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Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity)

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About the Author

Steven H. Strogatz is professor of applied mathematics at Cornell University. He received his Ph.D. from Harvard University in 1986. Professor Strogatz has been honored with several awards including MIT's highest teaching prize, the E.M. Baker Award for Excellence in Undergraduate Teaching, as well as a Presidential Young Investigator Award from the National Science Foundation. His research on a wide variety of nonlinear systems--from synchronized fireflies to small-world networks--has been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times . 

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Product details

Series: Studies in Nonlinearity

Paperback: 512 pages

Publisher: CRC Press; 1 edition (December 29, 2000)

Language: English

ISBN-10: 0738204536

ISBN-13: 978-0738204536

Product Dimensions:

6.1 x 1.2 x 9.2 inches

Shipping Weight: 1.6 pounds

Average Customer Review:

4.3 out of 5 stars

102 customer reviews

Amazon Best Sellers Rank:

#683,283 in Books (See Top 100 in Books)

I am using this book as a "practice-first" guide to mathematics for the guy in his thirties, who struggles to understand why his high education was not done right 15 years ago, and do it so by himself this time.Accompanied by the lectures on the subject (search the title on youtube), this is likely the best book on math out there for motivated unexperienced reader.It will throw you to many practical fields of mathematics, and, having enough time, one can continue wandering and hunting for different subjects while eating this dish chapter by chapter (or lecture by lecture). For me, who has the luxury of not following any education plan, this is a delicious experience.

I agree with what another reviewer said:"if all math books are written in this clarity, the number of students in physics/engineering would rise considerably".This is the one of the clearest textbooks I ever seen in my college life.Clear words, helpful figures, many examples, ...This book is perfect for self-study.

Preface: I'm a physicist first and a mathematician second, so rigor is less my focus than ideas. That said, this is the best math textbook I've ever read. I decided to start reading it the day before my class started, but by the time I walked into the class I was already to chapter 4 - the book was that easy to read. (I jumped into a higher level class because I knew I would be done the book in a week anyway.) If there was ever a math textbook I would recommend to people from outside of math, this would be it.

An outstanding book. I'm an empirical biologist with just a bit of (long distant) math background. This has been excellent source for me to supplement a systems biology course I am developing. I cannot say enough about how much I appreciate the appeal to intuition and specific examples and not just a series of one equation derivation after another. Well worth it!

This book was the textbook in a course on nonlinear dynamics that I took. The course covered most of chapters 2-8 (chapter 1 is an introduction and is very short), so please consider my comments from that context. Speaking personally as an individual student- I tend to rely very heavily on my textbooks for learning and generally read them deeply. This book was no exception.Overwhelmingly, the great strength of this book is the quality of the writing style. This is a very rare math book in that it is actually fun to read. The examples are for the most part very good- easy to follow and understand. The author focuses a lot on the big picture perspective of the techniques involved and does a superb job of developing a very good intuition and feel for nonlinear systems. In fact, the prose is so readable, I would not have any hesitation recommending this book for someone wanting to teach them self the topic (assuming the necessary background of course). I feel that this book could easily accommodate such a student.Another great strength of this book is the way that ideas build upon one another. The author has masterfully written a book in which your intuition about early concepts pave the way for understanding later concepts even though missing some ideas in the beginning will not cripple you in later chapters. (IE, in many books if you do not understand chapter 1, you will fail in chapter 2, etc...)The problems are very doable, but yet seem to capture the essence of ideas in the chapters well. This is in contrast to many books in which the easy problems are practically busy work, and the problems that teach you something require you to saw off your left foot. The author strikes a nice balance here. Another nice feature is that the author draws actual models from a broad range of disciplines to build the practice problem sets and worked examples.The only real complaint I have about this book (as a pure math guy), is that this book is VERY skimpy on the theory(as in proofs and connection with deeper ideas)- but I think this book is targeted to a non-mathematics or an applied math audience. Personally, I found this frustrating and somewhat unsatisfying, but consider the nature of the class/audience. The author does sprinkle some theory around, such as the occasional reference to Topology and a section on index theory- but don't blink, you might miss it. The author rarely provides proof for theorems, those that he does provide are generally very simple and seem to be provided for their intuitive value rather than rigorous completeness. I considered giving it 4 stars instead of 5 due to the lack of rigor, but both considering its intended audience and its effectiveness at building intuition dismissed that consideration quickly. If you are looking for a book that digs into the theory, this is definitely not the book for you- at least not as a primary reference.Another minor shortcoming (not so much a short coming as quality which is lacking which could make this book better) is that the book provides practice problems for use on a computer(appropriately) but does not provide any example code at all. This is not a big deal, a quick google search could easily provide you with a basic demonstration of the syntax necessary to plot a system using the language of your choice, but still. Personally, I would not let such a thing be a deal breaker for this book. (At least the author has not taken the other extreme and written the book entirely around one particular proprietary language!)Despite these shortcomings, I strongly recommend this book either as a primary text for a course in nonlinear dynamics targeted to a non-pure-math audience, or as a secondary reference for anyone. I think this is a great book that will serve you well!Oh, if the author is reading this post-ADD MORE COLOR PICTURES OF CHAOTIC SYSTEMS PLEASE!! I love looking at those!

