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2018年

作者： Koshy Thomas.

Fibonacci and Lucas Numbers with Applications, One, Second Edition 2

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts

2017年

作者： Thomas Koshy

ISBN: (数字)9781118742327

ISBN: (纸本)9781118742129

Praise for the First Edition “ …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 scient

关键词： Fibonacci numbers Lucas numbers Golden Ratio combinatorics number theory

Functional Differential Equations 1

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts Ser.

2016年

作者： Constantin Corduneanu Yizeng Li Mehran Mahdavi

ISBN: (数字)9781119189480

ISBN: (纸本)9781119189503

Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: * Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types * Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines * Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay * An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity * An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and differenc

关键词： mathematics functional equations existence theory stability oscillatory motion neutral functional equations differential equations applied mathematics engineering physics differential analysis dynamic processes ? algorithms science Fourier Analysis Generalized Fourier Analysis

Extremes and recurrence in dynamical systems /

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2016年

作者： Valerio Lucarini [and eight others].

Mathematical and Computational Modeling 1

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts

2015年

作者： Melnik, Roderick Melnik, Roderick John wiley & Sons, Incorporated

ISBN: (数字)9781118854112

ISBN: (纸本)9781118853986

Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-the-art achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, industrial, and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.

关键词： Mathematical modeling computational modeling computational biology computational methods computer science applied mathematics engineering modeling and simulation statistics physics biology computational? engineering social science natural science operations research optimization

Mathematical and computational modeling : with applications in natural and social sciences, engin...

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2015年

作者： edited by Roderick Melnik.

Solutions Manual to Accompany Beginning Partial Differential Equations 3

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts Ser.

2014年

作者： Peter V. O'Neil

ISBN: (数字)9781118880586

ISBN: (纸本)9781118629987

Solutions Manual to Accompany Beginning Partial Differential Equations, 3rd Edition Featuring a challenging, yet accessible, introduction to partial differential equations, Beginning Partial Differential Equations provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms. Thoroughly updated with novel applications, such as Poe's pendulum and Kepler's problem in astronomy, this third edition is updated to include the latest version of Maples, which is integrated throughout the text. New topical coverage includes novel applications, such as Poe's pendulum and Kepler's problem in astronomy.

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Introduction to topology and geometry / 2nd ed.

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2013年

作者： Stahl Saul.

The mathematics of Infinity: A Guide to Great Ideas, Second Edition 2

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丛书名： pure and applied mathematics: A wiley-Interscience series of texts, monographs, and tracts

2012年

作者： Theodore G. Faticoni

ISBN: (数字)9781118243879

ISBN: (纸本)9781118204481

Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.

关键词： Number Theory

The mathematics of Infinity 2

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丛书名： pure and applied mathematics: a wiley series of texts, monographs and tracts

2012年

作者： Faticoni Theodore G.

ISBN: (数字)9781118243824

ISBN: (纸本)9781118204481

关键词： mathematics of infinity infinite sets infinite cardinals ordinals infinity mathematics ordinal numbers logic and sets functions counting infinite sets well ordered sets prime numbers meta-mathematics