Bøger af Dennis Morris

In association with an international touring exhibition and coinciding with what would have been Bob Marley's eightieth birthday, Dennis Morris marks the first full-career retrospective for this groundbreaking photographer.

This book explains the grammatical structure of language as seen by a mathematician. Using this approach, grammatical structure is very much simplified. This is an easy book to read and understand. If you were ever unsure how to use commas or whether you might be seen as semi-literate by grammar experts, then this is the book for you.

The book covers calculus in both commutative division algebras like the complex numbers and non-commutative division algebras like the quaternions. The gauge covariant derivative used in gauge theory is also covered as is the 4-dimensional space-time covariant derivative used in general relativity. The complicated Cauchy-Riemann calculus used for 200 years within the complex numbers is replaced with a simpler and much more general calculus which applies in every division algebra. This is quite revolutionary. This book is aimed at undergraduates and graduates, but it will be easily understood by first year undergraduates and individuals about to begin university studies.

This book is a rewrite of Lie groups and Lie algebras. The rewrite very much simplifies the standard presentations. The rewrite is done by approaching this area of physics and maths from the intuitively easy side of Lie groups first and Lie algebras second. This makes an inspiring and simple presentation of the material.

This book is about spinors. The whole mathematical theory of spinors is within Clifford algebra, and so this book is about Clifford algebra. Spinor theory is really the theory of empty space, and so this book is about empty space. The whole of Clifford algebra is rewritten in a much simpler form, and so the whole of spinor theory is rewritten in a much simpler form. Not only does this book make Clifford algebra simple and obvious, but it lifts the fog and mirrors from this area of mathematics to make it clear and obvious. In doing so, the true nature of spinors is revealed to the reader, and, with that, the true nature of empty space. To understand this book you will need an elementary knowledge of linear algebra (matrices) an elementary knowledge of finite groups and an elementary knowledge of the complex numbers. From no more than that, you will gain a very deep understanding of Clifford algebra, spinors, and empty space. The book is well written with all the mathematical steps laid before the reader in a way that is easy to follow and to understand.

This book is about the higher dimensional complex numbers. Although it was not known when the first edition was printed, the higher dimensional complex numbers are spinor spaces and the classical spaces, including our 4-dimensional space-time, arise from these spinor spaces by superimposition of isomorphic algebras. This book covers the mathematical foundations underlying the mathematics of spinors and the space-time of classical physics. To understand this book, the reader needs no more than an elementary understanding of matrices and an elementary understanding of finite group theory. Previous knowledge of complex numbers would be helpful.

This book covers the theory of the commutator and of non-commutative differentiation. This material is essential to classical electromagnetism, particle physics, and quantum field theory. Written by an author famous for his clear exposition, the material is clearly presented using no more than matrices and elementary differentiation. This book will be easily understood by anyone with a first year course in maths or physics. We are guided through the fundamentals of finite groups and how they relate to algebras like the complex numbers and the quaternions. We then discover that the commutator is a third algebraic opertion, and this leads to the differential within non-commutative algebras like the quaternions. The next thing we know is that our 4-dimensional space-time and electro-weak theory are falling out of simple mathematics. This book is a must read for all physicists and mathematicians.

This book is about the space-time of our universe. This book is about why our space-time is 4-dimensional and why it has the observed distance function. The mathematics in this book are no more than matrices and a little finite group theory. The mathematical steps are clearly laid out and simple to follow. From this elementary mathematics, we get general relativity and classical electromagenetism; we get spinors stripped naked; we get gravito-electromagnetism; and we get the space-time of our universe. We also get an explanation of why there are three generations of matter and why the universe appears non-deterministic to ourselves. We are introduced to spinor spaces and to the higher dimensional spinor rotations within those spaces.

This book is about permutation matrices. It is the only book currently available on this subject. Permutation matrices are very simple things. A bright 10-year old could understand most of this book. None-the-less, permutation matrices are utterly central to mathematics and theoretical physics. Permutation matrices underpin finite group theory, abstract algebra and modern particle physics. In this book, we get a very simple, almost childlike, introduction to permutation matrices. The reader is introduced to finite group theory in the most simple way possible. The book concludes with a simple and brief introduction to abstract algebra and modern gauge theory. Utterly simple and yet utterly profound, this book is a must read for all mathematicians and physicists.

