Introduces statistics and data science students to classical and modern
statistical concepts
Features detailed derivations and explanations of complex statistical methods
Includes statistical tools for applied data science, e.g. for missing data or causality
This textbook provides a comprehensive introduction to statistical principles, concepts and
methods that are essential in modern statistics and data science. The topics covered include
likelihood-based inference, Bayesian statistics, regression, statistical tests and the quantification
of uncertainty. Moreover, the book addresses statistical ideas that are useful in modern data
analytics, including bootstrapping, modeling of multivariate distributions, missing data analysis,
causality as well as principles of experimental design. The textbook includes sufficient material
for a two-semester course and is intended for master’s students in data science, statistics and
computer science with a rudimentary grasp of probability theory. It will also be useful for data
science practitioners who want to strengthen their statistics skills.
Due 2021-11-01
1st ed. 2021, X, 390 p. 87 illus., 10 illus. in color.
Hardcover : ISBN 978-3-030-69826-3
Product category : Graduate/advanced undergraduate textbook
Series : Springer Series in Statistics
Statistics : Statistical Theory and Methods
Presents a detailed explanation of a classic work in modern physics
Offers a quick understanding of the fundamental questions of quantum theory
Important supplement to all textbooks on quantum mechanics
The work published by Einstein, Podolsky and Rosen (EPR) in 1935 is a classic in modern
physics. It discusses, for the first time, the central feature of the quantum theory:
entanglement. In general, systems are intertwined with each other in nature; that is, they have
only one common, non-divisible state. This fact is responsible for all the oddities commonly
associated with quantum theory, including the famous thought experiments with Schrodinger’s
cat and Wigner’s friend. The entanglement of quantum mechanics plays a central role in
experiments with atoms and photons (Nobel Prize 2012 for Haroche and Wineland) and the
planned construction of quantum computers. This book presents EPR’s original work amplified
with a detailed commentary, which examines both the historical context and all aspects of
entanglement. In particular, it focuses on the interpretation of quantum theory and its
consequences for a basic understanding of nature.
Due 2021-11-02
1st ed. 2021, X, 100 p. 7 illus., 2 illus. in color.
Hardcover : ISBN 978-3-030-47036-4
Product category : Contributed volume
Series : Classic Texts in the Sciences
History : History of Science
Presents not only theoretical results, but gives real-life technical applications of number theory
Illustrates the close connection between number theory, graph theory, the
theory of groups, and geometry
Suitable not only for scientists, but also for non-professionals who want to
feel the joy of mathematics
This book provides an overview of many interesting properties of natural numbers,
demonstrating their applications in areas such as cryptography, geometry, astronomy,
mechanics, computer science, and recreational mathematics. In particular, it presents the main
ideas of error-detecting and error-correcting codes, digital signatures, hashing functions,
generators of pseudorandom numbers, and the RSA method based on large prime numbers. A
diverse array of topics is covered, from the properties and applications of prime numbers, some
surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and
Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind
Prague’s astronomical clock. Introducing a general mathematical audience to some of the
basic ideas and algebraic methods connected with various types of natural numbers, the book
will provide invaluable reading for amateurs and professionals alike.
Due 2021-10-27
1st ed. 2021, XV, 338 p. 81 illus., 15 illus. in color.
Hardcover : ISBN 978-3-030-83898-0
Product category : Popular science
Mathematics : Number Theory
Addresses an increasing demand to learn about Hawkes processes across
multiple disciplines
Features color-blind-friendly illustrations
Models a wide range of self-exciting phenomena, from earthquakes to financial contagions
Hawkes processes are studied and used in a wide range of disciplines: mathematics, social
sciences, and earthquake modelling, to name a few. This book presents a selective coverage of
the core and recent topics in the broad field of Hawkes processes. It consists of three parts.
