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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.
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. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
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. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
PaulErdos ? likedtotalkaboutTheBook,inwhichGodmaintainstheperfect proofsformathematicaltheorems,followingthedictumofG. H. Hardythat there is no permanent place for ugly mathematics. Erdos ? also said that you need not believe in God but, as a mathematician, you should believe in The Book. A few years ago, we suggested to him to write up a ?rst (and very modest) approximation to The Book. He was enthusiastic about the idea and, characteristically, went to work immediately, ?lling page after page with his suggestions. Our book was supposed to appear in March 1998 as a present to Erdos ? ’ 85th birthday. With Paul’s unfortunate death in the summer of 1996, he is not listed as a co-author. Instead this book is dedicated to his memory. ? Paul Erdos We have no de?nition or characterization of what constitutes a proof from The Book: all we offer here is the examples that we have selected, h- ing that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations. We also hope that our readers will enjoy this despite the imperfections of our exposition. The selection is to a ? great extent in?uencedby Paul Erdos himself. A largenumberof the topics were suggested by him, and many of the proofs trace directly back to him, or were initiated by his supreme insight in asking the right question or in makingthe rightconjecture. So to a largeextentthisbookre?ectstheviews of Paul Erdos ? as to what should be considered a proof from The Book.
True Islam's 1997 cult classic is back in print in a new, revised edition. The Book of God has been called 'the bible of the Black God,' as it presents a wide range of scientific, historical, and scriptural evidence demonstrating that the Original Black Man is the God of the world's religious traditions, from the religious traditions of the Ancient Near and Far East such as Kemet (Egypt) and India to the Biblical religions and Islam. The Book of God answers such questions as: How is the Black Man God and what does this mean? What is God's relationship to spirit and matter? What does Albert Einstein's mathematical revelation E=mc2 have to do with the Reality of God? If the Original Black Man is God, Who is the Original Black Woman? Is there evidence of the reality of the Twenty Four Scientists? Who is Master Fard Muhammad? Was he actually an ex-con named Wallie Ford who served time in San Quentin on a drug charge? And more. The Book of God also demonstrates that: The God of the ancient religious traditions around the world was a self-created Black God. The Six Days of Creation in the book of Genesis chronicles the Black God's Six Trillion year evolution. The ancient sacred texts of the Original Man and Woman from around the world agree with the Hon. Elijah Muhammad's Teaching on God. The fields of Genetics and Hebrew Sacred Tradition converge to reveal that the Essence of the Creator inhabits the very genetic makeup of the Original Man and Woman. The Secret of the ancient Mysteries, the Masonic Lodge and Shrine, and the Church of Rome is the Reality of the Black God. Astrophysical evidence and ancient tradition converge to support the Hon. Elijah Muhammad's teaching on the Deportation of the Moon by a Black God. And much more.
A Harvard-trained neurosurgeon shares the near-death experience he had after an extremely rare illness attacked his brain, sending him into a deep coma from which he awakened with a new belief in heaven, God and the soul.

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