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The Nuts and Bolts of Proofs, Third Edition - An Introduction to Mathematical Proofs 23 September 2013 The Nuts and Bolts of Proofs, Third Edition - An Introduction to Mathematical ProofsEnglish | 2005 | ISBN: 0120885093 | 193 pages | PDF | 6 MB The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. Introduction to Mathematical Structures and Proofs (2nd edition) 3 March 2013 Introduction to Mathematical Structures and Proofs (2nd edition)Larry J. Gerstein Published: 2012-06-06 | ISBN: 1461442648 | PDF | 414 pages | 3 MB Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry 12 June 2010 Mathematical Problems and Proofs: Combinatorics, Number Theory, and GeometryPublisher: Springer 1998 | 214 Pages | ISBN: 0306459671 | PDF | 6 MB A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This excellent primer illustrates more than 150 solutions and proofs, thoroughly explained in clear language. The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. Mathematical Proofs - A Transition to Advanced Mathematics, 3rd Edition 10 September 2013 Mathematical Proofs - A Transition to Advanced Mathematics, 3rd EditionISBN: 0321797094 | 2012 | PDF | 416 pages | 3 MB Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion 2 June 2013 Proofs of the Cantor-Bernstein Theorem: A Mathematical ExcursionPublished: 2013-02-22 | ISBN: 3034802234 | PDF | 452 pages | 3 MB 100% Mathematical Proof 11 August 2014 Rowan Garnier, John Taylor, "100% Mathematical Proof" 1996 | ISBN-10: 047196199X | 317 pages | Djvu | 4 MB "Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof." 100% Mathematical Proof 10 August 2014 Rowan Garnier, John Taylor, "100% Mathematical Proof" 1996 | ISBN-10: 047196199X | 317 pages | Djvu | 4 MB "Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof." Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion 12 January 2015 Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion by Arie HinkisEnglish | 2013-02-22 | ISBN: 3034802234 | PDF | 452 pages | 3 MB Proofs From The Book 9 April 2010 Proofs from THE BOOKSpringer | 2009-11-23 | ISBN: 3642008550 | 274 pages | PDF | 14 MB "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 Introduction to Topology (Student Mathematical Library, V. 14) 20 September 2010 Introduction to Topology (Student Mathematical Library, V. 14)American Mathematical Society 2001 | 149 | ISBN: 0821821628 | PDF | 11 Mb
This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, coverings and fibrations, homotopy groups, intersection index, etc. The author notes, "The lecture note origins of the book left a significant imprint on its style. It contains very few detailed proofs: I tried to give as many illustrations as possible and to show what really occurs in topology, not always explaining why it occurs." He concludes, "As a rule, only those proofs (or sketches of proofs) that are interesting per se and have important generalizations are presented." ... |