Author: Mikel B. Classen
Publisher: Loving Healing Press
ISBN: 1615994904
Category : History
Languages : en
Pages : 133
Book Description
Featuring more than 150 color photos of the U.P.'s most beautiful, historic, and natural locations! I've spent many years exploring the wilderness of Michigan's Upper Peninsula (U.P.), and one thing has become apparent: no matter what part in which you find yourself, fascinating sights are around every corner. There are parks, wilderness areas and museums. There are ghost towns and places named after legends. There are trails to be walked and waterways to be paddled. In the U.P., life is meant to be lived to the fullest. In this book, I've listed 40 destinations from every corner of the U.P. that have places of interest. Some reflect rich history, while others highlight the natural wonders that abound. So, join in the adventures. The Upper Peninsula is an open book--the one that's in your hand. "Without a doubt, Mikel Classen's Points North needs to be in every library, gift shop and quality bookstore throughout the country--particularly those located in Michigan's Lower Peninsula. Not only does Classen bring alive the U.P. through his polished words, his masterful use of color photography also makes this book absolutely beautiful. Points North will long stand as a tremendous tribute to one of the most remarkable parts of our country." --Michael Carrier, author, Murder on Sugar Island "Mikel Classen's love for Michigan's Upper Peninsula shines from every page in Points North, a fascinating insider's guidebook to the exceptional beauty and history of Michigan's far north. Whether you're still in the planning stages of your trip, or you're looking back fondly on the memories you created--even if you wish merely to enjoy a virtual tour of the Upper Peninsula's natural wonders from the comfort of your armchair, you need this book." --Karen Dionne, author of the international bestseller, The Marsh King's Daughter “Many of the places in Points North may sound familiar, but Classen has spent time exploring them all, finding out the wonders others drive by and miss. And some of them may baffle you as much as they did me: the UP has a WWII glider museum? Classen has scoured every inch of the UP, visiting every campground, ghost town, lighthouse, waterfall, and beach that you may have never heard of. This book is full of surprises for even the most knowledgeable visitors to the UP. And if you’re like me, you’ll find yourself marking up the pages, making notes of places you have to visit next time you’re up north." --Steve Lehto, author of Death's Door: The Truth Behind the Strike of 1913 and the Italian Hall Disaster and Michigan's Columbus: The Life of Douglass Houghton "Until I read this book, I had not realized the large number of hidden treasures that the U.P. has. More than just an interesting history, this book is a descriptive roadmap to these treasures. Points North can be used as a guide to an adventure you would never have known about on your own. The pictures and place descriptions here are fantastic! These hidden locations have suddenly become easy to find with this book. I recommend it highly." --Bob Hruska, author of Humorous Hunting, Fishing, and Camping in the U.P. and Canada Learn more at www.PointsNorthBooks.com From Modern History Press www.ModernHistoryPress.com
Pivot Point
Author: Kasie West
Publisher: Harper Collins
ISBN: 0062117408
Category : Young Adult Fiction
Languages : en
Pages : 257
Book Description
Perfect for fans of Sliding Doors, Kasie West's riveting novel Pivot Point follows a girl with the power to see her potential futures. Addison Coleman's life is one big "What if?" As a Searcher, a special type of clairvoyant, whenever Addie is faced with a choice, she is able to look into the future and see both outcomes. So when her parents tell her they are getting a divorce and she has to pick who she wants to live with, a Search has never been more important. In one future Addie is living with her mom in the life she's always known and is being pursued by the most popular guy in school. In the other she is the new girl in school, where she falls for a cute, quiet artist. Then Addie finds herself drawn into a murder investigation, and her fate takes a darker turn. With so much to lose in either future, Addie must decide which reality she's willing to live through . . . and who she's willing to live without.
Publisher: Harper Collins
ISBN: 0062117408
Category : Young Adult Fiction
Languages : en
Pages : 257
Book Description
Perfect for fans of Sliding Doors, Kasie West's riveting novel Pivot Point follows a girl with the power to see her potential futures. Addison Coleman's life is one big "What if?" As a Searcher, a special type of clairvoyant, whenever Addie is faced with a choice, she is able to look into the future and see both outcomes. So when her parents tell her they are getting a divorce and she has to pick who she wants to live with, a Search has never been more important. In one future Addie is living with her mom in the life she's always known and is being pursued by the most popular guy in school. In the other she is the new girl in school, where she falls for a cute, quiet artist. Then Addie finds herself drawn into a murder investigation, and her fate takes a darker turn. With so much to lose in either future, Addie must decide which reality she's willing to live through . . . and who she's willing to live without.
