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Mathematics

Guide to library research in Mathematics.

New Books Purchased by Campbell Library

by Daniel Kipnis on 2024-05-01T10:59:00-04:00 | 0 Comments
Cover ArtThe Numerate Leader by Thomas A. King
ISBN: 1119843308
Publication Date: 2021-10-21
Learn how to make informed decisions through statistical reasoning! Using a qualitative approach to introduce statistical reasoning, The Numerate Leader: How to Pull Game-Changing Insights from Statistical Data is a cutting-edge book that helps the reader extract information from unfamiliar data sets. Combining introductory statistics with a few ideas from the philosophy of science, this work helps generalists find patterns that may be expected to recur in the future. Identifying one or two such relationships can be a game-changer for the reader and their employer or client. Thomas A. King's revelatory writing is easy to understand and conversational in tone. King makes the complex, tedious topics that you studied in the classroom--but likely didn't yet understand--easily comprehensible. Historical examples and humorous anecdotes illuminate technical concepts so that readers may pull insights from data sets and then explain conclusions reached through effective storytelling. What's more, the book is fun to read. A natural teacher, King emphasizes that complex software is unnecessary for success in this field. Readers, however, will find: Real-life examples that help put statistical concepts into an understandable context A glossary of important statistical terms and their use An appendix detailing ten math facts numerate people should know Perfect for undergraduate and graduate students entering advanced data analytics courses, as well as data analysts and c-suite executives just starting out, The Numerate Leader is key in helping develop the skills to identify provisional relationships between disparate data sets and then assess the significance of conclusions reached.
 
Cover ArtExploring Careers in Cybersecurity and Digital Forensics by Lucy K. Tsado; Robert Osgood
ISBN: 1538140616
Publication Date: 2022-02-15
Exploring Careers in Cybersecurity and Digital Forensics is a one-stop shop for students and advisors, providing information about education, certifications, and tools to guide them in making career decisions within the field. Cybersecurity is a fairly new academic discipline and with the continued rise in cyberattacks, the need for technological and non-technological skills in responding to criminal digital behavior, as well as the requirement to respond, investigate, gather and preserve evidence is growing. Exploring Careers in Cybersecurity and Digital Forensics is designed to help students and professionals navigate the unique opportunity that a career in digital forensics and cybersecurity provides. From undergraduate degrees, job hunting and networking, to certifications and mid-career transitions, this book is a useful tool to students, advisors, and professionals alike. Lucy Tsado and Robert Osgood help students and school administrators understand the opportunity that exists in the cybersecurity and digital forensics field, provide guidance for students and professionals out there looking for alternatives through degrees, and offer solutions to close the cybersecurity skills gap through student recruiting and retention in the field.
 
Cover ArtThe Center and Focus Problem by M. N. Popa; V. V. Pricop
ISBN: 1003193072
Publication Date: 2021-09-23
The Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (Hardback) This book focuses on an old problem of the qualitative theory of differential equations, called the Center and Focus Problem. It is intended for mathematicians, researchers, professors and Ph.D. students working in the field of differential equations, as well as other specialists who are interested in the theory of Lie algebras, commutative graded algebras, the theory of generating functions and Hilbert series. The book reflects the results obtained by the authors in the last decades. A rather essential result is obtained in solving Poincaré's problem. Namely, there are given the upper estimations of the number of Poincaré-Lyapunov quantities, which are algebraically independent and participate in solving the Center and Focus Problem that have not been known so far. These estimations are equal to Krull dimensions of Sibirsky graded algebras of comitants and invariants of systems of differential equations.
 
Cover ArtPentagons and Pentagrams by Eli Maor; Eugen Jost
ISBN: 0691238553
Publication Date: 2022-09-27
A fascinating exploration of the pentagon and its role in various cultures The pentagon and its close cousin, the pentagram, have inspired individuals for the last two and half millennia, from mathematicians and philosophers to artists and naturalists. Despite the pentagon's wide-ranging history, no single book has explored the important role of this shape in various cultures, until now. Richly illustrated, Pentagons and Pentagrams offers a sweeping view of the five-sided polygon, revealing its intriguing geometric properties and its essential influence on a variety of fields. Traversing time, Eli Maor narrates vivid stories, both celebrated and unknown, about the pentagon and pentagram. He discusses the early Pythagoreans, who ascribed to the pentagon mythical attributes, adopted it as their emblem, and figured out its construction with a straightedge and compass. Maor looks at how a San Diego housewife uncovered four previously unknown types of pentagonal tilings, and how in 1982 a scientist's discovery of fivefold symmetries in certain alloys caused an uproar in crystallography and led to a Nobel Prize. Maor also discusses the pentagon's impact on many buildings, from medieval fortresses to the Pentagon in Washington, D.C. Eugen Jost's superb illustrations provide sumptuous visual context, and the book's puzzles and mazes offer fun challenges for readers, with solutions given in an appendix.
 
