Mathematics

Guerrilla Data Analysis Using Microsoft Excel: Covering Excel 2010/2013, 2nd Edition by Bill Jelen, Oz du Soleil

Casuality, Correlation and Artificial Intelligence for Rational Decision Making by Tshilidzi Marwala

Introductory Statistics, 9th Edition by Prem S. Mann

Dieter Rasch, Dieter Schott, “Mathematical Statistics”

Universal Themes of Bose-Einstein Condensation

Guerrilla Data Analysis Using Microsoft Excel: Covering Excel 2010/2013, 2nd Edition by Bill Jelen, Oz du Soleil

English | May 1st, 2015 | ISBN: 1615470336 | 180 pages | EPUB | 12.88 MB

This book includes step-by-step examples and case studies that teach users the many power tricks for analyzing data in Excel. These are tips honed by Bill Jelen, “MrExcel,” and Oz do Soleil during their careers run as a financial analyst charged with taking mainframe data and turning it into useful information quickly. Topics include data quality, validation, perfectly sorting with one click every time, matching lists of data, data consolidation, data subtotals, pivot tables, pivot charts, tables and much more.

Casuality, Correlation and Artificial Intelligence for Rational Decision Making by Tshilidzi Marwala

English | January 2nd, 2015 | ASIN: B00RVK0SEA, ISBN: 9814630861 | 208 pages | EPUB | 3.22 MB

Causality has been a subject of study for a long time. Often causality is confused with correlation. Human intuition has evolved such that it has learned to identify causality through correlation. In this book, four main themes are considered and these are causality, correlation, artificial intelligence and decision making.

A correlation machine is defined and built using multi-layer perceptron network, principal component analysis, Gaussian Mixture models, genetic algorithms, expectation maximization technique, simulated annealing and particle swarm optimization. Furthermore, a causal machine is defined and built using multi-layer perceptron, radial basis function, Bayesian statistics and Hybrid Monte Carlo methods. Both these machines are used to build a Granger non-linear causality model.

In addition, the Neyman Rubin, Pearl and Granger causal models are studied and are unified. The automatic relevance determination is also applied to extend Granger causality framework to the non-linear domain. The concept of rational decision making is studied, and the theory of flexibly-bounded rationality is used to extend the theory of bounded rationality within the principle of the indivisibility of rationality. The theory of the marginalization of irrationality for decision making is also introduced to deal with satisficing within irrational conditions. The methods proposed are applied in biomedical engineering, condition monitoring and for modelling interstate conflict.

Readership: Graduate students, researchers and professionals in the field of artificial intelligence.

Introductory Statistics, 9th Edition by Prem S. Mann

2016 | ISBN: 1119148324, 1119055717 | English | 640 pages | PDF | 11 MB

Introductory Statistics, 9th Edition is written for a one or two semester first course in applied statistics and is intended for students who do not have a strong background in mathematics. The only prerequisite is knowledge of elementary algebra. Introductory Statistics is known for its realistic examples and exercises, clarity and brevity of presentation, and soundness of pedagogical approach.

Dieter Rasch, Dieter Schott, “Mathematical Statistics”

2018 | ISBN-10: 1119385288 | 688 pages | PDF | 12 MB

Explores mathematical statistics in its entirety—from the fundamentals to modern methods

This book introduces readers to point estimation, confidence intervals, and statistical tests. Based on the general theory of linear models, it provides an in-depth overview of the following: analysis of variance (ANOVA) for models with fixed, random, and mixed effects; regression analysis is also first presented for linear models with fixed, random, and mixed effects before being expanded to nonlinear models; statistical multi-decision problems like statistical selection procedures (Bechhofer and Gupta) and sequential tests; and design of experiments from a mathematical-statistical point of view. Most analysis methods have been supplemented by formulae for minimal sample sizes. The chapters also contain exercises with hints for solutions.

Translated from the successful German text, Mathematical Statistics requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables), which is typically taught in the earlier semesters of scientific and mathematical study courses. It teaches readers all about statistical analysis and covers the design of experiments. The book also describes optimal allocation in the chapters on regression analysis. Additionally, it features a chapter devoted solely to experimental designs.

Classroom-tested with exercises included

Practice-oriented (taken from day-to-day statistical work of the authors)

Includes further studies including design of experiments and sample sizing

Presents and uses IBM SPSS Statistics 24 for practical calculations of data

Mathematical Statistics is a recommended text for advanced students and practitioners of math, probability, and statistics.

Universal Themes of Bose-Einstein Condensation

Cambridge | English | 2017 | ISBN-10: 1107085691 | 660 pages | PDF | 32.92 mb

by Nick P. Proukakis (Editor), David W. Snoke (Editor), Peter B. Littlewood (Editor)

Following an explosion of research on Bose-Einstein condensation (BEC) ignited by demonstration of the effect by 2001 Nobel prize winners Cornell, Wieman and Ketterle, this book surveys the field of BEC studies. Written by experts in the field, it focuses on Bose-Einstein condensation as a universal phenomenon, covering topics such as cold atoms, magnetic and optical condensates in solids, liquid helium and field theory. Summarising general theoretical concepts and the research to date – including novel experimental realisations in previously inaccessible systems and their theoretical interpretation – it is an excellent resource for researchers and students in theoretical and experimental physics who wish to learn of the general themes of BEC in different subfields.