These may be too focussed on numerical. Checkout Pandas, Stats, Quantlib etc.

(Texts in Computational Science and Engineering 6) Hans Petter Langtangen (auth.)-A Primer on Scientific Programming with Python-Springer-Verlag Berlin Heidelberg (2016).pdf

The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology and finance. The book teaches “Matlab-style” and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science.

From the reviews: Langtangen … does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objects and functions and embracing the object-oriented paradigm. … Summing Up: Highly recommended.

F. H. Wild III, Choice, Vol. 47 (8), April 2010

Those of us who have learned scientific programming in Python ‘on the streets’ could be a little jealous of students who have the opportunity to take a course out of Langtangen’s Primer.”

John D. Cook, The Mathematical Association of America, September 2011

This book goes through Python in particular, and programming in general, via tasks that scientists will likely perform. It contains valuable information for students new to scientific computing and would be the perfect bridge between an introduction to programming and an advanced course on numerical methods or computational science.

Alex Small, IEEE, CiSE Vol. 14 (2), March /April 2012

“This fourth edition is a wonderful, inclusive textbook that covers pretty much everything one needs to know to go from zero to fairly sophisticated scientific programming in Python…”

Joan Horvath, Computing Reviews, March 2015

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title = {A Primer on Scientific Programming with Python},

author = {Hans Petter Langtangen (auth.)},

publisher = {Springer-Verlag Berlin Heidelberg},

isbn = {978-3-662-49886-6,978-3-662-49887-3},

year = {2016},

series = {Texts in Computational Science and Engineering 6},

edition = {5},

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url = {http://gen.lib.rus.ec/book/index.php?md5=dd6c293406f213e8be813810780b962c}

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(Texts in Computational Science and Engineering 15) Svein Linge, Hans Petter Langtangen (auth.)-Programming for Computations – Python_ A Gentle Introduction to Numerical Simulations with Python-Spring.pdf

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students.

The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Table of contents :

Front Matter….Pages i-xvi

The First Few Steps….Pages 1-28

Basic Constructions….Pages 29-53

Computing Integrals….Pages 55-93

Solving Ordinary Differential Equations….Pages 95-160

Solving Partial Differential Equations….Pages 161-183

Solving Nonlinear Algebraic Equations….Pages 185-208

Back Matter….Pages 209-232

@book{book:1580306,

title = {Programming for Computations – Python: A Gentle Introduction to Numerical Simulations with Python},

author = {Svein Linge, Hans Petter Langtangen (auth.)},

publisher = {Springer International Publishing},

isbn = {978-3-319-32427-2,978-3-319-32428-9},

year = {2016},

series = {Texts in Computational Science and Engineering 15},

edition = {1},

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url = {http://gen.lib.rus.ec/book/index.php?md5=18b0cc84ce686368cc9aee6992f7c5d3}

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(Lecture Notes in Computational Science and Engineering 110) Hans Petter Langtangen (auth.)-Finite Difference Computing with Exponential Decay Models-Springer International Publishing (2016).pdf

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.

@book{book:1533005,

title = {Finite Difference Computing with Exponential Decay Models},

author = {Hans Petter Langtangen (auth.)},

publisher = {Springer International Publishing},

isbn = {978-3-319-29438-4, 978-3-319-29439-1},

year = {2016},

series = {Lecture Notes in Computational Science and Engineering 110},

edition = {1},

volume = {},

url = {http://gen.lib.rus.ec/book/index.php?md5=e65e9a22b4a81d2d90a4561390af1b41}

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