This book presents the modern quantum field theory view of the electron. This view is very different from the outdated classical view that is most often taught in schools and colleges. We cannot present the QFT view of the electron without also presenting the electron's sister particle the neutrino, and so the QFT view of the neutrino is presented also. The quantum physics equations which describe the electron and the neutrino are presented in a simple and clear way. The Dirac equation is rewritten using quaternions, and this leads to a resolution of the neutrino mass problem and to an understanding of why neutrinos are all left-handed. Thus we come to understand the violation of parity by the weak force and how neutrinos can both move at the speed of light and oscillate between generations. This book is a landmark book in this area of physics.

This book is a non-mathematical description of our present understanding of the nature of empty space and time. It is written to be easily understood by the intelligent lay person.After centuries with only little advance in our understanding of the physics of empty space, there have been sudden recent developments in this area. The author is at the forefront of those recent developments. This enthralling book is clear and simple.

This book presents the long sought after quaternion form of the Dirac equation. Recent developments in understanding quaternion differentiation by the author of this book have produced a rewrite of the Dirac equation as a quaternion equation. The quaternion Dirac equation predicts parity violation by the weak force and explains how neutrinos can be both massless and oscillate between generations. We also have a significant step towards the unification of general relativity and quantum field theory. This book is a monumental triumph of work by many individuals over almost a century. It will be of interest to students and advanced theorists alike.

This book is unique in that it presents finite group theory through permutation matrices. Such a presentation leads to a much less cluttered and clearer presentation than is to be found in other books on group theory. The book is suitable for readers with no formal training in group theory and to individuals presently studying this subject. Group theory is playing an increasing role in modern physics, and knowledge of group theory is becoming essential to an understanding of physics. Hence, this book will also be of interest to physics students and to people with a general interest in physics. After presenting finite group theory, the book concludes with a skeleton outline of how the nature of our 4-dimensional space-time derives from the finite groups.

This book is about quaternions. The quaternions are derived from finite group theory. Non-commutative differentiation is included, as is non-commutative rotation. Quaternion trigonometry is included. Double cover rotation is included. The spinors of quantum physics are shown to be quaternions. Lie algebra and Clifford algebra are visited.

This book is about the 4-dimensional space-time of our universe. From nothing more than the spinor algebras, we derive the existence and nature of our space-time. We explain why our space-time is 4-dimensional, why is has the distance function it has, why we have two types of 2-dimensional angles in our 4-dimensional space-time, and why we find intrinsic curvature in our space-time. We also derive tensor calculus, general relativity, and Riemann geometry from the spinor algebras. We also see classical electromagnetism emerge alongside general relativity. This book is a very easy and clearly presented introduction to tensor calculus. It is suitable to be read prior to, during, or after a course on general relativity and is a necessary supplement to that course.

This book starts with the exponential series and deduces every possible kind of space that has geometric structure. We see our observed 4-dimensional space-time fall out of the exponential series as the unique super-position space that has geometric structure.The mathematics is within the ability of a bright high school student, and the steps are carefully explained.This simple book is perhaps the biggest revolution in our understanding of empty space since Euclid, and it is all so simple.Every possible type of rotation is deduced, and, with each type of rotation, the distance function held constant by by that rotation is deduced. This has profound implications for gauge theory.The fermion content of the universe is explained as the small number of rotations that can be manifest in our 4-dimensional space-time - there is a match.The expansion of the universe is explained - it is so obvious that Einstien ought to have seen it, but he famously did not see it.This book asks and answers many questions that have not before been asked like: Why is there only one gravity field when there are two electro-magnetic fields?Why are there two electro-magnetic fields rather than, say, three or four?This book answers questions that have been asked many times but were unansered like: Why is the universe 4-dimensional?Why do we have four forces in our universe rather than, say, ten or twenty?This book presents the complex numbers in a remarkably simple form, and we see deeply into the nature of mathematics.This book explains why there are two algebraic operations, addition and multiplication, rather than, say three of five.This book is a very pleasant read; indeed, for a maths student or a physics student, this book is simple enough to be a bedtime read. The book is clearly written with an engaging stlye.The author has been researching the nature of empty space for more than twenty years. This puts him at the forefront of theoretical physics. He is an outstanding mathematician with an outstanding ability to pierce through the fog to the essence of the subject.Suitable for high school students and abov