Cirque Du Freak: A Living Nightmare
Author: Darren Shan
Publisher: Little, Brown Books for Young Readers
ISBN: 031604184X
Category : Young Adult Fiction
Languages : en
Pages : 130
Book Description
From the Master of Horror comes the first gripping book in the twelve book New York Times bestselling Saga of Darren Shan. Start the tale from the beginning in the book that inspired the feature film The Vampire's Assistant and petrified devoted fans worldwide. A young boy named Darren Shan and his best friend, Steve, get tickets to the Cirque Du Freak, a wonderfully gothic freak show featuring weird, frightening half human/half animals who interact terrifyingly with the audience. In the midst of the excitement, true terror raises its head when Steve recognizes that one of the performers-- Mr. Crepsley-- is a vampire! Stever remains after the show finishes to confront the vampire-- but his motives are surprising! In the shadows of a crumbling theater, a horrified Darren eavesdrops on his friend and the vampire, and is witness to a monstrous, disturbing plea. As if by destiny, Darren is pulled to Mr. Crepsley and what follows is his horrifying descent into the dark and bloody world of vampires. This is the beginning of Darren's story.
Publisher: Little, Brown Books for Young Readers
ISBN: 031604184X
Category : Young Adult Fiction
Languages : en
Pages : 130
Book Description
From the Master of Horror comes the first gripping book in the twelve book New York Times bestselling Saga of Darren Shan. Start the tale from the beginning in the book that inspired the feature film The Vampire's Assistant and petrified devoted fans worldwide. A young boy named Darren Shan and his best friend, Steve, get tickets to the Cirque Du Freak, a wonderfully gothic freak show featuring weird, frightening half human/half animals who interact terrifyingly with the audience. In the midst of the excitement, true terror raises its head when Steve recognizes that one of the performers-- Mr. Crepsley-- is a vampire! Stever remains after the show finishes to confront the vampire-- but his motives are surprising! In the shadows of a crumbling theater, a horrified Darren eavesdrops on his friend and the vampire, and is witness to a monstrous, disturbing plea. As if by destiny, Darren is pulled to Mr. Crepsley and what follows is his horrifying descent into the dark and bloody world of vampires. This is the beginning of Darren's story.
Case in Point
Author: Marc Cosentino
Publisher:
ISBN: 9780971015869
Category : Business consultants
Languages : en
Pages : 228
Book Description
Marc Cosentino demystifies the consulting case interview. He takes you inside a typical interview by exploring the various types of case questions and he shares with you the acclaimed Ivy Case System which will give you the confidence to answer even the most sophisticated cases. The book includes over 40 strategy cases, a number of case starts exercises, several human capital cases, a section on marketing cases and 21 ways to cut costs.
Publisher:
ISBN: 9780971015869
Category : Business consultants
Languages : en
Pages : 228
Book Description
Marc Cosentino demystifies the consulting case interview. He takes you inside a typical interview by exploring the various types of case questions and he shares with you the acclaimed Ivy Case System which will give you the confidence to answer even the most sophisticated cases. The book includes over 40 strategy cases, a number of case starts exercises, several human capital cases, a section on marketing cases and 21 ways to cut costs.
Fellowship Point
Author: Alice Elliott Dark
Publisher: Simon and Schuster
ISBN: 1982131861
Category : Fiction
Languages : en
Pages : 608
Book Description
“A magnificent storytelling feat” (The Boston Globe) story of lifelong friendship between two very different “superbly depicted” (The Wall Street Journal) women with shared histories, divisive loyalties, hidden sorrows, and eighty years of summers on a pristine point of land on the coast of Maine, set across the arc of the 20th century. Celebrated children’s book author Agnes Lee is determined to secure her legacy—to complete what she knows will be the final volume of her pseudonymously written Franklin Square novels; and even more consuming, to permanently protect the peninsula of majestic coast in Maine known as Fellowship Point. To donate the land to a trust, Agnes must convince shareholders to dissolve a generations-old partnership. And one of those shareholders is her best friend, Polly. Polly Wister has led a different kind of life than Agnes: that of a well-off married woman with children, defined by her devotion to her husband, a philosophy professor with an inflated sense of stature. She strives to create beauty and harmony in her home, in her friendships, and in her family. Polly soon finds her loyalties torn between the wishes of her best friend and the wishes of her three sons—but what is it that Polly wants herself? Agnes’s designs are further muddied when an enterprising young book editor named Maud Silver sets out to convince Agnes to write her memoirs. Agnes’s resistance cannot prevent long-buried memories and secrets from coming to light with far-reaching repercussions for all. “An ambitious and satisfying tale” (The Washington Post), Fellowship Point reads like a 19th-century epic, but it is entirely contemporary in its “reflections on aging, writing, stewardship, legacies, independence, and responsibility. At its heart, Fellowship Point is about caring for the places and people we love...This magnificent novel affirms that change and growth are possible at any age” (The Christian Science Monitor).
