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Show_and_Tell_Mathematical_Proofs

A brief introduction to the concepts related with the mathematical proofs, with special attention 🧐 on the proofs by contradiction ➡️⬅️ and by induction.

Goals

The main goal of this project is to bring Maths ➕➖➗✖️ closer to the non-mathematicians, making special attention to the engineers of Karumi 👨🏻‍💻.

Any feedback is welcome, 😄 so please feel free to ask or comment anything you want. If you are shy 😳 and do not want to write in the repo, I will be happy to answer you by email at asuncionjc@us.es 👩🏻‍💻 .

Abstract

Is Mathematics so difficult as it seems? 🤯 Are mathematicians so squared-minded as they looked? 🔲 In this talk, we will learn that is not so complicated to think 🙄 in a mathematical way.

To this aim, the basic ideas of a mathematical proof will be given and illustrated in two well-known techniques: proof by contradiction and proof by induction. Moreover, we all together will solve some examples ✍🏼 to clarify the concepts.

In this talk, no previous knowledge is required 😃 You will just need some paper 📒 a pen to write notes ✍🏼 and to be eager to learn 😃💪

Note that the source file of the abstract can be found here, as well as the pdf document.

Contents

The content of this project will be given as a talk The slides can be checked in the following 👉🏼 link 👈🏼 The talk begins with an introduction to the mathematical reasoning, 🤔 explaining some basic concepts, such as what is a theorem or a proof. Then, proofs of real theorems are solved by applying the well-known techniques: proof by contradiction and by induction. Finally, some conclusions are provided 🙌🏼🙌🏼

Special Thanks to

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License

Copyright 2019 Asunción Jiménez-Cordero

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.

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An Introduction to Mathematical Reasoning with Applications to Induction and Contradiction Proofs

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