Mathematics: From the Birth of Numbers


Jan Gullberg - 1997
    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

Understanding Analysis


Stephen Abbott - 2000
    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

God Created the Integers: The Mathematical Breakthroughs That Changed History


Stephen Hawking - 2005
    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

What If? Serious Scientific Answers to Absurd Hypothetical Questions


Randall Munroe - 2014
    It now has 600,000 to a million page hits daily. Every now and then, Munroe would get emails asking him to arbitrate a science debate. 'My friend and I were arguing about what would happen if a bullet got struck by lightning, and we agreed that you should resolve it . . . ' He liked these questions so much that he started up What If. If your cells suddenly lost the power to divide, how long would you survive? How dangerous is it, really, to be in a swimming pool in a thunderstorm? If we hooked turbines to people exercising in gyms, how much power could we produce? What if everyone only had one soulmate?When (if ever) did the sun go down on the British empire? How fast can you hit a speed bump while driving and live?What would happen if the moon went away?In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos, solves differential equations, and consults with nuclear reactor operators. His responses are masterpieces of clarity and hilarity, studded with memorable cartoons and infographics. They often predict the complete annihilation of humankind, or at least a really big explosion. Far more than a book for geeks, WHAT IF: Serious Scientific Answers to Absurd Hypothetical Questions explains the laws of science in operation in a way that every intelligent reader will enjoy and feel much the smarter for having read.

The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry


Mario Livio - 2005
    Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

The Lincoln Obsession: The Author of Manhunt Chases Down His Own Lincoln Obsession


James L Swanson - 2021
    Taking listeners behind the scenes of his research, Swanson discusses the origins of his boyhood passion for Lincoln, including his first visits to Springfield, Illinois, and Ford’s Theatre as a high school student; accounts for Booth’s movements during the manhunt; reveals how he authenticates Lincoln blood relics; and offers details about historic sites that remain little-known or obscure. Swanson describes the intrigue he continues to pursue - the women who aided Booth, lingering questions regarding other conspirators, and a timeline for both Lincoln and the conspirators on the night of April 14, 1865. The Lincoln Obsession is a uniquely personal look at how historical places and relics will forever shed new light on the first presidential assassination in America.

Do Overs: A Time Travel Thriller of Sudden Second Chances


Jon Spoelstra - 2015
    And then when you take it--wham--you are faced with a savage choice of do-overs to correct past blunders. Roy Hobbs blew the cash windfall from his best-seller book. Gone was his money, and then his wife Rachel was murdered with the killer never found. Roy chose to pick up the pieces, riding into his sunset as a crime reporter in a smaller market. Then a weird stranger made him a freaky offer. The stranger would pay Roy the same money as his best-seller book in return for Roy to write a book for the stranger. The subject of the book would be secret until after Roy makes a decision. Big payday or walk away?Roy chose big money, and his life hurled into a dimension he could have never imagined. It was there that he faced the most savage do-over that would re-invent his life in stunning ways.Could he truly have do-overs on his biggest mistakes in life? Would he make those same mistakes again, this time knowing the consequences? Could a do-over allow him to rescue Rachel and put an end to the killings?Roy Hobbs wouldn’t be writing this strange new book, he would be living it, and the ending could kill him and kill Rachel again and again.This is a trip you gotta take. You won't guess the twists and turns, and probably not even the final destination, but you'll certainly have fun. Take the trip today.

Realm of numbers


Isaac Asimov - 1959
    Mathematics, Applied & Natural Sciences

Proofs from the Book, 3e


Martin Aigner - 1998
    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry


George F. Simmons - 1981
    . . 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. 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.

Multiple View Geometry in Computer Vision


Richard Hartley - 2000
    This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms. First Edition HB (2000): 0-521-62304-9

Introduction to Linear Algebra


Gilbert Strang - 1993
    Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation. The self-teaching book is loaded with examples and graphics and provides a wide array of probing problems, accompanying solutions, and a glossary. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.

Storm


Rae B. Lake - 2021
    That is, until the day I was forced to give up my patch to save my brother. He tried to kill us, he betrayed us, he’s our enemy... but he’s still my twin brother, and that bond means something to me. I broke my vow to my club but I had no choice. I couldn’t let them kill him. We fled to the other side of the world looking for a way out of the shit storm he brought down on our heads. To me, it was all about escape and redemption, but to him everything was a game. When his latest victim turns out to be a woman, I should walk away. Once again I don't have a choice when she calls to me, her very presence wrapping around me and singing to my blood like a fucking goddess I can't escape from. Saving her might be the only chance I have of reclaiming the parts of my soul that my brother destroyed. Even if it means I have to go home and face the brothers I chose to leave behind.DuoThey fucking kidnapped me because of who my father is in the Juric crime family. I’ve been kidnapped before so this isn’t anything new, not really. What I’m not used to is the insane extent his brother will go to get what he wants. I know I shouldn’t trust Storm. I shouldn’t crave his touch or the promise in his eyes as much as I do, but he may be the only one who can get me back to safety. The only one who can save me from his brother. Every mile back to the Wings of Diablo clubhouse I become more attached to this savage brute of a man and more convinced that it’s not just me who needs to be saved.

All the Math You'll Ever Need: A Self-Teaching Guide


Stephen L. Slavin - 1989
    In adollars-and-cents, bottom-line world, where numbers influenceeverything, none of us can afford to let our math skills atrophy.This step-by-step personal math trainer:Refreshes practical math skills for your personal andprofessional needs, with examples based on everyday situations. Offers straightforward techniques for working with decimals and fractions. Demonstrates simple ways to figure discounts, calculatemortgage interest rates, and work out time, rate, and distance problems. Contains no complex formulas and no unnecessary technical terms.

The Millennium Problems


Keith Devlin - 2002
    For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.