Publisher: Simon and Schuster
ISBN: 1982131861
Category : Fiction
Languages : en
Pages : 608
Book Description
“A magnificent storytelling feat” (The Boston Globe) story of lifelong friendship between two very different “superbly depicted” (The Wall Street Journal) women with shared histories, divisive loyalties, hidden sorrows, and eighty years of summers on a pristine point of land on the coast of Maine, set across the arc of the 20th century. Celebrated children’s book author Agnes Lee is determined to secure her legacy—to complete what she knows will be the final volume of her pseudonymously written Franklin Square novels; and even more consuming, to permanently protect the peninsula of majestic coast in Maine known as Fellowship Point. To donate the land to a trust, Agnes must convince shareholders to dissolve a generations-old partnership. And one of those shareholders is her best friend, Polly. Polly Wister has led a different kind of life than Agnes: that of a well-off married woman with children, defined by her devotion to her husband, a philosophy professor with an inflated sense of stature. She strives to create beauty and harmony in her home, in her friendships, and in her family. Polly soon finds her loyalties torn between the wishes of her best friend and the wishes of her three sons—but what is it that Polly wants herself? Agnes’s designs are further muddied when an enterprising young book editor named Maud Silver sets out to convince Agnes to write her memoirs. Agnes’s resistance cannot prevent long-buried memories and secrets from coming to light with far-reaching repercussions for all. “An ambitious and satisfying tale” (The Washington Post), Fellowship Point reads like a 19th-century epic, but it is entirely contemporary in its “reflections on aging, writing, stewardship, legacies, independence, and responsibility. At its heart, Fellowship Point is about caring for the places and people we love...This magnificent novel affirms that change and growth are possible at any age” (The Christian Science Monitor).
Hook Point
Author: Brendan Kane
Publisher: Waterside Productions
ISBN: 9781949001006
Category : Branding (Marketing)
Languages : en
Pages : 0
Book Description
Hook Point: How to Stand Out in a 3-Second World, by out of the box thinker Brendan Kane, breaks down the most effective strategies to generate new opportunities, innovate and scale your business, and create a compelling brand--both online and off--so you can thrive in the new micro-attention world in which we live. A lot of people know who they are, what they do, and a few even know why they do it--but even when brands or individuals have clarity in these areas, they often struggle to grab a potential audience's attention for long enough to get them to learn about their attributes. Others have amazing products or services that fail to achieve great success because they don't know how to talk about what they do effectively. This is because digital and social media have reshaped our world into one of micro-attention. There are over sixty billion messages shared on digital platforms each day, and the average person is exposed to between four thousand to ten thousand ads a day. This bombardment of stimuli has changed the way we communicate and market content both online and off. In fact, research shows that you have less than three seconds to capture a person's attention. With such a short window of time, we need to hook audiences quickly, efficiently, and consistently if we want to successfully fuel brand awareness and growth. Luckily, Brendan Kane, an out of the box thinker and strategist who's built platforms for celebrities like Taylor Swift and Rhianna, and worked with Fortune 500 companies like Paramount, Viacom, and MTV has mastered the art of standing out. In Hook Point: How to Stand Out in a 3-Second World he reveals the power of hook points--a communication tool that helps marketers package their messages in a succinct, attention-grabbing way that leads to better opportunities both online and off. Whether you're promoting a brand, product, or service this book is the essential guide for making it in our three-second world.
