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Physics
in Spacetime -- an
Introduction to
Special Relativity B Schumacher  ...
an introduction to special relativity for undergraduates in physics and
mathematics. It is shaped by two convictions: (1) Relativity is not a "side
issue" or "special topic". Rather, it is an essential unifying idea that
illuminates every branch of physics. (2) The best way to teach relativity is
to adopt a "spacetime" point of view from the start. A physical situation
may appear different to different observers, but every observer must see the
same four-dimensional spacetime. The book should be accessible to students
who have completed a calculus-based introductory physics course. It may be
used as the main text for a semester-long course on special relativity, or
as a supplemental text in courses on modern physics, mechanics,
electromagnetism, or general relativity. |
Introduction to Quantum
Neural Technologies A Ezhov and G Berman  This
is a first introductory book in Quantum Neural Technology -- a new and
promising area of informatics. A combination of the ideas from quantum
computing and neural computing raises the possibility of dramatically
decreasing the complexity of neural systems by replacing networks of
classical neurons with a single quantum neuron. In the first two chapters,
the fundamentals of neural technologies and of quantum computing are
presented. In the third chapter, it is outlined how the problems typical for
classical neural technology can be solved by using quantum neural
technology. This book is useful to students, teachers,
researchers, and engineers, who are working in informatics or just
wanting to know of the area. |
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Current Perspectives in
High Energy Physics ed: D Ghoshal focuses on enigmatic issues that go beyond the very successful Standard Model of particle physics, including the problem of neutrino mass, the unobserved Higgs particle, the quark-gluon plasma, quantum aspects of gravity, and the so-called hierarchy problem. Much research effort in both theory and experiment are needed to solve these important questions |
Lectures
on Electromagnetism A Das This volume of lecture notes on electromagnetism has evolved from graduate and undergraduate EM Theory courses given by Professor A Das at the Univ. of Rochester. The basics of the subject are taught with the clarity and attention to detail ...
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Methods of Mathematical Physics
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Automated Reasoning and the
Discovery of Missing and Elegant Proofs L Wos & G.W. Pieper  This book is rare -- perhaps the only one of its type -- in that it simultaneously provides the basis for diverse courses in logic, mathematics, and automated reasoning; teaches how research can be successfully conducted; and presents results that had eluded various masters for many decades. Key to obtaining these results is the use of strategies and methodologies, detailed in this volume, and the marvelous program OTTER (featured here) -- which automates logical reasoning, deducing millions of conclusions that follow inevitably from the hypotheses supplied by the user. In this book, various aspects of the newly discovered Hilbert's twenty-fourth problem are addressed. The included CD-ROM offers OTTER in various forms, numerous input files, and a large number of proofs that are new. By experimenting with these offerings, both the new researcher and the expert alike may experience the excitement of attacking deep open questions and discovering missing and elegant proofs. |
Introduction to General Relativity
 Gerard 't Hooft "... very elegant ... pleased to recommend highly ... " -George Smoot (UC Berkeley) " ... this text to be far superior to Dirac's General Theory of Relativity ... 't Hooft's direct and rather elegant style will find many supporters." -Donald Marolf (Syracuse U), Physics Today July issue (2001). |
Statistical
Mechanics T Tsang  a multi-purpose and "user-friendly" textbook including fundamentals in thermodynamics and statistical mechanics and various applications
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Advanced Quantum
Mechanics |
Computational
Methods for Applied Science and Engineering: an Interactive Approach M Ancona  Presented in an intuitive and highly readable
style, this textbook provides a thorough introduction to the principles,
methods and art of solving differential equations on the computer by
finite-differencing. Topics range from the elements of discretization,
interpolation and stability to standard solvers for ordinary and partial
differential equations to advanced topics such as symplectic integrators and
multi-grid. To enhance understanding the coverage is leavened with numerous
examples and exercises as well as projects designed to expose the student to
the material as it is actually practiced. This book is accompanied by CD-ROM
with a pdf version of the text and useful software.
