Douglas C. Montgomery, Cheryl L. Jennings, Murat Kulahci

Introduction to Time Series Analysis and Forecasting, 3rd Edition

ISBN: 978-1-394-18670-9
July 2024
736 pages

Description

Bring the latest statistical tools to bear on predicting future variables and outcomes

A huge range of fields rely on forecasts of how certain variables and causal factors will affect future outcomes, from product sales to inflation rates to demographic changes. Time series analysis is the branch of applied statistics which generates forecasts, and its sophisticated use of time oriented data can vastly impact the quality of crucial predictions. The latest computing and statistical methodologies are constantly being sought to refine these predictions and increase the confidence with which important actors can rely on future outcomes.

Time Series Analysis and Forecasting presents a comprehensive overview of the methodologies required to produce these forecasts with the aid of time-oriented data sets. The potential applications for these techniques are nearly limitless, and this foundational volume has now been updated to reflect the most advanced tools. The result, more than ever, is an essential introduction to a core area of statistical analysis.

Readers of the third edition of Time Series Analysis and Forecasting will also find:

Updates incorporating JMP, SAS, and R software, with new examples throughout
Over 300 exercises and 50 programming algorithms that balance theory and practice
Supplementary materials in the e-book including solutions to many problems, data sets, and brand-new explanatory videos covering the key concepts and examples from each chapter.
Time Series Analysis and Forecasting is ideal for graduate and advanced undergraduate courses in the areas of data science and analytics and forecasting and time series analysis. It is also an outstanding reference for practicing data scientists.

Table of contents

Siobhan Roberts

The Man Who Saved Geometry:
The Multidimensional Mind of Donald Coxeter

Overview

An illuminating biography of one of the greatest geometers of the twentieth century

Driven by a profound love of shapes and symmetries, Donald Coxeter (1907・003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential contributions include the famed Coxeter groups and Coxeter diagrams, tools developed through his deep understanding of mathematical symmetry. The Man Who Saved Geometry tells the story of Coxeter life and work, placing him alongside history greatest geometers, from Pythagoras and Plato to Archimedes and Euclidnd it reveals how Coxeter boundless creativity reflects the adventurous, ever-evolving nature of geometry itself. With an incisive, touching foreword by Douglas R. Hofstadter, The Man Who Saved Geometry is an unforgettable portrait of a visionary mathematician.

Praise

magine you grew up as a super fan of a musician or artist who made your world make sense, but in this case it the mathematician who inspired the titanic artists of the era. You crawled through libraries to trace every last little scrap of their work, the deep tracks. You grew up in a weird hippie geometric house inspired by their insights. You spent hours internalizing shapes that were hard to imagine, that they were the first to describe. And then this book, which brings the person into focus. Imagine your heart beating just a little faster as you open this book. That is what will happen.aron Lanier, computer scientist, author, composer, pioneer of virtual reality

someone much of whose academic research has been on algebraic structures discovered by, and named after, Donald Coxeter, I found this book an absolute joy. Siobhan Roberts has a rare gift for biography. Her narrative is full of compelling anecdotes and her writing on complex topics is beautifully clear. This is a fabulous book!arah Hart, author of Once upon a Prime

here is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry.rian Greene, author of The Elegant Universe

here is no substitute for Coxeter, and no substitute for this long-overdue treatment of his life.ordan Ellenberg, Washington Post

iobhan Roberts has achieved something extraordinary with this book, a paean to a geometer and all geometry. It tells a brave, compelling story. It comprehends a whole universeur universef kaleidoscopes and crystals, groups and symmetry, bicycles and snowflakes, music and movement. It is lucid, beautiful, and exalting.ames Gleick, author of Chaos

The Man Who Saved Geometry] offers poignant looks into Coxeter soul.effrey Rosenthal, Globe and Mail

elegant biography of an elegant man.ohn Horton Conway, Princeton University


Siobhan Roberts

Genius at Play:
The Curious Mind of John Horton Conway

A multifaceted biography of a brilliant mathematician and iconoclast

Overview

A mathematician unlike any other, John Horton Conway (1937020) possessed a rock star charisma, a polymath promiscuous curiosity, and a sly sense of humor. Conway found fame as a barefoot professor at Cambridge, where he discovered the Conway groups in mathematical symmetry and the aptly named surreal numbers. He also invented the cult classic Game of Life, a cellular automaton that demonstrates how simplicity generates complexitynd provides an analogy for mathematics and the entire universe. Moving to Princeton in 1987, Conway used ropes, dice, pennies, coat hangers, and the occasional Slinky to illustrate his winning imagination and share his nerdish delights. Genius at Play tells the story of this ambassador-at-large for the beauties and joys of mathematics, lays bare Conway personal and professional idiosyncrasies, and offers an intimate look into the mind of one of the twentieth century most endearing and original intellectuals.