Good text book for nonlinear dynamics. Probably the most quoted text on the subject. You tube videos of his intro course at Cornell follow book and are very worthwhile.

This book is a fine way to gain a solid working introduction to non-linear dynamics. Written by an applied mathematician working in the area, the text is conceptually rich, while keeping mathematical formalism at a minimum. A good place to start!

This book provides an exceptional introduction to nonlinear dynamics. Math books are often trapped in equating rigor with formalisms and in compromising intuition to generalities. Strogatz book provides an exemplary guideline how both intuition and rigor may be served to transform a difficult topic into fun reading and highly applicable set of ideas. Here are the key elements of what you will find in this book.A. The book builds up intuitive understanding of the key ideas of the fieldfrom simple one dimensional dynamics to complex multi-dimensional behaviors.B. Each chapter contains fascinating applications -- from fireflies synchronization and josephson junction to population dynamics and chaotic laser behaviors-- which arefun to read and useful if you need to apply dynamics to solve research problems.C. There are ample exercises and solutions to render this ideal book for self-learners. It provides a relatively broad coverage of the key ideas of the field, without taxing the reader with far corners of little interest.

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Download Ebook , by Lucius Annaeus Seneca

Download Ebook , by Lucius Annaeus Seneca

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, by Lucius Annaeus Seneca

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Product details

File Size: 1583 KB

Print Length: 182 pages

Page Numbers Source ISBN: 1719132879

Publisher: Enhanced Media Publishing; Combined edition (November 10, 2016)

Publication Date: November 10, 2016

Sold by: Amazon Digital Services LLC

Language: English

ASIN: B01MQGYIAQ

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Amazon Best Sellers Rank:

#135,297 Paid in Kindle Store (See Top 100 Paid in Kindle Store)

The unflattering review is not for Seneca or his letters but for the false advertising.Amazon indicates that the Kindle version is the Penguin edition with the Campbell translation. Not so.I returned my e-copy for a refund.

These letters of Roman philosopher Seneca are a treasure chest for anybody wishing to incorporate philosophic wisdom into their day-to-day living. By way of example, below are a few Seneca gems along with my brief comments:"Each day acquire something which will help you to face poverty, or death, and other ills as well. After running over a lot of different thoughts, pick out one to be digested throughout the day." --------- I'm completely with Seneca on this point. I approach the study of philosophy primarily for self-transformation. There is no let-up in the various challenges life throws at us - what we can change is the level of wisdom we bring to facing our challenges."It is not the man who has too little who is poor, but the one who hankers after more." ---------- This is the perennial philosophy from Aristotle to Epicurus to Epictetus to Buddha: we have to face up to our predicament as humans; we are in the realm of desire. The goal of living as a philosopher is to deal with our desires in such a way that we can maintain our tranquility and joy."But if you are looking on anyone as a friend when you do not trust him (or her) as you trust yourself, you are making a grave mistake, and have failed to grasp sufficiently the full force of true friendship." --------- Friendship was one key idea in the ancient world that modern philosophy seems to have forgotten. Seneca outlines how we must first test and judge people we consider as possible friends, but once we become friends with someone, then an abiding and complete trust is required."The very name of philosophy however modest the manner in which it is pursued, is unpopular enough as it is: imagine what the reaction would be if we started dissociating ourselves from the conventions of society. Inwardly everything should be different but our outward face should conform with the crowd. Our clothes should not be gaudy, yet they should now be dowdy either. . . . Let our aim be a way of life not diametrically opposed to, but better than that of the mob.". ---------- The call of true philosophy isn't an outward display but an internal attitude. There is a long, noble tradition of living the life of a philosopher going back to ancient Greece and Rome, that has, unfortunately, been mostly lost to us in the West. It is time to reclaim our true heritage."You may be banished to the end of the earth, and yet in whatever outlandish corner of the world you may find yourself stationed, you will find that place, whatever it may be like, a hospitable home. Where you arrive does not matter so much as what sort of person you are when you arrive there." -------- This is the ultimate Stoic worldview: our strength of character is more important that the particular life situation we find ourselves in. Very applicable in our modern world; although, chances are we will not be banished to another country, many of us will one day be banished to a nursing home."This rapidity of utterance recalls a person running down a slope and unable to stop where he meant to, being carried on instead a lot farther than he intended, at the mercy of his body's momentum; it is out of control, and unbecoming to philosophy, which should be placing her words, not throwing them around." --------- The ancient world had many people who talked a mile a minute, an unending gush of chatter. The Greco-Roman philosophers such as Seneca and Plutarch warn against garrulousness. Rather, we should mark our words well. From my own experience, when I hear long-winded pontifications, I feel like running away."The next thing I knew the book itself had charmed me into a deeper reading of it there and then. . . . It was so enjoyable that I found myself held and drawn on until I ended up having read it right through to the end without a break. All the time the sunshine was inviting me out, hunger prompting me to eat, the weather threatening to break, but I gulped it all down in one sitting." --------- Ah, the experience of being pulled into a good book! When we come upon such a book, go with it!

