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Lectures on Convex Sets (2nd Ed)The book provides a self contained and systematic treatment of algebraic and topological properties of convex sets in the n dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non geometers. It can be a source for independent
The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the n-dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non-geometers. It can be a source for independent study and a reference book for researchers in academia.
The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions.
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4.5 ★★★★★
Based on 19 reviews
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Product Reviews
★★★★★ 5
It's Great, but Maybe a Little More on the Topic than Some Might be Ready For
Format: Paperback
Dr. William Mounce's new book, "Why I Trust the Bible: Answers to Real Questions and Doubts People Have About the Bible," is a bit different than his typical work. This book is not specific to learning biblical Greek. Instead, it's a series of arguments for the reliability of the Bible with a much broader audience in mind. Mounce addresses this historicity of Jesus, contradictions in the Bible, how we have the biblical canon, issues of textual criticism, aspect of translation, and how the Old Testament supports our trust in the Bible more than you might think.
"Why I Trust the Bible" is an accessible introduction to a selection of apologetic matters but goes deeper and beyond an introduction. For one seeking to explore these topics--for the first time or deeper study--Mounce does an outstanding job with each of these arguments. Each chapter (corresponding to a question) is well-argued and contains an excellent bibliography of references. Even without any theological knowledge, the book is easy to read, and it stands upon excellent theological study and solid academic work.
While I highly recommend "Why I Trust the Bible," I found the scope of the "questions" and "doubts" limited. As a pastor, there are many questions about the historical Jesus, contradictions, how we got the revelation of God, and issues of translations. Sure. But they often come as more of an attempt to reject the Bible. Mounce's answers are excellent but address the reality of the situation rather than the questioner's heart. It's not something I'd expect to find someone with doubts and totally new to the Bible would pick up this book. Therefore, this book is better suited for the person who handles the questions and doubts of others. It provides the foundation and information to the pastor, Sunday school, teacher, friend, or family member in doubt. "Why I Trust the Bible" is also a helpful book for the seminary student, budding apologists, and preachers of God's Word.
The chapters on textual criticism supply a fantastic framework (complete with charts and history). As we would expect from Bill Mounce, these chapters are a resource every pastor should have on his shelf, ready for when the tough challenges come.
I found the book good and helpful and I have a Doctorate of Ministry and more than a decade of pastoral ministry under my belt. My twelve-year-old son is reading the book and also finding it in formative and helpful (although he also thumbs through my commentaries). My point: there's a little for everyone.
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Reviewed in the United States on September 15, 2021
★★★★★ 5
An excellent, if brief introductory survey of the defense of the reliability of Scripture!
Format: Kindle
“How can you trust the Bible? Didn’t you know there are 400,000 disagreements between all the different copies of the New Testament alone, while there are only 110,000 words in it?”
“The Bible contradicts itself, so it can’t be the Word of God.”
“Church leaders picked and chose what went into the Bible, leaving out books and letters they didn’t agree with, so how can you trust what it teaches?”
“Even the different versions of the Bible disagree with one another, so how can it be reliable?”
“Jesus is more myth than historical figure, cobbled together from a bunch of ancient sources and religions. He’s made up, so can’t be a real savior.”
Skeptical claims like these, and plenty others, are leveled against the Bible ALL. THE. TIME. On social media, in popular media, and in documentaries purporting to give the straight dope about the history surrounding the Word of God. We should not be surprised. After all, the enemies of God hate Him, and hate His Word. However, many Christians lack the ability to refute these claims. Many of us merely shout “nuh uh,” all the while wondering if there really are answers to these claims.
There are answers to these claims, Christian. There is an entire field of study, namely apologetics, which provides a defense of the faith. “Why I Trust the Bible” is a one-stop-shop of introductions to several topics which comprise much of the field of apologetics these days:
- The Historical Jesus
- Contradictions in the Bible
- How We Got the Canon (list of books in the Bible)
- Textual Criticism (making sense of textual discrepancies or variants)
- How Translation Happens
- The Supposed Contradiction of the Old Testament
In “Why I Trust the Bible” Dr. Mounce, renowned Greek language scholar, explains why he trusts the Bible, and why you should too.
