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Discrete Mathematics and Its Applications
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by
Kenneth H Rosen
"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 ...
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Is God a Mathematician?
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Mario Livio
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.
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How to Prove It: A Structured Approach
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Daniel J Velleman
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 ...
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The Logic Book
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by
Merrie Bergmann
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 ...
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How to Read and Do Proofs: An Introduction to Mathematical Thought Processes
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Daniel Solow
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 ...
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Understanding Symbolic Logic
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by
Virginia Klenk
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 ...
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Tractatus Logico Philosophicus
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Ludwig Wittgenstein
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.
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Introduction to Logic: Propositional Logic, Revised Edition
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by
Howard Pospesel
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 ...
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Symbolic Logic and the Game of Logic
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by
Lewis Carroll
The two works reprinted in this volume are a unique fusion of logical thought and inimitable whimsy. Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.
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Symbolic logic
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by
Irving M. Copi
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Logic: Techniques of Formal Reasoning
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by
Donald Kalish, Richard Montague, Gary Mar
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 ...
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Q.E.D.: Beauty in Mathematical Proof
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by
Burkard Polster
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. ...
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Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
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by
Douglas E Ensley, J Winston Crawley
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, ...
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The Logic Book with Student Solutions Manual
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by
Merrie Bergmann, James Moor, Jack Nelson
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 ...
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Philosophical Grammar
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by
Ludwig Wittgenstein
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 ...
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Introduction to Mathematical Structures and Proofs
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by
Larry J Gerstein
Gerstein wants-very gently-to teach his students to think. He wants to show them how to wrestle with a problem.
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Word and object.
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by
W. V. Quine
Language consists of dispositions, socially instilled, to respond observably to socially observable stimuli. Such is the point of view from which a noted philosopher and logician examines the notion of meaning and the linguistic mechanisms of objective reference. In the course of the discussion, Professor Quine pinpoints the difficulties involved ...
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Computability and Logic
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by
George Boolos
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 ...
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An Introduction to Godel's Theorems
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by
Peter Smith
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 ...
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Schaum's Outlines of Discrete Mathematics
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Seymour Lipschutz, Ph.D., Marc Lipson
Discrete mathematics becomes more and more important as the digital age goes forward. This newly revised third edition updates all areas of the subject.
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Set theory and the continuum hypothesis
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by
Paul J Cohen
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Chapter Zero: Fundamental Notions of Abstract Mathematics
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Carol Schumacher
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 ...
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The foundations of arithmetic; a logico-mathematical enquiry into the concept of number.
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by
Gottlob Frege
This volume represents the first philosophically sound discussion of the concept of number in Western civilization. (Mathematics)
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The Essential Turing: Seminal Writings in Computing, Logic, Philosophy, Artificial Intelligence, and Artificial Life Plus the Secrets of Enigma
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by
Alan Mathison Turing, B Jack Copeland (Editor)
Alan Turing, pioneer of computing and WWII codebreaker, is one of the most important and influential thinkers of the twentieth century. In this volume for the first time his key writings are made available to a broad, non-specialist readership. They make fascinating reading both in their own right and for their historic significance: contemporary ...
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Tractatus Logico Philosophicus
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by
Lu Wittgenstein
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, ...
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