Presents over 500 intensive exercises on calculus
Recalls important definitions, theorems, and concepts in all chapters
Discusses topics on set theory, numbers, functions, limits and continuity,
derivative, integral calculus, Roll's theorem, mean value theorem,
optimization problems, sequences, and series
This book includes over 500 most challenging exercises and problems in calculus. Topical
problems and exercises are discussed on set theory, numbers, functions, limits and continuity,
derivative, integral calculus, Rolle’s theorem, mean value theorem, optimization problems,
sequences and series. All the seven chapters recall important definitions, theorems and
concepts, making this book immensely valuable to undergraduate students of engineering,
mathematics, statistics, computer science and basic sciences
Due 2021-01-14
1st ed. 2020, IX, 380 p. 77 illus., 71 illus. in color.
Hardcover
ISBN 978-981-15-9568-4
Product category : Undergraduate textbook
Mathematics : Analysis
Highly interdisciplinary - drawing from statistics, health services, economics,
and informatics
Goes beyond the formulas, explaining why different methods work, how to
choose from among them, and how to avoid misinterpreting results - to
create confident users of appropriate analytic methods
Addresses topical questions such as data science versus statistics, prediction
versus explanation
Provides a wide range of analytic and regression-type models specific to
research questions about health care use and costs of care
In-depth discussion on selection bias in observational data methods for
inferring causality
Students and researchers in the health sciences are faced with greater opportunity and
challenge than ever before. The opportunity stems from the explosion in publicly available data
that simultaneously informs and inspires new avenues of investigation. The challenge is that
the analytic tools required go far beyond the standard methods and models of basic statistics.
This textbook aims to equip health care researchers with the most important elements of a
modern health analytics toolkit, drawing from the fields of statistics, health econometrics, and
data science. This textbook is designed to overcome students’ anxiety about data and
statisticsand to help them to become confident users of appropriate analytic methods for
health care research studies.Methods are presented organically, with new material building
naturally on what has come before. Each technique is motivated by a topical research question,
explained in non-technical terms, and accompanied by engaging explanations and examples. In
this way, the authors cultivate a deep (“organic”) understanding of a range of analytic
techniques, their assumptions and data requirements, and their advantages and limitations.
They illustrate all lessons via analyses of real data from a variety of publicly available
databases, addressing relevant research questions and comparing findings to those of
published studies
Due 2021-01-23
1st ed. 2020, XV, 255 p. 65
illus., 43 illus. in color.
Hardcover
ISBN 978-3-030-59888-4
Product category : Graduate/advanced undergraduate textbook
Series : Springer Texts in Statistics
Statistics : Statistics for Life Sciences, Medicine, Health Sciences
Provides an approach to the theory starting from real numbers
Includes original exercises that highlight interesting aspects of the theory
Presents elegant proofs
This book presents a compact and self-contained introduction to the theory of measure and
integration. The introduction into this theory is as necessary (because of its multiple
applications) as difficult for the uninitiated. Most measure theory treaties involve a large
amount of prerequisites and present crucial theoretical challenges. By taking on another
approach, this textbook provides less experienced readers with material that allows an easy
access to the definition and main properties of the Lebesgue integral. The book will be
welcomed by upper undergraduate/early graduate students who wish to better understand
certain concepts and results of probability theory, statistics, economic equilibrium theory, game
theory, etc., where the Lebesgue integral makes its presence felt throughout. The book can
also be useful to students in the faculties of mathematics, physics, computer science,
engineering, life sciences, as an introduction to a more in-depth study of measure theory
Due 2020-12-22
1st ed. 2020, X, 225 p. 8 illus.
Softcover
ISBN 978-3-030-60162-1
Product category : Graduate/advanced undergraduate textbook
Series : Compact Textbooks in Mathematics
Mathematics : Real Functions
This book is open access, which means that you have free and unlimited
access
Demystifies quantum computing, using only high school physics
Bridges the gap between popular science articles and advanced textbooks
Adaptable for courses ranging from high school to college
This open access book makes quantum computing more accessible than ever before. A fastgrowing
field at the intersection of physics and computer science, quantum computing
promises to have revolutionary capabilities far surpassing “classical” computation. Getting a grip
on the science behind the hype can be tough: at its heart lies quantum mechanics, whose
enigmatic concepts can be imposing for the novice. This classroom-tested textbook uses simple
language, minimal math, and plenty of examples to explain the three key principles behind
quantum computers: superposition, quantum measurement, and entanglement. It then goes on
to explain how this quantum world opens up a whole new paradigm of computing. The book
bridges the gap between popular science articles and advanced textbooks by making key ideas
accessible with just high school physics as a prerequisite. Each unit is broken down into
sections labelled by difficulty level, allowing the course to be tailored to the student’s
experience of math and abstract reasoning. Problem sets and simulation-based labs of various
levels reinforce the concepts described in the text and give the reader hands-on experience
running quantum programs. This book can thus be used at the high school level after the AP
or IB exams, in an extracurricular club, or as an independent project resource to give students
a taste of what quantum computing is really about. At the college level, it can be used as a
supplementary text to enhance a variety of courses in science and computing, or as a selfstudy
guide for students who want to get ahead. Additionally, readers in business, finance, or
industry will find it a quick and useful primer on the science behind computing’s future.
