The transition from school mathematics to university mathematics is seldom straightforward Students are faced with a disconnect between the algorithmic & informal attitude to mathematics at school versus a new emphasis on proof based on logic & a more abstract development of general concepts based on set theory The authors have many years' experience of the potential difficulties involved through teaching first-year undergraduates & researching the ways in which students & mathematicians think The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics & explicitly suggests ways students can make sense of formal ideas This second edition takes a significant step forward by not only making the transition from intuitive to formal methods but also by reversing the process- using structure theorems to prove that formal systems have visual & symbolic interpretations that enhance mathematical thinking This is exemplified by a new chapter on the theory of groups While the first edition extended counting to infinite cardinal numbers the second also extends the real numbers rigorously to larger ordered fields This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis The approach here is not the conventional one of 'nonstandard analysis' but a simpler graphically based treatment which makes the notion of an infinitesimal natural & straightforward This allows a further vision of the wider world of mathematical thinking in which formal definitions & proof lead to amazing new ways of defining proving visualising & symbolising mathematics beyond previous expectations ...

Please note this is a region B Blu-ray & will require a region B or region free Blu-ray player in order to play The incredible true story of how Ray Kroc (Academy Award nominee Michael Keaton Spotlight Birdman) a salesman from Illinois met Mac (John Carroll Lynch Jackie) & Dick Mc Donald (Nick Offerman 22 Jump Street) who were running a burger operation in 1950s Southern California So impressed by the brothers& &speedy system& Kroc risked his marriage bankruptcy & his reputation to create a billion-dollar empire that revolutionised the world Actors Michael Keaton Linda Cardellini Patrick Wilson Nick Offerman John Carroll Lynch Directors John Lee Hancock Writers Robert D Siegel Producers Don Handfield Jeremy Renner Aaron Ryder Language English Number of discs 1 ...

Please note this is a region 2 DVD & will require a region 2 or region free DVD player in order to play The incredible true story of how Ray Kroc (Academy Award nominee Michael Keaton Spotlight Birdman) a salesman from Illinois met Mac (John Carroll Lynch Jackie) & Dick Mc Donald (Nick Offerman 22 Jump Street) who were running a burger operation in 1950s Southern California So impressed by the brothers& &speedy system& Kroc risked his marriage bankruptcy & his reputation to create a billion-dollar empire that revolutionized the world Actors Michael Keaton Linda Cardellini Patrick Wilson Nick Offerman John Carroll Lynch Directors John Lee Hancock Writers Robert D Siegel Producers Don Handfield Jeremy Renner Aaron Ryder Language English Number of discs 1 ...

A Washington Post Bestseller Three Principles for Managing--and Avoiding--the Problems of Growth Why is profitable growth so hard to achieve & sustain? Most executives manage their companies as if the solution to that problem lies in the external environment find an attractive market formulate the right strategy win new customers But when Bain & Company's Chris Zook & James Allen authors of the bestselling Profit from the Core researched this question they found that when companies fail to achieve their growth targets 90 percent of the time the root causes are internal not external--increasing distance from the front lines loss of accountability proliferating processes & bureaucracy to name only a few What's more companies experience a set of predictable internal crises at predictable stages as they grow Even for healthy companies these crises if not managed properly stifle the ability to grow further--and can actively lead to decline The key insight from Zook & Allen's research is that managing these choke points requires a "founder's mentality"--behaviors typically embodied by a bold ambitious founder--to restore speed focus & connection to customers An insurgent's clear mission & purpose An unambiguous owner mindset A relentless obsession with the front line Based on the authors' decade-long study of companies in more than forty countries The Founder's Mentality demonstrates the strong relationship between these three traits in companies of all kinds--not just start-ups--and their ability to sustain performance Through rich analysis & inspiring examples this book shows how any leader--not only a founder--can instill & leverage a founder's mentality throughout their organization & find lasting profitable growth ...

In the darkest hour a hero will rise An action-packed star-studded story of an heroic battle in one man&s revolutionary fight for freedom with Jet Li Jackie Chan & Donnie Yen together for the first time in film history Inspired by true events Founding of a Republic weaves a rousing tale of one man who fought against the tyranny of a ruler & led his people in battle in the ultimate sacrifice for his country Featuring breath-taking cinematography explosive action sequences & an all-star cast this unmissable film is set to become a modern-day classic ...

