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Hundreds of books in dozens of topics in mathematics. Texts and monographs on all levels, undergraduate to graduate studies. For specific topics try searching by key word: topology, algebra, differential equations, calculus, probability, etc.

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Recommendations...

Journey into Mathematics: An Introduction to ProofsJourney into Mathematics: An Introduction to Proofs 
by Joseph J. Rotman
This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

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How to Solve Mathematical ProblemsHow to Solve Mathematical Problems 
by Wayne A. Wickelgren
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.


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Concepts of Modern MathematicsConcepts of Modern Mathematics 
by Ian Stewart
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

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Makers of MathematicsMakers of Mathematics 
by Stuart Hollingdale
Fascinating and highly readable, this book illustrates the roles of Archimedes, Descartes, Fermat, Pascal, Newton, Einstein, and others in the development of mathematics. 1989 edition.


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Introduction to Knot TheoryIntroduction to Knot Theory 
by Richard H. Crowell, Ralph H. Fox
Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature." 1963 edition.

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Differential ManifoldsDifferential Manifolds 
by Antoni A. Kosinski
Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with elements of theory and concluding with method of surgery. 1993 edition.

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Lie Groups, Lie Algebras, and Some of Their ApplicationsLie 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 edtion. Includes 75 figures and 17 tables, exercises and problems.


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Differential Forms with Applications to the Physical SciencesDifferential Forms with Applications to the Physical Sciences 
by Harley Flanders
A graduate-level text utilizing exterior differential forms in the analysis of a variety of mathematical problems in the physical and engineering sciences. Includes 45 illustrations. Index.


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Complex Variables: Second EditionComplex Variables: Second Edition 
by Stephen D. Fisher
Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.


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Number Systems and the Foundations of AnalysisNumber Systems and the Foundations of Analysis 
by Elliott Mendelson
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.


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Fifty Challenging Problems in Probability with SolutionsFifty Challenging Problems in Probability with Solutions 
by Frederick Mosteller
Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest or because they demonstrate valuable techniques. Also includes detailed solutions.


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Set Theory and the Continuum HypothesisSet Theory and the Continuum Hypothesis 
by Paul J. Cohen
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.

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