This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: * General Basis and Bra-Ket Notation * Tensor Analysis * Elementary Differential Geometry * Differential Forms * Applications of Tensors and Differential Geometry * Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.

This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: * General Basis and Bra-Ket Notation * Tensor Analysis * Elementary Differential Geometry * Differential Forms * Applications of Tensors and Differential Geometry * Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.

The ideal review for your physics course

More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. A quick, easy-to-follow guide to mathematical topics required for important concept development in physics More than 1,500 fully-solved problems presented from both the physics and mathematics point-of-view Hundreds more practice problems

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More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you 1,600 fully solved problems Complete review of all course fundamentals

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Topics include: Elements of Algebra; Functions; Graphs of Functions; Linear Equations; Simultaneous Linear Equations; Quadratic Functions and Equations; Inequalities; Locus of an Equation; The Straight Line; Families of Straight Lines; The Circle; Arithmetic and Geometric Progressions; Infinite Geometric Series; Mathematical Induction; The Binomial Theorem; Permutations; Combinations; Probability; Determinants of Order Two and Three; Determinants of Order; Systems of Linear Equations; Introduction to Transformational Geometry; Angles and Arc Length; Trigonometric Functions of a General Angle; Trigonometric Functions of an Acute Angle; Reduction to Functions of Positive Acute Angles; Graphs of the Trigonometric Functions; Fundamental Trigonometric Relations and Identities; Trigonometric Functions of Two Angles; Sum, Difference, and Product Trigonometric Formulas; Oblique Triangles; Inverse Trigonometric Functions; Trigonometric Equations; Complex Numbers; The Conic Sections; Transformations of Coordinate; Points in Space; Simultaneous Quadratic Equations; Logarithms; Power, Exponential, and Logarithmic Curves; Polynomial Equations, Rational Roots; Irrational Roots of Polynomial Equations; Graphs of Polynomials; Parametric Equations; The Derivative; Differentiation of Algebraic Expressions; Applications of Derivatives; Integration; Infinite Sequences; Infinite Series; Power Series; Polar Coordinates; Introduction to the Graphing Calculator; The Number System of Algebra; and Mathematical Modeling

Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores

Schaum's Outlines-Problem Solved.

The ideal review for your elementary mathematics course

More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. 2,500 fully worked problems of varying difficulty Clear, concise explanations of arithmetic, algebra, and geometry Outline format supplies a concise guide to the standard college courses in elementary mathematics Appropriate for the following courses: Basic Mathematics, Elementary Mathematics, Introduction to Mathematics, Review of Arithmetic, Elementary Algebra, Review of Algebra, Business Mathematics I, Math for the GED Detailed explanations and practice problems in arithmetic, algebra, and geometry Comprehensive review of specialized topics such as fractions, decimals, percents, ratios, proportions, and rates