Introduction to Tensor Calculus and Continuum Mechanics is an advanced College level mathematics text. The first part of the text introduces basic concepts, notations and operations associated with th . . . . .
The Landscape of Theoretical Physics: A Global View; From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle.
This a book is for those who would like to learn somethin . . . . .
I wrote this book in a "do-it-yourself" style so that I give only a draft of tensor theory, which includes formulating definitions and theorems and giving basic ideas and formulas. All other work such . . . . .
This is a free comprehensive textbook on quantum (and classical) field theory. The approach is pragmatic, rather than traditional or artistic. For more details, including download information and erra . . . . .
This work represents our effort to present the basic concepts of vector and tensor analysis. Volume
I begins with a brief discussion of algebraic structures followed by a rather detailed discussion o . . . . .
This book helps the student complete the transition from purely manipulative to rigorous mathematics. The clear exposition covers many topics that are assumed by later courses but are often not covere . . . . .
This is a small (98 page) textbook designed to teach mathematics and computer science students the basics of how to read and construct proofs.
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Contents: Introduction; Curves; Gauss Curvature; Surfaces in E3; First Fundamental Form; Second Fundamental Form; The Gauss Curvature in Detail; Geodesics; The Curvature Tensor and the Theorema Egregi . . . . .
Contents: 1. Lorenz Model: an introduction to chaos; 2. The Pendulum: the language of dynamical systems; 3. Nonlinear Oscillators: quasiperiodicity and frequency locking; 4. One Dimensional Maps; 5. T . . . . .
This Electronic Statistics Textbook offers training in the understanding and application of statistics. The material was developed at the StatSoft R&D department based on many years of teaching underg . . . . .
Contents: Introduction; Partial Differentiation; Curves and Surfaces; Line Integrals and Exact Differentials; Multiple Integrals; Vector Differential Operators; The Big Integral Theorems; Orthogonal . . . . .