John Little – författare
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51 produkter
51 produkter
Häftad, Engelska, 2002
128 kr
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"A teacher is never a giver of truth—he is a guide, a pointer to the truth that each student must find for himself. A good teacher is merely a catalyst."—Bruce LeeWithin the pages of Striking Thoughts, you will find the secrets of Bruce Lee's incredible success— as an actor, martial artist, and inspiration to the world. Consisting of eight sections, Striking Thoughts covers 72 topics and 825 aphorisms—from spirituality to personal liberation and from family life to filmmaking—all of which Bruce lived by.His ideas helped energize his life and career and made it possible for him to live a happy and assured life, overcoming challenging obstacles with seeming ease. They also inspired his family, friends, students, and colleagues to achieve success in their own lives and this personal collection will help you in your journey too.Sections include:On First Principles—including life, existence, time, and deathOn Being Human—including the mind, happiness, fear, and dreamsOn Matters of Existence—health, love, marriage, raising children, ethics, racism, and adversityOn Achievement—work, goals, faith, success, money, and fameOn Art and Artists—art, filmmaking, and actingOn Personal Liberation—conditioning, Zen Buddhism, meditation, and freedomOn the Process of Becoming—self-actualization, self-help, self-expression, and growthOn Ultimate (Final) Principles—Yin-yang, totality, Tao, and the truthThis Bruce Lee Book is part of the Bruce Lee Library which also features:Bruce Lee: The Celebrated Life of the Golden DragonBruce Lee: The Tao of Gung FuBruce Lee: Artist of LifeBruce Lee: Letters of the DragonBruce Lee: The Art of Expressing the Human BodyBruce Lee: Jeet Kune Do
Häftad, Engelska, 2016
123 kr
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In the months leading up to his death, Bruce Lee was working on this definitive study of the Chinese martial arts—collectively known as Kung Fu or Gung Fu. This book has now been edited and is published here for the first time in its entirety.Bruce Lee revolutionized the practice of martial arts and brought them into the modern world—by promoting the idea that students have the right to pick and choose those techniques and training regimens which suit their personal needs and fighting styles. He developed a new method of his own called Jeet Kune Do—combining many elements from different masters and different traditions. This was considered heretical at the time within martial arts circles, where one was expected to study with only a single master—and Lee was the first martial artist to attempt this. Today he is revered as the "father" of many martial arts practices around the world—including Mixed Martial Arts. In addition to presenting the fundamental techniques, mindset and training methods of traditional Chinese martial arts, this martial art treatise explores such esoteric topics as Taoism and Zen as applied to Gung Fu, Eastern and Western fitness regimens and self-defense techniques. Also included is a Gung Fu "scrapbook" of Bruce Lee's anecdotes regarding the history and traditions of the martial arts of China. After Lee's death, his manuscript was completed and edited by martial arts expert John Little in cooperation with the Bruce Lee Estate. This book features an introduction by his wife, Linda Lee Cadwell and a foreword from his close friend and student, Taky Kimura. This Bruce Lee Book is part of the Bruce Lee Library which also features:Bruce Lee: Striking ThoughtsBruce Lee: The Celebrated Life of the Golden DragonBruce Lee: Artist of LifeBruce Lee: Letters of the DragonBruce Lee: The Art of Expressing the Human BodyBruce Lee: Jeet Kune Do
Häftad, Engelska, 2002
222 kr
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This title presents the advanced techniques, most productive workouts, and life-transforming personal philosophies of bodybuilding legend Mike Mentzer. Whatever your level of fitness, you can kick your muscles - and your mind - into high gear with the radical training philosophies and advanced bodybuilding techniques of Mike Mentzer, the first bodybuilder to ever garner a perfect score in the Mr. Universe competition. The thinking man's bodybuilder, Mike revolutionized the art of training with his Heavy Duty[trademark] system, proving that "less is more" when it comes to making great gains. But Mike's most advanced ideas have never been revealed - until now.Direct from Mentzer's inner circle - friend and colleague John Little along with Joanne Sharkey, the CEO of Mentzer-Sharkey Enterprises, Inc. "The Wisdom of Mike Mentzer" gives you an insider's look at his most intense, in-depth lessons.Inside these pages you will learn all the fundamentals of: hunger - the code of integrity for displaying a heroic physique; philosophy and character building - why you need never again fear your competition; the science of productive bodybuilding exercise - Mentzer's fail-safe principles for building maximum size and strength; consolidation training - a lightning-quick workout that works "like magic" for producing phenomenal muscle growth; and, advanced heavy duty[trademark] techniques, such as omni-contraction training, infitonic training, and rest-pause training. "The Wisdom of Mike Mentzer" provides readers with a unique insight into the world of Mike Mentzer - the man, the philosopher, and the legend.
