Conceptual Mathematics: A First Introduction to Categories


F. William Lawvere - 1997
    Written by two of the best-known names in categorical logic, Conceptual Mathematics is the first book to apply categories to the most elementary mathematics. It thus serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.

Thriller 25th Anniversary: The Book, Celebrating the Biggest Selling Album of All Time


Michael Jackson - 2008
    THRILLER - the music, the videos, the looks and the dance moves that changed music forever. February 12th, 2008 saw the release of Michael Jackson's Thriller album in a special 25th anniversary edition featuring all classic Thriller hits digitally remastered, a bonus DVD with Jackson's electrifying appearances and dance moves from the Thriller era PLUS brand-new tracks and remixes of Thriller's biggest hits with guest stars such as Akon, Fergie, Kanye West, and will.i.am. Now, the party continues: THRILLER 25th Anniversary - The Book celebrates the iconic King of Pop and the world's biggest selling album of all time. More than 180 exclusive, high quality, digitally remastered and glossy photographs make this book a visual journey back to the iconic times of Thriller: Behind the scenes in the studio recording THRILLER, making the revolutionary short films, being on a victorious tour, Grammy's most glorious night, and much more. FEAT. EXCLUSIVE INTERVIEWS: Quincy Jones (Executive Producer, Thriller); Rod Temperton (Songwriter, Thriller); John Landis (Director, Thriller - The Short Film); Tamara Conniff (Editiorial Director, BILLBOARD); Matt Forger (Sound Engineer, Thriller); Bruce Swedien (Sound Engineer, Thriller); Bob Giraldi (Director, Beat It); and many more. ALSO: The stories behind the Thriller songs, unreleased songs from the Thriller recording sessions, hand-written lyrics by Michael Jackson, hand-written notes from the studio sessions, poems by Michael Jackson, and much more.

Shriver & Atkins' Inorganic Chemistry


Peter Atkins - 2009
    Its unique 'Frontiers' chapters cover materials science, nanotechnology, catalysis, and biological inorganic chemistry, and have been fully updated to reflect advances in these key areas of contemporary research and industrial application.

Introduction to Graph Theory


Douglas B. West - 1995
    Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs. For those who need to learn to make coherent arguments in the fields of mathematics and computer science.

Numerical Optimization


Jorge Nocedal - 2000
    One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Introduction to Statistical Quality Control


Douglas C. Montgomery - 1985
    It provides comprehensive coverage of the subject from basic principles to state-of-art concepts and applications. The objective is to give the reader a sound understanding of the principles and the basis for applying them in a variety of both product and nonproduct situations. While statistical techniques are emphasized throughout, the book has a strong engineering and management orientation. Guidelines are given throughout the book for selecting the proper type of statistical technique to use in a wide variety of product and nonproduct situations. By presenting theory, and supporting the theory with clear and relevant examples, Montgomery helps the reader to understand the big picture of important concepts. Updated to reflect contemporary practice and provide more information on management aspects of quality improvement.

Coding the Matrix: Linear Algebra through Computer Science Applications


Philip N. Klein - 2013
    Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program"

Principles to Actions: Ensuring Mathematical Success for All


National Council of Teachers of Mathematics - 2014
    What will it take to turn this opportunity into reality in every classroom, school, and district? Continuing its tradition of mathematics education leadership, NCTM has defined and described the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students. Principles to Actions: Ensuring Mathematical Success for All offers guidance to teachers, specialists, coaches, administrators, policymakers, and parents: Builds on the Principles articulated in Principles and Standards for School Mathematics to present six updated Guiding Principles for School MathematicsSupports the first Guiding Principle, Teaching and Learning, with eight essential, research-based Mathematics Teaching PracticesDetails the five remaining Principles--the Essential Elements that support Teaching and Learning as embodied in the Mathematics Teaching PracticesIdentifies obstacles and unproductive and productive beliefs that all stakeholders must recognize, as well as the teacher and student actions that characterize effective teaching and learning aligned with the Mathematics Teaching PracticesWith Principles to Actions, NCTM takes the next step in shaping the development of high-quality standards throughout the United States, Canada, and worldwide.