Simple practical wisdom to help you navigate chaotic life. There are so many jewels in this book that I've probably highland more things than I have not. I simply cannot recall the last work of literature that turned on as many lightbulbs for me except perhaps the bible when I first read it. This wisdom though transcends religion in my humble opinion. A must read, but I warn you; the wisdom and enlightenment you gain from reading Seneca's letters will only further estrange you form your dumb friends. They won't get it or your interest in it, and as they continue to fumble about in the dark, the sweetness of your metaphysical ascension will mingle with some bitterness for their blindness.

As I progress on my quest for wisdom from the classical periods I recently read Cicero's "Selected Works" and Lurcreius' "On the Nature of Things" both of which I thought lacked in any deep knowledge and found them both to be greatly disappointing. So it was to my great delight that I stumbled on Seneca's "Letters From a Stoic" which I highly recommend. Some of my favorite passages loosely organized around a theme are as follows:On One's Relationship to the Material World:*It is not the man who has too little who is poor, but the one who hankers after more.*You ask what is the proper limit to a person's wealth? First, having what is essential, and second having what is enough.*Although the wise man does not hanker after what he has lost, he does prefer not lose them.*The qualities of a just, a good and an enlightened character does not regard as valuable anything that can be taken away.*I am not against possessing riches but I want to ensure that you possess them without tremors.On One's Relationship to Society:*Inwardly everything should be different but our outward face should conform to the crowd.*The road is long if one poceeds by way of precepts but short and effectual if by way of personal example.*You ask me to say what you should consider it particularly important to avoid. My answer is this: a mass crowd.*Associating with people in large numbers is actually harmful.*Retire into yourself as much as you can. Associate with people who are likely to improve you.*Avoid whatever is approved of by the mob.*If you shape your life according to nature, you will never be poor; if according to people's opinions you will never be rich.On One's Relationship to the Body:*Pick (any exercise) for ease and straightforwardness...but whatever you do, return from body to mind very soon.*Where you arrive does not matter so much as what sort of person you are when you arrive there.*A way of speaking which is restrained, not bold, suits a wise man in the same way as an unassuming sort of walk does.*Refusal to be influenced by one's body assure one's freedom.*People who know no self-restraint lead stormy and disordered lives.On Death:*Every day, therefore, should be regulated as if it were the one that brings up the rear, the one that rounds out and completes our lives.*If God adds the morrow we should accept it joyfully.*The man you should admire and imitate is the one who finds it a joy to live and in spite of that is not reluctant to die.*You will go the way that all things go...This is the law to which you were born.*You will die not because you are sick but because you are alive...In getting well again you may be escaping some ill health but not death.*We are born unequal, we die equal.On the Value of Philosophy/Stoicism:*It molds and builds the personality, orders one's life, regulates one's conduct, shows one what one should do and what should leave undone, sits at the helm and keeps one on the course as one is tossed about in perilous seas.*Only philosophy will wake us; only philosophy will shake us out of that heavy sleep. Devote yourself entirely to her.*For the only safe harbor in this life's tossing, troubled sea is to refuse to be bothered about what the future will bring and to stand ready and confident, squaring the breast to take without skulking or flinching whatever fortune hurls at us.*It is in not man's power to have whatever he wants; but he has it in his power not to wish for what he hasn't got.*Part of the blame lies on the teachers of philosophy, who today teach us how to argue instead of how to live...The result has been the transformation of philosophy, the study of wisdom, into philology, the study of words.*No man is good by accident, virtue has to be learned.By the way, before renouncing all worldly possessions keep in mind that Seneca did not practice what he preached, was intimately attached to the material world, and readers interested in an excellent biography of Seneca's life and role during Nero's reign should consider reading James Romm's "Dying Every Day: Seneca at the Court of Nero."

This is a book that I keep next to my bed, and when I take trips it goes in my suitcase. I've given this book away several times and plan to give it away more, but I always buy a new one. Sometimes it's like looking into the mirror of western civilization, others it's like looking at our cultural family tree, but most of the time it's a book that consoles me and offers new perspectives no matter what I'm dealing with in life.On my shelf this book is next to the Bible, the Tao Te Ching, and Stephen King.It's also a book I've read passages aloud to my younger siblings during a day in the park -- that was no easy task -- but they were held captive by the introspection this book helps to trigger.

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