Translation and Commentary
Offers English readers the very first complete translation of Jamshd al-Ksh’s
historic book on arithmetic
Provides new insights into the history of mathematics
Contains scans of the source manuscript next to the translation, which serve
to highlight the meticulousness of the translation
Jamshd al-Ksh’s Mift al-isab (Key to Arithmetic) was largely unknown to researchers until the
mid-20th century, and has not been translated to English until now. This is the second book in
a multi-volume set that finally brings al-Ksh’s groundbreaking textbook to English audiences in
its entirety. As soon as it was studied by modern researchers, it changed some false
assumptions about the history of certain topics in mathematics. Written as a textbook for
students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a
wide range of topics in arithmetic, geometry, and algebra. By sharing al-Ksh’s most
comprehensive work with a wider audience, this book will help establish a more complete
history of mathematics, and extend al-Ksh’s influence into the 21st century and beyond. The
book opens by briefly recounting al-Ksh’s biography, so as to situate readers in the work’s rich
historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his
contributions to both mathematics and astronomy. As a master calculator and astronomer, alKsh’s
calculations of 2 and sin(1) were by far the most accurate for almost two centuries. His
law of cosines is still studied in schools today. This translation contributes to the
understanding and appreciation of al-Ksh’s esteemed place in the scientific world.
A side-byside presentation of the source manuscript?one of the oldest known copies?and the English
translation is provided on each page. Detailed footnotes are also provided throughout, which
will offer readers an even deeper look at the text’s mathematical and historical basis.
1st ed. 2020, VIII, 195 p.
120 illus., 89 illus. in color.
Hardcover
ISBN 978-3-030-61329-7
Product category : Monograph
Mathematics : History of Mathematics
The Geometry of Imprecise Probabilities
Introduce an original view of belief calculus and uncertainty theory
Suitable for researchers in artificial intelligence, statistics, and applied
science engaged with theories of uncertainty
Supported with the most comprehensive bibliography on belief and
uncertainty theory.
The principal aim of this book is to introduce to the widest possible audience an original view
of belief calculus and uncertainty theory. In this geometric approach to uncertainty, uncertainty
measures can be seen as points of a suitably complex geometric space, and manipulated in
that space, for example, combined or conditioned. In the chapters in Part I, Theories of
Uncertainty, the author offers an extensive recapitulation of the state of the art in the
mathematics of uncertainty. This part of the book contains the most comprehensive summary
to date of the whole of belief theory, with Chap. 4 outlining for the first time, and in a logical
order, all the steps of the reasoning chain associated with modelling uncertainty using belief
functions, in an attempt to provide a self-contained manual for the working scientist. In
addition, the book proposes in Chap. 5 what is possibly the most detailed compendium
available of all theories of uncertainty. Part II, The Geometry of Uncertainty, is the core of this
book, as it introduces the author’s own geometric approach to uncertainty theory, starting with
the geometry of belief functions: Chap. 7 studies the geometry of the space of belief functions,
or belief space, both in terms of a simplex and in terms of its recursive bundle structure; Chap.
8 extends the analysis to Dempster’s rule of combination, introducing the notion of a
conditional subspace and outlining a simple geometric construction for Dempster’s sum; Chap.
9 delves into the combinatorial properties of plausibility and commonality functions, as
equivalent representations of the evidence carried by a belief function; then Chap. 10 starts
extending the applicability of the geometric approach to other uncertainty measures, focusing
in particular on possibility measures (consonant belief functions) and the related notion of a
consistent belief function
Due 2021-02-11
1st ed. 2021, XXV, 850 p.
Hardcover
ISBN 978-3-030-63152-9
Product category : Monograph
Series : Artificial Intelligence: Foundations, Theory, and Algorithms
Computer Science : Artificial Intelligence
Solutions
Solving Real-World Problems Using Quantum Computing and Algorithms
Teaches you how to design and develop your own quantum solutions
Shows you how to implement popular quantum algorithms in an appropriate
context in real life
Demonstrates how quantum algorithms speed up machine learning and
algorithms compared to classical ones
Know how to use quantum computing solutions involving artificial intelligence (AI) algorithms
and applications across different disciplines. Quantum solutions involve building quantum
algorithms that improve computational tasks within quantum computing, AI, data science, and
machine learning. As opposed to quantum computer innovation, quantum solutions offer
automation, cost reduction, and other efficiencies to the problems they tackle. Starting with the
basics, this bookcovers subsystems and properties as well as the information processing
network before covering quantum simulators. Solutions such as the Traveling Salesman
Problem, quantum cryptography, scheduling, and cybersecurity are discussed in step-by-step
detail. The book presents code samples based on real-life problems in a variety of industries,
such as risk assessment and fraud detection in banking. In pharma, you will look at drug
discovery and protein-folding solutions. Supply chain optimization and purchasing solutions are
presented in the manufacturing domain. In the area of utilities, energy distribution and
optimization problems and solutions are explained. Advertising scheduling and revenue
optimization solutions are included from media and technology verticals. What You Will Learn
Understand the mathematics behind quantum computing Know the solution benefits, such as
automation, cost reduction, and efficiencies Be familiar with the quantum subsystems and
properties, including states, protocols, operations, and transformations Be aware of the
quantum classification algorithms: classifiers, and support and sparse support vector machines
Use AI algorithms, including probability, walks, search, deep learning, and parallelism Who This
Book Is For Developers in Python and other languages interested in quantum solutions. The
secondary audience includes IT professionals and academia in mathematics and physics. A
tertiary audience is those in industry verticals such as manufacturing, banking, and pharma.
