Features an authentic and engaging approach to mathematical modeling driven by real-world applications
With a focus on mathematical models based on real and current data, Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft(R) Office Excel(R) guides readers in the solution of relevant, practical problems by introducing both mathematical and Excel techniques.
The book begins with a step-by-step introduction to discrete dynamical systems, which are mathematical models that describe how a quantity changes from one point in time to the next. Readers are taken through the process, language, and notation required for the construction of such models as well as their implementation in Excel. The book examines single-compartment models in contexts such as population growth, personal finance, and body weight and provides an introduction to more advanced, multi-compartment models via applications in many areas, including military combat, infectious disease epidemics, and ranking methods. Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft(R) Office Excel(R) also features:
A modular organization that, after the first chapter, allows readers to explore chapters in any order
Numerous practical examples and exercises that enable readers to personalize the presented models by using their own data
Carefully selected real-world applications that motivate the mathematical material such as predicting blood alcohol concentration, ranking sports teams, and tracking credit card debt
References throughout the book to disciplinary research on which the presented models and model parameters are based in order to provide authenticity and resources for further study
Relevant Excel concepts with step-by-step guidance, including screenshots to help readers better understand the presented material
Both mathematical and graphical techniques for understanding concepts such as equilibrium values, fixed points, disease endemicity, maximum sustainable yield, and a drug's therapeutic window
A companion website that includes the referenced Excel spreadsheets, select solutions to homework problems, and an instructor's manual with solutions to all homework problems, project ideas, and a test bank
The book is ideal for undergraduate non-mathematics majors enrolled in mathematics or quantitative reasoning courses such as introductory mathematical modeling, applications of mathematics, survey of mathematics, discrete mathematical modeling, and mathematics for liberal arts. The book is also an appropriate supplement and project source for honors and/or independent study courses in mathematical modeling and mathematical biology.
Jeffrey T. Barton, PhD, is Professor of Mathematics in the Mathematics Department at Birmingham-Southern College. A member of the American Mathematical Society and Mathematical Association of America, his mathematical interests include approximation theory, analytic number theory, mathematical biology, mathematical modeling, and the history of mathematics.
Автор: Akiyama Shigeki, Arnoux Pierre Название: Substitution and Tiling Dynamics: Introduction to Self-Inducing Structures: Cirm Jean-Morlet Chair, Fall 2017 ISBN: 3030576655 ISBN-13(EAN): 9783030576653 Издательство: Springer Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Delone sets and dynamical systems.- Introduction to hierarchical tiling dynamical systems.- S-adic sequences: dynamics, arithmetic, and geometry.- Operators and Algebras for Aperiodic Tilings.- From games to morphisms.- The Undecidability of the Domino Problem.- Renormalisation for block substitutions.- Yet another characterization of the Pisot conjecture.
Автор: Lang Название: Twists, Tilings, And Tessellations ISBN: 1568812329 ISBN-13(EAN): 9781568812328 Издательство: Taylor&Francis Рейтинг: Цена: 74510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.
Автор: Regan Mike Название: How to Polygon: Art and Geometry of Plane Tiling ISBN: 148089186X ISBN-13(EAN): 9781480891869 Издательство: Неизвестно Рейтинг: Цена: 25990.00 T Наличие на складе: Нет в наличии. Описание:
Geometers ancient and modern have attributed mystical properties to certain numbers and shapes; and artists, designers, and craftspeople have used such patterns in their creations. Polygon tiling can produce astonishing, intricate beauty, reflecting designs originating in nature.
Tiles weave the space. Patterns grow from seeds. New cells fill the place: Ground becomes the figure. Waves of shapes vibrating Swim beyond the page. Time and Motion multiply. Complexity, simplicity, Sprout from repetitions. How to Polygon demonstrates how various polygons fit together on a plane to make attractive, mesmerizing patterns. It offers explanations of the underlying concepts, supplemented with dazzling illustrations of some of the more unusual combinations, and outlines practical ways to create patterns based on the properties of the constituent polygons. With a jaunty, fast-paced narration, author Mike Regan presents a clear and readable approach suitable for designers at any level of expertise, from novice to professional, and for numerous media: fabric design, paper cutouts, ceramic tiles, or wallpaper. The creative possibilities are endless.