Häftad, Engelska, 1998
218 kr
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Learn the secrets to obtaining Bruce Lee's astounding physique with this insightful martial arts training book.The Art of Expressing the Human Body, a title coined by Bruce Lee himself to describe his approach to martial arts, documents the techniques he used so effectively to perfect his body for superior health and muscularity.Beyond his martial arts and acting abilities, Lee's physical appearance and strength were truly astounding. He achieved this through an intensive and ever-evolving conditioning regime that is being revealed for the first time in this book.Drawing on Lee's notes, letters, diaries and training logs, Bruce Lee historian John Little presents the full extent of Lee's unique training methods including nutrition, aerobics, isometrics, stretching and weight training.In addition to serving as a record of Bruce Lee's training, The Art of Expressing the Human Body, with its easy-to-understand and simple-to-follow training routines, is a valuable source book for those who seek dramatic improvement in their health, conditioning, physical fitness, and appearance. This Bruce Lee Book is part of the Bruce Lee Library which also features:Bruce Lee: Striking ThoughtsBruce Lee: The Celebrated Life of the Golden DragonBruce Lee: The Tao of Gung FuBruce Lee: Artist of LifeBruce Lee: Letters of the DragonBruce Lee: Jeet Kune Do
Häftad, Engelska, 2018
149 kr
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Named one of TIME magazine's 100 Greatest Men of the Century, Bruce Lee's impact and influence has only grown since his untimely death in 1973. Part of the seven-volume Bruce Lee Library, this installment of the famed martial artistAes private notebooks allows his legions of fans to learn more about the man whose groundbreaking action films sparked a worldwide interest in the Asian martial arts. Bruce Lee Artist of Life explores the development of Lee's thoughts about Gung Fu (Kung Fu), philosophy, psychology, poetry, Jeet Kune Do, acting, and self-knowledge. Edited by John Little, a leading authority on Lee's life and work, the book includes a selection of letters that eloquently demonstrate how Lee incorporated his thought into actions and advice to others. Although Lee rose to stardom through his physical prowess and practice of jeet kune do;the system of fighting he founded;Lee was also a voracious and engaged reader who wrote extensively, synthesizing Eastern and Western thought into a unique personal philosophy of self-discovery. Martial arts practitioners and fans alike eagerly anticipate each new volume of the Library and its trove of rare letters, essays, and poems for the light it sheds on this legendary figure.Bruce Lee was known as an amazing martial artist, but he was also a profound thinker. He left behind seven volumes of writing on everything from quantum physics to philosophy. ; John Blake, CNN
Häftad, Engelska, 2005
257 kr
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More than any other bodybuilding writer or authority, Mike Mentzer single-handedly changed the way bodybuilders the world over have looked at exercise. A logical (and necessary) companion volume to Mentzer’s last book (High Intensity Training The Mike Mentzer Way, which was also co-authored by Little), The Wisdom of Mike Mentzer goes much further. Whereas the former book revealed the fundamentals of Mentzer’s revolutionary “Heavy Duty” training system, the latter presents not only Mentzer’s final and most recent discoveries and innovations, but also never-before-released “advanced” training techniques that were known only to Mentzer’s inner circle and personal clients.