Praise

oberts has written a very unusual book about a very unusual subject. Her chronicling of Conway life is interwoven with her narration of the adventure she undertook in trying to capture his story. The result is a wonderful biography that brings this bewildering, fascinating, and utterly charming mathematical genius back to lifengrid Daubechies, Duke University

virtuoso juggling of narrative speeds, reminiscences, implausible digressions and long passages of precise, comprehensible mathematics.ichael Harris, Nature

akes you laugh with surprise.ordan Ellenberg, Wall Street Journal

delightful metabiographylayful indeedf a brilliant iconoclast.ames Gleick, author of The Information and Time Travel

Edited by Marianna Bosch, Edited by Kristina Markulin, Edited by Yves Chevallard, Edited by Berta Barquero, Edited by Noem Ruiz-Munzn, Edited by Ignasi Florensa

Extended Abstracts 2022:
Proceedings of the 7th International Conference on the Anthropological Theory of the Didactic (CITAD7)

Format: Hardback, height x width: 235x155 mm, 120 Illustrations, black and white; Approx. 575 p. 120 illus., 1 Hardback
Series: Research Perspectives CRM Barcelona 16
Pub. Date: 22-Jun-2024
ISBN-13: 9783031559389

Description

This book includes contributions from the conference held in Barcelona in 2022. It brings together researchers interested in the Anthropological Theory of the Didactic (ATD) and aims at the following objectives: Establishing an updated overview of the results and progress in the ATD, concerning both basic research and the development of education systems, including teacher education; Developing a research programme around the most relevant open problems, either related to difficulties affecting education systems or the development of didactics as a scientific discipline; Identifying and studying the specific problems raised by the extension of the ATD conceptual and methodological tools to other fields. The conference is structured around the following thematic axis: Axis 1: Development of the foundations, tools and aims of research in the framework of the ATD ・Axis 2: The Curriculum Problem and the paradigm of questioning the world ・Axis 3: ATD and the professionalization of the teaching profession.

Table of Contents

What is Questioning the World? Towards an Epistemological and Curricular Break.- Problematic Issues Regarding Didactic Paradigms.- The Paradidactic: A (would-be) Fundamental Theory of Noospheres.- About a Didactic Model of Reference for the Teacher Position.- Study vs Learning: Mesogenesis and the Denial of the Didactic.- Is it the Same Twelfth? Questioning an Unquestioned Principle.- About the Mapping of Personal Practice Paths in the ATD.

Abhishek Mishra

Special Integrals

Format: Hardback, 372 pages, height x width: 235x155 mm, 1 Illustrations, color; 5 Illustrations, black and white; X, 365 p., 1 Hardback
Series: University Texts in the Mathematical Sciences
Pub. Date: 11-Dec-2024
ISBN-13: 9789819775132

Description

Targeted to upper-undergraduate and graduate students of mathematics, this book discusses special integrals and their applications in finding certain series sums. It starts with the differentiation and the integration methods for summing a series that is applied to find the sum of various binomial and trigonometrical series. It also discusses methods to find the sum of series involving the variables having exponents in integral or fractional powers of 2. Complex variables are freely used to derive several theorems, which result in several special integrals and series sums. Bessel coefficients, Bessel functions, and their various generalizations are also discussed in the book. As a particular case of generalized Bessel functions, pseudo-exponential functions are defined, and their properties are studied in the book. Broadly divided into two partsPart 1 and Part 2the book has six chapters in Part 1, whereas Part 2 has six chapters on solutions to the problems in Part 1. To understand the topics in the book, the minimum prerequisites are the knowledge of calculus, complex analysis, and Fourier series.

Table of Contents

Binomial Series.- Trigonometrical Series.- Special
Integrals.- Pseudo-Exponential Functions.- Series Sums using Special
Integrals.- Solutions to Binomial Series.- Solutions to Trigonometrical
Series.