Publisher: Waterside Productions
ISBN: 9781949001006
Category : Branding (Marketing)
Languages : en
Pages : 0
Book Description
Hook Point: How to Stand Out in a 3-Second World, by out of the box thinker Brendan Kane, breaks down the most effective strategies to generate new opportunities, innovate and scale your business, and create a compelling brand--both online and off--so you can thrive in the new micro-attention world in which we live. A lot of people know who they are, what they do, and a few even know why they do it--but even when brands or individuals have clarity in these areas, they often struggle to grab a potential audience's attention for long enough to get them to learn about their attributes. Others have amazing products or services that fail to achieve great success because they don't know how to talk about what they do effectively. This is because digital and social media have reshaped our world into one of micro-attention. There are over sixty billion messages shared on digital platforms each day, and the average person is exposed to between four thousand to ten thousand ads a day. This bombardment of stimuli has changed the way we communicate and market content both online and off. In fact, research shows that you have less than three seconds to capture a person's attention. With such a short window of time, we need to hook audiences quickly, efficiently, and consistently if we want to successfully fuel brand awareness and growth. Luckily, Brendan Kane, an out of the box thinker and strategist who's built platforms for celebrities like Taylor Swift and Rhianna, and worked with Fortune 500 companies like Paramount, Viacom, and MTV has mastered the art of standing out. In Hook Point: How to Stand Out in a 3-Second World he reveals the power of hook points--a communication tool that helps marketers package their messages in a succinct, attention-grabbing way that leads to better opportunities both online and off. Whether you're promoting a brand, product, or service this book is the essential guide for making it in our three-second world.
The Point
Author: John Dixon
Publisher: Ballantine Books
ISBN: 9781101967560
Category : FICTION
Languages : en
Pages : 0
Book Description
Welcome to The Point, future leaders of the Posthuman Age. New cadets, society is not ready for you. The oldest, fiercest fear is ignorance. The general population would burn you at the metaphysical stake. Here, you will train alongside other posthumans. You will learn to control and maximize your powers and to use them for the greater good. You will discover camaraderie and purpose. You will become a part of something bigger than yourselves- the Long Gray Line. Scarlett Winter has always been an outsider, and not only because she's a hardcore daredevil and born troublemaker-she has been hiding superhuman powers she doesn't yet understand. Now she's been recruited by a secret West Point unit for cadets with extraordinary abilities. Scarlett and her fellow students are learning to hone their skills, from telekinetic combat to running recon missions through strangers' dreamscapes. At The Point, Scarlett discovers that she may be the most powerful cadet of all. With the power to control pure energy, she's a human nuclear bomb-and she's not sure she can control her powers much longer. Even in this army of outsiders, Scarlett feels like a misfit all over again, but when a threat arises from the school's dark past that endangers her fellow students at The Point, duty calls and Scarlett must make a choice between being herself and becoming something even greater- a hero.
Publisher: Ballantine Books
ISBN: 9781101967560
Category : FICTION
Languages : en
Pages : 0
Book Description
Welcome to The Point, future leaders of the Posthuman Age. New cadets, society is not ready for you. The oldest, fiercest fear is ignorance. The general population would burn you at the metaphysical stake. Here, you will train alongside other posthumans. You will learn to control and maximize your powers and to use them for the greater good. You will discover camaraderie and purpose. You will become a part of something bigger than yourselves- the Long Gray Line. Scarlett Winter has always been an outsider, and not only because she's a hardcore daredevil and born troublemaker-she has been hiding superhuman powers she doesn't yet understand. Now she's been recruited by a secret West Point unit for cadets with extraordinary abilities. Scarlett and her fellow students are learning to hone their skills, from telekinetic combat to running recon missions through strangers' dreamscapes. At The Point, Scarlett discovers that she may be the most powerful cadet of all. With the power to control pure energy, she's a human nuclear bomb-and she's not sure she can control her powers much longer. Even in this army of outsiders, Scarlett feels like a misfit all over again, but when a threat arises from the school's dark past that endangers her fellow students at The Point, duty calls and Scarlett must make a choice between being herself and becoming something even greater- a hero.
