The Art of Mathematics


Jerry P. King - 1992
    Jerry King is no exception. His informal, nontechnical book, as its title implies, is organized around what Bertrand Russell called the 'supreme beauty' of mathematics--a beauty 'capable of a stern perfection such as only the greatest art can show.'NATUREIn this clear, concise, and superbly written volume, mathematics professor and poet Jerry P. King reveals the beauty that is at the heart of mathematics--and he makes that beauty accessible to all readers. Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, THE ART OF MATHEMATICS explores the difference between real, rational, and complex numbers; analyzes the intellectual underpinnings of pure and applied mathematics; and reveals the fundamental connection between aesthetics and mathematics. King also sheds light on how mathematicians pursue their research and how our educational system perpetuates the damaging divisions between the two cultures.

My Brain is Open: The Mathematical Journeys of Paul Erdős


Bruce Schechter - 1998
    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

My Master


Vivekananda - 2012
    In the lecture Vivekananda clearly told, if there was even a single word of truth, a single word of spirituality in his lectures he owed it to his Master — Ramakrishna, only the mistakes were his own. Swami Vivekananda (12 January 1863 – 4 July 1902), born Narendra Nath Datta, was an Indian Hindu monk and chief disciple of the 19th-century saint Ramakrishna. He was a key figure in the introduction of the Indian philosophies of Vedanta and Yoga to the Western world and is credited with raising interfaith awareness, bringing Hinduism to the status of a major world religion during the late 19th century. He was a major force in the revival of Hinduism in India, and contributed to the concept of nationalism in colonial India. Vivekananda founded the Ramakrishna Math and the Ramakrishna Mission. He is perhaps best known for his speech which began, "Sisters and brothers of America ...," in which he introduced Hinduism at the Parliament of the World's Religions in Chicago in 1893. Born into an aristocratic Bengali family of Calcutta, Vivekananda was inclined towards spirituality. He was influenced by his guru, Ramakrishna, from whom he learnt that all living beings were an embodiment of the divine self; therefore, service to God could be rendered by service to mankind. After Ramakrishna's death, Vivekananda toured the Indian subcontinent extensively and acquired first-hand knowledge of the conditions prevailing in British India. He later travelled to the United States, representing India at the 1893 Parliament of the World Religions. Vivekananda conducted hundreds of public and private lectures and classes, disseminating tenets of Hindu philosophy in the United States, England and Europe. In India, Vivekananda is regarded as a patriotic saint and his birthday is celebrated there as National Youth Day.

Cambridge IGCSE Biology Coursebook [with CD-ROM]


Mary Jones - 2009
    Written by an experienced teacher and examiner, Cambridge IGCSE Biology Workbook helps students build the skills required in both their theory and practical examinations. The exercises in this write-in workbook help to consolidate understanding and get used to using knowledge in new situations, develop information handling and problem solving skills, and develop experimental skills including planning investigations and interpreting results. This accessible book encourages students to engage with the material. The answers to the exercises can be found on the Teacher's Resource CD-ROM.

Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession


Apostolos Doxiadis - 1992
    His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.

What If?: Randall Munroe | Serious Scientific Answers to Absurd Hypothetical Questions | Summary & Takeaways


Brief Books - 2015
     This book is a supplement to What If? and intended to enhance the experience of reading the original book. We recommend purchasing the full version of What If? on Amazon in addition to this book. Introduction What If? Serious Scientific Answers to Absurd Hypothetical Questions presents a wide variety of questions covering a range of dubious potentialities and the results which would ensue should they become reality. The questions are collected from author Randall Munroe’s website, where they are sent in by readers of his blog. Some of the questions are conceptual, for example how much force would be required for Yoda to lift an X-fighter, others are in a more serious vein. All of the answers however are based on research and the application of scientific principles by the author, himself trained in physics and a former roboticist for NASA. Benefits Spend less time reading and more time enjoying your favorite books. Discover important details you may have missed the first time. Review key concepts in an easy-to-understand and efficient manner. Use as a reference or "cheat sheet" to quickly access important information. Pick up where you left off with the original book. Focus only on critical information and eliminate unnecessary details. Buy Now Buy Now: Only $2.99 (Save $3.00 or 50%, Regular Price: $5.99) Money Back Guarantee: If you are not 100% satisfied with your purchase, simply return it to Amazon within 7 days of purchase for a full refund. Go to Your Account -> Manage Your Content and Devices -> Find the Book -> Return for Full Refund. Read Now: Your book will be delivered to your Kindle device or free Kindle software automatically.

The Calendar


David Ewing Duncan - 1998
    The year 2000 is alternatively the year 2544 (Buddhist), 6236 (Ancient Egyptian), 5761 (Jewish) or simply the Year of the Dragon (Chinese). The story of the creation of the Western calendar, which is related in this book, is a story of emperors and popes, mathematicians and monks, and the growth of scientific calculation to the point where, bizarrely, our measurement of time by atomic pulses is now more accurate than time itself: the Earth is an elderly lady and slightly eccentric - she loses half a second a century. Days have been invented (Julius Caesar needed an extra 80 days in 46BC), lost (Pope Gregory XIII ditched ten days in 1582) and moved (because Julius Caesar had 31 in his month, Augustus determined that he should have the same, so he pinched one from February).

