applications mathematical introduction undergraduate

books:

The Mechanical Universe: Mechanics and Heat, Advanced Edition

3 reviews
Steven C. Frautschi, Richard P. Olenick, ...

Cambridge University Press, 2008

One of the best books of All time
I came across the Mechanical Universe telecourses after my third year of College and really liked them. One day I discovered this book, and then had to buy its sequel. They are awesome in their storytelling ability and in the clarity they bring to some very difficult concepts. The depth of content is simply HUGE, from Integration and Differentiation to Thermodynamics and Quantum Mechanics.. I ...

Mathematical Analysis

17 reviews
Tom M. Apostol

Addison Wesley Publishing Company, 1974

The Cat's Meow
As stated by prior reveiwers, this books does assume that the reader is Mathematically mature (a saying most young Mathematicians despise), in the sense that he/she must be able to follow the logical development of any given arguement, be able to 'see' where and how topics are related as well as fill in any blanks that may present themsevles in a given definition/proof. Apostol, as compared to ...

Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (Second Edition)

23 reviews
Tom M. Apostol

Wiley, 1967

Great book but only if you want a deep treatment
This is one of the best math books I have ever used; Apostol does a great job of giving you intuition and telling you why the topics are important. The exposition is very clear. However, this is not your usual Calculus I book. The level of approach is halfway between an intro to calc class where you learn HOW to calculate derivatives/integrals, and a real analysis class where you learn why ...

Linear Algebra: A First Course, with Applications to Differential Equations

2 reviews
Tom M. Apostol

Wiley-Interscience, 1997

At Last...
The area of 'Introductory Linear Algebra' was lacking a text. We know Apostol from his rigor. There is not much new things from material in his Calculus, but it was not much noticed there.

Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications

14 reviews
Tom M. Apostol

Wiley, 1969

A classic, richness in knowledge few books attempt anymore.
I used these books (Vols. 1&2) in my last two years of high school back in South America. I remember long nights of bad coffee and cigarettes locked in my room reading it over and over. The book is full of really cool knowledge (even for a non-mathematician). Most of today's students learn like little parrots, (without thinking or understanding) just repeating things mindlessly. This will make ...

The Mechanical Universe: Introduction to Mechanics and Heat

1 review
Richard P. Olenick, Tom M. Apostol, ...

Cambridge University Press, 1985

Physics for the serious student
I found The Mechanical Universe to be among the best texts on mechanics and heat that I've ever encountered. It is clearly written, gives background material on the development of the subject, builds student knowledge with logical development and orderly progression of subject matter. The inclusion of mathematical fundamentals is well advised. Too often, the student learns his mathematics in ...

Introduction to Analytic Number Theory (Undergraduate Texts in Mathematics)

6 reviews
Tom M. Apostol

Springer, 1998

well presented, delightfully written
I think that there will be little harm if the title of the book is changed to 'Introduction to elementary number theory' instead. The author presumes that the reader has not any knowledge of number theory. As a result, materials like congruence equation, primitive roots, and quadratic reciprocity are included. Of course as the title indicates, the book focusses more on the analytic aspect. The ...

Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics)

1 review
Tom M. Apostol

Springer, 1997

Eminently Readable Introduction to Modular Forms
The contents of this text have been clearly refined by having been taught. As a result, the book is clear, well presented and easy to learn from. This is in marked contrast to most technical books, where one is often left scratching ones head by page five, thinking "what the heck does that symbol mean?" Not here: each new concept is clearly defined and articulated with the basic theorems and ...

Beyond the Mechanical Universe: From Electricity to Modern Physics

1 review
Richard P. Olenick, Tom M. Apostol, ...

Cambridge University Press, 2008

a good elementary book on electricity and magnetism
This is an elementary text on electricity and magnetism with some chapters on special relativity and modern physics. It is manifestly written for college students and has a strong historical bent. The explanations and discussions are very clear and the mathematical derivations are given in detail. This book is highly recommended for novice students who are studying electricity and magnetism. It ...

MathFilm Festival 2008: A Collection of Mathematical Videos (Springer VideoMATH)

Springer, 2008

The MathFilm DVD presents a juried collection of innovative short math videos. The films are winners of the international competition of the MathFilm Festival 2008. Following the May premiere in Berlin, the festival films are shown in public viewings throughout Germany. The festival is part of the "Year of Mathematics" initiative of the Federal Ministry of Education and Research. The films target a broad audience of students, teachers, and ...

Ten Mathematical Acrostics
Tom M. Apostol

Mathematical Assn of America, 2000

For People Who Are Amused by Words Crossword puzzles are one of the most popular forms of recreation for people who are amused by words. Acrostic puzzles are more challenging than crossword puzzles and also more fun to solve because they involve reasoning as well as a good vocabulary. The puzzles in this particular collection differ from most acrostics because all the definitions and words are related to mathematics or mathematicians. This ...

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