When I was a college student, I saw a list of essential math books on a blog. I promised to myself to read all those books in 10 years because. Countless math books are published each year, however only a tiny percentage of these titles are destined to become the kind of classics that are loved the. PDF Drive is your search engine for PDF files. As of today we have 78,, eBooks for you to download for free. No annoying ads, no download limits, enjoy .
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Mathematics genre: new releases and popular books, including Infinite Powers: How Calculus Reveals the Secrets of the Universe by Steven H. Strogatz, Hum. The book covers computer arithmetic, root-finding, numerical quadrature and This text is not intended to fully prepare students with all of the mathematical. Need help in math? Delve into mathematical models and concepts, limit value or engineering mathematics and find the answers to all your questions. It doesn't.
This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses.
The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute VMI compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text.
This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size. Note, however, that once we broach the subject of these cryptologic algorithms, we take the time to make careful definitions for many cryptological concepts and to develop some related ideas of cryptology which have much more tenuous connections to the topic of number theory.
Obviously, these sections could be skipped by an uninterested reader, or remixed away by an instructor for her own particular class approach. This is a first draft of a free as in speech, not as in beer, [Sta02] although it is free as in beer as well textbook for a one-semester, undergraduate statistics course. Business math is the study of mathematics required by the field of business.
Business professionals will work with taxes, gross earnings, product prices, and currency exchange; they will be offered loans, lines of credit, mortgages, leases, savings bonds, and other financial tools. This textbook covers all of these topics and how these financial tools can maximize their earnings and minimize their costs.
It also discusses how to execute smart monetary decisions both personally and for their business. You choose the concepts that interest you, but you don't get to choose how they behave.
Magical Mathematics by Persi Diaconis and Ron Graham Both authors are top-rank mathematicians with years of stage performances behind them, and their speciality is mathematical magic. They show how mathematics relates to juggling and reveal the secrets behind some amazing card tricks. Here's one. The magician mails a pack of cards to anyone, asking them to shuffle it and choose a card. Then he shuffles the cards again, and mails half of them to the magician—not saying whether the chosen card is included.
By return mail, the magician names the selected card. No trickery: it all depends on the mathematics of shuffles. Games of Life by Karl Sigmund Biologists' understanding of many vital features of the living world, such as sex and survival, depends on the theory of evolution. One of the basic theoretical tools here is the mathematics of game theory, in which several players compete by choosing from a list of possible strategies. The children's game of rock-paper-scissors is a good example. The book illuminates such questions as how genes spread through a population and the evolution of cooperation, by finding the best strategies for games such as cat and mouse, the battle of the sexes, and the prisoner's dilemma.
On the borderline between popular science and an academic text, but eminently readable without specialist knowledge.
Mathenauts: Tales of Mathematical Wonder edited by Rudy Rucker A collection of 23 science fiction short stories, each of which centres on mathematics. The high point is Norman Kagan's utterly hilarious "The Mathenauts", in which only mathematicians can travel through space, because space is mathematical — and, conversely, anything mathematical can be reality.
An isomorphomechanism is essential equipment. Between them, these tales cover most of the undergraduate mathematics syllabus, though not in examinable form. The Mathematical Principles of Natural Philosophy by Isaac Newton There ought to be a great classic in this top 10, and there is none greater.
Publish with Elsevier
I've put it last because it's not popularisation in the strict sense. However, it slips in because it communicated to the world one of the very greatest ideas of all time: Nature has laws, and they can be expressed in the language of mathematics. Using nothing more complicated than Euclid's geometry, Newton developed his laws of motion and gravity, applying them to the motion of the planets and strange wobbles in the position of the Moon.
This will make it easier to complete the many exercises found throughout. Goldrei Review: This is a clearly written and expertly arranged independent study guide designed to make the topic of set theory comprehensible and easy to grasp for self-study students. Without a doubt, this books more than delivers. Readers can expect a smooth ride devoid of complexity and assumed pre-exposure to the subject. Ideas, commentaries and recommendations that are resourcefully placed alongside the main text delightfully height the learning experience.
This is one of those unfortunately rare but wonderfully rigorous independent study math books that many students stumble across and never seem to put down. Categories for the Working Mathematician by Saunders Mac Lane Review: The author of this work, Sunders Mac Lane, has concisely spread out all the vital category theory information that students will probably ever need to know.
Category theory is a tough topic for many and is not effortlessly explained.
Understanding Mathematics Book 4
Those with limited experience with graduate-level mathematics are cautioned to start with a more basic text before delving into this one. The astounding part about all of it is that Jan Gullberg is a doctor and not a mathematician.
The enthusiasm he exhibits throughout will spread onto readers like wildfire. This work is clearly a labor of love, not self-exaltation. Readers will appreciate that Gullberg is simply a man who has fallen in love with and holds an immense adoration for one of the most important components of human civilization.
What Is Mathematics? That is because this book does more than just skim the surface. The authors prompt readers to actually think about the ideas and methods mentioned rather than blindly swallow them down for later use.
They present captivating discussions on many topics instead of dull facts and easy answers. The end result of reading this book is an appreciation that will develop from the thought processes readers are required to use. The writing is classic and elucidating, accompanied by many engaging illustrations and side notes. Mathematics and its History by John Stillwell Review: This book contains a treasure chest of priceless history and deep facts that even established pros will find themselves learning from.
