Page Contents
Attributes of Proofs by Jay Cummings PDF
Proofs by Jay Cummings PDF This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by “scratch work” or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own.This book covers intuitive proofs, direct proofs, sets, induction, logic, the contrapositive, contradiction, functions and relations. The text aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and conversational, and includes periodic attempts at humor.This text is also an introduction to higher mathematics. This is done in-part through the chosen examples and theorems. Furthermore, following every chapter is an introduction to an area of math. These include Ramsey theory, number theory, topology, sequences, real analysis, big data, game theory, cardinality and group theory.After every chapter are “pro-tips,” which are short thoughts on things I wish I had known when I took my intro-to-proofs class. They include finer comments on the material, study tips, historical notes, comments on mathematical culture, and more. Also, after each chapter’s exercises is an introduction to an unsolved problem in mathematics.In the first appendix we discuss some further proof methods, the second appendix is a collection of particularly beautiful proofs, and the third is some writing advice.
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Illustrations of Proofs by Jay Cummings PDF
This book is one of the best-selling books for the subject of science and math for all students and professionals around the world who aspire to achieve excellency in their courses and field for better understanding and teaching their pupils and themselves. It is a must read at-least once a lifetime, whether or not you find yourself related to the subject or not. So download book Proofs by Jay Cummings PDF
The Writers
Jay Cummings believes that learning math has become far too expensive, and is striving to write textbooks which are enjoyable to read, highlight the beauty in mathematics, and are significantly more affordable than the others on the market. After receiving his PhD from UC San Diego under Ron Graham, he joined the faculty at California State University, Sacramento. His combinatorics research continues and he particularly enjoys involving students in his work. He is passionate about his teaching and enjoys designing new courses.
Proportions of Proofs by Jay Cummings PDF
- Identification Number : B08T8JCVF1
- Publisher : Independently published (January 19, 2021)
- Language : English
- Paperback : 511 pages
- International Standard Book Number-13 : 979-8595265973
- Item Weight : 2.86 pounds
- Dimensions : 8.5 x 1.16 x 11 inches
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