| Author | : Michael Spivak |
| Publisher | : Mathematical Association of America (MAA) |
| Total Pages | : 132 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : |
The Hitchhiker's Guide to Calculus
| Author | : Michael Spivak |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 130 |
| Release | : 2019-01-24 |
| Genre | : Mathematics |
| ISBN | : 1470449625 |
The Hitchhiker's Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In the next chapter he tackles speed and velocity, followed by the derivative of sine. Maxima and minima are next. Rolle's theorem and the MVT form the core of Chapter 11, "Watching Experts at Play." The Hitchhiker's Guide to Calculus closes with a chapter on the integral, the fundamental theorem, and applications of the integral.
Infinite Dimensional Analysis
| Author | : Charalambos D. Aliprantis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 692 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662039613 |
This book presents functional analytic methods in a unified manner with applications to economics, social sciences, and engineering. Ideal for those without an extensive background in the area, it develops topology, convexity, Banach lattices, integration, correspondences, and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs and will interest researchers and students who will find the material readily applicable to problems in control theory and economics.
3D Math Primer for Graphics and Game Development, 2nd Edition
| Author | : Fletcher Dunn |
| Publisher | : CRC Press |
| Total Pages | : 848 |
| Release | : 2011-11-02 |
| Genre | : Computers |
| ISBN | : 1568817231 |
This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry
| Author | : George F. Simmons |
| Publisher | : Wipf and Stock Publishers |
| Total Pages | : 129 |
| Release | : 2003-01-14 |
| Genre | : Religion |
| ISBN | : 1592441300 |
ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.
Calculus on Manifolds
| Author | : Michael Spivak |
| Publisher | : Westview Press |
| Total Pages | : 164 |
| Release | : 1965 |
| Genre | : Science |
| ISBN | : 9780805390216 |
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
So Long, and Thanks for All the Fish
| Author | : Douglas Adams |
| Publisher | : Del Rey |
| Total Pages | : 206 |
| Release | : 2008-12-30 |
| Genre | : Fiction |
| ISBN | : 0307497909 |
Now celebrating the 42nd anniversary of The Hitchhiker’s Guide to the Galaxy, soon to be a Hulu original series! “A madcap adventure . . . Adams’s writing teeters on the fringe of inspired lunacy.”—United Press International Back on Earth with nothing more to show for his long, strange trip through time and space than a ratty towel and a plastic shopping bag, Arthur Dent is ready to believe that the past eight years were all just a figment of his stressed-out imagination. But a gift-wrapped fishbowl with a cryptic inscription, the mysterious disappearance of Earth’s dolphins, and the discovery of his battered copy of The Hitchhiker’s Guide to the Galaxy all conspire to give Arthur the sneaking suspicion that something otherworldly is indeed going on. God only knows what it all means. Fortunately, He left behind a Final Message of explanation. But since it’s light-years away from Earth, on a star surrounded by souvenir booths, finding out what it is will mean hitching a ride to the far reaches of space aboard a UFO with a giant robot. What else is new? “The most ridiculously exaggerated situation comedy known to created beings . . . Adams is irresistible.”—The Boston Globe
A Programmer's Introduction to Mathematics
| Author | : Jeremy Kun |
| Publisher | : |
| Total Pages | : 400 |
| Release | : 2020-05-17 |
| Genre | : |
| ISBN | : |
A Programmer's Introduction to Mathematics uses your familiarity with ideas from programming and software to teach mathematics. You'll learn about the central objects and theorems of mathematics, including graphs, calculus, linear algebra, eigenvalues, optimization, and more. You'll also be immersed in the often unspoken cultural attitudes of mathematics, learning both how to read and write proofs while understanding why mathematics is the way it is. Between each technical chapter is an essay describing a different aspect of mathematical culture, and discussions of the insights and meta-insights that constitute mathematical intuition. As you learn, we'll use new mathematical ideas to create wondrous programs, from cryptographic schemes to neural networks to hyperbolic tessellations. Each chapter also contains a set of exercises that have you actively explore mathematical topics on your own. In short, this book will teach you to engage with mathematics. A Programmer's Introduction to Mathematics is written by Jeremy Kun, who has been writing about math and programming for 10 years on his blog "Math Intersect Programming." As of 2020, he works in datacenter optimization at Google.The second edition includes revisions to most chapters, some reorganized content and rewritten proofs, and the addition of three appendices.
