Powerful Proof


Book Description

In a world turning from God, how do you prove Him? Are there times in your life when you want to share your love of God and His reality, but you don’t know how? How can you do so in a loving, non-threatening way? In Powerful Proof, Linda Hackenbruck shares with you her personal stories of God’s love and transforming power; stories she shares when asked why she lives for God. They span decades of loving and living for Him and are filled with His miracles. Throughout her life, God stayed with her, as her confidant, comforting her in trials and answering her simple prayers in unexpected ways. His deep love led her through pain and suffering, harm to her infant daughter and the death of her son. As she was broken and emptied of herself, God changed her for His purposes and use in His kingdom, finally filling her with unbelievable joy. The following are glimpses into what He has done: *How He used a broken tail light to save her son from continuing down a dark path. *How He saved her infant daughter’s life after autopsy papers and a burial outfit had been requested *How, after three years of trying to forgive the doctor who had hurt her baby, God completed her forgiveness in the most unlikely way. *How, after decades of prayer, her father experienced two miracles and came to know God as personal and loving. *How He delivered a new dishwasher to her front door, even though she had “given up” dishwashers. *How her young daughter prayed for a Christmas pageant dress and it arrived in a paper bag, on the front porch, two days before the pageant. *How He saved her husband from stage 4 cancer through prayer and His intervention. Linda will share truths she has learned in her lifetime of trusting God: *He is always trustworthy. *Giving up your will in obedience to His brings abundant blessing. *You can trust Him with your children, whether He miraculously saves them or shocks you by taking them home to Himself. *He always hears our prayers and answers them in His time and in unexpected ways. *He talks directly to us in ways we can understand. *He is able to heal us physically and emotionally. *He loves an honest and humble heart. *He can take our anger and pain and turn them to joy. *If we ask, He will give us wisdom in our life situations. *We can’t out love God. Our world is working hard to make Jesus, God and the Holy Spirit irrelevant and foolish. Many people struggle with believing in Them. When asked why she lives for God and can be so sure He is real, Linda tells them God is not only real but is lovingly involved in her everyday life. She shares her stories and people listen, because they are stories of God in action. They are stories of a God they can relate to and a God they can believe in. They are her absolute truth as she has lived it. She joyfully shares them with you.




Proofs from THE BOOK


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.




Book of Proof


Book Description

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.




Proofs and Fundamentals


Book Description

The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.




Mathematical Induction


Book Description

This book serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject. Induction is one of the most important techniques used in competitions and its applications permeate almost every area of mathematics.




How to Prove It


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.




STACS 2002


Book Description

This book constitutes the refereed proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2002, held in Antibes - Juan les Pins, France, in March 2002. The 50 revised full papers presented together with three invited papers were carefully reviewed and selected from a total of 209 submissions. The book offers topical sections on algorithms, current challenges, computational and structural complexity, automata and formal languages, and logic in computer science.




Automated Deduction - CADE 28


Book Description

This open access book constitutes the proceeding of the 28th International Conference on Automated Deduction, CADE 28, held virtually in July 2021. The 29 full papers and 7 system descriptions presented together with 2 invited papers were carefully reviewed and selected from 76 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations, and practical experience. The papers are organized in the following topics: Logical foundations; theory and principles; implementation and application; ATP and AI; and system descriptions.




Frontiers of Combining Systems


Book Description

This book constitutes the refereed proceedings of the 6th International Symposium on Frontiers of Combining Systems, FroCoS 2007, held in Liverpool, UK, September 2007. The 14 revised full papers presented were carefully selected and are organized in topical sections on combinations of logics, theories, and decision procedures; constraint solving and programming; combination issues in rewriting and programming as well as in logical frameworks and theorem proving systems.




Logic Colloquium '85


Book Description

The bulk of this volume consists of invited addresses presented at the Colloquium. These contributions report on recent or ongoing research in some of the mainstream areas of mathematical logic: model theory, both pure and in its applications (to group theory and real algebraic geometry); and proof theory, applied to set theory and diophantine equations.The major novel aspect of the book is the important place accorded to the connections of mathematical logic with the neighboring disciplines: mathematical foundations of computer science, and philosophy of mathematics.