Illustrated with the most motivational photographs ever taken of Mentzer (in the gym, posing, and at work) as well as a gallery of his greatest inspirational physique shots, The Wisdom of Mike Mentzer is THE definitive book on the exacting science of building muscle-- fast.
Some of the materials revealed for the first time within the pages of this book are:
• How excessive training is slowing down your progress
• The importance of working to the "point of failure"
• Mentzer’s pioneering use of the early Nautilus machines
• A complete “Heavy Duty” seminar
• Mike Mentzer’s “Most Productive” Routine
• Advanced “Heavy Duty” training techniques
• A workout of two sets performed once a week – and why Mentzer thought it worked “like magic” compared to any other bodybuilding program.
• How to push past mental and physical plateaus
Additionally, the Mentzer estate has made available to the author never-before-released written, audio and video materials (including Mentzer’s research into a revolutionary workout that consists of but two sets performed once every seven days that caused one client to actually “double” his bodyweight in one year!) from the Mike Mentzer archives, which, when combined with Little’s unique personal history with Mentzer and full understanding of his training methods, have resulted in startling new insights and novel applications of Mentzer’s revolutionary “Heavy Duty” training method.
Max Contraction Training: The Scientifically Proven Program for Building Muscle Mass in Minimum Time
Häftad, Engelska, 2003
188 kr
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Häftad, Engelska, 2009
200 kr
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Twelve minutes is all it takes to maximize muscle size and strength, shed fat, and dramatically reduce your risk of heart attack, cancer, and diabetes
Body by Science challenges everything you thought you knew about exercise and takes you deep inside your body's inner workings--all the way down to the single cell--to explain what science now knows about the role of exercise in human health.With the help of medical diagrams and step-by-step photos, exercise scientist Doug McGuff, M.D., and weight-training pioneer John Little present a revolutionary new workout protocol that fully leverages the positive effects of high-intensity, low-frequency weight training, while avoiding the negative effects of traditional aerobic-centric exercise.
In as little as 12 minutes a week, you'll:
Build muscle size and strength, fastOptimize cardiovascular healthRamp up your metabolismLower cholesterolIncrease insulin sensitivityImprove flexibilityManage arthritis and chronic back painBuild bone densityReduce your risk for diabetes, cancer, heart attack, and more
Inbunden, Engelska, 2005
392 kr
Skickas inom 3-6 vardagar
Inbunden, Engelska, 2005
1 086 kr
Skickas inom 10-15 vardagar
In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. For this new edition the authors added two new sections and a new chapter, updated the references and made numerous minor improvements throughout the text.
Häftad, Engelska, 2005
816 kr
Skickas inom 10-15 vardagar
In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. For this new edition the authors added two new sections and a new chapter, updated the references and made numerous minor improvements throughout the text.
E-bok
PDF, Engelska, 20051 029 kr
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In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. For this new edition the authors added two new sections and a new chapter, updated the references and made numerous minor improvements throughout the text.
E-bok
PDF, Engelska, 2007649 kr
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Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated?
The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory.
The algorithms to answer questions such as those posed above are an important part of algebraic geometry. Although the algorithmic roots of algebraic geometry are old, it is only in the last forty years that computational methods have regainedtheir earlier prominence. New algorithms, coupled with the power of fast computers, have led to both theoretical advances and interesting applications, for example in robotics and in geometric theorem proving.
In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: A significantly updated section on Maple in Appendix C; Updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; A shorter proof of the Extension Theorem presented in Section 6 of Chapter 3.
From the 2nd edition: "I consider the book to be wonderful. ... The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging ... offers the heart and soul of modern commutative and algebraic geometry." The American Mathematical Monthly
E-bok
Engelska, 201044 kr
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This is the story of David Brill, one of the very best of Australian cameramen - past and present. He is in the same company as Damien Parer and Neil Davis.Over the past forty years he has covered wars and disasters all over the world. He filmed the fall of Saigon. He was in Moscow during the collapse of communism. He has covered countless other conflicts and natural disasters in Asia, Africa and North and South America.He has been single-mindedly dedicated to the pursuit of his craft: to get the story, get the film - always to preserve and present the human dimension, no matter how large or mindless the conflict or event.David Brill has paid a high price for this uncompromising style. He has two failed marriages, and at times has been overcome by demons such as alcohol. This biography is also a great adventure story, a journey through war zones and various hell holes of the world. And it is an inside look at what makes some people follow a profession where their life is on the line - as a standard feature of their day.