Please note this is a region B Blu-ray & will require a region B or region free Blu-ray player in order to play The Fountain is an odyssey about one man&s thous&-year struggle to save the woman he loves His epic journey begins in 16th century Spain where conquistador Tomas Creo commences his search for the Tree of Life the legendary entity believed to grant eternal life to those who drink of its sap As modern-day scientist Tommy Creo he desperately struggles to find a cure for the cancer that is killing his beloved wife Isabel (Rachel Weisz) Traveling through deep space as a 26th century astronaut Tom begins to grasp the mysteries of life that have consumed him for more than a millennium Actors Hugh Jackman Rachel Weisz Cliff Curtis Sean Gullette Donna Murphy Ethan Suplee Sean Patrick Thomas Mark Margolis Alexander Bisping & Marcello Bezina Director Darren Aronofsky Certificate 15 years & over Year 2006 Screen Widescreen 1851 Languages English
- DTS HD (lossless) Subtitles English for the hearing impaired ; French ; Danish ; Finnish ; Norwegian ; Swedish ; Dutch
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Please note this is a region 2 DVD & will require a region 2 (Europe) or region Free DVD Player in order to play Darren Aronofsky directs this elegaic time-travelling odyssey in which Hugh Jackman & Rachel Weisz star in a series of storylines about a man&s struggle to save the woman he loves In one storyline 16th-century Spanish conquistador Tomas Creo (Jackman) sets out to find the fabled Tree of Life in order to save his queen Isabel (Weisz) from the Inquisition In a modern-day storyline Jackman is Tommy a scientist desperately searching for the medical breakthrough that will save the life of his cancer-stricken wife Izzie (Weisz) In a future timeline Tom (Jackman) is a 26th-century astronaut travelling through deep space
- & finally beginning to grasp the mysteries of life that have consumed him for so long
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When a brutally murdered man is found hanging in a theatre Detective Sergeant Rex King becomes obsessed with the case Who is this anonymous corpse & why has he been ritually mutilated? But as Rex explores the crime scene further the mystery deepens & he finds himself confronting his own secret history instead Who more importantly is Rex King? Shifting between Holborn Police Station an abandoned village in rural 1980s France & Stonehenge's Battle of the Beanfield The Fountain in the Forest transforms the traditional crime narrative into something dizzyingly unique At once an avant-garde linguistic experiment thrilling police procedural philosophical meditation on liberty & counter-culture bildungsroman this is an iconoclastic novel of unparalleled ambition ...

Her first major literary success Ayn Rand's The Fountainhead is an exalted view of her Objectivist philosophy portraying a visionary artist struggling against the dull conformist dogma of his peers; a book of ambition power gold & love published in Penguin Modern Classics Architect Howard Roark is as unyielding as the granite he blasts to build with Defying the conventions of the world around him he embraces a battle over two decades against a double-dealing crew of rivals who will stop at nothing to bring him down These include perhaps most troublesome of all the ambitious Dominique Francon who may just prove to be Roarke's equal This epic story of money power & a man's struggle to succeed on his own terms is a paean to individualism & humanity's creative potential First published in 1943 The Fountainhead introduced millions to Rand's philosophy of Objectivism an uncompromising defence of self-interest as the engine of progress & a jubilant celebration of man's creative potential Ayn Rand (1905-1982) born Alisa Rosenbaum in St Petersburg Russia emigrated to America with her family in January 1926 never to return to her native land Her novel The Fountainhead was published in 1943 & eventually became a bestseller Still occasionally working as a screenwriter Rand moved to New York City in 1951 & published Atlas Shrugged in 1957 Her novels espoused what came to be called Objectivism a philosophy that champions capitalism & the pre-eminence of the individual If you enjoued The Fountainhead you might like Rand's Atlas Shrugged also available in Penguin Modern Classics' In The Fountainhead power greed life's grandeur flow hot & red in thrilling descriptions' London Review of Books' Ayn Rand is a writer of great power she writes brilliantly beautifully bitterly' The New York Times ...

According to ancient Yogic tradition your soul has four distinct desires the desire for purpose the drive to become who you are meant to be; the desire for the means to prosper in this world; the desire for pleasures like intimacy beauty & love; & the desire for spiritual fulfillment & lasting freedom This book deals with this topic 352 pages Stryker Rod ...