Book of Proof

This book covers a lot of material in a very readable way. It eschews a formal axiomatic approach in favour of introducing important ideas intuitively and using them to construct proofs. It gives a good overview to various mechanisms of proof and a bit of background on the history and development of the ideas that you won't usually find in more formal texts on logic or set theory. It also includes exercises with solutions to the odd numbered ones.I'm not an academic and although it was my degree subject it's a while since I've studied maths in a formal setting, but I'd say that this book would serve well as preparation for studying "proper" maths (I'd happily recommend it to someone who's just finished their A levels and is about to embark on a degree) or even as an introduction pending further study in the foundations of mathematics.

Clear explanations and well written. Lots of exercises and thoroughly worked examples. I expected it to be a very dry read, but not at all.

For any student who wants to read mathematics at undergraduate level should purchase this book. It is an introduction to mathematical proof and at its present price of approximately £8 is a good buy. I think you can download it free from the authors’ personal webpage.It has a large number of exercises to reinforce your understanding and some good illustrations.I do not know who published this book but it lacks a polished output and gives the impression that it has been printed on a local printer and bounded together; maybe this is why it can be sold at such a cheap price. Additionally it only gives solutions to odd numbered questions which can be off putting to a student who wants to use this book for self-learning.

A lot of exercises to learn how to read and write proofs. I highly recommend that you do all of the exercises. A great introduction to functions and calculus. Giving you the tools to write proofs at a very good level.

Great book for those who want to get into proofs.

Es un libro muy útil para consultar y aprender los mecanismos matemáticos necesarios para probar planteamientos nuevos.

Ich habe ein Buch gesucht um den Einstieg in die theoretische Mathematik (vor allem den Umgang mit Beweisen) zu lernen. In meinem Informatik Studium (Fokus ML) an einer FH liegt der Fokus weniger auf theoretischen Beweisen, da ich aber auf Dauer in die Forschung möchte und mich für Beweise interessiere brauchte ich ein Buch um den Einstieg zu schaffen (im Selbststudium) und schwerere Literatur verstehen zu können.Habe das Buch gekauft, um Bücher wie "Linear Algebra Done Right" besser zu verstehen, um damit die Grundlage für schwere Kost im ML Bereich zu schaffen wie z.B Bishop.Das Buch schafft es die theoretischen Grundlagen sehr leicht und vor allem VERSTÄNDLICH bei zu bringen. Habe das Gefühl, dass so etwas wie Beweise oft völlig unverständlicherweise viel zu kompliziert gelehrt werden, weil das Prinzip dahinter nicht erklärt wird. Dieses Buch schafft das aber grandios.Das Buch besitzt zahlreiche Aufgaben. Alle Aufgaben mit ungeraden Nummern haben dabei die Lösungen hinten im Buch stehen. Damit ist das Buch auch für das Selbststudium geeignet und ist nicht ausschließlich für die Durchführung eines Uni Kurses gedacht.Kann ich nur jedem empfehlen der den Einstieg von der anwendungsorientierten in die theoretische Mathematik sucht.

I gave this book a five-star rating because I really appreciate what the author has done here in creating a high quality text at a low cost. This text would probably be most appropriate as a resource for a discrete math course. I am intending to use several sections of this text, as a resource for a math-literacy course for education majors that I teach. The tone of the book is somewhat casual for a pure math book, but the overall level of the book suggests it would be most appropriate for second or third year students majoring in math, or a closely related discipline such as physics or engineering, with a strong math concentration. It's inexpensive enough (freely available as a PDF download), approachable enough, and concise enough for an enterprising student, trying to improve their marks in a pure math course (or courses) to use independently as a supplementary resource.