This note covers the following topics: Numbers,
functions, and sequences, Limit and continuity, Differentiation, Maxima, minima
and curve sketching, Approximations, Integration, Logarithmic and exponential
functions, Applications of Integration, Series of numbers and functions, Limit
and continuity of scalar fields, Differentiation of scalar fields, Maxima and
minima for scalar fields, Multiple Integration, Vector fields, Stokes’ theorem
and applications.

This book describes some
basic ideas in set theory, model theory, proof theory and recursion theory,
these are all parts of what is called mathematical logic. Topics covered
includes: Set Theory, Induction and Recursion on the Ordinals, Cardinal
Arithmetic, Model Theory and Proof Theory, First-Order Logic Semantics, Formal
Proofs, Elementary Submodels and Recursion Theory.

This note explains the following topics: Logical
Operations, De Morgan’s Laws, Families of Sets, Equivalence Relations, Direct
Proofs, Number Theory, Wilson’s Theorem and Euler’s Theorem, Quadratic Residues,
Functions, Injections and Surjections, Cardinality and Countability

Author(s): Patrick Keef, David Guichard with
modifications by Russ Gordon

This note covers the following topics: Geometric
Quantization and Representation Theory, Geometry of Numbers, Reductive Groups
over Fields, Abelian Varieties, Fiber Bundles and Cobordism, Ergodic Theory,
Complex Manifolds, Algebraic and Arithmetic Geometry, Riemanns Zeta Funcion,
Complex Analysis on Riemann Surfaces, Lie Groups and Lie Algebras.

It is one
of a small number of texts intended to give you, the reader, a feeling for the
theory and applications of contemporary mathematics at an early stage in your
mathematical studies. Topics covered includes: Number theory and its application
to cryptography, A Hierarchy of Infinities, Dynamical Processes, Chaos and
Fractals, Geometry and Topology.

This note explains the
following topics: Advanced Euclidean Geometry, Discrete Mathematics,
Inequalities and constrained extrema, Abstract algebra, Series and Differential
Equations, Inferential statistics.

The aim of this book has been to illustrate the use of mathematics in constructing
diagrams, in measuring areas, volumes, strengths of materials, in calculating
latitudes and longitudes on the earth's surface, and in solving similar
problems. One great branch of Practical Mathematics, that dealing with
electricity and magnetism, has not been included in this book.

Author(s): Knott, Cargill Gilston; Mackay, J. S. (John
Sturgeon)

This note covers the following topics:
Power Series: Sequences and Series, Convergence and Divergence, A Test for
Divergence, Comparison Tests for Positive Series, The Ratio Test for Positive
Series, Absolute Convergence, Power Series, Special Functions: Bessel's Equation
and Bessel's Functions, The Gamma Function, Solution of Bessel's Equation in
Terms of the Gamma Function and Partial Di erential Equations.

These are the sample pages
from the textbook, 'Mathematics Reference Book for Scientists and Engineers'.
Fundamental principles are reviewed and presented by way of examples, figures,
tables and diagrams. It condenses and presents under one cover basic concepts
from several different applied mathematics topics.