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| Author | : F. William Lawvere |
| Publisher | : Cambridge University Press |
| Total Pages | : 280 |
| Release | : 2003-01-27 |
| Genre | : Mathematics |
| ISBN | : 9780521010603 |
In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
| Author | : A. G. Hamilton |
| Publisher | : Cambridge University Press |
| Total Pages | : 272 |
| Release | : 1982 |
| Genre | : Mathematics |
| ISBN | : 9780521287616 |
Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
| Author | : John P. Mayberry |
| Publisher | : Cambridge University Press |
| Total Pages | : 454 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9780521770347 |
This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
| Author | : David Makinson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 302 |
| Release | : 2012-02-27 |
| Genre | : Computers |
| ISBN | : 1447125002 |
This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
| Author | : Joseph Breuer |
| Publisher | : Courier Corporation |
| Total Pages | : 130 |
| Release | : 2012-08-09 |
| Genre | : Mathematics |
| ISBN | : 0486154874 |
This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.
| Author | : Charles C Pinter |
| Publisher | : Courier Corporation |
| Total Pages | : 259 |
| Release | : 2014-07-23 |
| Genre | : Mathematics |
| ISBN | : 0486497089 |
"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
| Author | : Katherine Loop |
| Publisher | : Master Books |
| Total Pages | : 0 |
| Release | : 2016-09-02 |
| Genre | : |
| ISBN | : 9780890519141 |
Katherine Loop has done the remarkable! She has written a solid math course with a truly Biblical worldview. This course goes way beyond the same old Christian math course that teaches math with a few Scriptures sprinkled in and maybe some church-based word problems. This course truly transforms the way we see math. Katherine makes the argument that math is not a neutral subject as most have come to believe. She carefully lays the foundation of how math points to our Creator, the God of the Bible. The nature of God, His Creation, and even the Gospel itself is seen through the study of math. Katherine does a marvelous job of revealing His Glory in this one-of-a-kind math course. Katherine Loop's Principles of Mathematics Biblical Worldview Curriculum is a first of its kind. It takes math to a whole new level students and parents are going to love. It is a guaranteed faith grower!
| Author | : Luca Incurvati |
| Publisher | : Cambridge University Press |
| Total Pages | : 255 |
| Release | : 2020-01-23 |
| Genre | : History |
| ISBN | : 1108497829 |
Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
| Author | : Katherine (Loop) Hannon |
| Publisher | : Master Books |
| Total Pages | : 0 |
| Release | : 2016-03-22 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9780890519073 |
Teacher Guide for use with Principles of Mathematics Book 2. Katherine Loop's Principles of Mathematics Book 2 guides students through the core principles of algebra-equipping your student for High School success! Teacher Guide includes daily schedule, student worksheets, quizzes, tests, and answer key.
| Author | : Oscar Levin |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 238 |
| Release | : 2018-07-30 |
| Genre | : |
| ISBN | : 9781724572639 |
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