Points North
Author: Mikel B. Classen
Publisher: Loving Healing Press
ISBN: 1615994904
Category : History
Languages : en
Pages : 133
Book Description
Featuring more than 150 color photos of the U.P.'s most beautiful, historic, and natural locations! I've spent many years exploring the wilderness of Michigan's Upper Peninsula (U.P.), and one thing has become apparent: no matter what part in which you find yourself, fascinating sights are around every corner. There are parks, wilderness areas and museums. There are ghost towns and places named after legends. There are trails to be walked and waterways to be paddled. In the U.P., life is meant to be lived to the fullest. In this book, I've listed 40 destinations from every corner of the U.P. that have places of interest. Some reflect rich history, while others highlight the natural wonders that abound. So, join in the adventures. The Upper Peninsula is an open book--the one that's in your hand. "Without a doubt, Mikel Classen's Points North needs to be in every library, gift shop and quality bookstore throughout the country--particularly those located in Michigan's Lower Peninsula. Not only does Classen bring alive the U.P. through his polished words, his masterful use of color photography also makes this book absolutely beautiful. Points North will long stand as a tremendous tribute to one of the most remarkable parts of our country." --Michael Carrier, author, Murder on Sugar Island "Mikel Classen's love for Michigan's Upper Peninsula shines from every page in Points North, a fascinating insider's guidebook to the exceptional beauty and history of Michigan's far north. Whether you're still in the planning stages of your trip, or you're looking back fondly on the memories you created--even if you wish merely to enjoy a virtual tour of the Upper Peninsula's natural wonders from the comfort of your armchair, you need this book." --Karen Dionne, author of the international bestseller, The Marsh King's Daughter “Many of the places in Points North may sound familiar, but Classen has spent time exploring them all, finding out the wonders others drive by and miss. And some of them may baffle you as much as they did me: the UP has a WWII glider museum? Classen has scoured every inch of the UP, visiting every campground, ghost town, lighthouse, waterfall, and beach that you may have never heard of. This book is full of surprises for even the most knowledgeable visitors to the UP. And if you’re like me, you’ll find yourself marking up the pages, making notes of places you have to visit next time you’re up north." --Steve Lehto, author of Death's Door: The Truth Behind the Strike of 1913 and the Italian Hall Disaster and Michigan's Columbus: The Life of Douglass Houghton "Until I read this book, I had not realized the large number of hidden treasures that the U.P. has. More than just an interesting history, this book is a descriptive roadmap to these treasures. Points North can be used as a guide to an adventure you would never have known about on your own. The pictures and place descriptions here are fantastic! These hidden locations have suddenly become easy to find with this book. I recommend it highly." --Bob Hruska, author of Humorous Hunting, Fishing, and Camping in the U.P. and Canada Learn more at www.PointsNorthBooks.com From Modern History Press www.ModernHistoryPress.com
Publisher: Loving Healing Press
ISBN: 1615994904
Category : History
Languages : en
Pages : 133
Book Description
Featuring more than 150 color photos of the U.P.'s most beautiful, historic, and natural locations! I've spent many years exploring the wilderness of Michigan's Upper Peninsula (U.P.), and one thing has become apparent: no matter what part in which you find yourself, fascinating sights are around every corner. There are parks, wilderness areas and museums. There are ghost towns and places named after legends. There are trails to be walked and waterways to be paddled. In the U.P., life is meant to be lived to the fullest. In this book, I've listed 40 destinations from every corner of the U.P. that have places of interest. Some reflect rich history, while others highlight the natural wonders that abound. So, join in the adventures. The Upper Peninsula is an open book--the one that's in your hand. "Without a doubt, Mikel Classen's Points North needs to be in every library, gift shop and quality bookstore throughout the country--particularly those located in Michigan's Lower Peninsula. Not only does Classen bring alive the U.P. through his polished words, his masterful use of color photography also makes this book absolutely beautiful. Points North will long stand as a tremendous tribute to one of the most remarkable parts of our country." --Michael Carrier, author, Murder on Sugar Island "Mikel Classen's love for Michigan's Upper Peninsula shines from every page in Points North, a fascinating insider's guidebook to the exceptional beauty and history of Michigan's far north. Whether you're still in the planning stages of your trip, or you're looking back fondly on the memories you created--even if you wish merely to enjoy a virtual tour of the Upper Peninsula's natural wonders from the comfort of your armchair, you need this book." --Karen Dionne, author of the international bestseller, The Marsh King's Daughter “Many of the places in Points North may sound familiar, but Classen has spent time exploring them all, finding out the wonders others drive by and miss. And some of them may baffle you as much as they did me: the UP has a WWII glider museum? Classen has scoured every inch of the UP, visiting every campground, ghost town, lighthouse, waterfall, and beach that you may have never heard of. This book is full of surprises for even the most knowledgeable visitors to the UP. And if you’re like me, you’ll find yourself marking up the pages, making notes of places you have to visit next time you’re up north." --Steve Lehto, author of Death's Door: The Truth Behind the Strike of 1913 and the Italian Hall Disaster and Michigan's Columbus: The Life of Douglass Houghton "Until I read this book, I had not realized the large number of hidden treasures that the U.P. has. More than just an interesting history, this book is a descriptive roadmap to these treasures. Points North can be used as a guide to an adventure you would never have known about on your own. The pictures and place descriptions here are fantastic! These hidden locations have suddenly become easy to find with this book. I recommend it highly." --Bob Hruska, author of Humorous Hunting, Fishing, and Camping in the U.P. and Canada Learn more at www.PointsNorthBooks.com From Modern History Press www.ModernHistoryPress.com
The Theory of Sets of Points
Author: W. H. Young
Publisher: American Mathematical Soc.
