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Author : Anonim
Publisher : ReadHowYouWant.com
Page : 514 pages
File Size : 54,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781442971134
Author : Anonim
Publisher : ReadHowYouWant.com
Page : 466 pages
File Size : 48,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781442971165
Author : Anonim
Publisher : ReadHowYouWant.com
Page : 314 pages
File Size : 48,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781442961937
Author : Anonim
Publisher : ReadHowYouWant.com
Page : 474 pages
File Size : 44,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781442976061
Author : Anonim
Publisher : ReadHowYouWant.com
Page : 286 pages
File Size : 53,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781458730688
Author : Anonim
Publisher : ReadHowYouWant.com
Page : 582 pages
File Size : 55,5 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781442976139
Author : Anonim
Publisher : ReadHowYouWant.com
Page : 434 pages
File Size : 44,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781458716033
Author : Anonim
Publisher : ReadHowYouWant.com
Page : 514 pages
File Size : 49,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781442975989
Author : Donald H. Menzel
Publisher : Unknown
Page : 0 pages
File Size : 52,5 Mb
Release : 2014-04-14
Category : Electronic
ISBN : 0674427661
Author : Carol Schumacher
Publisher : Addison Wesley
Page : 264 pages
File Size : 43,9 Mb
Release : 2001
Category : Education
ISBN : UOM:39015053152859
This book 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 readers construct their own understanding. However, while readers are called upon to write their own proofs, they are also encouraged to work in groups. There are few finished proofs contained in the text, but the author offers "proof sketches" and helpful technique tips to help readers as they develop their proof writing skills. This book is most successful in a small, seminar style class. Logic, Sets, Induction, Relations, Functions, Elementary Number Theory, Cardinality, The Real Numbers For all readers interested in abstract mathematics.
Author : Carol Schumacher
Publisher : Jones & Bartlett Publishers
Page : 472 pages
File Size : 55,9 Mb
Release : 2008
Category : Mathematics
ISBN : STANFORD:36105129634130
&Quot;Closer and Closer is the ideal first introduction to real analysis for upper-level undergraduate mathematics majors. The text takes students on a guided journey through the often challenging world of analysis, providing them with the tools to solve rigorous problems with ease. The author achieves this with a student-friendly writing style, an active learning approach, and rich examples and problem sets, along with a unique two-part format."--BOOK JACKET.
Author : Matthias Beck,Ross Geoghegan
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 54,8 Mb
Release : 2010-08-17
Category : Mathematics
ISBN : 9781441970237
The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.
Author : D.C. Goldrei
Publisher : Routledge
Page : 296 pages
File Size : 53,5 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9781351460613
Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbersDefining natural numbers in terms of setsThe potential paradoxes in set theoryThe Zermelo-Fraenkel axioms for set theoryThe axiom of choiceThe arithmetic of ordered setsCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
Author : Keith Devlin
Publisher : CRC Press
Page : 160 pages
File Size : 42,6 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9781482286021
Keith Devlin. You know him. You've read his columns in MAA Online, you've heard him on the radio, and you've seen his popular mathematics books. In between all those activities and his own research, he's been hard at work revising Sets, Functions and Logic, his standard-setting text that has smoothed the road to pure mathematics for legions of undergraduate students. Now in its third edition, Devlin has fully reworked the book to reflect a new generation. The narrative is more lively and less textbook-like. Remarks and asides link the topics presented to the real world of students' experience. The chapter on complex numbers and the discussion of formal symbolic logic are gone in favor of more exercises, and a new introductory chapter on the nature of mathematics--one that motivates readers and sets the stage for the challenges that lie ahead. Students crossing the bridge from calculus to higher mathematics need and deserve all the help they can get. Sets, Functions, and Logic, Third Edition is an affordable little book that all of your transition-course students not only can afford, but will actually read...and enjoy...and learn from. About the Author Dr. Keith Devlin is Executive Director of Stanford University's Center for the Study of Language and Information and a Consulting Professor of Mathematics at Stanford. He has written 23 books, one interactive book on CD-ROM, and over 70 published research articles. He is a Fellow of the American Association for the Advancement of Science, a World Economic Forum Fellow, and a former member of the Mathematical Sciences Education Board of the National Academy of Sciences,. Dr. Devlin is also one of the world's leading popularizers of mathematics. Known as "The Math Guy" on NPR's Weekend Edition, he is a frequent contributor to other local and national radio and TV shows in the US and Britain, writes a monthly column for the Web journal MAA Online, and regularly writes on mathematics and computers for the British newspaper The Guardian.
Author : Dennis Sentilles
Publisher : Courier Corporation
Page : 416 pages
File Size : 40,7 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9780486277585
This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.
