This free etextbook online covers the subject of the powerful Quantum Field Theory and related advances. The textbook takes a deeper look at some current applications of Quantum Field Theory to the areas of modern physics and mathematics, in order to offer a deeper understanding of known facts and unsolved problems.
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Advances in Quantum Field Theory 
Advanced General Relativity This free online etextbook is suitable for a graduate level Physics course. The textbook, Advanced General Relativity, covers: Fundamentals, Geodesic congruences, hypersurfaces, Lagrangian and Hamiltonian formulations of general relativity on Black holes.
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21st Century Physics Contemporary and Emerging Technologies The CK12 21st Century Physics FlexBook is a collaborative effort of the Secretaries of Education and Technology and the Department of Education that seeks to elevate the quality of physics instruction across the Commonwealth of Virginia.
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College Physics College Physics is an OpenStax College resource... encouraging learners towards higher levels of learning. A strong foundation in introductory physics (covering a very wide range of topics), with algebra as a prerequisite. Topics are introduced conceptually with a steady progression to precise definition and analytical applications. The analytical aspect (problem solving) is tied back to the conceptual before moving on to another subject. The OpenStax project encourages community curation, and welcomes feedback, suggestions and examples to make it even more relevant for today's students. Flooved will assist with this by submitting all of the annotations made which include examples and suggestions to OpenStax every once in a while, in their authors' names.
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Elements of Abstract and Linear Algebra This book is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences.
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Calculus for the Life Sciences A Modeling Approach. Vol II. Difference and Differential Equations Volume II is suitable for students who have studied calculus and are interested in difference and differential equation models in the life sciences. Volume II consists of Chapter 1 from Volume I, Chapter D  the differential equations that appear in Chapters 3  10 of Volume I, and five additional chapters on difference and differential equations.
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Calculus for the Life Sciences A Modeling Approach. Vol I Difference Equations, Calculus and Differential Equations In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There is a chapter on systems of two difference equations.
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Comprehensive Introduction to Linear Algebra  Part III  Operators and Tensors Chapter 11 presents the basic formalism of tensors as they are most commonly used by applied mathematicians, physicists and engineers. Finally, Chapter 12 serves as an introduction to the theory of infinitedimensional vector spaces
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Comprehensive Introduction to Linear Algebra  Part II  Polynomials and Canonical FormsS In the present chapter, we focus our attention on eigenvalues and eigenvectors, which is probably the most important characterization of a linear operator that is available to us. In Chapter 8 we give a complete discussion of canonical forms of matrices under similarity
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