Mathematics is indeed the language of our universe and the heart of all the natural sciences. Whether you are pursuing any Engineering field, becoming a physicist, majoring in biology, or even becoming an artist, you will inevitably have to deal with various mathematical equations and concepts. But often these concepts can be daunting for those who are not very familiar with the subject. However, some good books and experienced professors can really make the concepts not only easier but also much more exciting. Unfortunately, good books on this subject often have hefty price tags with them.
But, there is an online platform called SolutionInn, where you can find many good books related to mathematics for free! You can also get various free math textbooks without even having to pay the shipping cost.
Following are some of the free math textbooks you can find on SolutionInn:
Conceptions of Set and the Foundations of Mathematics
by Luca Incurvati
What are sets, which are essential to mathematics and its foundations? In this book, Luca Incurvati presents a thorough analysis of all the major set conceptions, evaluates their benefits and drawbacks, and teaches the principles of the various set theories that these conceptions are connected to. He demonstrates that the mental landscape also includes the ideas of size limitation, certainty, stratification, and graphs in addition to the other conceptions. Additionally, he offers a fresh, straightforward explanation of the iterative idea that does not need the presence of a metaphysical relationship between a set and its constituents. Researchers and advanced logic and theology students will find his text interesting.
Metamathematics of First-Order Arithmetic
By Petr Hajek, Pavel Pudlak
Numbers have long piqued people’s attention, especially natural numbers. Of course, everyone has a basic understanding of what these numbers mean. Mathematicians like Grassmann, Frege, and Dedekind provided definitions for these well-known objects in the late 19th century. Since then, the creation of axiomatic arithmetic schemes has been crucial to the logical understanding of mathematics. A monograph on the mathematics of first-order arithmetic has been needed for some time. The goal of the book by Hajek and Pudlak is to discuss some of the most significant findings in the investigation of Peano arithmetic, a first-order theory of natural numbers, and their fragments. Although the field is quite active, just a small portion of the monographs are covered.
Morality and Mathematics
By Justin Clarke-Doane
How genuine are the topics of our thoughts and conversations? This is a real question. In this book, Justin Clarke-Doane investigates the justifications for and against moral realism and mathematical realism, their interactions, and what they may teach us about more general philosophically relevant topics. Contrary to popular opinion, he contends that our moral convictions have a stronger claim to being self-evident or verifiable than our beliefs in mathematics. Neither do our moral opinions have a stronger case for being empirically supported than our mathematical ideas. It is equally false to claim that contemplating the “genealogy” of our moral convictions proves there is no equality between the instances.
In general, one should be a mathematical antirealist if one is a moral antirealist based on epistemological concerns. However, Clarke-Doane demonstrates that, for an unexpected reason, moral realism and mathematical realism do not stand or collapse together.
What Is Mathematics, Really?
By Reuben Hersh
This book tackles important questions which have engaged mathematicians and philosophers for thousands of years and are still being asked today. The book’s main purpose is to ask: In what sense do mathematical objects exist? How can we have knowledge of them?
Experiencing Mathematics: What do we do, when we do mathematics?
By Reuben Hersh
Most mathematicians, when asked about the nature and meaning of mathematics, vacillate between the two unrealistic poles of Platonism and formalism. This collection of articles and essays offers a truthful, cogent, and easily comprehendible exposition of the actual mathematical evidence as well as the actuality and existence of mathematical things. It builds on Poincare, Hadamard, and Polya’s work. The predominant analytic philosophy is less appropriate for mathematical practice than John Dewey’s pragmatism. The philosophical and methodological study is brought to life through dialogue, humor, and imagination. Numerous articles on mathematics have been written by Reuben Hersh, frequently from the perspective of a scientist or philosopher. His book with Philip Davis, The Mathematical Experience, won the National Book Award in science.
Studying from some good math textbooks can really improve your concepts and help you excel in your field. So without any further ado, make use of the free textbooks available at solutionInn.