This book presents, in a natural and beautiful way, the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added. At a later step, the metric field is added. One then sees clearly how space and time get more and more structure, until finally Einstein's field equations logically come out. Many applications of the theory are briefed and the readers are referred to a carefully prepared literature list for further details. However, extra attention is paid to an application on gravitational radiation which may become important in the near future but somehow is omitted from introductory text books a bit too often. This book, authored by a master theoretical physicist, serves well as a textbook for an elementary course in General Relativity.

Introduction to General Relativity

Science & Math

Hooft, Gerard 't

Physics

Rinton Pr Inc

This book has an extensive coverage of fields in organic chemistry with emphasis on biological applications. It provides students, especially these in medical, biological and engineering areas, with a full scope introduction to organic chemistry fitting into broader interests related to medicinal and biological sciences. Throughout the book, reaction mechanism, organicstructure and analysis, and chemical design are also presented. The book would fulfill the time requirements for one-semester curriculum for freshman and sophomore college students. Alternatively, it could be also used as part of a two-semester curriculum that has general chemistry as part of its focus.

Organic and Biological Chemistry

Patrick, Timothy B.

Biological Sciences

Automating reasoning has been described as ``one of the most exciting and potentially fruitful areas of research that there has ever been.'' This book provides you with the means: a powerful reasoning program called Otter, currently in use to answer diverse and deep questions in mathematics and logic. The volume presents an intriguing and thorough treatment of automated reasoning and Otter -- through numerous examples, exercises, and challenging questions. No background is needed. The early chapters lead you through Otter's fundamental operations and show you how to present questions and problems to Otter, beginning with simple so you can experiment and play with problems. Gradually, more challenging applications are introduced, and more powerful strategies discussed -- strategies that are crucial to Otter's power and impressive list of successes.

Automated Reasoning With Otter

Computers & Technology

Kalman, John Arnold

Kalman, John A

Computer Science

This book brings together the various papers and lectures of Professor Willis E. Lamb, Jr. (who was awarded the Nobel Prize in Physics in 1955 for his precise measurement of what came to be called the Lamb shift) on the fundamental, fascinating, and fashionable subject of the interpretation of quantum mechanics, to which Professor Lamb began to bring his original insights since he started publishing his papers in the filed in 1969. In a detailed editorial annotation on the `Scientific Work of Willis E. Lamb, Jr.’ (based on extensive conversations with Professor Lamb), Jagdish Mehra, a distinguished historian of modern physics, who has published extensively on the historical development of quantum theory, provides a survey of Professor Lamb’s diverse contributions to the various fields of fundamental physics and the context in which they were made. 
The Interpretation of Quantum Mechanics by Willis E. Lamb, Jr., provides all students of quantum mechanics, physicists, philosophers and historians of sciences, new insights in the understanding of quantum mechanics by one of the greatest physicists of the twentieth century, and the editorial annotation offers a fascinating portrait of the life and science of a great man.

The Interpretation of Quantum Mechanics

Mehra, Jagdish

Lamb, Willis E.

This book is a multi-purpose and "user-friendly" textbook covering both fundamentals (in thermodynamics and statistical mechanics) and numerous applications. The emphasis is on simple derivations of simple results which can be compared with experimental data. The first half of the book covers basic thermodynamics, statistical ensembles, Boltzmann and quantum statistics; and the second half covers magnetism, electrostatic interactions (solutions and plasmas), non-equilibrium statistical mechanics, polymers, superfluidity, renormalization theory, and other specialized topics. This book, while serving well as a reference book for research scientists, is especially suitable as a textbook for a one-year statistical mechanics course for undergraduate students in physics, chemistry, engineering, biology, and material sciences. Alternatively, the first 5 chapters of the book can be used as the textbook for an undergraduate one-semester combined thermodynamics /statistical mechanics course (or statistical thermodynamics).

Statistical Mechanics

Tsang, Tung

After thirty years of teaching, the author, a number theorist, has produced this one semester first course in linear algebra, not necessarily for math majors. Students will enjoy such a book that can be read from cover to cover in a semester; instructors will find every hoped-for result proved. Abstraction enters gradually. Students learn to use inner product in R^2, then R^3. Most of the work is done in R^n. In the last chapter, when students are ready, vector spaces, including C^n, appear. There are nice applications such as electrical circuits, Markov chains... All examples can be done by hand. No time lost learning software!