Cover ArtThe Mathematics of Shuffling Cards by Persi Diaconis; Jason Fulman
ISBN: 9781470463038
This book gives a lively development of the mathematics needed to answer the question, ``How many times should a deck of cards be shuffled to mix it up?'' The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table. The mathematics ranges from probability (Markov chains) to combinatorics (symmetric function theory) to algebra (Hopf algebras). There are applications to magic tricks and gambling along with a careful comparison of the mathematics to the results of real people shuffling real cards. The book explores links between shuffling and higher mathematics--Lie theory, algebraic topology, the geometry of hyperplane arrangements, stochastic calculus, number theory, and more. It offers a useful springboard for seeing how probability theory is applied and leads to many corners of advanced mathematics. The book can serve as a text for an upper division course in mathematics, statistics, or computer science departments and will be appreciated by graduate students and researchers in mathematics, statistics, and computer science, as well as magicians and people with a strong background in mathematics who are interested in games that use playing cards.
 
Cover ArtThe Proof Stage by Stephen Abbott
ISBN: 0691243360
Publication Date: 2023-07-11
 
 
 
 
 
Cover ArtRandom Graphs and Networks: a First Course by Alan Frieze; Michał Karoński
ISBN: 9781009260282
Publication Date: 2023-03-09
Networks surround us, from social networks to protein-protein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an accessible introduction to this rapidly expanding subject. It covers all the basic features of random graphs - component structure, matchings and Hamilton cycles, connectivity and chromatic number - before discussing models of real-world networks, including intersection graphs, preferential attachment graphs and small-world models. Based on the authors' own teaching experience, it can be used as a textbook for a one-semester course on random graphs and networks at advanced undergraduate or graduate level. The text includes numerous exercises, with a particular focus on developing students' skills in asymptotic analysis. More challenging problems are accompanied by hints or suggestions for further reading.
 
Cover ArtMathematics for Computation (M4C) by Marco Benini; Olaf Beyersdorff; Michael Rathjen; Peter Schuster
ISBN: 9789811245213
Publication Date: 2023-05-01
The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not.Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency.Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory.The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions.
 
Cover ArtHandbook of Mathematical Science Communication by Anna Maria Hartkopf; Erin Henning
ISBN: 9789811253065
Publication Date: 2022-08-01
Mathematical science communication, as well as the field of science communication in general, has gained momentum over the last few decades. Mathematical science communication aims to inform the public about contemporary research, enhance factual and methodological knowledge, and foster a greater interest and support for the science of mathematics. This enables the public to apply it to their practical life, and to decision-making on a greater scale. These objectives are met in the various formats and media through which mathematical science communication is brought to the public.The first 13 chapters of the book consist of best-practice examples from the areas of informal math education, museums and exhibitions, and the arts. The final 5 chapters discuss the structural aspects of mathematical science communication and contribute to the basis for its theoretical framework.
 
Cover ArtIntroduction to Chaos, Fractals and Dynamical Systems by Phillip A. Laplante; Chris Laplante
ISBN: 9789811273247
Publication Date: 2023-08-01
This book offers a fun and enriching introduction to chaos theory, fractals and dynamical systems, and on the applications of fractals to computer generated graphics and image compression. Introduction to Chaos, Fractals and Dynamical Systems particularly focuses on natural and human phenomenon that can be modeled as fractals, using simple examples to explain the theory of chaos and how it affects all of us. Then, using straightforward mathematic and intuitive descriptions, computer generated graphics and photographs of natural scenes are used to illustrate the beauty of fractals and their importance in our world. Finally, the concept of Dynamical Systems, that is, time-dependent systems, the foundation of Chaos and Fractal, is introduced. Everyday examples are again used to illustrate concepts, and the importance of understanding how these vital systems affect our lives. Throughout the fascinating history of the evolution of chaos theory, fractals and dynamical systems is presented, along with brief introductions to the scientists, mathematicians and engineers who created this knowledge.Introduction to Chaos, Fractals and Dynamical Systems contains ample mathematical definitions, representations, discussions and exercises, so that this book can be used as primary or secondary source in home schooling environments.The book is suitable for homeschooling as a focused course on the subject matter or as a classroom supplement for a variety of courses at the late junior high or early high-school level. For example, in addition to a standalone course on Chaos, Fractals and Dynamical Systems (or similar title), this book could be used with the following courses: The text can also be used in conjunction with mathematics courses for undergraduates for non-science majors. The book can also be used for informal and lively family study and discussion.For each chapter, exercises and things to do are included. These activities range from simple computational tasks to more elaborate computer projects, related activities, biographical research and writing assignments
 
 
 
 
 

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