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Tensors, Differential Forms, and Variational Principles

by David Lovelock & Hanno Rund

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques....

Advanced Calculus of Several Variables

by C. H. Edwards

Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems....

Introduction to Real Analysis

by Michael J. Schramm

This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.

Vector and Tensor Analysis with Applications

by A. I. Borisenko, I. E. Tarapov & Richard A. Silverman

Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968...

An Introduction to Ordinary Differential Equations

by Earl A. Coddington

A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with...

Problem Solving Through Recreational Mathematics

by Bonnie Averbach & Orin Chein

Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers...

Geometry: A Comprehensive Course

by Dan Pedoe

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Chemical Kinetics and Reaction Dynamics

by Paul L. Houston

This text teaches the principles underlying modern chemical kinetics in a clear, direct fashion, using several examples to enhance basic understanding. Solutions to selected problems. 2001 edition.

Group Theory and Quantum Mechanics

by Michael Tinkham

Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964...

A Guide to Feynman Diagrams in the Many-Body Problem

by Richard D. Mattuck

Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, more. "A great...

Fads and Fallacies in the Name of Science

by Martin Gardner

Fair, witty appraisal of cranks, quacks, and quackeries of science and pseudoscience: hollow earth, Velikovsky, orgone energy, Dianetics, flying saucers, Bridey Murphy, food and medical fads, and much more....

Fundamentals of Mathematical Physics

by Edgar A. Kraut

Indispensable for students of modern physics, this text provides the necessary background in mathematics to study the concepts of electromagnetic theory and quantum mechanics. 1967 edition.

Lie Groups, Lie Algebras, and Some of Their Applications

by Robert Gilmore

This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and...

Challenging Problems in Algebra

by Alfred S. Posamentier & Charles T. Salkind

Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief...

An Introduction to Statistical Thermodynamics

by Terrell L. Hill

Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration...

Human Anatomy in Full Color

by John Green

Twenty-five exceptionally clear and detailed anatomical plates — with labels and extensive captions — depict the skeleton, spine, bones, joints, skull, muscles, skin and limbs; heart, stomach, other organs;...

Origins of Existence: How Life Emerged in the Universe

by Fred C. Adams & Ian Schoenherr

In Origins of Existence astrophysicist Fred Adams takes a radically different approach from the long tradition of biologists and spiritual leaders who have tried to explain how the universe supports the development...

Christ Clone

by David McLeod

In this gripping thriller, the challenge goes out: clone Jesus Christ.Can science make a leap of faith? A wealthy businessman, issues a global challenge to all biotechnology corporations: clone Jesus Christ....

Agent_Zero: Toward Neurocognitive Foundations for Generative Social Science

by Joshua M. Epstein

The Final Volume of the Groundbreaking Trilogy on Agent-Based Modeling

In this pioneering synthesis, Joshua Epstein introduces a new theoretical entity: Agent_Zero. This software individual, or "agent," is endowed...

On the Origin of Species: By Means of Natural Selection

by Charles Darwin

Reasoned and well-documented in its arguments, this work offers coherent views of natural selection, adaptation, the struggle for existence, survival of the fittest, and other concepts that form the foundation...