The Magic Mirror of M.C. Escher


Bruno Ernst - 1976
    Escher, I am absolutely crazy about your work. In your print Reptiles you have given such a striking illustration of reincarnation.' I replied, 'Madame, if that's the way you see it, so be it, '" An engagingly sly comment by the renowned Dutch graphic artist Maurits Cornelis Escher (1898-1972)--the complex ambiguities of whose work leave hasty or single-minded interpretations far behind. Long before the first computer-generated 3-D images were thrilling the public, Escher was a master of the third dimension. His lithograph "Magic Mirror" dates as far back as 1946. In taking that title for this book, mathematician Bruno Ernst is stressing the magic spell Escher's work invariably casts on those who see it. Ernst visited Escher every week for a year, systematically talking through his entire oeuvre with him. Their discussions resulted in a friendship that gave Ernst intimate access to the life and conceptual world of Escher. Ernst's account was meticulously scrutinized and made accurate by the artist himself. Escher's work refuses to be pigeonholed. Scientific, psychological, or aesthetic criteria alone cannot do it justice. The questions remain. Why did he create the pictures? How did he construct them? What preliminary studies were necessary before he could arrive at the final version? And how are the various images Escher created interrelated? This book, complete with biographical data, 250 illustrations, and explications of mathematical problems, offers answers to these and many other questions, and is an authentic source text of the first order.

Communication Systems


Simon Haykin - 1978
    In addition to being the most up-to-date communications text available, Simon Haykin has added MATLAB computer experiments.

Introduction to Probability


Dimitri P. Bertsekas - 2002
    This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, least squares estimation, the bivariate normal distribution, and a fairly detailed introduction to Bernoulli, Poisson, and Markov processes. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems. The book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements


John R. Taylor - 1982
    It is designed as a reference for students in the physical sciences and engineering.

Ronan O'Gara: Unguarded: My Life in Rugby


Ronan O'Gara - 2013
         Ronan O'Gara has been at the heart of Munster and Irish rugby for the past fifteen years. Now, as he comes to the end of a glittering playing career, it is time for him to reflect on those many successes and occasional failures with the straight-talking attitude that has become his trademark. Never one to shy away from the truth, the result is Ronan O'Gara: Unguarded.     Packed full of anecdotes and analysis of the teammates O'Gara has been proud to share the shirt with, and of the coaches he has played under -- often in controversial circumstances -- this is the definitive record of an era when Munster rose to triumph in Europe, and Ireland to win the Grand Slam, before crashing down to earth again. It is simply the must-have rugby book of the year.

Algebra


Michael Artin - 1991
    Linear algebra is tightly integrated into the text.

Count Down: Six Kids Vie for Glory at the World's Toughest Math Competition


Steve Olson - 2004
    Steve Olson followed the six 2001 contestants from the intense tryouts to the Olympiad’s nail-biting final rounds to discover not only what drives these extraordinary kids but what makes them both unique and typical. In the process he provides fascinating insights into the science of intelligence and learning and, finally, the nature of genius. Brilliant, but defying all the math-nerd stereotypes, these teens want to excel in whatever piques their curiosity, and they are curious about almost everything — music, games, politics, sports, literature. One team member is ardent about both water polo and creative writing. Another plays four musical instruments. For fun and entertainment during breaks, the Olympians invent games of mind-boggling difficulty. Though driven by the glory of winning this ultimate math contest, they are in many ways not so different from other teenagers, finding pure joy in indulging their personal passions. Beyond the the Olympiad, Olson sheds light on many questions, from why Americans feel so queasy about math, to why so few girls compete in the subject, to whether or not talent is innate. Inside the cavernous gym where the competition takes place, Count Down uncovers a fascinating subculture and its engaging, driven inhabitants.