Fibonacci and Lucas Numbers with Applications, Volume 1
By Thomas Koshy
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About this ebook
“ …beautiful and well worth the reading … with many exercises and a good bibliography, this book will fascinate both students and teachers.” Mathematics Teacher
Fibonacci and Lucas Numbers with Applications, Volume I, Second Edition provides a user-friendly and historical approach to the many fascinating properties of Fibonacci and Lucas numbers, which have intrigued amateurs and professionals for centuries. Offering an in-depth study of the topic, this book includes exciting applications that provide many opportunities to explore and experiment.
In addition, the book includes a historical survey of the development of Fibonacci and Lucas numbers, with biographical sketches of important figures in the field. Each chapter features a wealth of examples, as well as numeric and theoretical exercises that avoid using extensive and time-consuming proofs of theorems. The Second Edition offers new opportunities to illustrate and expand on various problem-solving skills and techniques. In addition, the book features:
• A clear, comprehensive introduction to one of the most fascinating topics in mathematics, including links to graph theory, matrices, geometry, the stock market, and the Golden Ratio
• Abundant examples, exercises, and properties throughout, with a wide range of difficulty and sophistication
• Numeric puzzles based on Fibonacci numbers, as well as popular geometric paradoxes, and a glossary of symbols and fundamental properties from the theory of numbers
• A wide range of applications in many disciplines, including architecture, biology, chemistry, electrical engineering, physics, physiology, and neurophysiology
The Second Edition is appropriate for upper-undergraduate and graduate-level courses on the history of mathematics, combinatorics, and number theory. The book is also a valuable resource for undergraduate research courses, independent study projects, and senior/graduate theses, as well as a useful resource for computer scientists, physicists, biologists, and electrical engineers.
Thomas Koshy, PhD, is Professor Emeritus of Mathematics at Framingham State University in Massachusetts and author of several books and numerous articles on mathematics. His work has been recognized by the Association of American Publishers, and he has received many awards, including the Distinguished Faculty of the Year. Dr. Koshy received his PhD in Algebraic Coding Theory from Boston University.
“Anyone who loves mathematical puzzles, number theory, and Fibonacci numbers will treasure this book. Dr. Koshy has compiled Fibonacci lore from diverse sources into one understandable and intriguing volume, [interweaving] a historical flavor into an array of applications.” Marjorie Bicknell-Johnson
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Titles in the series (38)
Building and Solving Mathematical Programming Models in Engineering and Science Rating: 4 out of 5 stars4/5Post-Modern Algebra Rating: 3 out of 5 stars3/5The Hilbert Transform of Schwartz Distributions and Applications Rating: 0 out of 5 stars0 ratingsFunctional Analysis: An Introduction to Banach Space Theory Rating: 0 out of 5 stars0 ratingsConformal Differential Geometry and Its Generalizations Rating: 0 out of 5 stars0 ratingsGroups and Characters Rating: 0 out of 5 stars0 ratingsLebesgue Measure and Integration: An Introduction Rating: 0 out of 5 stars0 ratingsVector Integration and Stochastic Integration in Banach Spaces Rating: 0 out of 5 stars0 ratingsFundamentals of Matrix Computations Rating: 0 out of 5 stars0 ratingsAn Introduction to Metric Spaces and Fixed Point Theory Rating: 0 out of 5 stars0 ratingsA Posteriori Error Estimation in Finite Element Analysis Rating: 0 out of 5 stars0 ratingsApplied Functional Analysis Rating: 0 out of 5 stars0 ratingsPositive Linear Systems: Theory and Applications Rating: 0 out of 5 stars0 ratingsModern Algebra with Applications Rating: 0 out of 5 stars0 ratingsThe Fourier-Analytic Proof of Quadratic Reciprocity Rating: 0 out of 5 stars0 ratingsConvexity and Optimization in Rn Rating: 0 out of 5 stars0 ratingsPrinciples of Differential Equations Rating: 0 out of 5 stars0 ratingsTopology: Point-Set and Geometric Rating: 0 out of 5 stars0 ratingsGreen's Functions and Boundary Value Problems Rating: 0 out of 5 stars0 ratingsNumerical Analysis of Partial Differential Equations Rating: 0 out of 5 stars0 ratingsPartial Differential Equations and the Finite Element Method Rating: 0 out of 5 stars0 ratingsPartial Differential Equations of Applied Mathematics Rating: 4 out of 5 stars4/5The Mathematics of Infinity: A Guide to Great Ideas Rating: 0 out of 5 stars0 ratingsGalois Theory Rating: 0 out of 5 stars0 ratingsRevolutions of Geometry Rating: 0 out of 5 stars0 ratingsPrimes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication Rating: 0 out of 5 stars0 ratingsTime-Dependent Problems and Difference Methods Rating: 0 out of 5 stars0 ratingsTopology and Its Applications Rating: 3 out of 5 stars3/5Mathematical and Computational Modeling: With Applications in Natural and Social Sciences, Engineering, and the Arts Rating: 0 out of 5 stars0 ratings
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