Автор: Ingemar Bengtsson, Karol Zyczkowski Название: Geometry of Quantum States : An Introduction to Quantum Entanglement ISBN: 1107656141 ISBN-13(EAN): 9781107656147 Издательство: Cambridge Academ Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
Автор: Dunajski, Maciej (professor Of Mathematical Physics , University Of Cambridge) Название: Geometry: a very short introduction ISBN: 0199683689 ISBN-13(EAN): 9780199683680 Издательство: Oxford Academ Рейтинг: Цена: 9490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and non-Euclidean geometries, to curved spaces, and the geometry of space-time inside a black hole, and outlines the role geometry plays in the broader context of science and art.
Автор: Claus Montonen, Esko Keski-Vakkuri, Marco Panero Название: Mathematical Methods for Physics: An Introduction to Group Theory, Topology and Geometry ISBN: 1107191130 ISBN-13(EAN): 9781107191136 Издательство: Cambridge Academ Рейтинг: Цена: 49630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This detailed yet accessible text introduces the advanced mathematical methods at the core of theoretical physics. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering.
Автор: Matthew C. H. Tointon Название: Introduction to Approximate Groups ISBN: 1108470734 ISBN-13(EAN): 9781108470735 Издательство: Cambridge Academ Рейтинг: Цена: 70750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Recent years have seen rapid progress in the field of approximate groups, with the emergence of a varied range of applications. Written by a leader in the field, this text for both beginning graduate students and researchers collects, for the first time in book form, the main concepts and techniques into a single, self-contained introduction.
Автор: Lasserre Название: An Introduction to Polynomial and Semi-Algebraic Optimization ISBN: 110763069X ISBN-13(EAN): 9781107630697 Издательство: Cambridge Academ Рейтинг: Цена: 48570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.
Автор: Chowdhury Sujaul Название: Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel ISBN: 1636390714 ISBN-13(EAN): 9781636390710 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 48050.00 T Наличие на складе: Нет в наличии. Описание: This book is intended for undergraduate students of Mathematics, Statistics, and Physics who know nothing about Monte Carlo Methods but wish to know how they work. All treatments have been done as much manually as is practicable. The treatments are deliberately manual to let the readers get the real feel of how Monte Carlo Methods work.
Definite integrals of a total of five functions ��(��), namely Sin(��), Cos(��), e��, loge(��), and 1/(1+��2), have been evaluated using constant, linear, Gaussian, and exponential probability density functions ��(��). It is shown that results agree with known exact values better if ��(��) is proportional to ��(��). Deviation from the proportionality results in worse agreement.
This book is on Monte Carlo Methods which are numerical methods for Computational Physics. These are parts of a syllabus for undergraduate students of Mathematics and Physics for the course titled "Computational Physics."
Need for the book: Besides the three referenced books, this is the only book that teaches how basic Monte Carlo methods work. This book is much more explicit and easier to follow than the three referenced books. The two chapters on the Variational Quantum Monte Carlo method are additional contributions of the book.
Pedagogical features: After a thorough acquaintance with background knowledge in Chapter 1, five thoroughly worked out examples on how to carry out Monte Carlo integration is included in Chapter 2. Moreover, the book contains two chapters on the Variational Quantum Monte Carlo method applied to a simple harmonic oscillator and a hydrogen atom.
The book is a good read; it is intended to make readers adept at using the method. The book is intended to aid in hands-on learning of the Monte Carlo methods.
Автор: Jan Vries Название: Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings ISBN: 3110340739 ISBN-13(EAN): 9783110340730 Издательство: Walter de Gruyter Цена: 148700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
Автор: Koranga Bipin Singh, Padaliya Sanjay Kumar Название: An Introduction to Tensor Analysis ISBN: 8770225818 ISBN-13(EAN): 9788770225816 Издательство: Taylor&Francis Рейтинг: Цена: 78590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates to another. The invariant form of equation is necessarily related to the possible system of coordinates with reference to which the equation remains invariant. The primary purpose of this book is the study of the invariance form of equation relative to the totally of the rectangular co-ordinate system in the three-dimensional Euclidean space. We start with the consideration of the way the sets representing various entities are transformed when we pass from one system of rectangular co-ordinates to another. A Tensor may be a physical entity that can be described as a Tensor only with respect to the manner of its representation by means of multi-sux sets associated with different system of axes such that the sets associated with different system of co-ordinate obey the transformation law for Tensor. We have employed sux notation for tensors of any order, we could also employ single letter such A, B to denote Tensors.
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