An Introduction to Mathematics
Title | An Introduction to Mathematics PDF eBook |
Author | Alfred North Whitehead |
Publisher | Courier Dover Publications |
Total Pages | 176 |
Release | 2017-05-04 |
Genre | Mathematics |
ISBN | 0486821382 |
Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.
An Introduction to Mathematics
Title | An Introduction to Mathematics PDF eBook |
Author | Alfred North Whitehead |
Publisher | |
Total Pages | 255 |
Release | 1911 |
Genre | Mathematics |
ISBN |
An Introduction to Mathematics, by A. N. Whitehead
Title | An Introduction to Mathematics, by A. N. Whitehead PDF eBook |
Author | Alfred North Whitehead |
Publisher | |
Total Pages | 270 |
Release | 1911 |
Genre | Mathematics |
ISBN |
Introduction to Proof in Abstract Mathematics
Title | Introduction to Proof in Abstract Mathematics PDF eBook |
Author | Andrew Wohlgemuth |
Publisher | Courier Corporation |
Total Pages | 385 |
Release | 2014-06-10 |
Genre | Mathematics |
ISBN | 0486141683 |
The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.
Introductory Discrete Mathematics
Title | Introductory Discrete Mathematics PDF eBook |
Author | V. K . Balakrishnan |
Publisher | Courier Corporation |
Total Pages | 260 |
Release | 2012-04-30 |
Genre | Mathematics |
ISBN | 0486140385 |
This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.
An Introduction to Mathematical Logic
Title | An Introduction to Mathematical Logic PDF eBook |
Author | Richard E. Hodel |
Publisher | Courier Corporation |
Total Pages | 514 |
Release | 2013-01-01 |
Genre | Mathematics |
ISBN | 0486497852 |
This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
An Introduction to Abstract Mathematics
Title | An Introduction to Abstract Mathematics PDF eBook |
Author | Robert J. Bond |
Publisher | Waveland Press |
Total Pages | 323 |
Release | 2007-08-24 |
Genre | Mathematics |
ISBN | 1478608056 |
Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.