Due 2021-01-06
1st ed., XVII, 300 p. 131 illus.
ISBN 978-1-4842-6515-4
Product category : Professional book
Computer Science : Big Data
Gathers together some of the most ingenious mathematical puzzles ever
created
Celebrates the lifetime achievement of Nobuyuki “Nob” Yoshigahara, world
renowned for designing math and mechanical puzzles
Helps to develop students’ skills in problem-solving in a fun and creative way
This book convenes a selection of 200 mathematical puzzles with original solutions, all
celebrating the inquisitive and inspiring spirit of Nobuyuki “Nob” Yoshigahara ? a legend in the
worldwide community of mathematical and mechanical puzzles. A graduate from the Tokyo
Institute of Technology, Yoshigahara invented numerous mechanical puzzles and published
over 80 puzzle books. In 2003, he was honored with the Sam Loyd Award, given by the
Association for Games & Puzzles International to individuals who have been made a significant
contribution to the world of mechanical puzzles. In this work, the reader will find some of the
most ingenious puzzles ever created, organized in ten categories: Logic, matchstick, maze,
algorithmic, combinatorial, digital, number, geometric, dissection, and others. Some of them
could rivalry with those found at Mathematical Olympiads tests around the globe; others will
work as powerful brain teasers for those with an interest in problem-solving. Math teachers,
curious students of any age and even experienced mathematicians with a taste for the fun in
science can find in this book unconventional paths to develop their problem-solving skills in a
creative way.
Due 2021-02-06
1st ed. 2020, XVII, 170 p. 132 illus.
Hardcover
ISBN 978-3-030-62895-6
Product category : Undergraduate textbook
Series : Problem Books in Mathematics
Mathematics : Mathematics (general)
An accessible account of of Noether’s life and work written for a general
audience
Based on historical research and new archival sources
Demonstrates how Emmy Noether promoted modern algebra through her
international school
Provides historical background to the play "Diving into Math with Emmy
Noether"
The name Emmy Noether is one of the most celebrated in the history of mathematics. A
brilliant algebraist and iconic figure for women in modern science, Noether exerted a strong
influence on the younger mathematicians of her time and long thereafter; today, she is known
worldwide as the "mother of modern algebra." Drawing on original archival material and recent
research, this book follows Emmy Noether’s career from her early years in Erlangen up until
her tragic death in the United States. After solving a major outstanding problem in Einstein’s
theory of relativity, she was finally able to join the Gottingen faculty in 1919. Proving It Her
Way offers a new perspective on an extraordinary career, first, by focusing on important figures
in Noether’s life and, second, by showing how she selflessly promoted the careers of several
other talented individuals. By exploring her mathematical world, it aims to convey the
personality and impact of a remarkable mathematician who literally changed the face of
modern mathematics, despite the fact that, as a woman, she never held a regular
professorship. Written for a general audience, this study uncovers the human dimensions of
Noether’s key relationships with a younger generation of mathematicians. Thematically, the
authors took inspiration from their cooperation with the ensemble portraittheater Vienna in
producing the play "Diving into Math with Emmy Noether." Four of the young mathematicians
portrayed in Proving It Her Way ? B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and
Olga Taussky ? also appear in "Diving into Math."
1st ed. 2020, XIX, 241 p. 30 illus., 25 illus. in color.
Softcover
Includes a new chapter on the study of composition operators on the Hardy
spaces
Combines different aspects of Dirichlet series in a way not presented before
in other publications
Constructs rigorous mathematical approach towards Diophantine
approximation and Dirichlet series
The second edition of the book includes a new chapter on the study of composition operators
on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book
is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their
composition operators, and connections between these two domains which often occur through
the Kronecker approximation theorem and the Bohr lift. The book initially discusses Harmonic
analysis, including a sharp form of the uncertainty principle, Ergodic theory and Diophantine
approximation, basics on continued fractions expansions, and the mixing property of the Gauss
map and goes on to present the general theory of Dirichlet series with classes of examples
connected to continued fractions, Bohr lift, sharp forms of the Bohnenblust?Hille theorem,
Hardy?Dirichlet spaces, composition operators of the Hardy?Dirichlet space, and much more.
Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis, number
theory, and ergodic theory, featuring the richness of analytic theory of Dirichlet series.
This selfcontained book benefits beginners as well as researchers.
Due 2021-01-27
2nd ed. 2020, XII, 282 p. 5 illus.
Hardcover
ISBN 978-981-15-9350-5
Product category : Monograph
Series : Texts and Readings in Mathematics
Mathematics : Mathematics (general)