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1. Excursions in classical analysis : pathways to advanced problem solving and undergraduate research [2010]
 Chen, Hongwei.
 Washington, D.C. : Mathematical Association of America, c2010.
 Description
 Book — xiii, 301 p. : ill. ; 26 cm.
 Summary

 Preface
 1. Two classical inequalities
 2. A new approach for proving inequalities
 3. Means generated by an integral
 4. The L'Hopital monotone rule
 5. Trigonometric identities via complex numbers
 6. Special numbers
 7. On a sum of cosecants
 8. The gamma products in simple closed forms
 9. On the telescoping sums
 10. Summation of subseries in closed form
 11. Generating functions for powers of Fibonacci numbers
 12. Identities for the Fibonacci powers
 13. Bernoulli numbers via determinants
 14. On some finite trigonometric power sums
 15. Power series
 16. Six ways to sum (2)
 17. Evaluations of some variant Euler sums
 18. Interesting series involving binomial coefficients
 19. Parametric differentiation and integration
 20. Four ways to evaluate the Poisson integral
 21. Some irresistible integrals Solutions to selected problems.
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QA301 .C43 2010  Unknown 
2. Solutions manual to accompany combinatorial reasoning : an introduction to the art of counting [2014]
 DeTemple, Duane W., author.
 Hoboken, New Jersey : John Wiley & Sons, Inc., [2014]
 Description
 Book — viii, 186 pages : ill. ; 23 cm
 Summary

This is a solutions manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting. Written by wellknown scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting introduces combinatorics alongside modern techniques, showcases the interdisciplinary aspects of the topic, and illustrates how to problem solve with a multitude of exercises throughout. The authors' approach is very readerfriendly and avoids the "scholarly tone" found in many books on this topic.
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QA164 .D482 2014  Unknown 
3. Problems and solutions in real analysis [2017]
 Hata, Masayoshi.
 Second edition.  New Jersey : World Scientific, [2017]
 Description
 Book — xii, 363 pages ; 23 cm.
 Summary

This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, differential equations and metric spaces.Each chapter has a summary of basic points, in which some fundamental definitions and results are prepared. This also contains many brief historical comments for some significant mathematical results in real analysis together with many references.Problems and Solutions in Real Analysis can be treated as a collection of advanced exercises by undergraduate students during or after their courses of calculus and linear algebra. It is also instructive for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the Prime Number Theorem through several exercises. This volume is also suitable for nonexperts who wish to understand mathematical analysis.
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QA301 .H37 2017  Unknown 
4. Foundations of analysis [2015]
 Krantz, Steven G. (Steven George), 1951 author.
 Boca Raton, FL : CRC Press, 2015.
 Description
 Book — x, 301 pages : ill. ; 24 cm
 Summary

 Number Systems The Real Numbers The Complex Numbers
 Sequences Convergence of Sequences Subsequences Limsup and Liminf Some Special Sequences
 Series of Numbers Convergence of Series Elementary Convergence Tests Advanced Convergence Tests Some Special Series Operations on Series
 Basic Topology Open and Closed Sets Further Properties of Open and Closed Sets Compact Sets The Cantor Set Connected and Disconnected Sets Perfect Sets
 Limits and Continuity of Functions Basic Properties of the Limit of a Function Continuous Functions Topological Properties and Continuity Classifying Discontinuities and Monotonicity
 Differentiation of Functions The Concept of Derivative The Mean Value Theorem and Applications More on the Theory of Differentiation
 The Integral Partitions and the Concept of Integral Properties of the Riemann Integral Sequences and Series of Functions Convergence of a Sequence of Functions More on Uniform Convergence Series of Functions The Weierstrass Approximation Theorem
 Elementary Transcendental Functions Power Series More on Power Series: Convergence Issues The Exponential and Trigonometric Functions Logarithms and Powers of Real Numbers
 Appendix I: Elementary Number Systems
 Appendix II: Logic and Set Theory Table of Notation Glossary Bibliography Index.
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QA300 .K6445 2015  Unknown 
 LunaElizarrarás, Maria Elena author.
 Cham [Switzerland] : Birkhauser, [2015]
 Description
 Book — viii, 231 pages : color illustrations ; 25 cm.
 Summary

 Introduction. 1.The Bicomplex Numbers. 2.Algebraic Structures of the Set of Bicomplex Numbers. 3.Geometry and Trigonometric Representations of Bicomplex. 4.Lines and curves in BC. 5.Limits and Continuity. 6.Elementary Bicomplex Functions. 7.Bicomplex Derivability and Differentiability. 8.Some properties of bicomplex holomorphic functions. 9.Second order complex and hyperbolic differential operators. 10.Sequences and series of bicomplex functions. 11.Integral formulas and theorems. Bibliography.
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QA331.7 .B85 2015  Unknown 
6. Problems and theorems in analysis [1972  1976]
 Aufgaben und Lehrsätze aus der Analysis. English
 Pólya, George, 18871985.
 Springer study ed.  New York ; Berlin : Springer, c1972c1976.
 Description
 Book — 2 volumes (xix, 389; xi, 391 pages) ; 24 cm
 Summary

 v. I. Series, integral calculus, theory of functions
 v. II. Theory of functions, zeros, polynomials, determinants, number theory, geometry.
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QA300 .P6213 1972B V.1  Unavailable Checked out  Overdue Request 
QA300 .P6213 1972B V.1  Unknown 
QA300 .P6213 1972B V.2  Unknown 
7. Problems and theorems in analysis [1972  1976]
 Aufgaben und Lehrsätze aus der Analysis. English
 Pólya, George, 18871985.
 Berlin, New York, Springer, 19721976.
 Description
 Book — 2 v. 24 cm.
 Summary

 v. 1. Series, integral calculus, theory of functions.
 v. 2. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Translation by C.E. Billigheimer.
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QA300 .P6213 V.1  Available 
QA300 .P6213 V.1  Available 
QA300 .P6213 V.2  Available 
QA300 .P6213 V.2  Available 
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QA300 .P6213 V.1  Unknown 
QA300 .P6213 V.2  Unknown 