Linear Algebra

Baker, Roger C.

Mathematics

Experimental Implementation of Quantum Computation (IQC '01)

This book is the first in a series of three volumes devoted to quantum mechanics and to quantum field theory. It is self-contained, and the only prerequisites are knowledge of integral calculus and partial differential equations, as well as Newton's mechanics of point masses. New subjects are developed in requisite detail at the various points where they are required. The mathematics is at the same time explicit but kept in check, so that the reader does not get bogged down in annoying generalizations that might distract him or her from the physics. Each chapter is complemented by ten problems, and the student is strongly advised to try them all by himself or herself before looking at our full solutions in the third volume.

Quantum Mechanics: A Self-Contained Course

Atkinson, David

Hounkonnou, Mahouton Norbert

Most appealing - and sometimes even stirring - is a well-constructed case showing that, without doubt, some given assertion holds. Typically, such a case is based on logical and flawless reasoning, on a sequence of steps that follow inevitably from the hypotheses used to deduce each. In other words, a proof is given establishing that the assertion under consideration indeed holds.Such proofs are clearly crucial to logic and to mathematics. Not so obvious, but true, proofs are crucial to circuit design, program writing, and, more generally, to various activities in which reasoning plays a vital role. Indeed, most desirable is the case in which no doubt exists regarding the absence of flaws in the design of a chip, in the structure of a computer program, in the argument on which an important decision is based. Such careful reasoning is even the key factor in games that include chess and poker.This book features one example after another of flawless logical reasoning the context is that of finding proofs absent from the literature. The means for finding the missing proofs is reliance on a single computer program, William McCune's automated reasoning program OTTER.One motivating force for writing this book is to interest others in automated reasoning, logic and mathematics. As the text strongly indicates, we delight in using OTTER equally in two quite distinct activities: finding a proof where none is offered by the literature, and finding a proof far more appealing than any the literature provides. We believe that the challenge offered by the type of problem featured in this book can be as engrossing as solving puzzles and playing various games that appeal to the mind. Indeed, sometimes, inexpressible is the excitement engendered when seeking a proof with fewer steps than was found by one of the great minds of the twentieth century.A second motivating force resets with our obvious enjoyment of the type of research featured in this book. Like the fancier of fine wines, we continually seek new open questions to attack, whether (at one end of the spectrum) they concern the settling of a conjecture or (at the other end) the focus is on proof betterment. We encourage readers to send us additional open questions and challenging problems.Another factor that motivated us was our wish to collect in a single volume a surprisingly large number of proofs, most of which were previously absent from the literature. In some cases, no proof was offered of any type; in some cases, the proof that was offered was far from axiomatic. None of the proofs rely on induction, or on metal argument, or on higher-order logic. In one sense, the book can serve as an encyclopedia of proofs -- many new and many improved - a work that sometimes extends, sometimes replaces, and sometimes supplements the research of more than a century. These proofs offer the implicit challenge of finding others that are further improvements.In a rather different sense, the book may serve as the key to eventually answering one open question after another, whether the context is logic, mathematics, design, synthesis, or some other area relying on sound reasoning. In that regards, we include in details numerous diverse methodologies are themselves intriguing. For an example, one methodology asks for two independent paths that lead to success and, rather than emphasizing what is common to both (theirintersection), instead heavily focuses on what is not shared (their symmetric difference).Although the emphasis here is on their use in the context of logic and mathematics, we conjecture that the methodologies we offer will prove most useful in a far wider context. We also suspect that, especially for those who enjoy solving puzzles and unraveling the mysteries of sciences, the nature of the methodologies will provide substantial stimulation.This volume introduce some readers to the excitement of discovering new results, increase the intrigue of those already familiar with such excitement

Automated Reasoning and the Discovery of Missing and Elegant Proofs

Wos, Larry

Gail W. Pieper

Quantum Field Theory: A Self Contained Course

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