Birth of a Theorem: A Mathematical Adventure


Cédric Villani - 2012
    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

New Additional Mathematics


Ho Soo Thong
    

How to Prove It: A Structured Approach


Daniel J. Velleman - 1994
    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

Engineering Mathematics


K.A. Stroud - 2001
    Fully revised to meet the needs of the wide range of students beginning engineering courses, this edition has an extended Foundation section including new chapters on graphs, trigonometry, binomial series and functions and a CD-ROM

Flow


Philip Ball - 2008
    It is the complex dynamics of flow that structures our atmosphere, land, and oceans.Part of a trilogy of books exploring the science of patterns in nature by acclaimed science writer Philip Ball, this volume explores the elusive rules that govern flow - the science of chaotic behavior.

Mathematical Mysteries: The Beauty and Magic of Numbers


Calvin C. Clawson - 1996
    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

Calculus, Better Explained: A Guide To Developing Lasting Intuition


Kalid Azad - 2015
     Learn the essential concepts using concrete analogies and vivid diagrams, not mechanical definitions. Calculus isn't a set of rules, it's a specific, practical viewpoint we can apply to everyday thinking. Frustrated With Abstract, Mechanical Lessons? I was too. Despite years of classes, I didn't have a strong understanding of calculus concepts. Sure, I could follow mechanical steps, but I had no lasting intuition. The classes I've seen are too long, taught in the wrong order, and without solid visualizations. Here's how this course is different: 1) It gets to the point. A typical class plods along, saving concepts like Integrals until Week 8. I want to see what calculus can offer by Minute 8. Each compact, tightly-written lesson can be read in 15 minutes. 2) Concepts are taught in their natural order. Most classes begin with the theory of limits, a technical concept discovered 150 years after calculus was invented. That's like putting a new driver into a Formula-1 racecar on day 1. We can begin with the easy-to-grasp concepts discovered 2000 years ago. 3) It has vivid analogies and visualizations. Calculus is usually defined as the "study of change"... which sounds like history or geology. Instead of an abstract definition, we'll see calculus a step-by-step viewpoint to explore patterns. 4) It's written by a human, for humans. I'm not a haughty professor or strict schoolmarm. I'm a friend who saw a fun way to internalize some difficult ideas. This course is a chat over coffee, not a keep-your-butt-in-your-seat lecture. The goal is to help you grasp the Aha! moments behind calculus in hours, not a painful semester (or a decade, in my case). Join Thousands Of Happy Readers Here's a few samples of anonymous feedback as people went through the course. The material covers a variety of levels, whether you're looking for intuitive appreciation or the specifics of the rules. "I've done all of this stuff before, and I do understand calculus intuitively, but this was the most fun I've had going through this kind of thing. The informal writing and multitude of great analogies really helps this become an enjoyable read and the rest is simple after that - you make this seem easy, but at the same time, you aren't doing it for us…This is what math education is supposed to be like :)" "I have psychology and medicine background so I relate your ideas to my world. To me the most useful idea was what each circle production feels like. Rings are natural growth…Slices are automatable chunks and automation cheapens production… Boards in the shape on an Arch are psychologically most palatable for work (wind up, hard part, home stretch). Brilliant and kudos, from one INTP to another." "I like how you're introducing both derivatives and integrals at the same time - it's really helps with understanding the relationship between them. Also, I appreciate how you're coming from such a different angle than is traditionally taken - it's always interesting to see where you decide to go next." "That was breathtaking. Seriously, mail my air back please, I've grown used to it. Beautiful work, thank you. Lesson 15 was masterful. I am starting to feel calculus. "d/dx is good" (sorry, couldn't resist!)."

Darknet: A Beginner's Guide to Staying Anonymous


Lance Henderson - 2012
    This book covers it all! Encrypting your private files, securing your PC, masking your online footsteps, and all while giving you peace of mind with TOTAL 100% ANONYMITY. Don't waste months scouring the internet for info. Just read this! You'll be hooked in five minutes. It's all here: CIA techniques, how the NSA catches Tor users, Truecrypt and the FBI, nuking tracking cookies, private browsing, preventing identity theft. I will show you: -How to Be Anonymous Online -Step by Step Guides for Tor, Freenet, I2P, VPNs, Usenet and more -Browser Fingerprinting -Anti-Hacking and Counter-Forensic Techniques -Photo & Video Metadata -How to Encrypt Files (I make this super simple) -How to Defeat NSA Spying -How to Browse the Deep Web -How to Protect Your Identity -How to Hide Anything! You've probably read How to Be Invisible by J. J. Luna and Incognito Toolkit by Rob Robideau, and while they are fine books, you need this companion piece to take it to the next level!