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There are three quatations that are pertinent to the present work. John Keats in the poem, Ode on a Grecian Urn, states: "Beaty is truth, truth beauty, that is all ye know on earth, and all ye need to know."

If the poet is right, the book Betond the Farthest Star is the most beatiful book ever writte, Another quote from James Russell Lowell's The Present Crisis is: "Truth forever on the scaffold, wrong forever on the throne - Yet the scaffold sways the future and behind the dim unknown standeth God within the shadow, keeping wathc above his own." Considering fifty years of opposition to anything sensible, it is to be hoped that the book will set the record straigth.

First Corinthians, chapter 13, verses 9 and 10: "For we know in part, and we prophesy in part, but when that which is perfect is come, then that which is in part shall be done away."

The above quote from Saint Paul's letter should be taken to heart. In terms of the future of mankind, the present system based on the work of Euclid, Galileo, Newton, and Einstein is fatally flawed. Present physics can be trusted for mechanical velocities but diverges from reality beyond one tenth the velocity of light. It cannot be said that the contributions of past investigators are without value, but each gave only a partial truth.

**Contents:**

- Gravitational Space
- Cosmology
- Orbital Matter
- Existence
- The Energy of Physical Creation
- Particles
- Thermodynamics
- Principles of Superconductivity
- General Relativity
- Contraction Theory

The human is the only entity in existence capable of believing any number of contradictory things simultaneously, and having absolute faith in the validity of each of them. By the same system of logic, truth is too obscure to be recognized even when it carries the weight of a Mack truck. This gentle observation is made as an introduction to what has been termed "The most famous unsolved problem in the history of mathematics." The problme is known as Fermat's Last Theorem.

The present author learned of the problem and generated a valid solution in 1960. It scarcely needs to be mentioned that the solution was not accepted. Since that time, three additional separate and independent solutions leading to the same conclusion have been generated. The present article is concerned with what the author considers the simplest and most elegant of the four solutions.

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*E = MC*.

^{2}In the past there has been no approach to the study of prime numbers other than that provided by the Seive of Eratosthanes. The process is that pf sifting out composite numbers to leave the primes. Then we may sya that the process yields primes by default.

The present treatise is concerned with the development of algebraic forms from which prime numbers can be developed. Solutions to all the unsolved problems concerning primes are presented. These include the problem of twin primes, sums and differences of primes, and algebraic forms yielding primes.

Also included are solutions to Fermat's Last Theorem, and the Four Color Problem. The basic philosophy is that of showing how easy these unsolved problems can be in actuality. The first two chapters then serve to instill confidence that there are no difficult problems in mathematics. The student must overcome prejudice to the effect that mathematics is difficult before he can relax and enjoy the subject. It is hoped that the present work will give the student as much enjoyment in the reading of it as the author derived in the process of writing.

**Contents:**

- Fermat's Last Theorem 1
- The Four Color Problem 9
- Twin Primes 17
- The Sum of Odd Primes 25
- Problems Involving Primes 35
- The Distribution of Primes 45

Current thought on nuclear energy follows two direction. Fission is the process where the atom is split to give up energy and is the method used in nuclear power plants and atomic bombs. Fusion reaction, the process of combining atoms to get energy, is still in the experimental stage. The major drawbacks of these two processes is that they are less than 50 percent efficient and leave radioactive waste after the reaction.

Carroll's method is a third type of nuclear energy process: it is called nulcear disruption. Carroll says it will be 100 percent efficient and leave no radioactive waste. "What's more," he says, "the process would not use heavy elements like uranium. The process would ideally use hydrogen, the most abundant element in the universe." - *Inside cover*

The present volume is a compilation of a series of separate articles developed by the author over a period of years... The articles resulted from the author's attempts to teach himself something about the field of physics... For those who are interested only in the "Bottom Line," the analysis in Chapter 3 shows that the present estimate of the energy of the universe is short by a factor of ten to the eighty second power. In Chapter 4 there is suggested a means by which this energy can be made available for human use. The process depends upon the patent number 3664143 in the name of the author. - *Introduction*

*by Robert L. Carroll*

Pages: 189

Publisher: Carroll Research Institute

Year: 1972/1976

ISBN: B0006WP9YY

*by Robert L. Carroll*

Pages: 275

Publisher: John Wiley & Sons

Year: 1960

ISBN: B000WSTM3G

ISBN: B0000CKLGW

ISBN: B000X6MQC6

ISBN: B0027KOJVW

This book offers a new approach to the subject which is both simple and direct, an approach which is logical rather than historical. By showing that lift is directly dependent on power and by treating rocket power as the logical lift source, the author is able to give an exposition of the science and mechanisms of powered flight which is unique in its clarity and simplicity.

While providing a foundation in fluid flow and airfoil theory, the work also introduces the fundamentals of propulsion, stability, performance, design, and control. All of the practical problems of flight in the subsonic and supersonic regimes' are discussed. The presentation throughout is thoroughly modern, and many of the topics covered (e.g., rockets, the mission concept, supersonic flight, etc.) are ones which older books either neglect or treat inadequately.

The mathematical approach of the book is simple without being too elementary. In order to emphasize the practical aspects of flight, the author has included 216 problems, half of which are answered (an answer booklet for the remainder is available).

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