As a layperson who has done a lot of study in these areas, I found the this book a great introductory survey of these topics, with a great set of footnotes and bibliography for further reading. Most skeptics tossing out the objections covered are merely repeating talking points, and this book will be more than enough to equip you to answer them. “Why I Trust the Bible” is a great introduction to all of these subjects and can provide a great foundation for further study into any and all of them.
If you have studied any of these subjects in greater depth, you may find Mounce’s treatment of them entirely too brief, but for someone who is new to apologetics and specifically the reliability of the Bible, this book is an excellent choice!
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Reviewed in the United States on September 15, 2021
★★★★★ 4
Using this one for a special study in our church.
Format: Paperback
This is a very scholarly book, but the author seeks to simplify it a bit for the reader. This book is written to respond to Biblical skeptics and answers many of the challenges those folks have for skeptics. Very well researched and very well written.
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Reviewed in the United States on October 28, 2024
★★★★★ 5
A Pleasure To Read
Format: Kindle
Academic books are known to be dry and poorly written, with semantics used that inadvertently confuse the reader; not with this book. Mounce displays that not only does he really know his “stuff” as a scholar, but how to make the read enjoyable to the laity. I recall reading the notorious bible skeptic’s book, “Misquoting Jesus” by Bart Ehrman a number of years back and even though as a Christian who loves the Bible I couldn’t help but notice how well and enjoyable he made the book. Both Mounce and Ehrman are in the same field and understand as textual critics how to communicate to people in an manner to the lay person.
I sought out this book with the understanding of how we can trust the canon and got a lot more than I thought! While, I will admit, a lot of trusting that the 27 books of the New Testament (and the Old Testament) are what they are supposed to be is a matter of trusting God in his sovereignty. He laid great groundwork for why the early church believed them and what their criterion was to accept a book as “scripture”. He also brought some important distinctions int eh church’s infancy that there was a functional canon and exclusive canon; that being from scholar Michael Kruger that he referenced.
I found the section on translations very useful as it brought a balanced perspective on what it means not just translate but how to treat the text properly. One of his examples with a big criticism on the term “reading the Bible literally” when translated from one language (Greek, Hebrew and Aramaic) to another (English, etc.). We develop much of our words in translation not just by individuals words that can mean a lot of different things, but with its surrounding context.
I won’t spend too much time but there were a vast amount of other important topics, like the historical Jesus, Old Testament as well as the problem of evil and other things that where quite useful to, but for me and the importance of canon is why I sought on this book. Now I am still on the journey of studying more about why this canon but a lot more clearly has come and I trust the Lord in his sovereignty in that we have preserved God’s holy books.
This is a must read for any Christian apologist or just anyone who is looking to understand the Bible better.
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Reviewed in the United States on June 24, 2023
★★★★★ 5
Faithful to God's Word
Format: Paperback, Format: Paperback
I have been a fan of Bill Mounce since I was taught Koine Greek using Version 2 of his methodology.
He writes in an easy-to-read style that faithfully communicates truth and facts.
I was so impressed with his works that I have purchased several and have used many of his texts--even with the Greek classes that I have taught.
When this new book came out, i was extremely excited because I assumed the same simple yet profound emphasis would exude from this new work.
I was and am correct.
Mounce, in a very positive and supportive way, takes the topic that many make controversial concerning the veracity and trustworthiness of the 66 books we know as the Bible.
He has researched this project well and utilizes the collected wisdom of many modern-day scholars concerning various aspects of ancient texts and translations of the Bible.
He also acknowledges and addresses some of the so-called "wisdom" of a few of the modern-day non-adherants of the Bible. I was very impressed of his handling of these critics and critiques because, as he should, he dealt with them in a very straight-forward manner--affirming their intelligence but not their findings/propositions/conclusions.
I appreciate that--as a pastor, I can strongly recommend this work to adults and older teens in my congregation (all laymen) and that I can trust it as they read it. (In fact, I have already recommended it to some.)
I also appreciate that--as a college/seminary professor, there is sufficient solid material here that I can recommend this to my students and that I can know they are receiving the truth concerning God's Word,
In all honesty, there is probably not enough good that I can say as I recommend this great book.
Dr. James (Jim) Garrett
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Reviewed in the United States on October 14, 2021