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Proofs 101

Author: Joseph Kirtland

Publisher: CRC Press

Published: 2020-11-21

Total Pages: 197

ISBN-13: 1000227340

Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and a first course in linear algebra. The book prepares students for the proofs they will need to analyze and write the axiomatic nature of mathematics and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies. Features Designed to be teachable across a single semester Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses Offers a balanced variety of easy, moderate, and difficult exercises

Proofs 101

Author: Joseph Kirtland

Publisher: CRC Press

Published: 2020-12-11

Total Pages: 164

ISBN-13: 1000227383

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Proofs 101

Author: Joseph Kirtland

Publisher: Chapman & Hall/CRC

Published: 2020-11-21

Total Pages: 176

ISBN-13: 9781003082927

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"Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies Features Designed to be teachable across a single semester Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses A balanced variety of easy, moderate, and difficult exercises"--

Book of Proof

Author: Richard H. Hammack

Publisher:

Published: 2016-01-01

Total Pages: 314

ISBN-13: 9780989472111

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

101 Proofs for God

Author: Jim Stephens

Publisher: Bookbaby

Published: 2016-11-10

Total Pages: 0

ISBN-13: 9781483579917

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The vast majority of people in this country say they believe in God. But why? Can they prove it or is it just a "feeling"? This book will help. A lot of very smart people are convinced that we descended from monkeys, and long before that it was amoebas. They think that all life came about accidentally, a bazillion to one chance but we won the lottery of lotteries. Do you know enough science, especially the latest discoveries, to be able to refute them convincingly and even change their minds? This book will help. Most of us as kids believed in Santa Claus and most of us taught our children that he existed as well. After all, there was clear evidence he existed on Christmas morning. What about God? Would you like to know good evidence for children and teens (oldsters too) that God is real, not just a Santa myth? This book will help. You are an expert on something for sure, but do you have expertise on God. Have you researched the arguments for Darwinism enough to know what it is really implying and why it is actually anti-scientific? This book will help. Knowing with certainty that God exists has tremendous implications for your life. And, also significantly, there are likely consequences when this life is over if any part of you continues to exist in another realm. Peruse this book, something in it will catch your eye. Read that chapter. It will make you think. And that could change your life for the better.

Introduction to Proof in Abstract Mathematics

Author: Andrew Wohlgemuth

Publisher: Courier Corporation

Published: 2014-06-10

Total Pages: 385

ISBN-13: 0486141683

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The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.

A Treatise on the Principles of Evidence and Practice as to Proofs in Courts of Common Law; with elementary rules for conducting the examination and cross-examination of witnesses

Author: William Mawdesly BEST

Publisher:

Published: 1860

Total Pages: 910

ISBN-13:

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An Introduction to Mathematical Proofs

Author: Nicholas A. Loehr

Publisher: CRC Press

Published: 2019-11-20

Total Pages: 413

ISBN-13: 1000709620

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An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra. New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics. Features Study aids including section summaries and over 1100 exercises Careful coverage of individual proof-writing skills Proof annotations and structural outlines clarify tricky steps in proofs Thorough treatment of multiple quantifiers and their role in proofs Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations About the Author: Nicholas A. Loehr is an associate professor of mathematics at Virginia Technical University. He has taught at College of William and Mary, United States Naval Academy, and University of Pennsylvania. He has won many teaching awards at three different schools. He has published over 50 journal articles. He also authored three other books for CRC Press, including Combinatorics, Second Edition, and Advanced Linear Algebra.

Proofs from THE BOOK

Author: Martin Aigner

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 194

ISBN-13: 3662223430

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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

A Christian's Guide to Evidence for the Bible

Author: J. Daniel Hays

Publisher: Baker Books

Published: 2020-10-20

Total Pages: 320

ISBN-13: 1493427644

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With each passing year, archaeologists and historical scholars uncover more evidence that the people, places, and events presented in the Bible are verifiable historical facts. This engaging, full-color resource presents 101 undisputed examples of those people, places, and events to help ground your reading of the Scriptures in the historic record. The proofs include - Scripture references - full-color photos - a brief discussion of the evidence - a list of other places in the Bible the person, place, or event is mentioned - and a list of sources to consult for further information and verification This fascinating volume is not only a strong apologetic for the historicity of the Bible but is also the perfect resource for the layperson who wants to enhance their personal Bible study and for those teaching Sunday school or leading a group study.