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Linear Algebra (Textbooks in Mathematics)
Linear Algebra (Textbooks in Mathematics)
What you hold in your hand or—this is the 21st century—view on screen shouldn’t exist.

Let me explain. Mathematics is often taught by presenting students with a broad concept, like linear independence, and then a set of tools for identifying, using, or creating it. More rigorous courses might
...
Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)
Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)
This book provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. Using many illustrations, exercises, and problems, the author demonstrates more elaborate concepts of topology and geometry,...
Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics)
Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics)

From the reviews of the previous editions

".... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting...

Essays on the Theory of Numbers
Essays on the Theory of Numbers
Two most important essays by the famous German mathematician: First provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. Second is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.

MY attention was first directed toward
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Seven Databases in Seven Weeks: A Guide to Modern Databases and the NoSQL Movement
Seven Databases in Seven Weeks: A Guide to Modern Databases and the NoSQL Movement
It has been said that data is the new oil. If this is so, then databases are the fields, the refineries, the drills, and the pumps. Data is stored in databases, and if you’re interested in tapping into it, then coming to grips with the modern equipment is a great start.

Databases are
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The Hardy Space H1 with Non-doubling Measures and Their Applications (Lecture Notes in Mathematics)
The Hardy Space H1 with Non-doubling Measures and Their Applications (Lecture Notes in Mathematics)
In many problems from analysis, the Hardy space, H1.RD/, always appears as a suitable substitution for L1.RD/. Thanks to the seminal papers of Charles Fefferman and EliasM. Stein, Ronald R. Coifman and GuidoWeiss, Robert H. Latter and other mathematicians, the properties of the Hardy spaces Hp.RD/ with p 2 .0; 1, such as the...
General Relativity (Graduate Texts in Physics)
General Relativity (Graduate Texts in Physics)

This book provides a completely revised and expanded version of the previous classic edition ‘General Relativity and Relativistic Astrophysics’. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars – our...

Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation

This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general...

Abel's Theorem in Problems and Solutions : Based on the lectures of Professor V.I. Arnold
Abel's Theorem in Problems and Solutions : Based on the lectures of Professor V.I. Arnold
In high school algebraic equations in one unknown of first and second
degree are studied in detail. One learns that for solving these equations
there exist general formulae expressing their roots in terms of the coefficients
by means of arithmetic operations and of radicals. But very
few students know whether similar formulae do
...
Bob Miller's Calc for the Clueless: Calc I (Bob Miller's Clueless Series)
Bob Miller's Calc for the Clueless: Calc I (Bob Miller's Clueless Series)

Student tested and approved!

If you suffer from math anxiety, then sign up for private tutoring with Bob Miller! Do logarithms, sines, and cosines leave you in a cold sweat? Vectors and derivatives send stress signals to your brain? If so, then you are like the many thousands of students­­students of all ages,...

Bob Miller's Calc for the Clueless: Calc II
Bob Miller's Calc for the Clueless: Calc II
Student Tested And Approved! If you suffer from math anxiety, then sign up for private tutoring with Bob Miller! Do logarithms, sines, and cosines leave you in a cold sweat? Vectors and derivatives send stress signals to your brain? If so, them you are like the many thousands of students--students of all ages, all levels--who are anxiously trying...
Partial Differential Equations: Second Edition (Cornerstones)
Partial Differential Equations: Second Edition (Cornerstones)

This self-contained text offers an elementary introduction to partial differential equations (pdes), primarily focusing on linear equations, but also providing some perspective on nonlinear equations. The classical treatment is mathematically rigorous with a generally theoretical layout, though indications to some of the physical origins of pdes...

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