Format: Paperback / softback, 141 pages, height x width: 235x155 mm, 147 Illustrations, color; 105 Illustrations, black and
white; Approx. 160 p. With online files/update., 1 Paperback / softback
Pub. Date: 07-Dec-2024
ISBN-13: 9783662698891
This book illustrates key mathematical aspects of the Golden Ratio: It particularly delves into geometric and number
theoretical connections and examples, and makes further considerations and generalizations accessible.
The book is primarily aimed at students, pupils, mathematics teachers, and interested laypeople. It is modular in structure,
so the individual chapters can be read independently of one another. The reading is intended to encourage one's own
geometric activities. Tips and procedural hints from the craft-creative realm are also provided.
Supplementary animations can be accessed with the SN More Media App: simply download the SN More Media App for free,
scan a picture or link with the play button, and immediately play the animation on your smartphone or tablet.
The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms
of content.
Preface.- What is it about?- Golden Geometry.- Golden Angles.- Folding and Cutting.- Number Sequences.- Regular and
Related Solids.- Examples.- Literature.
Format: Hardback, 336 pages, height x width: 235x155 mm, 46 Illustrations, black and white; XV, 315 p., 1 Hardback
Series: Computer Science Foundations and Applied Logic
Pub. Date: 11-Dec-2024
ISBN-13: 9783031685378
This unique book offers an introductory course on category theory, which became a working language in algebraic
geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created.
Offering excellent use of helpful examples in Haskell, the work covers (among other things) concepts of functors, natural
transformations, monads, adjoints, universality, category equivalence, and many others. The main goal is to understand the
Yoneda lemma, which can be used to reverse-engineer the implementation of a function. Later chapters offer more
insights into computer science, including computation with output, nondeterministic computation, and continuation passing.
Contains rigorous mathematical arguments to support the theory Provides numerous Haskell code-implementing examples
Engages with plentiful diagram chasing, with special emphasis on the design patterns for constructing a large diagram out
of basic small pieces Offers insights into category theory to quantum computing and the foundation of computing discipline
Serves as a preparatory course for monoidal categories and higher categories
The work will be useful to undergraduate students in computer science who have enough background in college
mathematics such as linear algebra and basics in Haskell polymorphic functions. Further, it will appeal to graduate students
and researchers in computing disciplines who want to newly acquire serious knowledge of category theory.
1. Catetory, Functor, Natural Transformation.- 2. Equivalence of categories.-
3. Universality and Limits.- 4. Functors and Limits.-
5. Adjoints.- 6. Monads.- 7. Representable Functors.
Format: Hardback, 1970 pages, height x width: 254x178 mm, 120 Illustrations, color; 33 Illustrations, black and white; XXX,
1970 p. 153 illus., 120 illus. in color. In 2 volumes, not available separately., 2 hardbacks
Pub. Date: 03-Jan-2025
ISBN-13: 9783662693582
The International Encyclopedia of Statistical Science stands as a monumental effort to enrich statistics education globally,
particularly in regions facing educational challenges. By amalgamating the expertise of over 700 authors from 110
countries, including Nobel Laureates and presidents of statistical societies, it offers an unparalleled resource for readers
worldwide. This encyclopedia is not just a collection of entries; it is a concerted effort to revive statistics as a vibrant,
critical field of study and application. Providing a comprehensive and accessible account of statistical terms, methods, and
applications, it enables readers to gain a quick insight into the subject, regardless of their background. This work serves to
refresh and expand the knowledge of researchers, managers, and practitioners, highlighting the relevance and applicability
of statistics across various fields, from economics and business to healthcare and public policy. Furthermore, it aims to
inspire students by demonstrating the significance of statistics in solving real-world problems, thus encouraging a new
generation to explore and contribute to the field.
A nonparametric approach to extreme value statistics.- A note on tests
of independence.- A STATISTICAL VIEW OF INFORMATION THEORY.- A TOUR ON
RELIABILITY.- ABSOLUTE PENALTY ESTIMATION.- ACCELERATED LIFETIME TESTING.-
Acceptance Sampling Plans.- ACTUARIAL METHODS.- ADAPTIVE LINEAR REGRESSION.-
ADAPTIVE METHODS.- ADAPTIVE SAMPLING.
*
Format: Hardback, 689 pages, height x width: 235x155 mm, 162 Illustrations, color; 8 Illustrations, black and white; Approx.
560 p., 1 Hardback
Series: Springer Texts in Statistics
Pub. Date: 15-Dec-2024
ISBN-13: 9783031705830
This 5th edition of this popular graduate textbook presents a balanced and comprehensive treatment of both time and
frequency domain methods with accompanying theory. It includes numerous examples using nontrivial data illustrate
solutions to problems such as discovering natural and anthropogenic climate change, evaluating pain perception
experiments using functional magnetic resonance imaging, and monitoring a nuclear test ban treaty. The R package astsa
has had major updates and the text will reflect those updates. In general, the graphics have been improved. New topics
include random number generation, modeling and fitting predator-prey interactions, more emphasis on structural models,
testing for linearity, discussion of EM algorithm is more extensive, Bayesian analysis of state space models and MCMC is
more extensive (including new scripts in astsa), particle methods are introduced, stochastic volatility coverage is expanded,
changepoint detection is introduced (new topic).
The book is designed as a textbook for graduate level students in the physical, biological, and social sciences and as a
graduate level text in statistics. Some parts may also serve as an undergraduate introductory course. Theory and
methodology are separated to allow presentations on different levels. In addition to coverage of classical methods of time
series regression, ARIMA models, spectral analysis and state-space models, the text includes modern developments
including categorical time series analysis, multivariate spectral methods, long memory series, nonlinear models, resampling
techniques, GARCH models, ARMAX models, stochastic volatility, and Markov chain Monte Carlo integration methods.
This edition includes R code for each numerical example.
1. Characteristics of Time Series.- 2. Time Series Regression and
Exploratory Data Analysis.- 3. ARIMA Models.- 4. Spectral Analysis and
Filtering.- 5. Additional Time Domain Topics.- 6. State-Space Models.-
7. Statistical Methods in the Frequency Domain.- 8. Appendix A: Large Sample
Theory.- Appendix B: Time Domain Theory.- Appendix C: Spectral Domain
Theory.- Appendix R: R Supplement.
Pages: 512
ISBN: 978-981-12-9552-2 (hardcover)
ISBN: 978-981-12-9554-6 (ebook)
This book evolved from our lectures in the advanced algebra courses at Nanjing University. It is intended for use by
instructors and undergraduate students in a one-year advanced algebra course.
The topics covered in this book consist of integers and polynomials, determinants and matrices, linear systems, linear
spaces, linear maps, λ-matrices, quadratic forms, inner product spaces, and bilinear forms.
There are sufficient well-selected exercises of a wide range to provide ample practice, expand coverage of topics treated
in the text, and challenge the strongest students.
Our objective is to prepare students with a solid foundation for pursuing advanced mathematics. We hope that the material
presented here will interest the students and help them ask their own questions, look for their own examples, and discover
their own proofs.
Integers and Polynomials
Determinants and Matrices
Linear Systems
Linear Spaces
Linear Maps
EMatrices
Quadratic Forms
Inner Product Spaces
Bilinear Forms
A textbook for the undergraduate advanced algebra course; a reference for teaching advanced or linear algebra course