Häftad, Engelska, 2016
123 kr
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"For any Bruce Lee fan, this book is an absolute must-have and must-read. As you delve into the letters within, you will find that Bruce Lee's private self was as extraordinary as his public persona — but even more profound and expansive." — Wing Chun Illustrated MagazineBruce Lee Letters of the Dragon is a fascinating glimpse of the private Bruce Lee behind the public image—a man with the patience and concern to dedicate as much effort to crafting a thoughtful personal answer to the letter of a young fan as to those from his old friends and associates; an extremely active man never too busy to make time for an old family friend in need of simple companionship; a man who never wrote without careful thought, and never thought from the head alone, but always from the head and heart together.The letters in this inspiring book trace Bruce Lee's career and development from his decision—made while he was still in secondary school—to move to the U.S. to further his education. Readers will journey with him through the many setbacks, rededicated efforts and triumphs of life that shaped his martial art and humanity, all the way to the last letter he ever composed, just hours before his sudden death.After absorbing the letters in this volume, readers will inevitably find that the private Bruce Lee was every bit as great as the public Bruce Lee.This Bruce Lee Book is part of the Bruce Lee Library which also features:Bruce Lee: Striking ThoughtsBruce Lee: The Celebrated Life of the Golden DragonBruce Lee: The Tao of Gung FuBruce Lee: Artist of LifeBruce Lee: The Art of Expressing the Human BodyBruce Lee: Jeet Kune Do
Häftad, Engelska, 2017
98 kr
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Words of the Dragon is an anthology of newspaper and magazine interviews from 1958 to 1973 revealing Bruce Lee's own fascinating words and explanations about Bruce himself, his art and philosophy.Interesting and insightful, Words of the Dragon provides the reader a means to understand the real Bruce Lee, offering us a unique keyhole through which to view the private life and personal struggles of the late martial arts superstar. These interviews provide us with Lee's own interpretations of life, the martial arts, international stardom, and his cross-cultural marriage during a time of racism. This Bruce Lee book is part of the Bruce Lee Library which also features:Bruce Lee's Striking ThoughtsBruce Lee's The Tao of Gung FuBruce Lee Artist of LifeBruce Lee Letters of the DragonBruce Lee The Art of Expressing the Human BodyBruce Lee Jeet Kune Do
Häftad, Engelska, 2020
193 kr
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Bruce Lee Jeet Kune Do is the iconic book presenting the martial art created by Bruce Lee as explained in the master's own words.In 1970, Bruce Lee suffered a back injury that confined him to bed. Rather than allowing this to slow his growth as a martial artist, he read feverishly on Eastern philosophy and Western psychology and self help books, constructing his own views on the totality of combat and life. It was during this time that Lee wrote 7 volumes containing his thoughts, ideas, opinions, and research into the art of unarmed combat, and how it applies to the everyday life. Some of this material was posthumously published in 1975, but much more existed.This landmark book serves as a more complete presentation of Bruce Lee's notes on his art of Jeet Kune Do. The development of his unique martial art form, its principles, core techniques, and lesson plans are presented here in Lee's own words. It also features Lee's illustrative sketches and his remarkable treatise on the nature of combat, success through martial arts, and the importance of a positive mental attitude in training. In addition, there are a series of "Questions Every Martial Artist Must Ask Himself," that Lee posed to himself and intended to explore as part of his own development, but never lived to complete. Jeet Kune Do: A Comprehensive Guide to Bruce Lee's Martial Way is a book every Bruce Lee fan must have.
