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# Tag: Proof

## Proofs Without Words II (More Exercises in Visual Thinking (Classroom Resource Materials)

Like its predecessor, Proofs without Words, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in Read more…

## Structural Proof Theory

Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work Read more…

## Theorems, Corollaries, Lemmas, and Methods of Proof (Pure and Applied Mathematics)

A hands-on introduction to the tools needed for rigorous andtheoretical mathematical reasoningSuccessfully addressing the frustration many students experience asthey make the transition from computational mathematics to advancedcalculus and algebraic structures, Theorems, Corollaries, Lemmas,and Methods of Proof equips students with the Read more…

## Machine Proofs in Geometry (Automated Production of Readable Proofs for Geometry Theorems)

This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with Read more…

## math proofs DeMYSTiFieD (A Self-Teaching Guide)

Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for Read more…

## Mathematical Reasoning (Patterns, Problems, Conjectures, and Proofs)

The development of mathematical competence — both by humans as a species over millennia and by individuals over their lifetimes — is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first Read more…

## Proof Analysis (A Contribution to Hilbert’s Last Problem)

This book continues from where the authors’ previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A Read more…

## Abel’s Proof (An Essay on the Sources and Meaning of Mathematical Unsolvability)

In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. Read more…

## The History of Mathematical Proof in Ancient Traditions

This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by Read more…

## The Art of Proof (Basic Training for Deeper Mathematics)

The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student’s previous intuitive Read more…