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Author: Joseph Kirtland
Publisher: CRC Press
ISBN: 1000227340
Category : Mathematics
Languages : en
Pages : 197
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Book Description
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
Author: Joseph Kirtland
Publisher: CRC Press
ISBN: 1000227340
Category : Mathematics
Languages : en
Pages : 197
Get Book Here
Book Description
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
Author: Jim Stephens
Publisher: Bookbaby
ISBN: 9781483579917
Category : Religion
Languages : en
Pages : 0
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Book Description
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.
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3662223430
Category : Mathematics
Languages : en
Pages : 194
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Book Description
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.
Author: J. Daniel Hays
Publisher: Baker Books
ISBN: 1493427644
Category : Religion
Languages : en
Pages : 385
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Book Description
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.
Author: Ben Orlin
Publisher: Black Dog & Leventhal
ISBN: 0316509027
Category : Mathematics
Languages : en
Pages : 556
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Book Description
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
Author: Daniel J. Velleman
Publisher: Cambridge University Press
ISBN: 0521861241
Category : Mathematics
Languages : en
Pages : 401
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Book Description
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 concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Author: Andrew Wohlgemuth
Publisher: Courier Corporation
ISBN: 0486141683
Category : Mathematics
Languages : en
Pages : 385
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Book Description
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.
Author: Joseph Kirtland
Publisher: CRC Press
ISBN: 1000227383
Category : Mathematics
Languages : en
Pages : 405
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Book Description
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
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 332
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Book Description
Author: William Carpenter
Publisher: Ravenio Books
ISBN:
Category :
Languages : en
Pages : 49
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Book Description
Much may be gathered, indirectly, from the arguments in these pages, as to the real nature of the Earth on which we live and of the heavenly bodies which were created for us. The reader is requested to be patient in this matter and not expect a whole flood of light to burst in upon him at once, through the dense clouds of opposition and prejudice which hang all around. Old ideas have to be gotten rid of, by some people, before they can entertain the new; and this will especially be the case in the matter of the Sun, about which we are taught, by Mr. Proctor, as follows: “The globe of the Sun is so much larger than that of the Earth that no less than 1,250,000 globes as large as the Earth would be wanted to make up together a globe as large as the Sun.” Whereas, we know that, as it is demonstrated that the Sun moves round over the Earth, its size is proportionately less. We can then easily understand that Day and Night, and the Seasons are brought about by his daily circuits round in a course concentric with the North, diminishing in their extent to the end of June, and increasing until the end of December, the equatorial region being the area covered by the Sun’s mean motion. If, then, these pages serve but to arouse the spirit of enquiry, the author will be satisfied.