Inbunden, Engelska, 2026
98 kr
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A behind-the-scenes look at the life of the most extraordinary martial artist of all time—Bruce Lee.Bruce Lee: The Celebrated Life of the Golden Dragon is a photographic catalog of all facets of this fascinating man, from the start of his career to his untimely and tragic death in 1973. This book reveals a quiet family man behind the charismatic public persona. It shows the real Bruce Lee—the man who was so much more than an international film and martial arts celebrity.This brilliant photo essay—compiled and edited by Bruce Lee expert John Little with the assistance of Lee's widow, Linda Lee Cadwell—reveals never-before-published family photos, including rare photos of Bruce's childhood in Hong Kong. Tender moments with his children are caught on camera, and action shots from his martial arts films are shown.With a preface by his daughter Shannon Lee and a foreword by wife Linda, the text is drawn directly from Bruce Lee's own diaries and journals. Based on the award-winning Warner Bros. documentary, Bruce Lee: In His Own Words, sections include:Chronology of the Life of Bruce LeeEarly Years—why he began studying gung fu (kung fu) and took up wing chun, his first starring role, and his return to the USHollywood—why he got the part in The Green Hornet, teaching Steve McQueen, James Coburn and Stirling Silliphant, filming Enter the Dragon, The Way of the Dragon, Fist of Fury and more, training and acting with Chuck Norris, Kareem Abdul-Jabbar, Dean Martin and Sharon Tate, and the creation of Jeet Kune Do (JKD)Family—meeting Linda, having children, daily lifeThis Bruce Lee Book is part of Tuttle Publishing's Bruce Lee Library which also features:Bruce Lee's Striking ThoughtsBruce Lee's The Tao of Gung FuBruce Lee Artist of LifeBruce Lee: Letters of the DragonBruce Lee: The Art of Expressing the Human BodyBruce Lee Jeet Kune Do
Häftad, Engelska, 1999
281 kr
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Practiced by millions of people around the world, the ancient and gentle Chinese martial art of tai chi offers the perfect balance of mind and body, strength and flexibility, grace and agility. Its smooth, fluid movements demand precision and control while offering exercisers of all ages improved fitness, stress reduction, and self-defense skills. Whether you are a curious novice, an intermediate student seeking deeper understanding, or a tai chi expert, Inside Kung-Fu's Ulitmate Guide to Tai Chi offers you a wealth of insightful, reliable, hard-to-find information from world-renowned experts in every aspect of tai chi. Inside, you'll find chapters that inform and inspire, addressing such topics as: The history of traditions of tai chi chuan How to find and evaluate schools and teachers Creating a strong foundation of basic techniques Mastering advanced techniques, including the cultivation of chi, breath control, and the use of weapons The founders of tai chi and teh variety of tai chi styles The self-defense applications of tai chi In this volume, you'll find everything you need to know to enhance your practice, increase your understanding, and reap the proven health and fitness benefits of the powerful internal martial art of tai chi. John R. Little is the author of The Warrior Within and Bruce Lee: Words from a Master as well as other books on Bruce Lee. He is also the author of numerous published articles on martial arts philosophy and practice. Curtis F. Wong is the publisher of Inside Kung-Fu and other highly respected martial arts magazines.
Häftad, Engelska, 1996
259 kr
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During his lifetime, legendary martial artist Bruce Lee formulated a complex personal philosophy--a synthesis of Eastern and Western ideals--that extolled the virtues of knowledge and total mastery of one's self. However, most of his philosophical writings could be found only within the personal library of the Bruce Lee estate--until now. The Warrior Within is the most comprehensive volume of these teachings, meant to help you apply Lee's philosophies to your own life. This unique guide reveals such life-affirming secrets as: Seeing the totality of life and putting things into perspective Understanding the concept of Yin and Yang Defeating adversity by adapting to circumstances Tapping into inner spiritual forces to help shape the future With a foreword by Linda Lee Cadwell and photographs and other memorabilia from Bruce Lee's short but celebrated life, The Warrior Within is an engrossing and easy-to-understand guide to the little-explored world of Bruce Lee. John Little has been identified as "one of the foremost authorities on Bruce Lee in the world" by Black Belt magazine. He edited a three-volume series for the Bruce Lee estate and has written articles for several publications, including Men's Fitness, Official Karate, and Inside Kung Fu.
