This book WON'T test your mental maths or teach you countless ways to find x. It WILL show you just how fascinating maths can be. Can maths make people rich? Can formulas predict which sports teams will win more games? Can equations explain the mysteries of the universe? The short answer to all these is YES. This book explores and explains the ways that the tools of mathematics help people make sense of the world around them, predict the future and, just maybe, how to make life itself better.
The puzzles of life astound and confuse us like no other mystery. But in this revolutionary new book, Charles Cockell reveals how nature is far more understandable and predictable than we think. Refin
At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context
We are all familiar with the popular idea that strange alien life is wildly different from life on Earth. Maybe it's made of silicon! Maybe it has wheels! Or maybe it doesn't. In The Equations of Life
A groundbreaking new view on the theory of evolution, arguing that life develops in predictable waysWe are all familiar with the popular idea of strange alien life wildly different from life on earth
Samuil Petrovitch is a survivor.He survived the nuclear fallout in St. Petersburg and hid in the London Metrozone - the last city in England. He's lived this long because he's a man of rules and logi
We spend vast amounts of time acquiring confidence in narrow technical fields: quadratic equations or bioengineering; economics or pole vaulting. But we overlook the primordial need to acquire a more
In this book, Vladimir Maz'ya describes the first thirty years of his life. He describes his formative years in the Soviet Union, the awakening of his passion for mathematics and his early achievement
This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive dis
Discover the 50 equations that have led to incredible discoveries, ground-breaking technology and have shaped our understanding of the world. From much heralded classics, like Zeno's Dichotomy and Pyt
Albert Einstein's general theory of relativity (E=mc2), is a central theory in modern physics with implications on our insight into everything from black holes to the expansion of the universe. But ho
Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced sp
Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists.
This book provides a crash course on various methods from the bifurcationtheory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and t
This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into considerati
Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers.
This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refere