Parts I and II summarise and provide an overview of core theory (including key simulation
methods) and inference methods, complemented by a selection of recent research
developments and applications. Part III is devoted to case studies in seismology and finance
that connect the core theory and inference methods to practical scenarios. This book is
designed primarily for applied probabilists, statisticians, and machine learners. However, the
mathematical prerequisites have been kept to a minimum so that the content will also be of
interest to undergraduates in advanced mathematics and statistics, as well as machine learning
practitioners. Knowledge of matrix theory with basics of probability theory, including Poisson
processes, is considered a prerequisite. Colour-blind-friendly illustrations are included.
Due 2021-11-05
1st ed. 2021, IV, 240 p. 121illus., 119 illus. in color.
Hardcover : ISBN 978-3-030-84638-1
Product category : Monograph
Statistics : Statistical Theory and Methods
Presents the recent development of Lie group analysis and applications of
differential equations
Provides works collected in the memory of Professor Nail H. Ibragimov (1939-2018)
Introduces new methods and applications in linear and nonlinear differential equations
This book is about Lie group analysis of differential equations for physical and engineering
problems. The topics include: -- Approximate symmetry in nonlinear physical problems --
Complex methods for Lie symmetry analysis -- Lie group classication, Symmetry analysis, and
conservation laws -- Conservative difference schemes -- Hamiltonian structure and conservation
laws of three-dimensional linear elasticity -- Involutive systems of partial differential equations
This collection of works is written in memory of Professor Nail H. Ibragimov (1939?2018). It
could be used as a reference book in differential equations in mathematics, mechanical, and
electrical engineering.
Due 2021-11-09
1st ed. 2021, XVI, 269 p. 20 illus. in color.
Hardcover : ISBN 978-981-16-4682-9
Product category : Contributed volume
Series : Nonlinear Physical Science
Mathematics : Analysis
Features accompanying R code for most included examples
Addresses readers seeking detailed explanations of methodology
Unique in its discussion of the application of Bayesian optimization to
computer experiments
This book introduces readers to Bayesian optimization, highlighting advances in the field and
showcasing its successful applications to computer experiments. R code is available as online
supplementary material for most included examples, so that readers can better comprehend
and reproduce methods. Compact and accessible, the volume is broken down into four
chapters. Chapter 1 introduces the reader to the topic of computer experiments; it includes a
variety of examples across many industries. Chapter 2 focuses on the task of surrogate model
building and contains a mix of several different surrogate models that are used in the
computer modeling and machine learning communities. Chapter 3 introduces the core
concepts of Bayesian optimization and discusses unconstrained optimization. Chapter 4 moves
on to constrained optimization, and showcases some of the most novel methods found in the
field. This will be a useful companion to researchers and practitioners working with computer
experiments and computer modeling. Additionally, readers with a background in machine
learning but minimal background in computer experiments will find this book an interesting
case study of the applicability of Bayesian optimization outside the realm of machine learning.
Due 2021-11-06
1st ed. 2021, X, 104 p. 64 illus., 56 illus. in color.
Softcover : ISBN 978-3-030-82457-0
Product category : Brief
Series : SpringerBriefs in Statistics
Statistics : Bayesian Inference
Numerous step-by-step tutorials help the reader to learn quickly
A special chapter on next generation Flash prepares readers for the future
Includes ten tips on how to protect flash sites from hackers
Besides their well-known value in number theory, continued fractions are also a useful tool in
modern numerical applications and computer science. The goal of the book is to revisit the
almost forgotten classical theory and to contextualize it for contemporary numerical
applications and signal processing, thus enabling students and scientist to apply classical
mathematics on recent problems. The books tries to be mostly self-contained and to make the
material accessible for all interested readers. This provides a new view from an applied
perspective, combining the classical recursive techniques of continued fractions with orthogonal
problems, moment problems, Prony’s problem of sparse recovery and the design of stable
rational filters, which are all connected by continued fractions
1st ed. 2021, XVII, 263 p. 12 illus., 3 illus. in color.
Hardcover :: ISBN 978-3-030-84359-5
Product category : Graduate/advanced undergraduate textbook
Series : Springer Undergraduate Texts in Mathematics and Technology
Mathematics : Numerical Analysis