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Quantum Mechanics
 -- a self-contained course David Atkinson & M. Norbert Hounkonnou This book is the first in a series of four volumes devoted to quantum mechanics and to quantum field theory. It is self-contained. The prerequisites are a 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 explicit but kept in check, and the reader does not get bogged down in annoying generalizations that might distract him or her from the physics. In each chapter, ten problems are given. The student is strongly advised to try them all by himself or herself before looking at our full solutions in the third volume.
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Quantum Field Theory - a self-contained course David Atkinson & Porter W Johnson The only prerequisites for this book are a knowledge of partial differential equations, MaxwellˇŻs theory of electromagnetism, and the material of Volume 1. An introduction is given to the special theory of relativity, to the relativistic reformulation of MaxwellˇŻs equations, and also to unbounded operators on Hilbert space. The basic goal is the setting up of rules for drawing Feynman graphs and for calculating amplitudes from them. This is done primarily in quantum electrodynamics; but an appendix sketches the extension to the electroweak theory, and Feynman rules are given for this extended Lagrangian. Each chapter is complemented by ten problems, and the student is advised to try them all by himself or herself before looking at our solutions in Volume 4. |
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Exercises in Quantum Mechanics -
a self-contained book of questions and answers
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Exercises in Quantum Field Theory
- a self-contained book of questions and answers D Atkinson and P W Johnson  This
book is the fourth in a series of four volumes. It contains the full
solutions of all 100 exercises and problems of Volume 2,
Quantum Field Theory: A
Self-Contained Course. For the convenience of
the user, each question is reproduced in this book, followed immediately
by the solution. Beside solving the problem, many of the expositions
include additional didactic material. Where feasible, algebraic answers
are given; but in some places recourse to approximate methods was
necessary. Some of the numerical results were obtained by using
Mathematica (which is a trademark of Wolfram Research Inc.), but for
readers without access to this system, many of our numerical answers can
be checked by means of a scientific calculator.
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| Organic and Biological Chemistry Timothy B. Patrick  ... 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 ... for one-semester curriculum for freshman and sophomore college students ... |
Automated Reasoning with Otter John Kalman with foreword by  Larry Wos"... a masterpiece ... a unique blend of theoretical and experimental material. Its myriad of worked examples make it a joy to use in the classroom. Students, teachers, and researchers alike should benefit greatly from Kalman's expertise." - Branden Fitelson (U of Wisconsin) |
| Linear Algebra Roger Baker  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. |
Basic Analysis
Kenneth Kuttler  This book is directed to advanced
undergraduates and beginning graduate students, in math and non-math majors, who are
interested in analysis and it is self contained for this audience. Ideally, it can be used
as a textbook for a two semester course for seniors and beginning graduate students. |
| more |
This
book covers the fundamental methodologies in mathematical physics, including
the theory of functions of complex variable, the derivation of mathematical
physics equations and the methods for solving them, and the properties of
some special functions. Besides the common and classical methods, updating
ideas are also introduced, e.g., the saddle point and asymptotic
representation, the generalized function, and the single soliton solution of
nonlinear equations. This book is not only necessary for the college
students majoring in physics to learn the electrodynamics and quantum
mechanics, but also indispensable for most students majoring in science and
technology to further their studies.
This book is based on lecture
notes developed in last twenty two years during which the authors have been
teaching a core graduate course, Quantum Mechanics II, at Fudan University.
It covers a very broad range of topics, presenting the state of the art in
Quantum Mechanics. Discussions on some topics such as Levinson theorem,
Casimir effect, the essence of special relativity, the interpretation of
wave function, geometric phase, fractional statistics, and paradoxes in
quantum mechanics, reflect to some extent the authors' own research results.
The book is profound, practical, enlightening, and pleasantly readable. It
is not only a very good textbook for students majoring in theoretical,
experimental, or applied physics, but also a very useful reference for
researchers as well.
This volume contains full solutions of all 100 exercises that are given in
the first volume