Book picks similar to
A Course in Mathematical Analysis (3 Volume Set) by D.J.H. Garling
mathematics
30-complex-analysis
46-functional-analysis
54-general-topology
The Courier
C.W. Browning - 2020
While Hitler rebuilds Germany, and French and English leaders focus on appeasement, one man risks everything to smuggle information out of Munich – and into the hands of a young woman. Evelyn Ainsworth is enjoying a carefree summer in Paris high society with her French relatives. When her father stops to visit on his way from London to Prague, she never dreams that one favor for him will change her life forever. For beneath the glittering gaiety on the continent, a menacing shadow is growing. While many choose to look the other way, there are some who are desperate to combat the growing evil. And others even more desperate to empower it. Offered a chance to make a difference, Evelyn is drawn unexpectedly into a world she didn’t know existed. A world where war is much closer than anyone thinks, information is gold... ...and no one is safe.
An Introduction to Mathematics
Alfred North Whitehead - 1958
This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them.
The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics
Robert Oerter - 2005
The first, which describes the force of gravity, is widely known: Einstein's General Theory of Relativity. But the theory that explains everything else--the Standard Model of Elementary Particles--is virtually unknown among the general public.In The Theory of Almost Everything, Robert Oerter shows how what were once thought to be separate forces of nature were combined into a single theory by some of the most brilliant minds of the twentieth century. Rich with accessible analogies and lucid prose, The Theory of Almost Everything celebrates a heretofore unsung achievement in human knowledge--and reveals the sublime structure that underlies the world as we know it.
Linear Algebra Done Right
Sheldon Axler - 1995
The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.
The Lost Boys
Sam de Brito - 2008
He and his friends while away their days smoking dope, trying to root chicks and surfing at Maroubra. Ned's life is only just beginning – tomorrow, some time.Ned is 35. He and his mates drift through the days snorting cocaine, trying to root chicks, clinging to the pub and surfing at Bondi. For Ned, this is it – tomorrow never came.What happens when life passes you by? When the drugs no longer work and the promise of the future has become the wreckage of the past? What happens when a generation of men lose their way?Confrontingly honest, blackly funny,
The Lost Boys
is a compelling look at the dark side of being a 21st century man from a powerful new voice in fiction.
Games and Decisions: Introduction and Critical Survey
R. Duncan Luce - 1957
Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.
The Holographic Universe
Michael Talbot - 1991
Now, two of the world's most eminent thinkers -- University of London physicists David Bohm, a former protege of Einstein's and one of the world's most respected quantum physicists, and Stanford neurophysiologist Karl Pribram, one of the architects of our modern understanding of the brain -- believe that the universe itself may be a giant hologram, quite literally a kind of image or construct created, at least in part, by the human mind. This remarkable new way of looking at the universe explains not only many of the unsolved puzzles of physics, but also such mysterious occurrences as telepathy, out-of-body and near death experiences, "lucid" dreams, and even religious and mystical experiences such as feelings of cosmic unity and miraculous healings.
Statistical Consequences of Fat Tails: Real World Preasymptotics, Epistemology, and Applications
Nassim Nicholas Taleb - 2020
Switching from thin tailed to fat tailed distributions requires more than "changing the color of the dress." Traditional asymptotics deal mainly with either n=1 or n=∞, and the real world is in between, under the "laws of the medium numbers"-which vary widely across specific distributions. Both the law of large numbers and the generalized central limit mechanisms operate in highly idiosyncratic ways outside the standard Gaussian or Levy-Stable basins of convergence. A few examples: - The sample mean is rarely in line with the population mean, with effect on "na�ve empiricism," but can be sometimes be estimated via parametric methods. - The "empirical distribution" is rarely empirical. - Parameter uncertainty has compounding effects on statistical metrics. - Dimension reduction (principal components) fails. - Inequality estimators (Gini or quantile contributions) are not additive and produce wrong results. - Many "biases" found in psychology become entirely rational under more sophisticated probability distributions. - Most of the failures of financial economics, econometrics, and behavioral economics can be attributed to using the wrong distributions. This book, the first volume of the Technical Incerto, weaves a narrative around published journal articles.
Tao Te Ching by Stephen Mitchell Summary Study Guide
BookRags - 2011
38 pages of chapter summaries, quotes, character analysis, themes, and more – everything you need to sharpen your knowledge of Tao Te Ching. This detailed literature summary also contains Topics for Discussion on Tao Te Ching by Stephen Mitchell.
Symmetry: A Journey into the Patterns of Nature
Marcus du Sautoy - 2007
Our eyes and minds are drawn to symmetrical objects, from the pyramid to the pentagon. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. In chemistry and physics, the concept of symmetry explains the structure of crystals or the theory of fundamental particles; in evolutionary biology, the natural world exploits symmetry in the fight for survival; and symmetry—and the breaking of it—is central to ideas in art, architecture, and music.Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive qualities. He explores what is perhaps the most exciting discovery to date—the summit of mathematicians' mastery in the field—the Monster, a huge snowflake that exists in 196,883-dimensional space with more symmetries than there are atoms in the sun.What is it like to solve an ancient mathematical problem in a flash of inspiration? What is it like to be shown, ten minutes later, that you've made a mistake? What is it like to see the world in mathematical terms, and what can that tell us about life itself? In Symmetry, Marcus du Sautoy investigates these questions and shows mathematical novices what it feels like to grapple with some of the most complex ideas the human mind can comprehend.
Abstract Algebra
David S. Dummit - 1900
This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.
Essays on the Theory of Numbers
Richard Dedekind - 1901
W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.
Vector Calculus
Jerrold E. Marsden - 1976
The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.
Solving Mathematical Problems: A Personal Perspective
Terence Tao - 2006
Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
The Blue Effect (Cold War Book 3)
Harvey Black - 2014
Although reinforcements continue to arrive in theatre from all the NATO member countries, the Allies are pushed back relentlessly. The Eastern Bloc armies throw fresh regiments into the fray, their intention to deliver the killing lunge deep into the West’s retreating armies.What are the options open to NATO? Can the West stem the disorderly retreat? Can they gather enough conventional forces to hold? Or will they need to resort to more deadly means?Follow the series of gripping events in ‘The Blue Effect’, the third instalment in Harvey Black’s Cold War trilogy.