The Mathematical Investigations of Dr. O and Arya


Book Description

"A playful approach to some core ideas of mathematics, this book will help lay the foundation for understanding algebra and probability. Dr. O and his young associate Arya explore and discover ideas in ciphers, triangular numbers, primes and composites, probability, and a variety of fascinating number patterns. For a parent and curious child, or for a curious child alone, these mathematical investigations will invite re-reading and further exploration."--Back cover.




Probability and Simulation


Book Description

This undergraduate textbook presents an inquiry-based learning course in stochastic models and computing designed to serve as a first course in probability. Its modular structure complements a traditional lecture format, introducing new topics chapter by chapter with accompanying projects for group collaboration. The text addresses probability axioms leading to Bayes’ theorem, discrete and continuous random variables, Markov chains, and Brownian motion, as well as applications including randomized algorithms, randomized surveys, Benford’s law, and Monte Carlo methods. Adopting a unique application-driven approach to better study probability in action, the book emphasizes data, simulation, and games to strengthen reader insight and intuition while proving theorems. Additionally, the text incorporates codes and exercises in the Julia programming language to further promote a hands-on focus in modelling. Students should have prior knowledge of single variable calculus. Giray Ökten received his PhD from Claremont Graduate University. He has held academic positions at University of Alaska Fairbanks, Ball State University, and Florida State University. He received a Fulbright U.S. Scholar award in 2015. He is the author of an open access textbook in numerical analysis, First Semester in Numerical Analysis with Julia, published by Florida State University Libraries, and a co-author of a children’s math book, The Mathematical Investigations of Dr. O and Arya, published by Tumblehome. His research interests include Monte Carlo methods and computational finance.




Mathematical Recreations and Essays


Book Description

Mathematical Recreations and Essays W. W. Rouse Ball For nearly a century, this sparkling classic has provided stimulating hours of entertainment to the mathematically inclined. The problems posed here often involve fundamental mathematical methods and notions, but their chief appeal is their capacity to tease and delight. In these pages you will find scores of "recreations" to amuse you and to challenge your problem-solving faculties-often to the limit. Now in its 13th edition, Mathematical Recreations and Essays has been thoroughly revised and updated over the decades since its first publication in 1892. This latest edition retains all the remarkable character of the original, but the terminology and treatment of some problems have been updated and new material has been added. Among the challenges in store for you: Arithmetical and geometrical recreations; Polyhedra; Chess-board recreations; Magic squares; Map-coloring problems; Unicursal problems; Cryptography and cryptanalysis; Calculating prodigies; ... and more. You'll even find problems which mathematical ingenuity can solve but the computer cannot. No knowledge of calculus or analytic geometry is necessary to enjoy these games and puzzles. With basic mathematical skills and the desire to meet a challenge you can put yourself to the test and win. "A must to add to your mathematics library."-The Mathematics Teacher We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.




Design of Structural Elements


Book Description

This third edition of a popular textbook is a concise single-volume introduction to the design of structural elements in concrete, steel, timber, masonry, and composites. It provides design principles and guidance in line with both British Standards and Eurocodes, current as of late 2007. Topics discussed include the philosophy of design, basic structural concepts, and material properties. After an introduction and overview of structural design, the book is conveniently divided into sections based on British Standards and Eurocodes.




Inventors, Makers, Barrier Breakers


Book Description

What does it take to change the world? This book provides inspiring, in-depth stories of more than 25 diverse American inventors and entrepreneurs from Colonial times to the present. Richly illustrated with photographs in color and black-and-white, Inventors, Makers, Barrier Breakers focuses on the process of invention, its joys and frustrations, social progress, and the obstacles each inventor had to overcome.




An Episodic History of Mathematics


Book Description

A series of snapshots of the history of mathematics from ancient times to the twentieth century.




Jake and the Quake


Book Description

When Jake finds an unusual rock in the cliffs under the Golden Gate bridge, he embarks on an adventure of discovery that will bring him new friends, new knowledge, and even the confidence to face a devastating earthquake.




Forensic Engineering 2009


Book Description

This proceedings contains 82 papers presented at the 5th ASCE Forensic Engineering Congress, held in Washington, D.C., November 11 14, 2009. The conference was sponsored by the ASCE Technical Council on Forensic Engineering whose mission is to develop practices and procedures to reduce the number of failures, to disseminate information on failures, and to provide guidelines for conducting failure investigations and for ethical conduct. Forensic Engineering 2009: Pathology of the Built Environment includes papers that examine case studies, investigation approach and methodology, expert witnessing, ethics, standard of care, non-destructive evaluation, and education in forensic engineering. This book will be valuable to engineers, professionals, researchers, educators, and students involved in forensic engineering.