John Stillwell foregoes the encyclopedic route and makes it his goal to help the reader understand the beauty behind mathematics instead.
He brilliantly unifies mathematics into a clear depiction that urges readers to rethink what they thought they knew already. He effectively travels all pertinent ground in this relatively short text, striking a clever balance between brevity and comprehensiveness.
During the course of reading this one, it will become blatantly clear to the reader that the author has created this work out of passion and a genuine love for the subject. Every engineer can benefit deeply from reading this. He covers all aspects of computational science and engineering with experience and authority.
The topics discussed include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, and Fourier analysis and optimization. Strang has taught this material to thousands of students. With this book many more will be added to that number.
Information Science by David G. The book contains interesting historical facts and insightful examples. Luenberger forms the structure of his book around 5 main parts: entropy, economics, encryption, extraction, and emission, otherwise known as the 5 Es. He encompasses several points of view and thereby creates a well-rounded text that readers will admire. He details how each of the above parts provide function for modern info products and services.
Luenberger is a talented teacher that readers will enjoy learning from. Readers will gain a profound understanding of the types of codes and their efficiency.
Roman starts his exposition off with an introductory section containing brief preliminaries and an introduction to codes that preps the reader and makes it easier for them to process the remaining material. He follows that with two chapters containing a precise teaching on information theory, and a final section containing four chapters devoted to coding theory. He finishes this pleasing journey into information and coding theory with a brief introduction to cyclic codes.
Axler takes a thoughtful and theoretical approach to the work. This makes his proofs elegant, simple, and pleasing. He leaves the reader with unsolved exercises which many will find to be thought-provoking and stimulating.
An understanding of working with matrices is required. This book works great as a supplementary or second course introduction to linear algebra. The Four Pillars of Geometry by John Stillwell Review: This is a beautifully written book that will help students connect the dots between four differing viewpoints in geometry.
This book will help the reader develop a stronger appreciation for geometry and its unique ability to be approached at different angles — an exciting trait which ultimately enables students to strengthen their overall knowledge of the subject.
It is recommended that only those with some existing knowledge of linear and complex algebra, differential equations, and even complex analysis and algebra only use this book. Physics and engineering students beyond their introductory courses are the intended audience and will benefit the most.
The material can be used as both refresher reading and as a primary study guide. Hassani is well-versed and his presentation is expertly organized. He also effectively begins each chapter with a short preamble that helps further instill understanding of the main concepts.
Boas Review: Boas continues her tradition of conciseness and wholly satisfies physical science students with her third edition of Mathematical Methods in the Physical Sciences.
She even makes a point to stress this in the preface.
Boas has done students a tremendous service by combining essential math concepts into one easy to use reference guide. It contains vital pieces and bits of all the major topics including Complex numbers, linear algebra, PDEs, ODEs, calculus, analysis and probability and statistics.
Every physics student should certainly own this one. Jones and Josephine M. Jones Review: Undergraduate math majors will find this book to be easily approachable but containing much depth. Jones and Jones form a powerful duo and expertly take students through a painless and surprisingly enjoyable learning experience. They seem aware that many readers prefer readability over a more pedantic style. This book rightfully puts emphasis on the beauty of number theory and the authors accompany each exercise with complete solutions — something students will certainly enjoy.
This book can work excellently as both introductory course literature or supplementary study and reference material. Miller and Ramin Takloo-Bighash Review: Advanced undergrads interested in information on modern number theory will find it hard to put this book down.
The authors have created an exposition that is innovative and keeps the readers mind focused on its current occupation. The subject of modern number theory is complex and therefore this book is intended for the more experienced student.
However, the authors tackle the subject in a well-paced yet rigorous style that is more than commendable. Each page exudes brilliance, birthing an underlying deeper awareness of the topic. As described in the title this book really is an invitation — and curious readers would be wise to accept it. An Introduction to the Theory of Numbers by G. Hardy, Edward M. Wright and Andrew Wiles Review: This is a book that is commonly used in number theory courses and has become a classic staple of the subject.
Beautifully written, An Introduction to the Theory of Numbers gives elementary number theory students one of the greatest introductions they could wish for.
Led by mathematical giant G. H Hardy, readers will journey through numerous number theoretic ideas and exercises. This book will not only guide number theory students through their current studies but will also prepare them for more advanced courses should they pursue them in the future.
An absolute classic that belongs to the bookshelf on any math lover. He highlights the five critical areas of the subject which are: Convergence, Complexity, Conditioning, Compression, and Orthogonality, and makes well-planned connections to each throughout the book.
The proofs are exacting but not too intricate and will firmly satisfy students. Each chapter is laden with insight, and not just analysis.McDonald clearly guide learners through abstract algebraic topics. Please understand that we recommend only what we consider to be the best books on the market today. Although mathematical statistics are based on probability theory, there is a fundamental difference in methods between the two. Please note, this list will constantly be updated so as to keep it current.
Elementary Number Theory by Gareth A.
It is strangely akin to receiving a one-on-one lesson from the author himself. Commutative Algebra. Euclid in the Rainforest by Joseph Mazur A thoroughly readable account of the meaning of truth in mathematics, presented through a series of quirky adventures in the Greek Islands, the jungles around the Orinoco River, and elsewhere.
A college or advanced high school level text dealing with the basic principles of matrix and linear algebra.
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