"Discrete Mathematics and its Applications, Sixth Edition", is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 600 institutions around the world, gives a ...
Designed for those who have no prior background in logic, philosophy, or mathematics, this comprehensive introduction covers all the standard topics of symbolic logic through relational predicate logic with identity. Understanding Symbolic Logic, Fourth Edition, is completely reader-friendly. All concepts and theories are presented in small "bites ...
This fascinating exploration of the great discoveries of history's most important mathematicians seeks an answer to the eternal question: Does mathematics hold the key to understanding the mysteries of the physical world? Illustrations throughout.
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic ...
This new edition is for introductory and intermediate level logic courses, offered in Philosophy departments. The semantics, syntax, and metatheory of both sentential and predicate logic are covered in detail. Techniques and concepts are presented first informally, then formally, using comprehensive explanations and numerous carefully constructed ...
When engineers, computer scientists, and economists need to learn how to read, think about, and create proofs, they turn to Solow. In order to make the material more relevant, the exercises in each chapter have been revised and expanded. New and more complete discussions are included on how to use a previously-proved proposition in both the ...
In 1931, the young Kurt Godel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Godel also outlined an equally significant Second ...
Perhaps the most important work of philosophy written in the twentieth century, Tractatus Logico-Philosophicus was the only philosophical work that Ludwig Wittgenstein published during his lifetime. Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, ...
For freshman/sophomore-level courses on Logic, Introduction to Logic, and Deductive Logic. Designed to make logic interesting and accessible--without sacrificing content or rigor--this classic introduction to contemporary propositional logic explains the symbolization of English sentences and develops formal-proof, truth-table, and truth-tree ...
In his proposal of the solution to most philosophic problems by means of a critical method of linguistic analysis, Wittgenstein sets the stage for the development of logical positivism. Introduction by Bertrand Russell.
Did you know that games and puzzles have given birth to many of today's deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley's "Introduction to Discrete Mathematics", you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, ...
Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the ...
This outstanding book is a leading text for symbolic or formal logic courses All techniques and concepts are presented with clear, comprehensive explanations and numerous, carefully constructed examples. Its flexible organization (all chapters are complete and self-contained) allows instructors the freedom to cover the topics they want in the ...
This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a ...
Discrete mathematics becomes more and more important as the digital age goes forward. This newly revised third edition updates all areas of the subject.
Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. ...
Chapter Zero is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which students construct their own understandings. However, while students are called upon to write their own proofs, they are also encouraged to work in groups. There are few ...
Like Douglas Hofstadteras "GAdel, Escher, Bach," and David Berlinskias "A Tour of the Calculus, Euclid in the Rainforest" combines the literary with the mathematical to explore logicathe one indispensable tool in manas quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge ...
Wittgenstein wrote the Philosophical Grammar during the years 1931 to 1934 - the period just before he began to dictate the Blue Book. Although it is close to the Investigations in some points, and to the Phiosophische Bemerkungen at others, the Philosophical Grammar is an independent work which covers new ground. It is Wittgenstein's fullest ...
"A Mathematical Introduction to Logic, Second Edition", offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not ...
Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. ...
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