Del 228 - Publications of the Surtees Society
Book of Orders and Accounts for the Borough of Stockton-on-Tees
Inbunden, Engelska, 2024
738 kr
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In 1769, the Welsh antiquary Thomas Pennant admired Stockton-on-Tees as a 'handsome town' with a 'remarkably fine high street'. Only a century earlier, 'it had scarce a house that was not made of clay and thatch', but now it was 'a flourishing place'. The town would be transformed again with the coming of the Stockton and Darlington railway in 1825, but for the two centuries before that, the mayors and burgesses had been running the corporation, developing the town and port from a poor hamlet, in the shadow of the bishop's manor house, to a thriving community which underwent an urban renaissance during the Georgian period. The 'Book of Orders and Accounts' records their decisions, orders, finances and dealings with the bishopric, from the reign of James I to municipal reform in 1835, providing an unusually complete record of urban affairs and recording the signatures or marks of a large number of individuals.
Häftad, Engelska, 2016
182 kr
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When gynecologists Catherine and Reg Hamlin left their home in Australia for Ethiopia, they never dreamed that they would establish what has been heralded as one of the most incredible medical programs in the modern world.But more than forty years later, the couple has operated on more than 20,000 women, most of whom suffered from obstetric fistula, a debilitating childbirth injury.In this awe-inspiring book, Dr. Catherine Hamlin recalls her life and career in Ethiopia. Her unyielding courage and solid faith will astound Christians worldwide as she talks about the people she has grown to love and the hospital that so many Ethiopian women have come to depend on. She truly is the Mother Teresa of our age.The second edition includes an afterword that brings Catherine's story up to date and new color photographs.
Häftad, Engelska, 2008
221 kr
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E-bok
Engelska66 kr
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Häftad, Engelska, 2012
206 kr
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Häftad, Engelska, 2012
168 kr
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Häftad, Engelska, 2006
249 kr
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E-bok
PDF, Engelska, 20131 100 kr
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We wrote this book to introduce undergraduates to some interesting ideas in algebraic geometry and commutative algebra. Until recently, these topics involved a lot of abstract mathematics and were only taught in graduate school. But in the 1960''s, Buchberger and Hironaka discovered new algorithms for manipulating systems of polynomial equations. Fueled by the development of computers fast enough to run these algorithms, the last two decades have seen a minor revolution in commutative algebra. The ability to compute efficiently with polynomial equations has made it possible to investigate complicated examples that would be impossible to do by hand, and has changed the practice of much research in algebraic geometry. This has also enhanced the importance of the subject for computer scientists and engineers, who have begun to use these techniques in a whole range of problems. It is our belief that the growing importance of these computational techniques warrants their introduction into the undergraduate (and graduate) mathematics curricu lum. Many undergraduates enjoy the concrete, almost nineteenth century, flavor that a computational emphasis brings to the subject. At the same time, one can do some substantial mathematics, including the Hilbert Basis Theorem, Elimination Theory and the Nullstellensatz. The mathematical prerequisites of the book are modest: the students should have had a course in linear algebra and a course where they learned how to do proofs. Examples of the latter sort of course include discrete math and abstract algebra.
E-bok
PDF, Engelska, 20131 140 kr
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Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. The algorithms to answer questions such as those posed above are an important part of algebraic geometry. This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960''s. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years, and new algorithms, coupled with the power of fast computers, have let to some interesting applications, for example in robotics and in geometric theorem proving. In preparing a new edition of Ideals, Varieties and Algorithms the authors present an improved proof of the Buchberger Criterion as well as a proof of Bezout''s Theorem. Appendix C contains a new section on Axiom and an update about Maple , Mathematica and REDUCE.
E-bok
PDF, Engelska, 2013794 kr
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In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gr"obner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gr"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.