Due 2021-02-01
1st ed. 2021, X, 340 p. 133 illus., 98 illus. in color.
Hardcover
ISBN 978-3-030-61600-7
Product category : Undergraduate textbook
Physics : Quantum Physics
Proportional and Non-Proportional Hazards Regression
Summaries and exercises included in every chapter
Extensive appendices provided on probability, stochastic processes, and
simulating data
Many of the advances of the last ten years, not covered elsewhere, are given
prominence in this book
This book provides an extensive coverage of the methodology of survival analysis, ranging from
introductory level material to deeper more advanced topics. The framework is that of
proportional and non-proportional hazards models; a structure that is broad enough to enable
the recovery of a large number of established results as well as to open the way to many new
developments. The emphasis is on concepts and guiding principles, logical and graphical.
Formal proofs of theorems, propositions and lemmas are gathered together at the end of each
chapter separate from the main presentation. The intended audience includes academic
statisticians, biostatisticians, epidemiologists and also researchers in these fields whose focus
may be more on the applications than on the theory. The text could provide the basis for a two
semester course on survival analysis and, with this goal in mind, each chapter includes a
section with a range of exercises as a teaching aid for instructors.
Due 2021-01-19
1st ed. 2020, XIII, 503 p.
59 illus., 13 illus. in color.
Hardcover
ISBN 978-3-030-33438-3
Product category : Graduate/advanced undergraduate textbook
Mathematics : Mathematical Modeling and Industrial Mathematics
Presents Lie theory from its fundamental principles, as a special class of
groups that are studied using differential and integral calculus methods
Offers several exercises at the end of each chapter, to check and reinforce
comprehension
Each chapter of the book begins with a general, straightforward introduction
to the concepts covered, before the formal definitions are presented
This textbook provides an essential introduction to Lie groups, presenting the theory from its
fundamental principles. Lie groups are a special class of groups that are studied using
differential and integral calculus methods. As a mathematical structure, a Lie group combines
the algebraic group structure and the differentiable variety structure. Studies of such groups
began around 1870 as groups of symmetries of differential equations and the various
geometries that had emerged. Since that time, there have been major advances in Lie theory,
with ramifications for diverse areas of mathematics and its applications. Each chapter of the
book begins with a general, straightforward introduction to the concepts covered; then the
formal definitions are presented; and end-of-chapter exercises help to check and reinforce
comprehension. Graduate and advanced undergraduate students alike will find in this book a
solid yet approachable guide that will help them continue their studies with confidence.
Due 2021-01-23
1st ed. 2020, X, 380 p. 20 illus.
Hardcover
ISBN 978-3-030-61823-0
Product category : Graduate/advanced undergraduate textbook
Series : Latin American Mathematics Series
Mathematics : Topological Groups, Lie Groups
Focuses on interactions of complex analysis with number theory
Supplements suitable solved examples and problems with all chapters
Is authored by the winner of the Shanti Swarup Bhatnagar Prize for Science
and Technology
The book discusses major topics in complex analysis with applications to number theory. This
book is intended as a text for graduate students of mathematics and undergraduate students
of engineering, as well as to researchers in complex analysis and number theory. This theory is
a prerequisite for the study of many areas of mathematics, including the theory of several
finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds
and number theory. In additional to solved examples and problems, the book covers most of
the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann?Zeta
function, Dirichlet theorem,gammafunction and harmonic functions.
1st ed. 2020, XVI, 287 p. 14 illus.
Hardcover
ISBN 978-981-15-9096-2
Product category : Graduate/advanced undergraduate textbook
Series : Infosys Science Foundation Series in Mathematical Sciences
Mathematics : Analysis