I'm interested to know more about this field. Can someone help me to know more about paleoclimatology methods to reconstruction of past climate of the Earth?
Because of contributing specific rate of matter and energy, a new climate condition can cause a specific level of environmental exchange of energy and matter. During a specific time period climate leads a specific ecosystem which contains organic and inorganic Materials. As a result, if climate condition varies in an ecosystem, the organic and inorganic material of ecosystem will change consequently. In the study of past, there are many environment, known as Archive, that preserve the traces of past environmental changes. These are some of the well known archives: Marine and lake sediment, ice core, tree ring, coral, speleothems and etc. In the study of past climates, known as paleoclimatology, climate proxies are preserved physical characteristics of the past that stand in for direct measurements (as statistical proxies), to enable scientists to reconstruct the climatic condition that prevailed during much of the Earth's history. These are some of the important proxies: pollen analysis, plant macrofossil analysis, diatom analysis, ostracoda analysis, magnetic susceptibility, isotope analysis, etc. by the way, I recommend you study some text books of the paleoclimatology for better understanding fundamental of the past climate changes and paleoclimatology methods.
The book "Paleoclimatology" by Raymond S. Bradley provides a good, up-to-date overview of the field: http://www.sciencedirect.com/science/book/9780123869135
I recommend a classic text in dendroclimatology "Tree rings and climate" by H. C. Fritts. The book has a thorough introduction to the subject and many practical examples.
Combining Small Vertebrate Marine and Stable Isotope Data to Reconstruct Past Environements J Rofes ; N. Garcia-Ibaibarriaga; M. Aguirre; B Martinez-Garcia; L. Ortega; M. C. Zuluaga; S. Bailon; A. Alonso-Olazabal; J. Castaños & X. Murelaga. Scientific Reports 5, Article number: 14219 (2015)
I can add to the previous interesting replies that pollen analysis is among the most common biostratigraphical record used in palaeoenvironmental reconstructions, and therefore climate of the past. The highest resolution is obtained for the Late Quaternary.
Moreover, the scientific journal 'Climate of the past' offers speciality papers for free consultation, as it is online and open access.
You could read one or more text books. "Paleoclimatology" by Raymond S. Bradley is a good one for a general understanding of paleoclimatology. You should also be clear what time-scales and objectives you are going to focus on, and choose to read the specific books or papers in your field.