There are many contradictory beliefs about God that claim to be the truth. But since truth never contradicts itself, who really has the truth? Utilizing objective evidence like a detective does in an investigation, the facts point to the one belief that can be proven beyond a reasonable doubt. One truth that applies to everyone if they believe it or not. Follow the evidence and see for yourself.Setting feelings and what others believe aside for a moment learn why objective evidence is the best way to find truth in any investigation, including the truth about God. See for yourself exactly why Christianity is the most reasonable belief available based on the facts and why it applies to everyone, everywhere even if they do not believe it. Learn the two things we all encounter daily that the Bible states is absolute proof of God's existence and leave every person without excuse, even those who have never read the Bible. Learn why trying to be a good person is not good enough.Weigh the objective evidence for yourself and make a reasonable decision about God and then pass the evidence on to others so they can discover the truth. Everyone deserves the opportunity to examine the evidence for themselves.Perfect for the seeker and the believer who want to eliminate doubts and have a reasonable assurance that their faith is actually placed in the truth.If you are a believer you have an obligation to share the truth. Let this book show your friends and family the sound foundation your belief rests upon. It's not about religion, it's about truth.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    

    This book provides a modern introduction to the main principles that are foundational to thermal physics, thermodynamics and statistical mechanics. The key concepts are carefully presented in a clear way, and new ideas are illustrated with copious worked examples as well as a description of the historical background to their discovery. Applications are presented to subjects as diverse as stellar astrophysics, information and communication theory, condensed matter physics and climate change. Each chapter concludes with detailed exercises.

    

    

    

    A software diskette provides an easy-to-use tool for students to derive probabilities for binomial.

    Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

    Unlike other logic puzzle books, every puzzle includes statistics - such as the average completion time, the record completion time, and the percentage of people to complete the puzzle - to bring out the competitor in each puzzler and better inform them on how easy or difficult each puzzle is.?Features 200 grid-based logic puzzles?Includes puzzles statistics for added excitement?Ideal for kids and adults

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    

    How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle writes in the best French tradition: he has produced an authoritative and elegant book--a model of clarity, succinctness, and a humor bordering at times on the sardonic.

    His Contemporary Abstract Algebra, 6/e, includes challenging topics in abstract algebra as well as numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings that give the subject a current feel and makes the content interesting and relevant for students.