ISBN: 1470409623
Category : Mathematics
Languages : en
Pages : 346
Book Description
From the Preface to the first edition (1906): "A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole."
Publisher: American Mathematical Soc.
ISBN: 1470409623
Category : Mathematics
Languages : en
Pages : 346
Book Description
From the Preface to the first edition (1906): "A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole."
Fixed Points of Nonlinear Operators
Author: Haiyun Zhou
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110664011
Category : Mathematics
Languages : en
Pages : 451
Book Description
Iterative Methods for Fixed Points of Nonlinear Operators offers an introduction into iterative methods of fixed points for nonexpansive mappings, pseudo-contrations in Hilbert Spaces and in Banach Spaces. Iterative methods of zeros for accretive mappings in Banach Spaces and monotone mappings in Hilbert Spaces are also discussed. It is an essential work for mathematicians and graduate students in nonlinear analysis.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110664011
Category : Mathematics
Languages : en
Pages : 451
Book Description
Iterative Methods for Fixed Points of Nonlinear Operators offers an introduction into iterative methods of fixed points for nonexpansive mappings, pseudo-contrations in Hilbert Spaces and in Banach Spaces. Iterative methods of zeros for accretive mappings in Banach Spaces and monotone mappings in Hilbert Spaces are also discussed. It is an essential work for mathematicians and graduate students in nonlinear analysis.
Homotopy Methods in Topological Fixed and Periodic Points Theory
Author: Jerzy Jezierski
Publisher: Springer Science & Business Media
ISBN: 9781402039300
Category : Mathematics
Languages : en
Pages : 330
Book Description
The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest over the last century. These topological methods of ?xed point theory are divided, roughly speaking, into two types. The ?rst type includes such as the Banach Contraction Principle where the assumptions on the space can be very mild but a small change of the map can remove the ?xed point. The second type, on the other hand, such as the Brouwer and Lefschetz Fixed Point Theorems, give the existence of a ?xed point not only for a given map but also for any its deformations. This book is an exposition of a part of the topological ?xed and periodic point theory, of this second type, based on the notions of Lefschetz and Nielsen numbers. Since both notions are homotopyinvariants, the deformationis used as an essential method, and the assertions of theorems typically state the existence of ?xed or periodic points for every map of the whole homotopy class, we refer to them as homotopy methods of the topological ?xed and periodic point theory.
Publisher: Springer Science & Business Media
ISBN: 9781402039300
Category : Mathematics
Languages : en
Pages : 330
Book Description
The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest over the last century. These topological methods of ?xed point theory are divided, roughly speaking, into two types. The ?rst type includes such as the Banach Contraction Principle where the assumptions on the space can be very mild but a small change of the map can remove the ?xed point. The second type, on the other hand, such as the Brouwer and Lefschetz Fixed Point Theorems, give the existence of a ?xed point not only for a given map but also for any its deformations. This book is an exposition of a part of the topological ?xed and periodic point theory, of this second type, based on the notions of Lefschetz and Nielsen numbers. Since both notions are homotopyinvariants, the deformationis used as an essential method, and the assertions of theorems typically state the existence of ?xed or periodic points for every map of the whole homotopy class, we refer to them as homotopy methods of the topological ?xed and periodic point theory.