472140

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Explains geometric theories and shows many examples.

Foundations of Probability
Foundations of Probability

Author: Alfred Renyi

Publisher: Courier Corporation

Published: 2007-01-01

Total Pages: 386

ISBN-13: 0486462617

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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.

Fundamental Concepts of Mathematics
Fundamental Concepts of Mathematics

Author: R. L. Goodstein

Publisher: Elsevier

Published: 2014-07-14

Total Pages: 334

ISBN-13: 148315405X

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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.

Mathematical Foundations of Computer Science
Mathematical Foundations of Computer Science

Author: G. Shanker Rao

Publisher: I. K. International Pvt Ltd

Published: 2006

Total Pages: 450

ISBN-13: 8188237493

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Mathematical Foundations of Computer Science explains the fundamental concepts in mathematics. It can be used by the students in computer science as an introduction to the underlying ideas of mathematics for computer science. It explains topics like mathematical logic, predicates, relations, functions, combinatorics, algebraic structures and graph theory. It would be useful for the students of B.Tech, BCA, & MCA. Key Features: " Comprehensive discussion on logic, function, algebraic systems, recurrence relations and graph theory " Wide variety of exercises at all levels " Several worked out examples

Foundations of Combinatorics with Applications
Foundations of Combinatorics with Applications

Author: Edward A. Bender

Publisher: Courier Corporation

Published: 2013-01-18

Total Pages: 789

ISBN-13: 0486151506

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This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.